%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : NUM923+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 13:10:12 EDT 2022

% Result   : Unknown 115.64s 114.42s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : NUM923+4 : TPTP v8.1.0. Released v5.3.0.
% 0.03/0.12  % Command  : otter-tptp-script %s
% 0.12/0.33  % Computer : n011.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Wed Jul 27 09:35:55 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 114.75/113.55  ----- Otter 3.3f, August 2004 -----
% 114.75/113.55  The process was started by sandbox2 on n011.cluster.edu,
% 114.75/113.55  Wed Jul 27 09:35:56 2022
% 114.75/113.55  The command was "./otter".  The process ID is 24709.
% 114.75/113.55  
% 114.75/113.55  set(prolog_style_variables).
% 114.75/113.55  set(auto).
% 114.75/113.55     dependent: set(auto1).
% 114.75/113.55     dependent: set(process_input).
% 114.75/113.55     dependent: clear(print_kept).
% 114.75/113.55     dependent: clear(print_new_demod).
% 114.75/113.55     dependent: clear(print_back_demod).
% 114.75/113.55     dependent: clear(print_back_sub).
% 114.75/113.55     dependent: set(control_memory).
% 114.75/113.55     dependent: assign(max_mem, 12000).
% 114.75/113.55     dependent: assign(pick_given_ratio, 4).
% 114.75/113.55     dependent: assign(stats_level, 1).
% 114.75/113.55     dependent: assign(max_seconds, 10800).
% 114.75/113.55  clear(print_given).
% 114.75/113.55  
% 114.75/113.55  formula_list(usable).
% 114.75/113.55  all A (A=A).
% 114.75/113.55  all B_1_1 B_2_1 B_3_1 is_bool(tendst1507391555omplex(B_1_1,B_2_1,B_3_1)).
% 114.75/113.55  all B_1_1 B_2_1 B_3_1 is_bool(tendsto_complex_real(B_1_1,B_2_1,B_3_1)).
% 114.75/113.55  all B_1_1 B_2_1 B_3_1 is_bool(tendsto_nat_complex(B_1_1,B_2_1,B_3_1)).
% 114.75/113.55  all B_1_1 B_2_1 B_3_1 is_bool(tendsto_nat_real(B_1_1,B_2_1,B_3_1)).
% 114.75/113.55  all B_1_1 B_2_1 B_3_1 is_bool(tendsto_real_real(B_1_1,B_2_1,B_3_1)).
% 114.75/113.55  all B_1_1 is_bool(trivial_limit_nat(B_1_1)).
% 114.75/113.55  all B_1_1 is_bool(vanishes(B_1_1)).
% 114.75/113.55  all B_1_1 is_bool(bse_q_real(B_1_1)).
% 114.75/113.55  all B_1_1 is_bool(cauchy_complex(B_1_1)).
% 114.75/113.55  all B_1_1 is_bool(cauchy_real(B_1_1)).
% 114.75/113.55  all B_1_1 is_bool(monose_q_real(B_1_1)).
% 114.75/113.55  all B_1_1 is_bool(summable_complex(B_1_1)).
% 114.75/113.55  all B_1_1 is_bool(summable_real(B_1_1)).
% 114.75/113.55  is_bool(fFalse).
% 114.75/113.55  is_bool(fTrue).
% 114.75/113.55  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))).
% 114.75/113.55  all B_1_1 B_2_1 is_bool(hAPP_C24501650l_bool(B_1_1,B_2_1)).
% 114.75/113.55  all B_1_1 B_2_1 is_bool(hAPP_complex_bool(B_1_1,B_2_1)).
% 114.75/113.55  all B_1_1 B_2_1 (is_bool(B_2_1)->is_bool(hAPP_bool_bool(B_1_1,B_2_1))).
% 114.75/113.55  all B_1_1 B_2_1 is_bool(hAPP_int_bool(B_1_1,B_2_1)).
% 114.75/113.55  all B_1_1 B_2_1 is_bool(hAPP_nat_bool(B_1_1,B_2_1)).
% 114.75/113.55  all B_1_1 B_2_1 is_bool(hAPP_Q2096512830t_bool(B_1_1,B_2_1)).
% 114.75/113.55  all B_1_1 B_2_1 is_bool(hAPP_rat_bool(B_1_1,B_2_1)).
% 114.75/113.55  all B_1_1 B_2_1 is_bool(hAPP_real_bool(B_1_1,B_2_1)).
% 114.75/113.55  all B_1_1 B_2_1 is_bool(hAPP_f1734966846l_bool(B_1_1,B_2_1)).
% 114.75/113.55  all B_1_1 B_2_1 is_bool(hAPP_f448129468l_bool(B_1_1,B_2_1)).
% 114.75/113.55  all B_1_1 B_2_1 is_bool(hAPP_f54304608l_bool(B_1_1,B_2_1)).
% 114.75/113.55  all B_1_1 B_2_1 is_bool(hAPP_f311463272l_bool(B_1_1,B_2_1)).
% 114.75/113.55  all B_1_1 B_2_1 is_bool(hAPP_f1501066425l_bool(B_1_1,B_2_1)).
% 114.75/113.55  all B_1_1 B_2_1 is_bool(hAPP_f215623910l_bool(B_1_1,B_2_1)).
% 114.75/113.55  all B_1_1 B_2_1 is_bool(hAPP_f251496625l_bool(B_1_1,B_2_1)).
% 114.75/113.55  all B_1_1 B_2_1 is_bool(hAPP_f851219889l_bool(B_1_1,B_2_1)).
% 114.75/113.55  all B_1_1 B_2_1 is_bool(hAPP_f928428050l_bool(B_1_1,B_2_1)).
% 114.75/113.55  all B_1_1 B_2_1 is_bool(hAPP_f879361201l_bool(B_1_1,B_2_1)).
% 114.75/113.55  all B_1_1 B_2_1 is_bool(hAPP_f222989233l_bool(B_1_1,B_2_1)).
% 114.75/113.55  all B_1_1 B_2_1 is_bool(hAPP_f46817975l_bool(B_1_1,B_2_1)).
% 114.75/113.55  all B_1_1 B_2_1 is_bool(hAPP_f1469637905l_bool(B_1_1,B_2_1)).
% 114.75/113.55  all B_1_1 B_2_1 is_bool(hAPP_f526364711l_bool(B_1_1,B_2_1)).
% 114.75/113.55  all B_1_1 B_2_1 is_bool(hAPP_f115998247l_bool(B_1_1,B_2_1)).
% 114.75/113.55  all B_1_1 B_2_1 is_bool(hAPP_P1164677895l_bool(B_1_1,B_2_1)).
% 114.75/113.55  all B_1_1 B_2_1 is_bool(hAPP_P603027463t_bool(B_1_1,B_2_1)).
% 114.75/113.55  all B_1_1 B_2_1 is_bool(hAPP_P178748804t_bool(B_1_1,B_2_1)).
% 114.75/113.55  all B_1_1 B_2_1 is_bool(hAPP_P1555980039t_bool(B_1_1,B_2_1)).
% 114.75/113.55  all B_1_1 B_2_1 is_bool(hAPP_P1709355527t_bool(B_1_1,B_2_1)).
% 114.75/113.55  all B_1_1 B_2_1 is_bool(hAPP_P1333854989l_bool(B_1_1,B_2_1)).
% 114.75/113.55  all B_1_1 B_2_1 is_bool(hAPP_P880235623l_bool(B_1_1,B_2_1)).
% 114.75/113.55  all B_1_1 B_2_1 is_bool(hAPP_P62333565t_bool(B_1_1,B_2_1)).
% 114.75/113.55  all B_1_1 B_2_1 is_bool(hAPP_P1463840893t_bool(B_1_1,B_2_1)).
% 114.75/113.55  all A_2 R_3 B_1 M_1 C_1 D_3 N_1 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_2),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,R_3),B_1))),M_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,C_1),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,R_3),D_3))),N_1))=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_2),M_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_1),N_1))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,R_3),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_1),M_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,D_3),N_1))))).
% 114.75/113.55  all X_4 Y_4 A_12 B_10 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,X_4),Y_4)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_12),B_10))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,X_4),hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,Y_4),B_10))),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,X_4),A_12)),B_10))).
% 114.75/113.55  all X_4 Y_4 A_12 B_10 (hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,X_4),Y_4)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_12),B_10))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,X_4),hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,Y_4),B_10))),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,X_4),A_12)),B_10))).
% 114.75/113.55  all X_4 Y_4 A_12 B_10 (hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_4),Y_4)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_12),B_10))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_4),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Y_4),B_10))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X_4),A_12)),B_10))).
% 114.75/113.55  all X_4 Y_4 A_12 B_10 (hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_4),Y_4)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_12),B_10))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_4),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Y_4),B_10))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_4),A_12)),B_10))).
% 114.75/113.55  all X_1 Y_2 A_249 B_194 (hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,X_1),Y_2)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_249),B_194))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,X_1),A_249)),hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,Y_2),B_194))),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,X_1),A_249)),B_194))),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_249),hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,Y_2),B_194)))).
% 114.75/113.55  all X_1 Y_2 A_249 B_194 (hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_1),Y_2)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_249),B_194))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X_1),A_249)),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Y_2),B_194))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X_1),A_249)),B_194))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_249),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Y_2),B_194)))).
% 114.75/113.55  all Aa E_2 C Ba D (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Aa),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,Ba),E_2)),D)<->C=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,Ba),Aa)),E_2)),D)).
% 114.75/113.55  all Aa E_2 C Ba D (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Aa),E_2)),C)=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Ba),E_2)),D)<->C=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,Ba),Aa)),E_2)),D)).
% 114.75/113.55  all Aa E_2 C Ba D (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Aa),E_2)),C)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Ba),E_2)),D)<->C=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Ba),Aa)),E_2)),D)).
% 114.75/113.55  all Aa E_2 C Ba D (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Aa),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,Ba),E_2)),D)<->C=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Ba),Aa)),E_2)),D)).
% 114.75/113.55  all Aa E_2 C Ba D (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Aa),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,Ba),E_2)),D)<->hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,Aa),Ba)),E_2)),C)=D).
% 114.75/113.55  all Aa E_2 C Ba D (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Aa),E_2)),C)=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Ba),E_2)),D)<->hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,Aa),Ba)),E_2)),C)=D).
% 114.75/113.55  all Aa E_2 C Ba D (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Aa),E_2)),C)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Ba),E_2)),D)<->hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Aa),Ba)),E_2)),C)=D).
% 114.75/113.55  all Aa E_2 C Ba D (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Aa),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,Ba),E_2)),D)<->hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Aa),Ba)),E_2)),C)=D).
% 114.75/113.55  all X_1 (hBOOL(hAPP_int_bool(twoSqu1770640450sum2sq,X_1))<-> (exists A_1 B_3 (hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,A_1),B_3))=X_1))).
% 114.75/113.55  all A_2 B_1 C_1 (hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_2),B_1)=C_1->A_2=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_1),B_1)).
% 114.75/113.55  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))).
% 114.75/113.55  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))).
% 114.75/113.55  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))).
% 114.75/113.55  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))).
% 114.75/113.55  all A_248 B_193 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,A_248),B_193)),B_193)=A_248).
% 114.75/113.55  all A_248 B_193 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,A_248),B_193)),B_193)=A_248).
% 114.75/113.55  all A_248 B_193 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,A_248),B_193)),B_193)=A_248).
% 114.75/113.55  all A_248 B_193 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_248),B_193)),B_193)=A_248).
% 114.75/113.55  all A_247 B_192 C_101 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_247),B_192)),C_101)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_247),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_192),C_101))).
% 114.75/113.55  all A_247 B_192 C_101 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_247),B_192)),C_101)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_247),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_192),C_101))).
% 114.75/113.55  all A_247 B_192 C_101 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_247),B_192)),C_101)=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_247),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,B_192),C_101))).
% 114.75/113.55  all A_247 B_192 C_101 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_247),B_192)),C_101)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_247),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_192),C_101))).
% 114.75/113.55  all A_247 B_192 C_101 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_247),B_192)),C_101)=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_247),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_192),C_101))).
% 114.75/113.55  all A_247 B_192 C_101 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_247),B_192)),C_101)=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_247),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_192),C_101))).
% 114.75/113.55  all B_191 A_246 C_100 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,B_191),A_246)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C_100),A_246)->B_191=C_100).
% 114.75/113.55  all B_191 A_246 C_100 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,B_191),A_246)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C_100),A_246)->B_191=C_100).
% 114.75/113.55  all B_191 A_246 C_100 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,B_191),A_246)=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,C_100),A_246)->B_191=C_100).
% 114.75/113.55  all B_191 A_246 C_100 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_191),A_246)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_100),A_246)->B_191=C_100).
% 114.75/113.55  all B_191 A_246 C_100 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B_191),A_246)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C_100),A_246)->B_191=C_100).
% 114.75/113.55  all B_191 A_246 C_100 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_191),A_246)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_100),A_246)->B_191=C_100).
% 114.75/113.55  all A_245 B_190 C_99 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_245),B_190)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_245),C_99)->B_190=C_99).
% 114.75/113.55  all A_245 B_190 C_99 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_245),B_190)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_245),C_99)->B_190=C_99).
% 114.75/113.55  all A_245 B_190 C_99 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_245),B_190)=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_245),C_99)->B_190=C_99).
% 114.75/113.55  all A_245 B_190 C_99 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_245),B_190)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_245),C_99)->B_190=C_99).
% 114.75/113.55  all A_245 B_190 C_99 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_245),B_190)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_245),C_99)->B_190=C_99).
% 114.75/113.55  all A_245 B_190 C_99 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_245),B_190)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_245),C_99)->B_190=C_99).
% 114.75/113.55  all A_244 B_189 C_98 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_244),B_189)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_244),C_98)->B_189=C_98).
% 114.75/113.55  all A_244 B_189 C_98 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_244),B_189)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_244),C_98)->B_189=C_98).
% 114.75/113.55  all A_244 B_189 C_98 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_244),B_189)=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_244),C_98)->B_189=C_98).
% 114.75/113.55  all A_244 B_189 C_98 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_244),B_189)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_244),C_98)->B_189=C_98).
% 114.75/113.55  all A_244 B_189 C_98 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_244),B_189)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_244),C_98)->B_189=C_98).
% 114.75/113.55  all A_244 B_189 C_98 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_244),B_189)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_244),C_98)->B_189=C_98).
% 114.75/113.55  all Ba Aa C (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,Ba),Aa)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C),Aa)<->Ba=C).
% 114.75/113.55  all Ba Aa C (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,Ba),Aa)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C),Aa)<->Ba=C).
% 114.75/113.55  all Ba Aa C (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,Ba),Aa)=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,C),Aa)<->Ba=C).
% 114.75/113.55  all Ba Aa C (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Ba),Aa)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C),Aa)<->Ba=C).
% 114.75/113.55  all Ba Aa C (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Ba),Aa)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C),Aa)<->Ba=C).
% 114.75/113.55  all Ba Aa C (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Ba),Aa)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C),Aa)<->Ba=C).
% 114.75/113.55  all Aa Ba C (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,Aa),Ba)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,Aa),C)<->Ba=C).
% 114.75/113.55  all Aa Ba C (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,Aa),Ba)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,Aa),C)<->Ba=C).
% 114.75/113.55  all Aa Ba C (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,Aa),Ba)=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,Aa),C)<->Ba=C).
% 114.75/113.55  all Aa Ba C (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Aa),Ba)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Aa),C)<->Ba=C).
% 114.75/113.55  all Aa Ba C (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Aa),Ba)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Aa),C)<->Ba=C).
% 114.75/113.55  all Aa Ba C (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Aa),Ba)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Aa),C)<->Ba=C).
% 114.75/113.55  all A_243 B_188 C_97 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_243),B_188)),C_97)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_243),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,B_188),C_97))).
% 114.75/113.55  all A_243 B_188 C_97 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_243),B_188)),C_97)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_243),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,B_188),C_97))).
% 114.75/113.55  all A_243 B_188 C_97 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_243),B_188)),C_97)=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_243),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,B_188),C_97))).
% 114.75/113.55  all A_243 B_188 C_97 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_243),B_188)),C_97)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_243),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_188),C_97))).
% 114.75/113.55  all A_243 B_188 C_97 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_243),B_188)),C_97)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_243),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B_188),C_97))).
% 114.75/113.55  all A_243 B_188 C_97 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_243),B_188)),C_97)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_243),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_188),C_97))).
% 114.75/113.55  all Aa Ba C D (hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,Aa),Ba)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,C),D)-> (Aa=Ba<->C=D)).
% 114.75/113.55  all Aa Ba C D (hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,Aa),Ba)=hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,C),D)-> (Aa=Ba<->C=D)).
% 114.75/113.55  all Aa Ba C D (hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Aa),Ba)=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,C),D)-> (Aa=Ba<->C=D)).
% 114.75/113.55  all Aa Ba C D (hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Aa),Ba)=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,C),D)-> (Aa=Ba<->C=D)).
% 114.75/113.55  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))).
% 114.75/113.55  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)).
% 114.75/113.55  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))).
% 114.75/113.55  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))).
% 114.75/113.55  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)).
% 114.75/113.55  all A_242 E_3 B_187 C_96 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_242),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_187),E_3)),C_96))=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_242),B_187)),E_3)),C_96)).
% 114.75/113.55  all A_242 E_3 B_187 C_96 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_242),E_3)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_187),E_3)),C_96))=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_242),B_187)),E_3)),C_96)).
% 114.75/113.56  all A_242 E_3 B_187 C_96 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_242),E_3)),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,B_187),E_3)),C_96))=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_242),B_187)),E_3)),C_96)).
% 114.75/113.56  all A_242 E_3 B_187 C_96 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_242),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_187),E_3)),C_96))=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_242),B_187)),E_3)),C_96)).
% 114.75/113.56  all A_242 E_3 B_187 C_96 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_242),E_3)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_187),E_3)),C_96))=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_242),B_187)),E_3)),C_96)).
% 114.75/113.56  all A_242 E_3 B_187 C_96 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_242),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_187),E_3)),C_96))=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_242),B_187)),E_3)),C_96)).
% 114.75/113.56  all X_76 Y_63 Ya_4 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,X_76),Y_63)),Ya_4)=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,X_76),Ya_4)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Y_63),Ya_4))).
% 114.75/113.56  all X_76 Y_63 Ya_4 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_76),Y_63)),Ya_4)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_76),Ya_4)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Y_63),Ya_4))).
% 114.75/113.56  all A_241 A_240 B_186 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_241),A_240)),B_186)=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_241),B_186)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_240),B_186))).
% 114.75/113.56  all A_241 A_240 B_186 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_241),A_240)),B_186)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_241),B_186)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_240),B_186))).
% 114.75/113.56  all A_239 B_185 C_95 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_239),B_185)),C_95)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_239),C_95)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_185),C_95))).
% 114.75/113.56  all A_239 B_185 C_95 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_239),B_185)),C_95)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_239),C_95)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_185),C_95))).
% 114.75/113.56  all A_239 B_185 C_95 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_239),B_185)),C_95)=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_239),C_95)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,B_185),C_95))).
% 114.75/113.56  all A_239 B_185 C_95 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_239),B_185)),C_95)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_239),C_95)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_185),C_95))).
% 114.75/113.56  all A_239 B_185 C_95 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_239),B_185)),C_95)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_239),C_95)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_185),C_95))).
% 114.75/113.56  all A_239 B_185 C_95 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_239),B_185)),C_95)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_239),C_95)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_185),C_95))).
% 114.75/113.56  all Xa_5 X_75 Y_62 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Xa_5),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,X_75),Y_62))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Xa_5),X_75)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Xa_5),Y_62))).
% 114.75/113.56  all Xa_5 X_75 Y_62 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Xa_5),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_75),Y_62))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Xa_5),X_75)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Xa_5),Y_62))).
% 114.75/113.56  all A_238 B_184 B_183 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_238),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,B_184),B_183))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_238),B_184)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_238),B_183))).
% 114.75/113.56  all A_238 B_184 B_183 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_238),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B_184),B_183))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_238),B_184)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_238),B_183))).
% 114.75/113.56  all X_74 Y_61 Ya_3 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,X_74),Y_61)),Ya_3)=hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,X_74),Ya_3)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Y_61),Ya_3))).
% 114.75/113.56  all X_74 Y_61 Ya_3 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X_74),Y_61)),Ya_3)=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_74),Ya_3)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Y_61),Ya_3))).
% 114.75/113.56  all A_237 A_236 B_182 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,A_237),A_236)),B_182)=hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_237),B_182)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_236),B_182))).
% 114.75/113.56  all A_237 A_236 B_182 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,A_237),A_236)),B_182)=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_237),B_182)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_236),B_182))).
% 114.75/113.56  all Xa_4 X_73 Y_60 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Xa_4),hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,X_73),Y_60))=hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Xa_4),X_73)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Xa_4),Y_60))).
% 114.75/113.56  all Xa_4 X_73 Y_60 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Xa_4),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X_73),Y_60))=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Xa_4),X_73)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Xa_4),Y_60))).
% 114.75/113.56  all A_235 B_181 B_180 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_235),hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,B_181),B_180))=hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_235),B_181)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_235),B_180))).
% 114.75/113.56  all A_235 B_181 B_180 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_235),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,B_181),B_180))=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_235),B_181)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_235),B_180))).
% 114.75/113.56  all A_234 C_94 B_179 D_21 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_234),C_94)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,B_179),D_21))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,A_234),B_179)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,C_94),D_21))).
% 114.75/113.56  all A_234 C_94 B_179 D_21 (hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_234),C_94)),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,B_179),D_21))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,A_234),B_179)),hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,C_94),D_21))).
% 114.75/113.56  all A_234 C_94 B_179 D_21 (hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_234),C_94)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B_179),D_21))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,A_234),B_179)),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,C_94),D_21))).
% 114.75/113.56  all A_234 C_94 B_179 D_21 (hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_234),C_94)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_179),D_21))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_234),B_179)),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,C_94),D_21))).
% 114.75/113.56  all A_233 B_178 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_233),B_178)),B_178)=A_233).
% 114.75/113.56  all A_233 B_178 (hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_233),B_178)),B_178)=A_233).
% 114.75/113.56  all A_233 B_178 (hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_233),B_178)),B_178)=A_233).
% 114.75/113.56  all A_233 B_178 (hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_233),B_178)),B_178)=A_233).
% 114.75/113.56  all W_1 Y_2 X_1 Z_2 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,W_1),Y_2)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,X_1),Z_2))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,W_1),Z_2)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,X_1),Y_2))<->W_1=X_1|Y_2=Z_2).
% 114.75/113.56  all W_1 Y_2 X_1 Z_2 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,W_1),Y_2)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,X_1),Z_2))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,W_1),Z_2)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,X_1),Y_2))<->W_1=X_1|Y_2=Z_2).
% 114.75/113.56  all W_1 Y_2 X_1 Z_2 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,W_1),Y_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,X_1),Z_2))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,W_1),Z_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,X_1),Y_2))<->W_1=X_1|Y_2=Z_2).
% 114.75/113.56  all W_1 Y_2 X_1 Z_2 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,W_1),Y_2)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_1),Z_2))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,W_1),Z_2)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_1),Y_2))<->W_1=X_1|Y_2=Z_2).
% 114.75/113.56  all W_1 Y_2 X_1 Z_2 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,W_1),Y_2)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_1),Z_2))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,W_1),Z_2)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_1),Y_2))<->W_1=X_1|Y_2=Z_2).
% 114.75/113.56  all A_232 M_11 B_177 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_232),M_11)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_177),M_11))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_232),B_177)),M_11)).
% 114.75/113.56  all A_232 M_11 B_177 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_232),M_11)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_177),M_11))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_232),B_177)),M_11)).
% 114.75/113.56  all A_232 M_11 B_177 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_232),M_11)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,B_177),M_11))=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_232),B_177)),M_11)).
% 114.75/113.56  all A_232 M_11 B_177 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_232),M_11)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_177),M_11))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_232),B_177)),M_11)).
% 114.75/113.56  all A_232 M_11 B_177 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_232),M_11)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_177),M_11))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_232),B_177)),M_11)).
% 114.75/113.56  all A_232 M_11 B_177 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_232),M_11)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_177),M_11))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_232),B_177)),M_11)).
% 114.75/113.56  all A_231 B_176 C_93 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_231),B_176)),C_93)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_231),C_93)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_176),C_93))).
% 114.75/113.56  all A_231 B_176 C_93 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_231),B_176)),C_93)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_231),C_93)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_176),C_93))).
% 114.75/113.56  all A_231 B_176 C_93 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_231),B_176)),C_93)=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_231),C_93)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,B_176),C_93))).
% 114.75/113.56  all A_231 B_176 C_93 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_231),B_176)),C_93)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_231),C_93)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_176),C_93))).
% 114.75/113.56  all A_231 B_176 C_93 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_231),B_176)),C_93)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_231),C_93)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_176),C_93))).
% 114.75/113.56  all A_231 B_176 C_93 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_231),B_176)),C_93)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_231),C_93)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_176),C_93))).
% 114.75/113.56  all C D Aa Ba (Aa!=Ba&C!=D<->hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Aa),C)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Ba),D))!=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Aa),D)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Ba),C))).
% 114.75/113.56  all C D Aa Ba (Aa!=Ba&C!=D<->hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Aa),C)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Ba),D))!=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Aa),D)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Ba),C))).
% 114.75/113.56  all C D Aa Ba (Aa!=Ba&C!=D<->hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Aa),C)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Ba),D))!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Aa),D)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Ba),C))).
% 114.75/113.56  all C D Aa Ba (Aa!=Ba&C!=D<->hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Aa),C)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Ba),D))!=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Aa),D)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Ba),C))).
% 114.75/113.56  all C D Aa Ba (Aa!=Ba&C!=D<->hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Aa),C)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Ba),D))!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Aa),D)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Ba),C))).
% 114.75/113.56  all X_72 Y_59 Z_22 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,X_72),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,Y_59),Z_22))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,X_72),Y_59)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,X_72),Z_22))).
% 114.75/113.56  all X_72 Y_59 Z_22 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,X_72),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,Y_59),Z_22))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,X_72),Y_59)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,X_72),Z_22))).
% 114.75/113.56  all X_72 Y_59 Z_22 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,X_72),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,Y_59),Z_22))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,X_72),Y_59)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,X_72),Z_22))).
% 114.75/113.56  all X_72 Y_59 Z_22 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,X_72),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Y_59),Z_22))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,X_72),Y_59)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,X_72),Z_22))).
% 114.75/113.56  all X_72 Y_59 Z_22 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_72),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Y_59),Z_22))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_72),Y_59)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_72),Z_22))).
% 114.75/113.56  all X_72 Y_59 Z_22 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_72),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Y_59),Z_22))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_72),Y_59)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_72),Z_22))).
% 114.75/113.56  all Aa Ba A_228 B_173 (hAPP_f538843494t_bool(hAPP_f1418982953t_bool(produc713279741t_bool,Aa),Ba)=hAPP_f538843494t_bool(hAPP_f1418982953t_bool(produc713279741t_bool,A_228),B_173)-> -(Aa=A_228->Ba!=B_173)).
% 114.75/113.56  all A_230 B_175 A_229 B_174 (hAPP_P230595783nt_int(hAPP_P941956607nt_int(produc883642259nt_int,A_230),B_175)=hAPP_P230595783nt_int(hAPP_P941956607nt_int(produc883642259nt_int,A_229),B_174)-> -(A_230=A_229->B_175!=B_174)).
% 114.75/113.56  all A_230 B_175 A_229 B_174 (hAPP_Q1256397320de_int(hAPP_Q952608535de_int(produc1318306967de_int,A_230),B_175)=hAPP_Q1256397320de_int(hAPP_Q952608535de_int(produc1318306967de_int,A_229),B_174)-> -(A_230=A_229->B_175!=B_174)).
% 114.75/113.56  all A_230 B_175 A_229 B_174 (hAPP_C2132160860umeral(hAPP_C1614127039umeral(produc2136830103umeral,A_230),B_175)=hAPP_C2132160860umeral(hAPP_C1614127039umeral(produc2136830103umeral,A_229),B_174)-> -(A_230=A_229->B_175!=B_174)).
% 114.75/113.56  all A_230 B_175 A_229 B_174 (hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,A_230),B_175)=hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,A_229),B_174)-> -(A_230=A_229->B_175!=B_174)).
% 114.75/113.56  all A_230 B_175 A_229 B_174 (hAPP_P369611207at_nat(hAPP_P402336767at_nat(produc494345619at_nat,A_230),B_175)=hAPP_P369611207at_nat(hAPP_P402336767at_nat(produc494345619at_nat,A_229),B_174)-> -(A_230=A_229->B_175!=B_174)).
% 114.75/113.56  all A_230 B_175 A_229 B_174 (hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,A_230),B_175)=hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,A_229),B_174)-> -(A_230=A_229->B_175!=B_174)).
% 114.75/113.56  all A_230 B_175 A_229 B_174 (hAPP_P408881810nt_int(hAPP_i1730167831nt_int(produc282740534nt_int,A_230),B_175)=hAPP_P408881810nt_int(hAPP_i1730167831nt_int(produc282740534nt_int,A_229),B_174)-> -(A_230=A_229->B_175!=B_174)).
% 114.75/113.56  all A_230 B_175 A_229 B_174 (hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,A_230),B_175)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,A_229),B_174)-> -(A_230=A_229->B_175!=B_174)).
% 114.75/113.56  all Aa Ba A_228 B_173 (hAPP_f538843494t_bool(hAPP_f1418982953t_bool(produc713279741t_bool,Aa),Ba)=hAPP_f538843494t_bool(hAPP_f1418982953t_bool(produc713279741t_bool,A_228),B_173)<->Aa=A_228&Ba=B_173).
% 114.75/113.56  all Aa Ba A_228 B_173 (hAPP_P230595783nt_int(hAPP_P941956607nt_int(produc883642259nt_int,Aa),Ba)=hAPP_P230595783nt_int(hAPP_P941956607nt_int(produc883642259nt_int,A_228),B_173)<->Aa=A_228&Ba=B_173).
% 114.75/113.56  all Aa Ba A_228 B_173 (hAPP_Q1256397320de_int(hAPP_Q952608535de_int(produc1318306967de_int,Aa),Ba)=hAPP_Q1256397320de_int(hAPP_Q952608535de_int(produc1318306967de_int,A_228),B_173)<->Aa=A_228&Ba=B_173).
% 114.75/113.56  all Aa Ba A_228 B_173 (hAPP_C2132160860umeral(hAPP_C1614127039umeral(produc2136830103umeral,Aa),Ba)=hAPP_C2132160860umeral(hAPP_C1614127039umeral(produc2136830103umeral,A_228),B_173)<->Aa=A_228&Ba=B_173).
% 114.75/113.56  all Aa Ba A_228 B_173 (hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,Aa),Ba)=hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,A_228),B_173)<->Aa=A_228&Ba=B_173).
% 114.75/113.56  all Aa Ba A_228 B_173 (hAPP_P369611207at_nat(hAPP_P402336767at_nat(produc494345619at_nat,Aa),Ba)=hAPP_P369611207at_nat(hAPP_P402336767at_nat(produc494345619at_nat,A_228),B_173)<->Aa=A_228&Ba=B_173).
% 114.75/113.56  all Aa Ba A_228 B_173 (hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,Aa),Ba)=hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,A_228),B_173)<->Aa=A_228&Ba=B_173).
% 114.75/113.56  all Aa Ba A_228 B_173 (hAPP_P408881810nt_int(hAPP_i1730167831nt_int(produc282740534nt_int,Aa),Ba)=hAPP_P408881810nt_int(hAPP_i1730167831nt_int(produc282740534nt_int,A_228),B_173)<->Aa=A_228&Ba=B_173).
% 114.75/113.56  all Aa Ba A_228 B_173 (hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Aa),Ba)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,A_228),B_173)<->Aa=A_228&Ba=B_173).
% 114.75/113.56  all P_1 ((all X1 hBOOL(hAPP_P880235623l_bool(P_1,X1)))<-> (all A_1 B_3 hBOOL(hAPP_P880235623l_bool(P_1,hAPP_f538843494t_bool(hAPP_f1418982953t_bool(produc713279741t_bool,A_1),B_3))))).
% 114.75/113.56  all P_1 ((all X1 hBOOL(hAPP_P62333565t_bool(P_1,X1)))<-> (all A_1 B_3 hBOOL(hAPP_P62333565t_bool(P_1,hAPP_P230595783nt_int(hAPP_P941956607nt_int(produc883642259nt_int,A_1),B_3))))).
% 114.75/113.56  all P_1 ((all X1 hBOOL(hAPP_P1709355527t_bool(P_1,X1)))<-> (all A_1 B_3 hBOOL(hAPP_P1709355527t_bool(P_1,hAPP_Q1256397320de_int(hAPP_Q952608535de_int(produc1318306967de_int,A_1),B_3))))).
% 114.75/113.56  all P_1 ((all X1 hBOOL(hAPP_P1164677895l_bool(P_1,X1)))<-> (all A_1 B_3 hBOOL(hAPP_P1164677895l_bool(P_1,hAPP_C2132160860umeral(hAPP_C1614127039umeral(produc2136830103umeral,A_1),B_3))))).
% 114.75/113.56  all P_1 ((all X1 hBOOL(hAPP_P1333854989l_bool(P_1,X1)))<-> (all A_1 B_3 hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,A_1),B_3))))).
% 114.75/113.56  all P_1 ((all X1 hBOOL(hAPP_P1463840893t_bool(P_1,X1)))<-> (all A_1 B_3 hBOOL(hAPP_P1463840893t_bool(P_1,hAPP_P369611207at_nat(hAPP_P402336767at_nat(produc494345619at_nat,A_1),B_3))))).
% 114.75/113.56  all P_1 ((all X1 hBOOL(hAPP_P1555980039t_bool(P_1,X1)))<-> (all A_1 B_3 hBOOL(hAPP_P1555980039t_bool(P_1,hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,A_1),B_3))))).
% 114.75/113.56  all P_1 ((all X1 hBOOL(hAPP_P178748804t_bool(P_1,X1)))<-> (all A_1 B_3 hBOOL(hAPP_P178748804t_bool(P_1,hAPP_P408881810nt_int(hAPP_i1730167831nt_int(produc282740534nt_int,A_1),B_3))))).
% 114.75/113.56  all P_1 ((all X1 hBOOL(hAPP_P603027463t_bool(P_1,X1)))<-> (all A_1 B_3 hBOOL(hAPP_P603027463t_bool(P_1,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,A_1),B_3))))).
% 114.75/113.56  all A_227 B_172 C_92 D_20 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_227),B_172)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C_92),D_20))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_227),C_92)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,B_172),D_20))).
% 114.75/113.56  all A_227 B_172 C_92 D_20 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_227),B_172)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C_92),D_20))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_227),C_92)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,B_172),D_20))).
% 114.75/113.56  all A_227 B_172 C_92 D_20 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_227),B_172)),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,C_92),D_20))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_227),C_92)),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,B_172),D_20))).
% 114.75/113.56  all A_227 B_172 C_92 D_20 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_227),B_172)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_92),D_20))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_227),C_92)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_172),D_20))).
% 114.75/113.56  all A_227 B_172 C_92 D_20 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_227),B_172)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C_92),D_20))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_227),C_92)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B_172),D_20))).
% 114.75/113.56  all A_227 B_172 C_92 D_20 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_227),B_172)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_92),D_20))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_227),C_92)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_172),D_20))).
% 114.75/113.56  all A_226 B_171 C_91 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_226),B_171)),C_91)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_226),C_91)),B_171)).
% 114.75/113.56  all A_226 B_171 C_91 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_226),B_171)),C_91)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_226),C_91)),B_171)).
% 114.75/113.56  all A_226 B_171 C_91 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_226),B_171)),C_91)=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_226),C_91)),B_171)).
% 114.75/113.56  all A_226 B_171 C_91 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_226),B_171)),C_91)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_226),C_91)),B_171)).
% 114.75/113.56  all A_226 B_171 C_91 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_226),B_171)),C_91)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_226),C_91)),B_171)).
% 114.75/113.56  all A_226 B_171 C_91 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_226),B_171)),C_91)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_226),C_91)),B_171)).
% 114.75/113.56  all A_225 B_170 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_225),B_170)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_170),A_225)).
% 114.75/113.56  all A_225 B_170 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_225),B_170)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_170),A_225)).
% 114.75/113.56  all A_225 B_170 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_225),B_170)=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,B_170),A_225)).
% 114.75/113.56  all A_225 B_170 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_225),B_170)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_170),A_225)).
% 114.75/113.56  all A_225 B_170 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_225),B_170)=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_170),A_225)).
% 114.75/113.56  all A_225 B_170 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_225),B_170)=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_170),A_225)).
% 114.75/113.56  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))).
% 114.75/113.56  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))).
% 114.75/113.56  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))).
% 114.75/113.56  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))).
% 114.75/113.56  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))).
% 114.75/113.56  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))).
% 114.75/113.56  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)).
% 114.75/113.56  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)).
% 114.75/113.56  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)).
% 114.75/113.56  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)).
% 114.75/113.56  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)).
% 114.75/113.56  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)).
% 114.75/113.56  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))).
% 114.75/113.56  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))).
% 114.75/113.56  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))).
% 114.75/113.56  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))).
% 114.75/113.56  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))).
% 114.75/113.56  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))).
% 114.75/113.56  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)).
% 114.75/113.56  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)).
% 114.75/113.56  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)).
% 114.75/113.56  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)).
% 114.75/113.56  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)).
% 114.75/113.56  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)).
% 114.75/113.56  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)))).
% 114.75/113.56  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)))).
% 114.75/113.56  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)))).
% 114.75/113.56  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)))).
% 114.75/113.56  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)))).
% 114.75/113.56  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)))).
% 114.75/113.56  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))).
% 114.75/113.56  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))).
% 114.75/113.56  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))).
% 114.75/113.56  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))).
% 114.75/113.56  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))).
% 114.75/113.56  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))).
% 114.75/113.56  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))).
% 114.75/113.56  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))).
% 114.76/113.56  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))).
% 114.76/113.56  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))).
% 114.76/113.56  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))).
% 114.76/113.56  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))).
% 114.76/113.56  all A_224 C_90 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_224),C_90)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C_90),A_224)).
% 114.76/113.56  all A_224 C_90 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_224),C_90)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C_90),A_224)).
% 114.76/113.56  all A_224 C_90 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_224),C_90)=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,C_90),A_224)).
% 114.76/113.56  all A_224 C_90 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_224),C_90)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_90),A_224)).
% 114.76/113.56  all A_224 C_90 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_224),C_90)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C_90),A_224)).
% 114.76/113.56  all A_224 C_90 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_224),C_90)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_90),A_224)).
% 114.76/113.56  all A_223 C_89 D_19 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_223),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C_89),D_19))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C_89),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_223),D_19))).
% 114.76/113.56  all A_223 C_89 D_19 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_223),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C_89),D_19))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C_89),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_223),D_19))).
% 114.76/113.56  all A_223 C_89 D_19 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_223),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,C_89),D_19))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,C_89),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_223),D_19))).
% 114.76/113.56  all A_223 C_89 D_19 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_223),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_89),D_19))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_89),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_223),D_19))).
% 114.76/113.56  all A_223 C_89 D_19 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_223),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C_89),D_19))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C_89),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_223),D_19))).
% 114.76/113.56  all A_223 C_89 D_19 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_223),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_89),D_19))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_89),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_223),D_19))).
% 114.76/113.56  all A_222 C_88 D_18 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_222),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C_88),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_222),C_88)),D_18)).
% 114.76/113.56  all A_222 C_88 D_18 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_222),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C_88),D_18))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_222),C_88)),D_18)).
% 114.76/113.56  all A_222 C_88 D_18 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_222),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,C_88),D_18))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_222),C_88)),D_18)).
% 114.76/113.56  all A_222 C_88 D_18 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_222),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_88),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_222),C_88)),D_18)).
% 114.76/113.56  all A_222 C_88 D_18 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_222),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C_88),D_18))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_222),C_88)),D_18)).
% 114.76/113.56  all A_222 C_88 D_18 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_222),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_88),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_222),C_88)),D_18)).
% 114.76/113.56  all A_221 B_169 C_87 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_221),B_169)),C_87)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_221),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,B_169),C_87))).
% 114.76/113.56  all A_221 B_169 C_87 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_221),B_169)),C_87)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_221),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,B_169),C_87))).
% 114.76/113.56  all A_221 B_169 C_87 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_221),B_169)),C_87)=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_221),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,B_169),C_87))).
% 114.76/113.56  all A_221 B_169 C_87 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_221),B_169)),C_87)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_221),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_169),C_87))).
% 114.76/113.56  all A_221 B_169 C_87 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_221),B_169)),C_87)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_221),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B_169),C_87))).
% 114.76/113.56  all A_221 B_169 C_87 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_221),B_169)),C_87)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_221),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_169),C_87))).
% 114.76/113.56  all P_1 ((exists X1 hBOOL(hAPP_P880235623l_bool(P_1,X1)))<-> (exists A_1 B_3 hBOOL(hAPP_P880235623l_bool(P_1,hAPP_f538843494t_bool(hAPP_f1418982953t_bool(produc713279741t_bool,A_1),B_3))))).
% 114.76/113.56  all P_1 ((exists X1 hBOOL(hAPP_P62333565t_bool(P_1,X1)))<-> (exists A_1 B_3 hBOOL(hAPP_P62333565t_bool(P_1,hAPP_P230595783nt_int(hAPP_P941956607nt_int(produc883642259nt_int,A_1),B_3))))).
% 114.76/113.56  all P_1 ((exists X1 hBOOL(hAPP_P1709355527t_bool(P_1,X1)))<-> (exists A_1 B_3 hBOOL(hAPP_P1709355527t_bool(P_1,hAPP_Q1256397320de_int(hAPP_Q952608535de_int(produc1318306967de_int,A_1),B_3))))).
% 114.76/113.56  all P_1 ((exists X1 hBOOL(hAPP_P1164677895l_bool(P_1,X1)))<-> (exists A_1 B_3 hBOOL(hAPP_P1164677895l_bool(P_1,hAPP_C2132160860umeral(hAPP_C1614127039umeral(produc2136830103umeral,A_1),B_3))))).
% 114.76/113.56  all P_1 ((exists X1 hBOOL(hAPP_P1333854989l_bool(P_1,X1)))<-> (exists A_1 B_3 hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,A_1),B_3))))).
% 114.76/113.56  all P_1 ((exists X1 hBOOL(hAPP_P1463840893t_bool(P_1,X1)))<-> (exists A_1 B_3 hBOOL(hAPP_P1463840893t_bool(P_1,hAPP_P369611207at_nat(hAPP_P402336767at_nat(produc494345619at_nat,A_1),B_3))))).
% 114.76/113.56  all P_1 ((exists X1 hBOOL(hAPP_P1555980039t_bool(P_1,X1)))<-> (exists A_1 B_3 hBOOL(hAPP_P1555980039t_bool(P_1,hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,A_1),B_3))))).
% 114.76/113.56  all P_1 ((exists X1 hBOOL(hAPP_P178748804t_bool(P_1,X1)))<-> (exists A_1 B_3 hBOOL(hAPP_P178748804t_bool(P_1,hAPP_P408881810nt_int(hAPP_i1730167831nt_int(produc282740534nt_int,A_1),B_3))))).
% 114.76/113.56  all P_1 ((exists X1 hBOOL(hAPP_P603027463t_bool(P_1,X1)))<-> (exists A_1 B_3 hBOOL(hAPP_P603027463t_bool(P_1,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,A_1),B_3))))).
% 114.76/113.56  all X_1 P_1 ((all A_1 B_3 C_3 hBOOL(hAPP_P62333565t_bool(P_1,hAPP_P230595783nt_int(hAPP_P941956607nt_int(produc883642259nt_int,A_1),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,B_3),C_3)))))->hBOOL(hAPP_P62333565t_bool(P_1,X_1))).
% 114.76/113.56  all X_1 P_1 ((all A_1 B_3 C_3 hBOOL(hAPP_P1463840893t_bool(P_1,hAPP_P369611207at_nat(hAPP_P402336767at_nat(produc494345619at_nat,A_1),hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,B_3),C_3)))))->hBOOL(hAPP_P1463840893t_bool(P_1,X_1))).
% 114.76/113.56  all X_1 P_1 ((all A_1 B_3 C_3 hBOOL(hAPP_P178748804t_bool(P_1,hAPP_P408881810nt_int(hAPP_i1730167831nt_int(produc282740534nt_int,A_1),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,B_3),C_3)))))->hBOOL(hAPP_P178748804t_bool(P_1,X_1))).
% 114.76/113.56  all Y_58 (-(all A_1 B_3 C_3 (Y_58!=hAPP_P230595783nt_int(hAPP_P941956607nt_int(produc883642259nt_int,A_1),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,B_3),C_3))))).
% 114.76/113.56  all Y_58 (-(all A_1 B_3 C_3 (Y_58!=hAPP_P369611207at_nat(hAPP_P402336767at_nat(produc494345619at_nat,A_1),hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,B_3),C_3))))).
% 114.76/113.56  all Y_58 (-(all A_1 B_3 C_3 (Y_58!=hAPP_P408881810nt_int(hAPP_i1730167831nt_int(produc282740534nt_int,A_1),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,B_3),C_3))))).
% 114.76/113.56  all Pa (-(all X_2 Y_1 (Pa!=hAPP_f538843494t_bool(hAPP_f1418982953t_bool(produc713279741t_bool,X_2),Y_1)))).
% 114.76/113.56  all P_7 (-(all X_2 Y_1 (P_7!=hAPP_P230595783nt_int(hAPP_P941956607nt_int(produc883642259nt_int,X_2),Y_1)))).
% 114.76/113.56  all P_7 (-(all X_2 Y_1 (P_7!=hAPP_Q1256397320de_int(hAPP_Q952608535de_int(produc1318306967de_int,X_2),Y_1)))).
% 114.76/113.56  all P_7 (-(all X_2 Y_1 (P_7!=hAPP_C2132160860umeral(hAPP_C1614127039umeral(produc2136830103umeral,X_2),Y_1)))).
% 114.76/113.56  all P_7 (-(all X_2 Y_1 (P_7!=hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,X_2),Y_1)))).
% 114.76/113.56  all P_7 (-(all X_2 Y_1 (P_7!=hAPP_P369611207at_nat(hAPP_P402336767at_nat(produc494345619at_nat,X_2),Y_1)))).
% 114.76/113.56  all P_7 (-(all X_2 Y_1 (P_7!=hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,X_2),Y_1)))).
% 114.76/113.56  all P_7 (-(all X_2 Y_1 (P_7!=hAPP_P408881810nt_int(hAPP_i1730167831nt_int(produc282740534nt_int,X_2),Y_1)))).
% 114.76/113.56  all P_7 (-(all X_2 Y_1 (P_7!=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,X_2),Y_1)))).
% 114.76/113.56  all X_1 A (hBOOL(hAPP_f1469637905l_bool(hAPP_P1681069257l_bool(member308914164t_bool,X_1),A))<->hBOOL(hAPP_P880235623l_bool(A,X_1))).
% 114.76/113.56  all X_1 A (hBOOL(hAPP_f526364711l_bool(hAPP_P1062890741l_bool(member2143287562nt_int,X_1),A))<->hBOOL(hAPP_P62333565t_bool(A,X_1))).
% 114.76/113.56  all X_1 A (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))<->hBOOL(hAPP_nat_bool(A,X_1))).
% 114.76/113.56  all X_1 A (hBOOL(hAPP_f215623910l_bool(hAPP_f628503027l_bool(member_fun_int_bool,X_1),A))<->hBOOL(hAPP_f448129468l_bool(A,X_1))).
% 114.76/113.56  all X_1 A (hBOOL(hAPP_f115998247l_bool(hAPP_P1876494581l_bool(member180897546at_nat,X_1),A))<->hBOOL(hAPP_P1463840893t_bool(A,X_1))).
% 114.76/113.56  all X_1 A (hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,X_1),A))<->hBOOL(hAPP_real_bool(A,X_1))).
% 114.76/113.56  all X_1 A (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A))<->hBOOL(hAPP_int_bool(A,X_1))).
% 114.76/113.56  all P_1 (collec1979865426at_nat(P_1)=P_1).
% 114.76/113.56  all P_1 (collect_real(P_1)=P_1).
% 114.76/113.56  all P_1 (collec1347809874nt_int(P_1)=P_1).
% 114.76/113.56  all P_1 (collec50511176nt_int(P_1)=P_1).
% 114.76/113.56  all P_1 (collect_nat(P_1)=P_1).
% 114.76/113.56  all P_1 (collect_int(P_1)=P_1).
% 114.76/113.56  all Y_2 (-(all A_1 B_3 (Y_2!=hAPP_f538843494t_bool(hAPP_f1418982953t_bool(produc713279741t_bool,A_1),B_3)))).
% 114.76/113.56  all Y_57 (-(all A_1 B_3 (Y_57!=hAPP_P230595783nt_int(hAPP_P941956607nt_int(produc883642259nt_int,A_1),B_3)))).
% 114.76/113.56  all Y_57 (-(all A_1 B_3 (Y_57!=hAPP_Q1256397320de_int(hAPP_Q952608535de_int(produc1318306967de_int,A_1),B_3)))).
% 114.76/113.56  all Y_57 (-(all A_1 B_3 (Y_57!=hAPP_C2132160860umeral(hAPP_C1614127039umeral(produc2136830103umeral,A_1),B_3)))).
% 114.76/113.56  all Y_57 (-(all A_1 B_3 (Y_57!=hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,A_1),B_3)))).
% 114.76/113.56  all Y_57 (-(all A_1 B_3 (Y_57!=hAPP_P369611207at_nat(hAPP_P402336767at_nat(produc494345619at_nat,A_1),B_3)))).
% 114.76/113.56  all Y_57 (-(all A_1 B_3 (Y_57!=hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,A_1),B_3)))).
% 114.76/113.56  all Y_57 (-(all A_1 B_3 (Y_57!=hAPP_P408881810nt_int(hAPP_i1730167831nt_int(produc282740534nt_int,A_1),B_3)))).
% 114.76/113.56  all Y_57 (-(all A_1 B_3 (Y_57!=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,A_1),B_3)))).
% 114.76/113.56  all F Aa Ba (hBOOL(hAPP_P880235623l_bool(F,hAPP_f538843494t_bool(hAPP_f1418982953t_bool(produc713279741t_bool,Aa),Ba)))->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(produc1775888740l_bool(F),Aa),Ba))).
% 114.76/113.56  all F Aa Ba (hBOOL(hAPP_P62333565t_bool(F,hAPP_P230595783nt_int(hAPP_P941956607nt_int(produc883642259nt_int,Aa),Ba)))->hBOOL(hAPP_P603027463t_bool(hAPP_P989584703t_bool(produc353512698t_bool(F),Aa),Ba))).
% 114.76/113.56  all F Aa Ba (hBOOL(hAPP_P1709355527t_bool(F,hAPP_Q1256397320de_int(hAPP_Q952608535de_int(produc1318306967de_int,Aa),Ba)))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(produc2013771390t_bool(F),Aa),Ba))).
% 114.76/113.56  all F Aa Ba (hBOOL(hAPP_P1164677895l_bool(F,hAPP_C2132160860umeral(hAPP_C1614127039umeral(produc2136830103umeral,Aa),Ba)))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(produc609372286l_bool(F),Aa),Ba))).
% 114.76/113.56  all F Aa Ba (hBOOL(hAPP_P1333854989l_bool(F,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,Aa),Ba)))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(produc748992778l_bool(F),Aa),Ba))).
% 114.76/113.56  all F Aa Ba (hBOOL(hAPP_P1463840893t_bool(F,hAPP_P369611207at_nat(hAPP_P402336767at_nat(produc494345619at_nat,Aa),Ba)))->hBOOL(hAPP_P1555980039t_bool(hAPP_P705731903t_bool(produc1319041786t_bool(F),Aa),Ba))).
% 114.76/113.56  all F Aa Ba (hBOOL(hAPP_P1555980039t_bool(F,hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,Aa),Ba)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(produc2091540094t_bool(F),Aa),Ba))).
% 114.76/113.56  all F Aa Ba (hBOOL(hAPP_P178748804t_bool(F,hAPP_P408881810nt_int(hAPP_i1730167831nt_int(produc282740534nt_int,Aa),Ba)))->hBOOL(hAPP_P603027463t_bool(hAPP_i119638232t_bool(produc97574839t_bool(F),Aa),Ba))).
% 114.76/113.56  all F Aa Ba (hBOOL(hAPP_P603027463t_bool(F,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Aa),Ba)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(produc262399358t_bool(F),Aa),Ba))).
% 114.76/113.56  all Aa E_2 C Ba D (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Aa),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,Ba),E_2)),D)))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,Aa),Ba)),E_2)),C)),D))).
% 114.76/113.56  all Aa E_2 C Ba D (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Aa),E_2)),C)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Ba),E_2)),D)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Aa),Ba)),E_2)),C)),D))).
% 114.76/113.56  all Aa E_2 C Ba D (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Aa),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,Ba),E_2)),D)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Aa),Ba)),E_2)),C)),D))).
% 114.76/113.56  all Aa E_2 C Ba D (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Aa),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,Ba),E_2)),D)))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,C),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,Ba),Aa)),E_2)),D)))).
% 114.76/113.56  all Aa E_2 C Ba D (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Aa),E_2)),C)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Ba),E_2)),D)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Ba),Aa)),E_2)),D)))).
% 114.76/113.56  all Aa E_2 C Ba D (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Aa),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,Ba),E_2)),D)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Ba),Aa)),E_2)),D)))).
% 114.76/113.56  all X_71 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,X_71),X_71)),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_71),one_one_rat)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,X_71),one_one_rat))).
% 114.76/113.56  all X_71 (hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,X_71),X_71)),one_one_complex)=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,X_71),one_one_complex)),hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,X_71),one_one_complex))).
% 114.76/113.56  all X_71 (hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_71),X_71)),one_one_real)=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_71),one_one_real)),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X_71),one_one_real))).
% 114.76/113.56  all X_71 (hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_71),X_71)),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_71),one_one_int)),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_71),one_one_int))).
% 114.76/113.56  all Aa E_2 C Ba D (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Aa),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,Ba),E_2)),D)))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,Aa),Ba)),E_2)),C)),D))).
% 114.76/113.56  all Aa E_2 C Ba D (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Aa),E_2)),C)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Ba),E_2)),D)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Aa),Ba)),E_2)),C)),D))).
% 114.76/113.56  all Aa E_2 C Ba D (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Aa),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,Ba),E_2)),D)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Aa),Ba)),E_2)),C)),D))).
% 114.76/113.56  all Aa E_2 C Ba D (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Aa),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,Ba),E_2)),D)))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,C),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,Ba),Aa)),E_2)),D)))).
% 114.76/113.56  all Aa E_2 C Ba D (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Aa),E_2)),C)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Ba),E_2)),D)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Ba),Aa)),E_2)),D)))).
% 114.76/113.56  all Aa E_2 C Ba D (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Aa),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,Ba),E_2)),D)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Ba),Aa)),E_2)),D)))).
% 114.76/113.56  all V_25 W_17 C_86 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_int_rat(number_number_of_rat,V_25)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,hAPP_int_rat(number_number_of_rat,W_17)),C_86))=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_25),W_17))),C_86)).
% 114.76/113.56  all V_25 W_17 C_86 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_int_complex(number528085621omplex,V_25)),hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,hAPP_int_complex(number528085621omplex,W_17)),C_86))=hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,hAPP_int_complex(number528085621omplex,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_25),W_17))),C_86)).
% 114.76/113.57  all V_25 W_17 C_86 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_int_real(number267125858f_real,V_25)),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_int_real(number267125858f_real,W_17)),C_86))=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_25),W_17))),C_86)).
% 114.76/113.57  all V_25 W_17 C_86 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(number_number_of_int,V_25)),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(number_number_of_int,W_17)),C_86))=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_25),W_17))),C_86)).
% 114.76/113.57  all R_4 X_1 Y_2 (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(in_rel512175208t_bool(R_4),X_1),Y_2))<->hBOOL(hAPP_f1469637905l_bool(hAPP_P1681069257l_bool(member308914164t_bool,hAPP_f538843494t_bool(hAPP_f1418982953t_bool(produc713279741t_bool,X_1),Y_2)),R_4))).
% 114.76/113.57  all R_4 X_1 Y_2 (hBOOL(hAPP_P603027463t_bool(hAPP_P989584703t_bool(in_rel682537726nt_int(R_4),X_1),Y_2))<->hBOOL(hAPP_f526364711l_bool(hAPP_P1062890741l_bool(member2143287562nt_int,hAPP_P230595783nt_int(hAPP_P941956607nt_int(produc883642259nt_int,X_1),Y_2)),R_4))).
% 114.76/113.57  all R_4 X_1 Y_2 (hBOOL(hAPP_P1555980039t_bool(hAPP_P705731903t_bool(in_rel293241086at_nat(R_4),X_1),Y_2))<->hBOOL(hAPP_f115998247l_bool(hAPP_P1876494581l_bool(member180897546at_nat,hAPP_P369611207at_nat(hAPP_P402336767at_nat(produc494345619at_nat,X_1),Y_2)),R_4))).
% 114.76/113.57  all R_4 X_1 Y_2 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(in_rel1707483778de_int(R_4),X_1),Y_2))<->hBOOL(hAPP_f222989233l_bool(hAPP_P1879777545l_bool(member2092545300de_int,hAPP_Q1256397320de_int(hAPP_Q952608535de_int(produc1318306967de_int,X_1),Y_2)),R_4))).
% 114.76/113.57  all R_4 X_1 Y_2 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(in_rel1251239042umeral(R_4),X_1),Y_2))<->hBOOL(hAPP_f251496625l_bool(hAPP_P2045320969l_bool(member1246959636umeral,hAPP_C2132160860umeral(hAPP_C1614127039umeral(produc2136830103umeral,X_1),Y_2)),R_4))).
% 114.76/113.57  all R_4 X_1 Y_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(in_rel_real_real(R_4),X_1),Y_2))<->hBOOL(hAPP_f46817975l_bool(hAPP_P1946311189l_bool(member1344826522l_real,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,X_1),Y_2)),R_4))).
% 114.76/113.57  all R_4 X_1 Y_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(in_rel_nat_nat(R_4),X_1),Y_2))<->hBOOL(hAPP_f879361201l_bool(hAPP_P1251024649l_bool(member232255508at_nat,hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,X_1),Y_2)),R_4))).
% 114.76/113.57  all R_4 X_1 Y_2 (hBOOL(hAPP_P603027463t_bool(hAPP_i119638232t_bool(in_rel1239871883nt_int(R_4),X_1),Y_2))<->hBOOL(hAPP_f928428050l_bool(hAPP_P2074576781l_bool(member791087631nt_int,hAPP_P408881810nt_int(hAPP_i1730167831nt_int(produc282740534nt_int,X_1),Y_2)),R_4))).
% 114.76/113.57  all R_4 X_1 Y_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(in_rel_int_int(R_4),X_1),Y_2))<->hBOOL(hAPP_f851219889l_bool(hAPP_P1268961545l_bool(member1747683604nt_int,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,X_1),Y_2)),R_4))).
% 114.76/113.57  all F Aa Ba (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(produc1775888740l_bool(F),Aa),Ba))->hBOOL(hAPP_P880235623l_bool(F,hAPP_f538843494t_bool(hAPP_f1418982953t_bool(produc713279741t_bool,Aa),Ba)))).
% 114.76/113.57  all F Aa Ba (hBOOL(hAPP_P603027463t_bool(hAPP_P989584703t_bool(produc353512698t_bool(F),Aa),Ba))->hBOOL(hAPP_P62333565t_bool(F,hAPP_P230595783nt_int(hAPP_P941956607nt_int(produc883642259nt_int,Aa),Ba)))).
% 114.76/113.57  all F Aa Ba (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(produc2013771390t_bool(F),Aa),Ba))->hBOOL(hAPP_P1709355527t_bool(F,hAPP_Q1256397320de_int(hAPP_Q952608535de_int(produc1318306967de_int,Aa),Ba)))).
% 114.76/113.57  all F Aa Ba (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(produc609372286l_bool(F),Aa),Ba))->hBOOL(hAPP_P1164677895l_bool(F,hAPP_C2132160860umeral(hAPP_C1614127039umeral(produc2136830103umeral,Aa),Ba)))).
% 114.76/113.57  all F Aa Ba (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(produc748992778l_bool(F),Aa),Ba))->hBOOL(hAPP_P1333854989l_bool(F,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,Aa),Ba)))).
% 114.76/113.57  all F Aa Ba (hBOOL(hAPP_P1555980039t_bool(hAPP_P705731903t_bool(produc1319041786t_bool(F),Aa),Ba))->hBOOL(hAPP_P1463840893t_bool(F,hAPP_P369611207at_nat(hAPP_P402336767at_nat(produc494345619at_nat,Aa),Ba)))).
% 114.76/113.57  all F Aa Ba (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(produc2091540094t_bool(F),Aa),Ba))->hBOOL(hAPP_P1555980039t_bool(F,hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,Aa),Ba)))).
% 114.76/113.57  all F Aa Ba (hBOOL(hAPP_P603027463t_bool(hAPP_i119638232t_bool(produc97574839t_bool(F),Aa),Ba))->hBOOL(hAPP_P178748804t_bool(F,hAPP_P408881810nt_int(hAPP_i1730167831nt_int(produc282740534nt_int,Aa),Ba)))).
% 114.76/113.57  all F Aa Ba (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(produc262399358t_bool(F),Aa),Ba))->hBOOL(hAPP_P603027463t_bool(F,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Aa),Ba)))).
% 114.76/113.57  all X_1 (one_one_rat=X_1<->X_1=one_one_rat).
% 114.76/113.57  all X_1 (one_on1684967323de_int=X_1<->X_1=one_on1684967323de_int).
% 114.76/113.57  all X_1 (one_one_complex=X_1<->X_1=one_one_complex).
% 114.76/113.57  all X_1 (one_on1645066479umeral=X_1<->X_1=one_on1645066479umeral).
% 114.76/113.57  all X_1 (one_one_nat=X_1<->X_1=one_one_nat).
% 114.76/113.57  all X_1 (one_one_real=X_1<->X_1=one_one_real).
% 114.76/113.57  all X_1 (one_one_int=X_1<->X_1=one_one_int).
% 114.76/113.57  all W_1 Z_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Z_2),one_one_int)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,W_1),Z_2))).
% 114.76/113.57  all W_1 X_1 (hAPP_int_rat(number_number_of_rat,W_1)=X_1<->X_1=hAPP_int_rat(number_number_of_rat,W_1)).
% 114.76/113.57  all W_1 X_1 (hAPP_i1732201573de_int(number1226105091de_int,W_1)=X_1<->X_1=hAPP_i1732201573de_int(number1226105091de_int,W_1)).
% 114.76/113.57  all W_1 X_1 (hAPP_int_complex(number528085621omplex,W_1)=X_1<->X_1=hAPP_int_complex(number528085621omplex,W_1)).
% 114.76/113.57  all W_1 X_1 (hAPP_i769753017umeral(number1443263063umeral,W_1)=X_1<->X_1=hAPP_i769753017umeral(number1443263063umeral,W_1)).
% 114.76/113.57  all W_1 X_1 (hAPP_int_nat(number_number_of_nat,W_1)=X_1<->X_1=hAPP_int_nat(number_number_of_nat,W_1)).
% 114.76/113.57  all W_1 X_1 (hAPP_int_real(number267125858f_real,W_1)=X_1<->X_1=hAPP_int_real(number267125858f_real,W_1)).
% 114.76/113.57  all W_1 X_1 (hAPP_int_int(number_number_of_int,W_1)=X_1<->X_1=hAPP_int_int(number_number_of_int,W_1)).
% 114.76/113.57  all V W_1 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_int_rat(number_number_of_rat,V)),hAPP_int_rat(number_number_of_rat,W_1)))<-> -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_int_rat(number_number_of_rat,W_1)),hAPP_int_rat(number_number_of_rat,V)))).
% 114.76/113.57  all V W_1 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_i1732201573de_int(number1226105091de_int,V)),hAPP_i1732201573de_int(number1226105091de_int,W_1)))<-> -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_i1732201573de_int(number1226105091de_int,W_1)),hAPP_i1732201573de_int(number1226105091de_int,V)))).
% 114.76/113.57  all V W_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_int_nat(number_number_of_nat,V)),hAPP_int_nat(number_number_of_nat,W_1)))<-> -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_int_nat(number_number_of_nat,W_1)),hAPP_int_nat(number_number_of_nat,V)))).
% 114.76/113.57  all V W_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(number267125858f_real,V)),hAPP_int_real(number267125858f_real,W_1)))<-> -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(number267125858f_real,W_1)),hAPP_int_real(number267125858f_real,V)))).
% 114.76/113.57  all V W_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(number_number_of_int,V)),hAPP_int_int(number_number_of_int,W_1)))<-> -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,W_1)),hAPP_int_int(number_number_of_int,V)))).
% 114.76/113.57  all V W_1 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,hAPP_i769753017umeral(number1443263063umeral,V)),hAPP_i769753017umeral(number1443263063umeral,W_1)))<-> -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_i769753017umeral(number1443263063umeral,W_1)),hAPP_i769753017umeral(number1443263063umeral,V)))).
% 114.76/113.57  all X_1 Y_2 (hAPP_int_rat(number_number_of_rat,X_1)=hAPP_int_rat(number_number_of_rat,Y_2)<->X_1=Y_2).
% 114.76/113.57  all X_1 Y_2 (hAPP_int_complex(number528085621omplex,X_1)=hAPP_int_complex(number528085621omplex,Y_2)<->X_1=Y_2).
% 114.76/113.57  all X_1 Y_2 (hAPP_int_real(number267125858f_real,X_1)=hAPP_int_real(number267125858f_real,Y_2)<->X_1=Y_2).
% 114.76/113.57  all X_1 Y_2 (hAPP_int_int(number_number_of_int,X_1)=hAPP_int_int(number_number_of_int,Y_2)<->X_1=Y_2).
% 114.76/113.57  all X_1 Y_2 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_int_rat(number_number_of_rat,X_1)),hAPP_int_rat(number_number_of_rat,Y_2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_2))).
% 114.76/113.57  all X_1 Y_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(number267125858f_real,X_1)),hAPP_int_real(number267125858f_real,Y_2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_2))).
% 114.76/113.57  all X_1 Y_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,X_1)),hAPP_int_int(number_number_of_int,Y_2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_2))).
% 114.76/113.57  all X_1 Y_2 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_int_rat(number_number_of_rat,X_1)),hAPP_int_rat(number_number_of_rat,Y_2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_2))).
% 114.76/113.57  all X_1 Y_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(number267125858f_real,X_1)),hAPP_int_real(number267125858f_real,Y_2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_2))).
% 114.76/113.57  all X_1 Y_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(number_number_of_int,X_1)),hAPP_int_int(number_number_of_int,Y_2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_2))).
% 114.76/113.57  all W_1 Z_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,W_1),one_one_int)),Z_2))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),Z_2))).
% 114.76/113.57  all X_70 Y_56 (X_70!=Y_56-> (-hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_70),Y_56))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Y_56),X_70)))).
% 114.76/113.57  all X_70 Y_56 (X_70!=Y_56-> (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_70),Y_56))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_56),X_70)))).
% 114.76/113.57  all X_70 Y_56 (X_70!=Y_56-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_70),Y_56))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_56),X_70)))).
% 114.76/113.57  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))).
% 114.76/113.57  all X_69 Y_55 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_69),Y_55))-> (X_69!=Y_55->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_69),Y_55)))).
% 114.76/113.57  all X_1 Y_2 (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,X_1),Y_2))-> (X_1!=Y_2->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,X_1),Y_2)))).
% 114.76/113.57  all X_1 Y_2 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_1),Y_2))-> (X_1!=Y_2->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X_1),Y_2)))).
% 114.76/113.57  all X_69 Y_55 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,X_69),Y_55))-> (X_69!=Y_55->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_69),Y_55)))).
% 114.76/113.57  all X_69 Y_55 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_69),Y_55))-> (X_69!=Y_55->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_69),Y_55)))).
% 114.76/113.57  all X_69 Y_55 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_69),Y_55))-> (X_69!=Y_55->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_69),Y_55)))).
% 114.76/113.57  all X_69 Y_55 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_69),Y_55))-> (X_69!=Y_55->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_69),Y_55)))).
% 114.76/113.57  all W_1 Z_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,W_1),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Z_2),one_one_int)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),Z_2))).
% 114.76/113.57  all N_8 M_10 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,one_one_rat),M_10))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,one_one_rat),N_8))->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_10),N_8))))).
% 114.76/113.57  all N_8 M_10 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,one_on1684967323de_int),M_10))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,one_on1684967323de_int),N_8))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,one_on1684967323de_int),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,M_10),N_8))))).
% 114.76/113.57  all N_8 M_10 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,one_on1645066479umeral),M_10))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,one_on1645066479umeral),N_8))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,one_on1645066479umeral),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,M_10),N_8))))).
% 114.76/113.57  all N_8 M_10 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),M_10))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),N_8))->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_10),N_8))))).
% 114.76/113.57  all N_8 M_10 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),M_10))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),N_8))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,M_10),N_8))))).
% 114.76/113.57  all N_8 M_10 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),M_10))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),N_8))->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_10),N_8))))).
% 114.76/113.57  all A_220 hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_220),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_220),one_one_rat))).
% 114.76/113.57  all A_220 hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_220),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_220),one_on1684967323de_int))).
% 114.76/113.57  all A_220 hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,A_220),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_220),one_on1645066479umeral))).
% 114.76/113.57  all A_220 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_220),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_220),one_one_nat))).
% 114.76/113.57  all A_220 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_220),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_220),one_one_real))).
% 114.76/113.57  all A_220 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_220),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_220),one_one_int))).
% 114.76/113.57  all C_85 D_17 A_219 B_168 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_219),B_168))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,C_85),D_17))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_219),C_85)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,B_168),D_17))))).
% 114.76/113.57  all C_85 D_17 A_219 B_168 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_219),B_168))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,C_85),D_17))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_219),C_85)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,B_168),D_17))))).
% 114.76/113.57  all C_85 D_17 A_219 B_168 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_219),B_168))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_85),D_17))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_219),C_85)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_168),D_17))))).
% 114.76/113.57  all C_85 D_17 A_219 B_168 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_219),B_168))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_85),D_17))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_219),C_85)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B_168),D_17))))).
% 114.76/113.57  all C_85 D_17 A_219 B_168 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_219),B_168))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_85),D_17))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_219),C_85)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_168),D_17))))).
% 114.76/113.57  all C_84 D_16 A_218 B_167 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_218),B_167))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,C_84),D_16))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_218),C_84)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,B_167),D_16))))).
% 114.76/113.57  all C_84 D_16 A_218 B_167 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_218),B_167))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,C_84),D_16))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_218),C_84)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,B_167),D_16))))).
% 114.76/113.57  all C_84 D_16 A_218 B_167 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_218),B_167))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_84),D_16))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_218),C_84)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_167),D_16))))).
% 114.76/113.57  all C_84 D_16 A_218 B_167 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_218),B_167))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_84),D_16))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_218),C_84)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B_167),D_16))))).
% 114.76/113.57  all C_84 D_16 A_218 B_167 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_218),B_167))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_84),D_16))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_218),C_84)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_167),D_16))))).
% 114.76/113.57  all Z_4 Z_1 W_16 W (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_16),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_16),Z_4)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,W),Z_1))))).
% 114.76/113.57  all W_1 Z_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Z_2),one_one_int)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),Z_2))|W_1=Z_2).
% 114.76/113.57  all Aa C Ba (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,Aa),C)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,Ba),C)))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Aa),Ba))).
% 114.76/113.57  all Aa C Ba (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,Aa),C)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,Ba),C)))<->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Aa),Ba))).
% 114.76/113.57  all Aa C Ba (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Aa),C)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Ba),C)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Aa),Ba))).
% 114.76/113.57  all Aa C Ba (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Aa),C)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Ba),C)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba))).
% 114.76/113.57  all Aa C Ba (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Aa),C)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Ba),C)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),Ba))).
% 114.76/113.57  all C Aa Ba (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C),Aa)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C),Ba)))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Aa),Ba))).
% 114.76/113.57  all C Aa Ba (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C),Aa)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C),Ba)))<->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Aa),Ba))).
% 114.76/113.57  all C Aa Ba (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C),Aa)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C),Ba)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Aa),Ba))).
% 114.76/113.57  all C Aa Ba (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C),Aa)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C),Ba)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba))).
% 114.76/113.57  all C Aa Ba (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C),Aa)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C),Ba)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),Ba))).
% 114.76/113.57  all C_83 A_217 B_166 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_217),B_166))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_217),C_83)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,B_166),C_83)))).
% 114.76/113.57  all C_83 A_217 B_166 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_217),B_166))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_217),C_83)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,B_166),C_83)))).
% 114.76/113.57  all C_83 A_217 B_166 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_217),B_166))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_217),C_83)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_166),C_83)))).
% 114.76/113.57  all C_83 A_217 B_166 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_217),B_166))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_217),C_83)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B_166),C_83)))).
% 114.76/113.57  all C_83 A_217 B_166 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_217),B_166))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_217),C_83)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_166),C_83)))).
% 114.76/113.57  all C_82 A_216 B_165 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_216),B_165))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C_82),A_216)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C_82),B_165)))).
% 114.76/113.57  all C_82 A_216 B_165 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_216),B_165))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C_82),A_216)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C_82),B_165)))).
% 114.76/113.57  all C_82 A_216 B_165 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_216),B_165))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_82),A_216)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_82),B_165)))).
% 114.76/113.57  all C_82 A_216 B_165 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_216),B_165))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C_82),A_216)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C_82),B_165)))).
% 114.76/113.57  all C_82 A_216 B_165 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_216),B_165))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_82),A_216)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_82),B_165)))).
% 114.76/113.57  all C_81 D_15 A_215 B_164 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_215),B_164))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,C_81),D_15))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_215),C_81)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,B_164),D_15))))).
% 114.76/113.57  all C_81 D_15 A_215 B_164 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_215),B_164))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,C_81),D_15))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_215),C_81)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,B_164),D_15))))).
% 114.76/113.57  all C_81 D_15 A_215 B_164 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_215),B_164))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_81),D_15))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_215),C_81)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_164),D_15))))).
% 114.76/113.57  all C_81 D_15 A_215 B_164 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_215),B_164))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_81),D_15))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_215),C_81)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B_164),D_15))))).
% 114.76/113.57  all C_81 D_15 A_215 B_164 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_215),B_164))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_81),D_15))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_215),C_81)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_164),D_15))))).
% 114.76/113.57  all A_214 C_80 B_163 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_214),C_80)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,B_163),C_80)))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_214),B_163))).
% 114.76/113.57  all A_214 C_80 B_163 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_214),C_80)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,B_163),C_80)))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_214),B_163))).
% 114.76/113.57  all A_214 C_80 B_163 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_214),C_80)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_163),C_80)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_214),B_163))).
% 114.76/113.57  all A_214 C_80 B_163 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_214),C_80)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B_163),C_80)))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_214),B_163))).
% 114.76/113.57  all A_214 C_80 B_163 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_214),C_80)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_163),C_80)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_214),B_163))).
% 114.76/113.57  all C_79 A_213 B_162 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C_79),A_213)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C_79),B_162)))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_213),B_162))).
% 114.76/113.57  all C_79 A_213 B_162 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C_79),A_213)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C_79),B_162)))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_213),B_162))).
% 114.76/113.57  all C_79 A_213 B_162 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_79),A_213)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_79),B_162)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_213),B_162))).
% 114.76/113.57  all C_79 A_213 B_162 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C_79),A_213)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C_79),B_162)))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_213),B_162))).
% 114.76/113.57  all C_79 A_213 B_162 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_79),A_213)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_79),B_162)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_213),B_162))).
% 114.76/113.57  all A_212 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,one_one_rat),A_212)=A_212).
% 114.76/113.57  all A_212 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,one_on1684967323de_int),A_212)=A_212).
% 114.76/113.57  all A_212 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,one_one_complex),A_212)=A_212).
% 114.76/113.57  all A_212 (hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,one_on1645066479umeral),A_212)=A_212).
% 114.76/113.57  all A_212 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,one_one_nat),A_212)=A_212).
% 114.76/113.57  all A_212 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,one_one_real),A_212)=A_212).
% 114.76/113.57  all A_212 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,one_one_int),A_212)=A_212).
% 114.76/113.57  all A_211 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_211),one_one_rat)=A_211).
% 114.76/113.57  all A_211 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_211),one_on1684967323de_int)=A_211).
% 114.76/113.57  all A_211 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_211),one_one_complex)=A_211).
% 114.76/113.57  all A_211 (hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_211),one_on1645066479umeral)=A_211).
% 114.76/113.57  all A_211 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_211),one_one_nat)=A_211).
% 114.76/113.57  all A_211 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_211),one_one_real)=A_211).
% 114.76/113.57  all A_211 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_211),one_one_int)=A_211).
% 114.76/113.57  all A_210 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,one_one_rat),A_210)=A_210).
% 114.76/113.57  all A_210 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,one_on1684967323de_int),A_210)=A_210).
% 114.76/113.57  all A_210 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,one_one_complex),A_210)=A_210).
% 114.76/113.57  all A_210 (hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,one_on1645066479umeral),A_210)=A_210).
% 114.76/113.57  all A_210 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,one_one_nat),A_210)=A_210).
% 114.76/113.57  all A_210 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,one_one_real),A_210)=A_210).
% 114.76/113.57  all A_210 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,one_one_int),A_210)=A_210).
% 114.76/113.57  all A_209 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,one_one_rat),A_209)=A_209).
% 114.76/113.57  all A_209 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,one_on1684967323de_int),A_209)=A_209).
% 114.76/113.57  all A_209 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,one_one_complex),A_209)=A_209).
% 114.76/113.57  all A_209 (hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,one_on1645066479umeral),A_209)=A_209).
% 114.76/113.57  all A_209 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,one_one_nat),A_209)=A_209).
% 114.76/113.57  all A_209 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,one_one_real),A_209)=A_209).
% 114.76/113.57  all A_209 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,one_one_int),A_209)=A_209).
% 114.76/113.57  all A_208 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_208),one_one_rat)=A_208).
% 114.76/113.57  all A_208 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_208),one_on1684967323de_int)=A_208).
% 114.76/113.57  all A_208 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_208),one_one_complex)=A_208).
% 114.76/113.57  all A_208 (hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_208),one_on1645066479umeral)=A_208).
% 114.76/113.57  all A_208 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_208),one_one_nat)=A_208).
% 114.76/113.57  all A_208 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_208),one_one_real)=A_208).
% 114.76/113.57  all A_208 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_208),one_one_int)=A_208).
% 114.76/113.57  all A_207 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_207),one_one_rat)=A_207).
% 114.76/113.57  all A_207 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_207),one_on1684967323de_int)=A_207).
% 114.76/113.57  all A_207 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_207),one_one_complex)=A_207).
% 114.76/113.57  all A_207 (hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_207),one_on1645066479umeral)=A_207).
% 114.76/113.57  all A_207 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_207),one_one_nat)=A_207).
% 114.76/113.57  all A_207 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_207),one_one_real)=A_207).
% 114.76/113.57  all A_207 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_207),one_one_int)=A_207).
% 114.76/113.57  all Aa Ba C D (hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,Aa),Ba)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,C),D)-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Aa),Ba))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,C),D)))).
% 114.76/113.57  all Aa Ba C D (hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Aa),Ba)=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,C),D)-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C),D)))).
% 114.76/113.57  all Aa Ba C D (hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Aa),Ba)=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,C),D)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),Ba))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),D)))).
% 114.76/113.57  all Aa C Ba (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,Aa),C)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,Ba),C)))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Aa),Ba))).
% 114.76/113.57  all Aa C Ba (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,Aa),C)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,Ba),C)))<->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,Aa),Ba))).
% 114.76/113.57  all Aa C Ba (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Aa),C)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Ba),C)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Aa),Ba))).
% 114.76/113.57  all Aa C Ba (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Aa),C)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Ba),C)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba))).
% 114.76/113.57  all Aa C Ba (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Aa),C)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Ba),C)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),Ba))).
% 114.76/113.57  all C Aa Ba (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C),Aa)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C),Ba)))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Aa),Ba))).
% 114.76/113.57  all C Aa Ba (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C),Aa)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C),Ba)))<->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,Aa),Ba))).
% 114.76/113.57  all C Aa Ba (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C),Aa)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C),Ba)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Aa),Ba))).
% 114.76/113.57  all C Aa Ba (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C),Aa)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C),Ba)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba))).
% 114.76/113.57  all C Aa Ba (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C),Aa)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C),Ba)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),Ba))).
% 114.76/113.57  all C_78 A_206 B_161 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_206),B_161))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_206),C_78)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,B_161),C_78)))).
% 114.76/113.57  all C_78 A_206 B_161 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_206),B_161))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_206),C_78)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,B_161),C_78)))).
% 114.76/113.57  all C_78 A_206 B_161 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_206),B_161))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_206),C_78)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_161),C_78)))).
% 114.76/113.57  all C_78 A_206 B_161 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_206),B_161))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_206),C_78)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B_161),C_78)))).
% 114.76/113.57  all C_78 A_206 B_161 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_206),B_161))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_206),C_78)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_161),C_78)))).
% 114.76/113.57  all C_77 A_205 B_160 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_205),B_160))->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_205)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C_77),B_160)))).
% 114.76/113.57  all C_77 A_205 B_160 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_205),B_160))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C_77),A_205)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C_77),B_160)))).
% 114.76/113.57  all C_77 A_205 B_160 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_205),B_160))->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_205)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_77),B_160)))).
% 114.76/113.57  all C_77 A_205 B_160 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_205),B_160))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C_77),A_205)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C_77),B_160)))).
% 114.76/113.57  all C_77 A_205 B_160 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_205),B_160))->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_205)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_77),B_160)))).
% 114.76/113.57  all C_76 D_14 A_204 B_159 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_204),B_159))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,C_76),D_14))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_204),C_76)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,B_159),D_14))))).
% 114.76/113.57  all C_76 D_14 A_204 B_159 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_204),B_159))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,C_76),D_14))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_204),C_76)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,B_159),D_14))))).
% 114.76/113.57  all C_76 D_14 A_204 B_159 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_204),B_159))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_76),D_14))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_204),C_76)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_159),D_14))))).
% 114.76/113.57  all C_76 D_14 A_204 B_159 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_204),B_159))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_76),D_14))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_204),C_76)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B_159),D_14))))).
% 114.76/113.57  all C_76 D_14 A_204 B_159 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_204),B_159))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_76),D_14))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_204),C_76)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_159),D_14))))).
% 114.76/113.57  all A_203 C_75 B_158 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_203),C_75)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,B_158),C_75)))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_203),B_158))).
% 114.76/113.57  all A_203 C_75 B_158 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_203),C_75)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,B_158),C_75)))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_203),B_158))).
% 114.76/113.57  all A_203 C_75 B_158 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_203),C_75)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_158),C_75)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_203),B_158))).
% 114.76/113.57  all A_203 C_75 B_158 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_203),C_75)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B_158),C_75)))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_203),B_158))).
% 114.76/113.57  all A_203 C_75 B_158 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_203),C_75)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_158),C_75)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_203),B_158))).
% 114.76/113.57  all C_74 A_202 B_157 (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_202)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C_74),B_157)))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_202),B_157))).
% 114.76/113.57  all C_74 A_202 B_157 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C_74),A_202)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C_74),B_157)))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_202),B_157))).
% 114.76/113.57  all C_74 A_202 B_157 (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_202)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_74),B_157)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_202),B_157))).
% 114.76/113.57  all C_74 A_202 B_157 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C_74),A_202)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C_74),B_157)))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_202),B_157))).
% 114.76/113.57  all C_74 A_202 B_157 (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_202)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_74),B_157)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_202),B_157))).
% 114.76/113.57  all Aa Ba C D (hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,Aa),Ba)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,C),D)-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Aa),Ba))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,C),D)))).
% 114.76/113.57  all Aa Ba C D (hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Aa),Ba)=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,C),D)-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C),D)))).
% 114.76/113.57  all Aa Ba C D (hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Aa),Ba)=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,C),D)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),Ba))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C),D)))).
% 114.76/113.57  all V_2 W (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,V_2)),hAPP_int_int(number_number_of_int,W))=hAPP_int_int(number_number_of_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,V_2),W))).
% 114.76/113.57  all V_2 W (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(number_number_of_int,V_2)),hAPP_int_int(number_number_of_int,W))=hAPP_int_int(number_number_of_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_2),W))).
% 114.76/113.57  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)))).
% 114.76/113.57  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)))).
% 114.76/113.57  all Z_1 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,one_one_int),Z_1)=Z_1).
% 114.76/113.57  all Z_1 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Z_1),one_one_int)=Z_1).
% 114.76/113.57  all V_24 B_156 C_73 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_int_rat(number_number_of_rat,V_24)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,B_156),C_73))=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_24)),B_156)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_int_rat(number_number_of_rat,V_24)),C_73))).
% 114.76/113.57  all V_24 B_156 C_73 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_i1732201573de_int(number1226105091de_int,V_24)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,B_156),C_73))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_i1732201573de_int(number1226105091de_int,V_24)),B_156)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_i1732201573de_int(number1226105091de_int,V_24)),C_73))).
% 114.76/113.57  all V_24 B_156 C_73 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_int_complex(number528085621omplex,V_24)),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,B_156),C_73))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_int_complex(number528085621omplex,V_24)),B_156)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_int_complex(number528085621omplex,V_24)),C_73))).
% 114.76/113.57  all V_24 B_156 C_73 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,V_24)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_156),C_73))=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_24)),B_156)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,V_24)),C_73))).
% 114.76/113.57  all V_24 B_156 C_73 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,V_24)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B_156),C_73))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,V_24)),B_156)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,V_24)),C_73))).
% 114.76/113.57  all V_24 B_156 C_73 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,V_24)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_156),C_73))=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_24)),B_156)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,V_24)),C_73))).
% 114.76/113.57  all V_24 B_156 C_73 (hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_i769753017umeral(number1443263063umeral,V_24)),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,B_156),C_73))=hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_i769753017umeral(number1443263063umeral,V_24)),B_156)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_i769753017umeral(number1443263063umeral,V_24)),C_73))).
% 114.76/113.57  all A_201 B_155 V_23 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_201),B_155)),hAPP_int_rat(number_number_of_rat,V_23))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_201),hAPP_int_rat(number_number_of_rat,V_23))),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_155),hAPP_int_rat(number_number_of_rat,V_23)))).
% 114.76/113.57  all A_201 B_155 V_23 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_201),B_155)),hAPP_i1732201573de_int(number1226105091de_int,V_23))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_201),hAPP_i1732201573de_int(number1226105091de_int,V_23))),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_155),hAPP_i1732201573de_int(number1226105091de_int,V_23)))).
% 114.76/113.57  all A_201 B_155 V_23 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_201),B_155)),hAPP_int_complex(number528085621omplex,V_23))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_201),hAPP_int_complex(number528085621omplex,V_23))),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,B_155),hAPP_int_complex(number528085621omplex,V_23)))).
% 114.76/113.57  all A_201 B_155 V_23 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_201),B_155)),hAPP_int_nat(number_number_of_nat,V_23))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_201),hAPP_int_nat(number_number_of_nat,V_23))),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_155),hAPP_int_nat(number_number_of_nat,V_23)))).
% 114.76/113.57  all A_201 B_155 V_23 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_201),B_155)),hAPP_int_real(number267125858f_real,V_23))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_201),hAPP_int_real(number267125858f_real,V_23))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_155),hAPP_int_real(number267125858f_real,V_23)))).
% 114.76/113.57  all A_201 B_155 V_23 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_201),B_155)),hAPP_int_int(number_number_of_int,V_23))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_201),hAPP_int_int(number_number_of_int,V_23))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_155),hAPP_int_int(number_number_of_int,V_23)))).
% 114.76/113.57  all A_201 B_155 V_23 (hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_201),B_155)),hAPP_i769753017umeral(number1443263063umeral,V_23))=hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_201),hAPP_i769753017umeral(number1443263063umeral,V_23))),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_155),hAPP_i769753017umeral(number1443263063umeral,V_23)))).
% 114.76/113.57  all V_22 B_154 C_72 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_int_rat(number_number_of_rat,V_22)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,B_154),C_72))=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_22)),B_154)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_int_rat(number_number_of_rat,V_22)),C_72))).
% 114.76/113.57  all V_22 B_154 C_72 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_int_complex(number528085621omplex,V_22)),hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,B_154),C_72))=hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_int_complex(number528085621omplex,V_22)),B_154)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_int_complex(number528085621omplex,V_22)),C_72))).
% 114.76/113.57  all V_22 B_154 C_72 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,V_22)),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,B_154),C_72))=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,V_22)),B_154)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,V_22)),C_72))).
% 114.76/113.57  all V_22 B_154 C_72 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,V_22)),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,B_154),C_72))=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_22)),B_154)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,V_22)),C_72))).
% 114.76/113.57  all A_200 B_153 V_21 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,A_200),B_153)),hAPP_int_rat(number_number_of_rat,V_21))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_200),hAPP_int_rat(number_number_of_rat,V_21))),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_153),hAPP_int_rat(number_number_of_rat,V_21)))).
% 114.76/113.57  all A_200 B_153 V_21 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,A_200),B_153)),hAPP_int_complex(number528085621omplex,V_21))=hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_200),hAPP_int_complex(number528085621omplex,V_21))),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,B_153),hAPP_int_complex(number528085621omplex,V_21)))).
% 114.76/113.57  all A_200 B_153 V_21 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,A_200),B_153)),hAPP_int_real(number267125858f_real,V_21))=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_200),hAPP_int_real(number267125858f_real,V_21))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_153),hAPP_int_real(number267125858f_real,V_21)))).
% 114.76/113.57  all A_200 B_153 V_21 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_200),B_153)),hAPP_int_int(number_number_of_int,V_21))=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_200),hAPP_int_int(number_number_of_int,V_21))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_153),hAPP_int_int(number_number_of_int,V_21)))).
% 114.76/113.57  all V_20 W_15 (hAPP_int_rat(number_number_of_rat,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,V_20),W_15))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_int_rat(number_number_of_rat,V_20)),hAPP_int_rat(number_number_of_rat,W_15))).
% 114.76/113.57  all V_20 W_15 (hAPP_int_complex(number528085621omplex,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,V_20),W_15))=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_int_complex(number528085621omplex,V_20)),hAPP_int_complex(number528085621omplex,W_15))).
% 114.76/113.57  all V_20 W_15 (hAPP_int_real(number267125858f_real,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,V_20),W_15))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,V_20)),hAPP_int_real(number267125858f_real,W_15))).
% 114.76/113.57  all V_20 W_15 (hAPP_int_int(number_number_of_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,V_20),W_15))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,V_20)),hAPP_int_int(number_number_of_int,W_15))).
% 114.76/113.57  all V_19 W_14 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_int_rat(number_number_of_rat,V_19)),hAPP_int_rat(number_number_of_rat,W_14))=hAPP_int_rat(number_number_of_rat,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,V_19),W_14))).
% 114.76/113.57  all V_19 W_14 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_int_complex(number528085621omplex,V_19)),hAPP_int_complex(number528085621omplex,W_14))=hAPP_int_complex(number528085621omplex,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,V_19),W_14))).
% 114.76/113.57  all V_19 W_14 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,V_19)),hAPP_int_real(number267125858f_real,W_14))=hAPP_int_real(number267125858f_real,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,V_19),W_14))).
% 114.76/113.57  all V_19 W_14 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,V_19)),hAPP_int_int(number_number_of_int,W_14))=hAPP_int_int(number_number_of_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,V_19),W_14))).
% 114.76/113.57  all V_18 W_13 Z_21 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_int_rat(number_number_of_rat,V_18)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_int_rat(number_number_of_rat,W_13)),Z_21))=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_18),W_13))),Z_21)).
% 114.76/113.57  all V_18 W_13 Z_21 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_int_complex(number528085621omplex,V_18)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_int_complex(number528085621omplex,W_13)),Z_21))=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_int_complex(number528085621omplex,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,V_18),W_13))),Z_21)).
% 114.76/113.57  all V_18 W_13 Z_21 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,V_18)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,W_13)),Z_21))=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_18),W_13))),Z_21)).
% 114.76/113.57  all V_18 W_13 Z_21 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,V_18)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,W_13)),Z_21))=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_18),W_13))),Z_21)).
% 114.76/113.57  all V_17 W_12 (hAPP_int_rat(number_number_of_rat,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_17),W_12))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_int_rat(number_number_of_rat,V_17)),hAPP_int_rat(number_number_of_rat,W_12))).
% 114.76/113.57  all V_17 W_12 (hAPP_int_complex(number528085621omplex,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_17),W_12))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_int_complex(number528085621omplex,V_17)),hAPP_int_complex(number528085621omplex,W_12))).
% 114.76/113.57  all V_17 W_12 (hAPP_int_real(number267125858f_real,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_17),W_12))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_int_real(number267125858f_real,V_17)),hAPP_int_real(number267125858f_real,W_12))).
% 114.76/113.57  all V_17 W_12 (hAPP_int_int(number_number_of_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_17),W_12))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(number_number_of_int,V_17)),hAPP_int_int(number_number_of_int,W_12))).
% 114.76/113.57  all V_16 W_11 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_int_rat(number_number_of_rat,V_16)),hAPP_int_rat(number_number_of_rat,W_11))=hAPP_int_rat(number_number_of_rat,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_16),W_11))).
% 114.76/113.57  all V_16 W_11 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_int_complex(number528085621omplex,V_16)),hAPP_int_complex(number528085621omplex,W_11))=hAPP_int_complex(number528085621omplex,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_16),W_11))).
% 114.76/113.57  all V_16 W_11 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_int_real(number267125858f_real,V_16)),hAPP_int_real(number267125858f_real,W_11))=hAPP_int_real(number267125858f_real,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_16),W_11))).
% 114.76/113.57  all V_16 W_11 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(number_number_of_int,V_16)),hAPP_int_int(number_number_of_int,W_11))=hAPP_int_int(number_number_of_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_16),W_11))).
% 114.76/113.57  all V_15 W_10 Z_20 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_int_rat(number_number_of_rat,V_15)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_int_rat(number_number_of_rat,W_10)),Z_20))=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_15),W_10))),Z_20)).
% 114.76/113.57  all V_15 W_10 Z_20 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_int_complex(number528085621omplex,V_15)),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_int_complex(number528085621omplex,W_10)),Z_20))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_int_complex(number528085621omplex,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_15),W_10))),Z_20)).
% 114.76/113.57  all V_15 W_10 Z_20 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_int_real(number267125858f_real,V_15)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_int_real(number267125858f_real,W_10)),Z_20))=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_15),W_10))),Z_20)).
% 114.76/113.57  all V_15 W_10 Z_20 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(number_number_of_int,V_15)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(number_number_of_int,W_10)),Z_20))=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_15),W_10))),Z_20)).
% 114.76/113.57  all V_14 W_9 (hAPP_int_rat(number_number_of_rat,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,V_14),W_9))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,hAPP_int_rat(number_number_of_rat,V_14)),hAPP_int_rat(number_number_of_rat,W_9))).
% 114.76/113.57  all V_14 W_9 (hAPP_int_complex(number528085621omplex,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,V_14),W_9))=hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,hAPP_int_complex(number528085621omplex,V_14)),hAPP_int_complex(number528085621omplex,W_9))).
% 114.76/113.57  all V_14 W_9 (hAPP_int_real(number267125858f_real,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,V_14),W_9))=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_int_real(number267125858f_real,V_14)),hAPP_int_real(number267125858f_real,W_9))).
% 114.76/113.57  all V_14 W_9 (hAPP_int_int(number_number_of_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,V_14),W_9))=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(number_number_of_int,V_14)),hAPP_int_int(number_number_of_int,W_9))).
% 114.76/113.57  all M_9 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,M_9),M_9)=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_9)).
% 114.76/113.57  all M_9 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,M_9),M_9)=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_9)).
% 114.76/113.57  all M_9 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,M_9),M_9)=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,one_one_complex),one_one_complex)),M_9)).
% 114.76/113.57  all M_9 (hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,M_9),M_9)=hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,one_on1645066479umeral),one_on1645066479umeral)),M_9)).
% 114.76/113.57  all M_9 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_9),M_9)=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_9)).
% 114.76/113.57  all M_9 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,M_9),M_9)=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_9)).
% 114.76/113.57  all M_9 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,M_9),M_9)=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_9)).
% 114.76/113.57  all M_8 A_199 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,M_8),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_199),M_8))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_199),one_one_rat)),M_8)).
% 114.76/113.57  all M_8 A_199 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,M_8),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_199),M_8))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_199),one_on1684967323de_int)),M_8)).
% 114.76/113.57  all M_8 A_199 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,M_8),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_199),M_8))=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_199),one_one_complex)),M_8)).
% 114.76/113.57  all M_8 A_199 (hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,M_8),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_199),M_8))=hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_199),one_on1645066479umeral)),M_8)).
% 114.76/113.57  all M_8 A_199 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_8),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_199),M_8))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_199),one_one_nat)),M_8)).
% 114.76/113.57  all M_8 A_199 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,M_8),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_199),M_8))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_199),one_one_real)),M_8)).
% 114.76/113.57  all M_8 A_199 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,M_8),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_199),M_8))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_199),one_one_int)),M_8)).
% 114.76/113.57  all A_198 M_7 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_198),M_7)),M_7)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_198),one_one_rat)),M_7)).
% 114.76/113.57  all A_198 M_7 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_198),M_7)),M_7)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_198),one_on1684967323de_int)),M_7)).
% 114.76/113.57  all A_198 M_7 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_198),M_7)),M_7)=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_198),one_one_complex)),M_7)).
% 114.76/113.57  all A_198 M_7 (hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_198),M_7)),M_7)=hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_198),one_on1645066479umeral)),M_7)).
% 114.76/113.57  all A_198 M_7 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_198),M_7)),M_7)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_198),one_one_nat)),M_7)).
% 114.76/113.57  all A_198 M_7 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_198),M_7)),M_7)=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_198),one_one_real)),M_7)).
% 114.76/113.57  all A_198 M_7 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_198),M_7)),M_7)=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_198),one_one_int)),M_7)).
% 114.76/113.57  all F Aa Ba (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(produc1775888740l_bool(F),Aa),Ba))->hBOOL(hAPP_P880235623l_bool(F,hAPP_f538843494t_bool(hAPP_f1418982953t_bool(produc713279741t_bool,Aa),Ba)))).
% 114.76/113.57  all F Aa Ba (hBOOL(hAPP_P603027463t_bool(hAPP_P989584703t_bool(produc353512698t_bool(F),Aa),Ba))->hBOOL(hAPP_P62333565t_bool(F,hAPP_P230595783nt_int(hAPP_P941956607nt_int(produc883642259nt_int,Aa),Ba)))).
% 114.76/113.57  all F Aa Ba (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(produc2013771390t_bool(F),Aa),Ba))->hBOOL(hAPP_P1709355527t_bool(F,hAPP_Q1256397320de_int(hAPP_Q952608535de_int(produc1318306967de_int,Aa),Ba)))).
% 114.76/113.57  all F Aa Ba (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(produc609372286l_bool(F),Aa),Ba))->hBOOL(hAPP_P1164677895l_bool(F,hAPP_C2132160860umeral(hAPP_C1614127039umeral(produc2136830103umeral,Aa),Ba)))).
% 114.76/113.57  all F Aa Ba (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(produc748992778l_bool(F),Aa),Ba))->hBOOL(hAPP_P1333854989l_bool(F,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,Aa),Ba)))).
% 114.76/113.57  all F Aa Ba (hBOOL(hAPP_P1555980039t_bool(hAPP_P705731903t_bool(produc1319041786t_bool(F),Aa),Ba))->hBOOL(hAPP_P1463840893t_bool(F,hAPP_P369611207at_nat(hAPP_P402336767at_nat(produc494345619at_nat,Aa),Ba)))).
% 114.76/113.57  all F Aa Ba (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(produc2091540094t_bool(F),Aa),Ba))->hBOOL(hAPP_P1555980039t_bool(F,hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,Aa),Ba)))).
% 114.76/113.57  all F Aa Ba (hBOOL(hAPP_P603027463t_bool(hAPP_i119638232t_bool(produc97574839t_bool(F),Aa),Ba))->hBOOL(hAPP_P178748804t_bool(F,hAPP_P408881810nt_int(hAPP_i1730167831nt_int(produc282740534nt_int,Aa),Ba)))).
% 114.76/113.57  all F Aa Ba (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(produc262399358t_bool(F),Aa),Ba))->hBOOL(hAPP_P603027463t_bool(F,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Aa),Ba)))).
% 114.76/113.57  all X_68 hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_68),X_68)).
% 114.76/113.57  all X_1 hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,X_1),X_1)).
% 114.76/113.57  all X_1 hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_1),X_1)).
% 114.76/113.57  all X_68 hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,X_68),X_68)).
% 114.76/113.57  all X_68 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_68),X_68)).
% 114.76/113.57  all X_68 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_68),X_68)).
% 114.76/113.57  all X_68 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_68),X_68)).
% 114.76/113.57  all Z_19 Y_54 X_67 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Y_54),X_67))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Z_19),Y_54))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Z_19),X_67)))).
% 114.76/113.57  all Z_2 Y_2 X_1 (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Y_2),X_1))-> (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Z_2),Y_2))->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Z_2),X_1)))).
% 114.76/113.57  all Z_2 Y_2 X_1 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Y_2),X_1))-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Z_2),Y_2))->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Z_2),X_1)))).
% 114.76/113.57  all Z_19 Y_54 X_67 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,Y_54),X_67))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Z_19),Y_54))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Z_19),X_67)))).
% 114.76/113.57  all Z_19 Y_54 X_67 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_54),X_67))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Z_19),Y_54))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Z_19),X_67)))).
% 114.76/113.57  all Z_19 Y_54 X_67 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_54),X_67))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Z_19),Y_54))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Z_19),X_67)))).
% 114.76/113.57  all Z_19 Y_54 X_67 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_54),X_67))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_19),Y_54))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_19),X_67)))).
% 114.76/113.57  all Z_18 X_66 Y_53 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_66),Y_53))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Y_53),Z_18))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_66),Z_18)))).
% 114.76/113.57  all Z_2 X_1 Y_2 (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,X_1),Y_2))-> (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Y_2),Z_2))->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,X_1),Z_2)))).
% 114.76/113.57  all Z_2 X_1 Y_2 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_1),Y_2))-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Y_2),Z_2))->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X_1),Z_2)))).
% 114.76/113.57  all Z_18 X_66 Y_53 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,X_66),Y_53))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Y_53),Z_18))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_66),Z_18)))).
% 114.76/113.57  all Z_18 X_66 Y_53 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_66),Y_53))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_53),Z_18))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_66),Z_18)))).
% 114.76/113.57  all Z_18 X_66 Y_53 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_66),Y_53))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_53),Z_18))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_66),Z_18)))).
% 114.76/113.57  all Z_18 X_66 Y_53 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_66),Y_53))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_53),Z_18))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_66),Z_18)))).
% 114.76/113.57  all Z_17 Y_52 X_65 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Y_52),X_65))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Z_17),Y_52))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Z_17),X_65)))).
% 114.76/113.57  all Z_2 Y_2 X_1 (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Y_2),X_1))-> (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Z_2),Y_2))->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Z_2),X_1)))).
% 114.76/113.58  all Z_2 Y_2 X_1 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Y_2),X_1))-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Z_2),Y_2))->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Z_2),X_1)))).
% 114.76/113.58  all Z_17 Y_52 X_65 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Y_52),X_65))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,Z_17),Y_52))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Z_17),X_65)))).
% 114.76/113.58  all Z_17 Y_52 X_65 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_52),X_65))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Z_17),Y_52))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Z_17),X_65)))).
% 114.76/113.58  all Z_17 Y_52 X_65 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_52),X_65))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Z_17),Y_52))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Z_17),X_65)))).
% 114.76/113.58  all Z_17 Y_52 X_65 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_52),X_65))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z_17),Y_52))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_17),X_65)))).
% 114.76/113.58  all Z_16 X_64 Y_51 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_64),Y_51))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Y_51),Z_16))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_64),Z_16)))).
% 114.76/113.58  all Z_2 X_1 Y_2 (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,X_1),Y_2))-> (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Y_2),Z_2))->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,X_1),Z_2)))).
% 114.76/113.58  all Z_2 X_1 Y_2 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X_1),Y_2))-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Y_2),Z_2))->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X_1),Z_2)))).
% 114.76/113.58  all Z_16 X_64 Y_51 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_64),Y_51))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,Y_51),Z_16))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_64),Z_16)))).
% 114.76/113.58  all Z_16 X_64 Y_51 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_64),Y_51))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_51),Z_16))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_64),Z_16)))).
% 114.76/113.58  all Z_16 X_64 Y_51 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_64),Y_51))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_51),Z_16))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_64),Z_16)))).
% 114.76/113.58  all Z_16 X_64 Y_51 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_64),Y_51))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_51),Z_16))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_64),Z_16)))).
% 114.76/113.58  all B_152 A_197 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,B_152),A_197))-> (A_197!=B_152->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,B_152),A_197)))).
% 114.76/113.58  all Ba Aa (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Ba),Aa))-> (Aa!=Ba->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Ba),Aa)))).
% 114.76/113.58  all Ba Aa (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Ba),Aa))-> (Aa!=Ba->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Ba),Aa)))).
% 114.76/113.58  all B_152 A_197 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,B_152),A_197))-> (A_197!=B_152->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,B_152),A_197)))).
% 114.76/113.58  all B_152 A_197 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_152),A_197))-> (A_197!=B_152->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_152),A_197)))).
% 114.76/113.58  all B_152 A_197 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_152),A_197))-> (A_197!=B_152->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_152),A_197)))).
% 114.76/113.58  all B_152 A_197 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_152),A_197))-> (A_197!=B_152->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_152),A_197)))).
% 114.76/113.58  all A_196 B_151 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_196),B_151))-> (A_196!=B_151->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_196),B_151)))).
% 114.76/113.58  all Aa Ba (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Aa),Ba))-> (Aa!=Ba->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Aa),Ba)))).
% 114.76/113.58  all Aa Ba (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Aa),Ba))-> (Aa!=Ba->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Aa),Ba)))).
% 114.76/113.58  all A_196 B_151 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_196),B_151))-> (A_196!=B_151->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_196),B_151)))).
% 114.76/113.58  all A_196 B_151 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_196),B_151))-> (A_196!=B_151->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_196),B_151)))).
% 114.76/113.58  all A_196 B_151 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_196),B_151))-> (A_196!=B_151->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_196),B_151)))).
% 114.76/113.58  all A_196 B_151 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_196),B_151))-> (A_196!=B_151->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_196),B_151)))).
% 114.76/113.58  all X_63 Y_50 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_63),Y_50))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_63),Y_50))|X_63=Y_50).
% 114.76/113.58  all X_1 Y_2 (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,X_1),Y_2))->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,X_1),Y_2))|X_1=Y_2).
% 114.76/113.58  all X_1 Y_2 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_1),Y_2))->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X_1),Y_2))|X_1=Y_2).
% 114.76/113.58  all X_63 Y_50 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,X_63),Y_50))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_63),Y_50))|X_63=Y_50).
% 114.76/113.58  all X_63 Y_50 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_63),Y_50))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_63),Y_50))|X_63=Y_50).
% 114.76/113.58  all X_63 Y_50 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_63),Y_50))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_63),Y_50))|X_63=Y_50).
% 114.76/113.58  all X_63 Y_50 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_63),Y_50))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_63),Y_50))|X_63=Y_50).
% 114.76/113.58  all X_1 Y_2 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_1),Y_2))-> (-hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_1),Y_2))<->X_1=Y_2)).
% 114.76/113.58  all X_1 Y_2 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,X_1),Y_2))-> (-hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_1),Y_2))<->X_1=Y_2)).
% 114.76/113.58  all X_1 Y_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_2))-> (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_2))<->X_1=Y_2)).
% 114.76/113.58  all X_1 Y_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_2))-> (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_2))<->X_1=Y_2)).
% 114.76/113.58  all X_1 Y_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_2))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_2))<->X_1=Y_2)).
% 114.76/113.58  all X_62 Y_49 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_62),Y_49))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_62),Y_49))).
% 114.76/113.58  all X_1 Y_2 (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,X_1),Y_2))->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,X_1),Y_2))).
% 114.76/113.58  all X_1 Y_2 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X_1),Y_2))->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_1),Y_2))).
% 114.76/113.58  all X_62 Y_49 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_62),Y_49))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,X_62),Y_49))).
% 114.76/113.58  all X_62 Y_49 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_62),Y_49))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_62),Y_49))).
% 114.76/113.58  all X_62 Y_49 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_62),Y_49))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_62),Y_49))).
% 114.76/113.58  all X_62 Y_49 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_62),Y_49))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_62),Y_49))).
% 114.76/113.58  all Y_48 X_61 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Y_48),X_61))-> -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_61),Y_48))).
% 114.76/113.58  all Y_48 X_61 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,Y_48),X_61))-> -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_61),Y_48))).
% 114.76/113.58  all Y_48 X_61 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_48),X_61))-> -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_61),Y_48))).
% 114.76/113.58  all Y_48 X_61 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_48),X_61))-> -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_61),Y_48))).
% 114.76/113.58  all Y_48 X_61 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_48),X_61))-> -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_61),Y_48))).
% 114.76/113.58  all A_195 B_150 (A_195!=B_150-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,B_150),A_195))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,B_150),A_195)))).
% 114.76/113.58  all Aa Ba (Aa!=Ba-> (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Ba),Aa))->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Ba),Aa)))).
% 114.76/113.58  all Aa Ba (Aa!=Ba-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Ba),Aa))->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Ba),Aa)))).
% 114.76/113.58  all A_195 B_150 (A_195!=B_150-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,B_150),A_195))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,B_150),A_195)))).
% 114.76/113.58  all A_195 B_150 (A_195!=B_150-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_150),A_195))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_150),A_195)))).
% 114.76/113.58  all A_195 B_150 (A_195!=B_150-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_150),A_195))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_150),A_195)))).
% 114.76/113.58  all A_195 B_150 (A_195!=B_150-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_150),A_195))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_150),A_195)))).
% 114.76/113.58  all W hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,W),W)).
% 114.76/113.58  all K_2 (hAPP_int_int(number_number_of_int,K_2)=K_2).
% 114.76/113.58  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))).
% 114.76/113.58  all Z_2 W_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_2),W_1))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z_2),W_1))&Z_2!=W_1).
% 114.76/113.58  all X Y (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X),Y))|X=Y|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y),X))).
% 114.76/113.58  all K_1 L (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,K_1)),hAPP_int_int(number_number_of_int,L)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),L))).
% 114.76/113.58  all K_1 L (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(number_number_of_int,K_1)),hAPP_int_int(number_number_of_int,L)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),L))).
% 114.76/113.58  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)))).
% 114.76/113.58  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))->Z_1=W)).
% 114.76/113.58  all F G (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,F),G))<-> (all X_2 hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,hAPP_int_bool(F,X_2)),hAPP_int_bool(G,X_2))))).
% 114.76/113.58  all F G (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,F),G))<-> (all X_2 hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,hAPP_nat_bool(F,X_2)),hAPP_nat_bool(G,X_2))))).
% 114.76/113.58  all X_60 Y_47 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_60),Y_47))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Y_47),X_60))).
% 114.76/113.58  all X_60 Y_47 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,X_60),Y_47))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,Y_47),X_60))).
% 114.76/113.58  all X_60 Y_47 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_60),Y_47))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_47),X_60))).
% 114.76/113.58  all X_60 Y_47 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_60),Y_47))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_47),X_60))).
% 114.76/113.58  all X_60 Y_47 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_60),Y_47))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_47),X_60))).
% 114.76/113.58  all X_1 Y_2 (X_1=Y_2<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_1),Y_2))&hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Y_2),X_1))).
% 114.76/113.58  all X_1 Y_2 (X_1=Y_2<->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,X_1),Y_2))&hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Y_2),X_1))).
% 114.76/113.58  all X_1 Y_2 (X_1=Y_2<->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_1),Y_2))&hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Y_2),X_1))).
% 114.76/113.58  all X_1 Y_2 (X_1=Y_2<->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,X_1),Y_2))&hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,Y_2),X_1))).
% 114.76/113.58  all X_1 Y_2 (X_1=Y_2<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_2))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_2),X_1))).
% 114.76/113.58  all X_1 Y_2 (X_1=Y_2<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_2))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_2),X_1))).
% 114.76/113.58  all X_1 Y_2 (X_1=Y_2<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_2))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_2),X_1))).
% 114.76/113.58  all X_59 Y_46 (X_59=Y_46->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_59),Y_46))).
% 114.76/113.58  all X_1 Y_2 (X_1=Y_2->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,X_1),Y_2))).
% 114.76/113.58  all X_1 Y_2 (X_1=Y_2->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_1),Y_2))).
% 114.76/113.58  all X_59 Y_46 (X_59=Y_46->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,X_59),Y_46))).
% 114.76/113.58  all X_59 Y_46 (X_59=Y_46->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_59),Y_46))).
% 114.76/113.58  all X_59 Y_46 (X_59=Y_46->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_59),Y_46))).
% 114.76/113.58  all X_59 Y_46 (X_59=Y_46->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_59),Y_46))).
% 114.76/113.58  all X_1 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,X_1)),hAPP_int_bool(G,X_1)))).
% 114.76/113.58  all X_1 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,X_1)),hAPP_nat_bool(G,X_1)))).
% 114.76/113.58  all Y_2 X_1 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Y_2),X_1))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_1),Y_2))<->X_1=Y_2)).
% 114.76/113.58  all Y_2 X_1 (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Y_2),X_1))-> (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,X_1),Y_2))<->X_1=Y_2)).
% 114.76/113.58  all Y_2 X_1 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Y_2),X_1))-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_1),Y_2))<->X_1=Y_2)).
% 114.76/113.58  all Y_2 X_1 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,Y_2),X_1))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,X_1),Y_2))<->X_1=Y_2)).
% 114.76/113.58  all Y_2 X_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_2),X_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_2))<->X_1=Y_2)).
% 114.76/113.58  all Y_2 X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_2),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_2))<->X_1=Y_2)).
% 114.76/113.58  all Y_2 X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_2),X_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_2))<->X_1=Y_2)).
% 114.76/113.58  all C_71 A_194 B_149 (A_194=B_149-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,B_149),C_71))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_194),C_71)))).
% 114.76/113.58  all C Aa Ba (Aa=Ba-> (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Ba),C))->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Aa),C)))).
% 114.76/113.58  all C Aa Ba (Aa=Ba-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Ba),C))->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Aa),C)))).
% 114.76/113.58  all C_71 A_194 B_149 (A_194=B_149-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,B_149),C_71))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_194),C_71)))).
% 114.76/113.58  all C_71 A_194 B_149 (A_194=B_149-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_149),C_71))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_194),C_71)))).
% 114.76/113.58  all C_71 A_194 B_149 (A_194=B_149-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_149),C_71))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_194),C_71)))).
% 114.76/113.58  all C_71 A_194 B_149 (A_194=B_149-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_149),C_71))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_194),C_71)))).
% 114.76/113.58  all C_70 A_193 B_148 (A_193=B_148-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,C_70),B_148))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,C_70),A_193)))).
% 114.76/113.58  all C Aa Ba (Aa=Ba-> (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,C),Ba))->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,C),Aa)))).
% 114.76/113.58  all C Aa Ba (Aa=Ba-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,C),Ba))->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,C),Aa)))).
% 114.76/113.58  all C_70 A_193 B_148 (A_193=B_148-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,C_70),B_148))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,C_70),A_193)))).
% 114.76/113.58  all C_70 A_193 B_148 (A_193=B_148-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_70),B_148))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_70),A_193)))).
% 114.76/113.58  all C_70 A_193 B_148 (A_193=B_148-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_70),B_148))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_70),A_193)))).
% 114.76/113.58  all C_70 A_193 B_148 (A_193=B_148-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_70),B_148))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_70),A_193)))).
% 114.76/113.58  all C_69 A_192 B_147 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_192),B_147))-> (B_147=C_69->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_192),C_69)))).
% 114.76/113.58  all C Aa Ba (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Aa),Ba))-> (Ba=C->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Aa),C)))).
% 114.76/113.58  all C Aa Ba (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Aa),Ba))-> (Ba=C->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Aa),C)))).
% 114.76/113.58  all C_69 A_192 B_147 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_192),B_147))-> (B_147=C_69->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_192),C_69)))).
% 114.76/113.58  all C_69 A_192 B_147 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_192),B_147))-> (B_147=C_69->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_192),C_69)))).
% 114.76/113.58  all C_69 A_192 B_147 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_192),B_147))-> (B_147=C_69->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_192),C_69)))).
% 114.76/113.58  all C_69 A_192 B_147 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_192),B_147))-> (B_147=C_69->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_192),C_69)))).
% 114.76/113.58  all C_68 B_146 A_191 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,B_146),A_191))-> (B_146=C_68->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,C_68),A_191)))).
% 114.76/113.58  all C Ba Aa (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Ba),Aa))-> (Ba=C->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,C),Aa)))).
% 114.76/113.58  all C Ba Aa (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Ba),Aa))-> (Ba=C->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,C),Aa)))).
% 114.76/113.58  all C_68 B_146 A_191 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,B_146),A_191))-> (B_146=C_68->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,C_68),A_191)))).
% 114.76/113.58  all C_68 B_146 A_191 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_146),A_191))-> (B_146=C_68->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_68),A_191)))).
% 114.76/113.58  all C_68 B_146 A_191 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_146),A_191))-> (B_146=C_68->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_68),A_191)))).
% 114.76/113.58  all C_68 B_146 A_191 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_146),A_191))-> (B_146=C_68->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_68),A_191)))).
% 114.76/113.58  all X_58 Y_45 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_58),Y_45))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Y_45),X_58))->X_58=Y_45)).
% 114.76/113.58  all X_1 Y_2 (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,X_1),Y_2))-> (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Y_2),X_1))->X_1=Y_2)).
% 114.76/113.58  all X_1 Y_2 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_1),Y_2))-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Y_2),X_1))->X_1=Y_2)).
% 114.76/113.58  all X_58 Y_45 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,X_58),Y_45))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,Y_45),X_58))->X_58=Y_45)).
% 114.76/113.58  all X_58 Y_45 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_58),Y_45))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_45),X_58))->X_58=Y_45)).
% 114.76/113.58  all X_58 Y_45 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_58),Y_45))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_45),X_58))->X_58=Y_45)).
% 114.76/113.58  all X_58 Y_45 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_58),Y_45))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_45),X_58))->X_58=Y_45)).
% 114.76/113.58  all Z_15 X_57 Y_44 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_57),Y_44))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Y_44),Z_15))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_57),Z_15)))).
% 114.76/113.58  all Z_2 X_1 Y_2 (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,X_1),Y_2))-> (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Y_2),Z_2))->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,X_1),Z_2)))).
% 114.76/113.58  all Z_2 X_1 Y_2 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_1),Y_2))-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Y_2),Z_2))->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_1),Z_2)))).
% 114.76/113.58  all Z_15 X_57 Y_44 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,X_57),Y_44))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,Y_44),Z_15))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,X_57),Z_15)))).
% 114.76/113.58  all Z_15 X_57 Y_44 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_57),Y_44))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_44),Z_15))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_57),Z_15)))).
% 114.76/113.58  all Z_15 X_57 Y_44 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_57),Y_44))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_44),Z_15))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_57),Z_15)))).
% 114.76/113.58  all Z_15 X_57 Y_44 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_57),Y_44))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_44),Z_15))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_57),Z_15)))).
% 114.76/113.58  all Y_43 X_56 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Y_43),X_56))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_56),Y_43))->X_56=Y_43)).
% 114.76/113.58  all Y_2 X_1 (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Y_2),X_1))-> (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,X_1),Y_2))->X_1=Y_2)).
% 114.76/113.58  all Y_2 X_1 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Y_2),X_1))-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_1),Y_2))->X_1=Y_2)).
% 114.76/113.58  all Y_43 X_56 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,Y_43),X_56))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,X_56),Y_43))->X_56=Y_43)).
% 114.76/113.58  all Y_43 X_56 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_43),X_56))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_56),Y_43))->X_56=Y_43)).
% 114.76/113.58  all Y_43 X_56 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_43),X_56))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_56),Y_43))->X_56=Y_43)).
% 114.76/113.58  all Y_43 X_56 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_43),X_56))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_56),Y_43))->X_56=Y_43)).
% 114.76/113.58  all Z_14 Y_42 X_55 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Y_42),X_55))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Z_14),Y_42))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Z_14),X_55)))).
% 114.76/113.58  all Z_2 Y_2 X_1 (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Y_2),X_1))-> (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Z_2),Y_2))->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Z_2),X_1)))).
% 114.76/113.58  all Z_2 Y_2 X_1 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Y_2),X_1))-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Z_2),Y_2))->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Z_2),X_1)))).
% 114.76/113.58  all Z_14 Y_42 X_55 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,Y_42),X_55))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,Z_14),Y_42))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,Z_14),X_55)))).
% 114.76/113.58  all Z_14 Y_42 X_55 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_42),X_55))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Z_14),Y_42))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Z_14),X_55)))).
% 114.76/113.58  all Z_14 Y_42 X_55 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_42),X_55))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Z_14),Y_42))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Z_14),X_55)))).
% 114.76/113.58  all Z_14 Y_42 X_55 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_42),X_55))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z_14),Y_42))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z_14),X_55)))).
% 114.76/113.58  all X_1 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,X_1)),hAPP_int_bool(G,X_1)))).
% 114.76/113.58  all X_1 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,X_1)),hAPP_nat_bool(G,X_1)))).
% 114.76/113.58  all X_54 Y_41 (-hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_54),Y_41))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Y_41),X_54))).
% 114.76/113.58  all X_54 Y_41 (-hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,X_54),Y_41))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,Y_41),X_54))).
% 114.76/113.58  all X_54 Y_41 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_54),Y_41))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_41),X_54))).
% 114.76/113.58  all X_54 Y_41 (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_54),Y_41))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_41),X_54))).
% 114.76/113.58  all X_54 Y_41 (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_54),Y_41))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_41),X_54))).
% 114.76/113.58  all X_53 (-hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_53),X_53))).
% 114.76/113.58  all X_1 (-hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,X_1),X_1))).
% 114.76/113.58  all X_1 (-hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X_1),X_1))).
% 114.76/113.58  all X_53 (-hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_53),X_53))).
% 114.76/113.58  all X_53 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_53),X_53))).
% 114.76/113.58  all X_53 (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_53),X_53))).
% 114.76/113.58  all X_53 (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_53),X_53))).
% 114.76/113.58  all X_1 Y_2 (X_1!=Y_2<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_1),Y_2))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Y_2),X_1))).
% 114.76/113.58  all X_1 Y_2 (X_1!=Y_2<->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_1),Y_2))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Y_2),X_1))).
% 114.76/113.58  all X_1 Y_2 (X_1!=Y_2<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_2),X_1))).
% 114.76/113.58  all X_1 Y_2 (X_1!=Y_2<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_2),X_1))).
% 114.76/113.58  all X_1 Y_2 (X_1!=Y_2<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_2))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_2),X_1))).
% 114.76/113.58  all X_1 Y_2 (-hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_1),Y_2))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Y_2),X_1))|X_1=Y_2).
% 114.76/113.58  all X_1 Y_2 (-hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_1),Y_2))<->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Y_2),X_1))|X_1=Y_2).
% 114.76/113.58  all X_1 Y_2 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_2))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_2),X_1))|X_1=Y_2).
% 114.76/113.58  all X_1 Y_2 (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_2))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_2),X_1))|X_1=Y_2).
% 114.76/113.58  all X_1 Y_2 (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_2))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_2),X_1))|X_1=Y_2).
% 114.76/113.58  all X_52 Y_40 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_52),Y_40))|X_52=Y_40|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Y_40),X_52))).
% 114.76/113.58  all X_52 Y_40 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_52),Y_40))|X_52=Y_40|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Y_40),X_52))).
% 114.76/113.58  all X_52 Y_40 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_52),Y_40))|X_52=Y_40|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_40),X_52))).
% 114.76/113.58  all X_52 Y_40 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_52),Y_40))|X_52=Y_40|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_40),X_52))).
% 114.76/113.58  all X_52 Y_40 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_52),Y_40))|X_52=Y_40|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_40),X_52))).
% 114.76/113.58  all Y_2 X_1 (-hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Y_2),X_1))-> (-hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_1),Y_2))<->X_1=Y_2)).
% 114.76/113.58  all Y_2 X_1 (-hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Y_2),X_1))-> (-hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_1),Y_2))<->X_1=Y_2)).
% 114.76/113.58  all Y_2 X_1 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_2),X_1))-> (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_2))<->X_1=Y_2)).
% 114.76/113.58  all Y_2 X_1 (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_2),X_1))-> (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_2))<->X_1=Y_2)).
% 114.76/113.58  all Y_2 X_1 (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_2),X_1))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_2))<->X_1=Y_2)).
% 114.76/113.58  all X_51 Y_39 (X_51!=Y_39-> (-hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_51),Y_39))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Y_39),X_51)))).
% 114.76/113.58  all X_51 Y_39 (X_51!=Y_39-> (-hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_51),Y_39))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Y_39),X_51)))).
% 114.76/113.58  all X_51 Y_39 (X_51!=Y_39-> (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_51),Y_39))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_39),X_51)))).
% 114.76/113.58  all X_51 Y_39 (X_51!=Y_39-> (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_51),Y_39))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_39),X_51)))).
% 114.76/113.58  all X_51 Y_39 (X_51!=Y_39-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_51),Y_39))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_39),X_51)))).
% 114.76/113.58  all X_50 Y_38 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_50),Y_38))->X_50!=Y_38).
% 114.76/113.58  all X_1 Y_2 (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,X_1),Y_2))->X_1!=Y_2).
% 114.76/113.58  all X_1 Y_2 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X_1),Y_2))->X_1!=Y_2).
% 114.76/113.58  all X_50 Y_38 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_50),Y_38))->X_50!=Y_38).
% 114.76/113.58  all X_50 Y_38 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_50),Y_38))->X_50!=Y_38).
% 114.76/113.58  all X_50 Y_38 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_50),Y_38))->X_50!=Y_38).
% 114.76/113.58  all X_50 Y_38 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_50),Y_38))->X_50!=Y_38).
% 114.76/113.58  all X_49 Y_37 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_49),Y_37))-> -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Y_37),X_49))).
% 114.76/113.58  all X_1 Y_2 (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,X_1),Y_2))-> -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Y_2),X_1))).
% 114.76/113.58  all X_1 Y_2 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X_1),Y_2))-> -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Y_2),X_1))).
% 114.76/113.58  all X_49 Y_37 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_49),Y_37))-> -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Y_37),X_49))).
% 114.76/113.58  all X_49 Y_37 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_49),Y_37))-> -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_37),X_49))).
% 114.76/113.58  all X_49 Y_37 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_49),Y_37))-> -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_37),X_49))).
% 114.76/113.58  all X_49 Y_37 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_49),Y_37))-> -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_37),X_49))).
% 114.76/113.58  all X_48 Y_36 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_48),Y_36))-> -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Y_36),X_48))).
% 114.76/113.58  all X_1 Y_2 (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,X_1),Y_2))-> -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Y_2),X_1))).
% 114.76/113.58  all X_1 Y_2 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X_1),Y_2))-> -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Y_2),X_1))).
% 114.76/113.58  all X_48 Y_36 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_48),Y_36))-> -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Y_36),X_48))).
% 114.76/113.58  all X_48 Y_36 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_48),Y_36))-> -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_36),X_48))).
% 114.76/113.58  all X_48 Y_36 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_48),Y_36))-> -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_36),X_48))).
% 114.76/113.58  all X_48 Y_36 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_48),Y_36))-> -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_36),X_48))).
% 114.76/113.58  all X_47 Y_35 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_47),Y_35))->X_47!=Y_35).
% 114.76/113.58  all X_1 Y_2 (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,X_1),Y_2))->X_1!=Y_2).
% 114.76/113.58  all X_1 Y_2 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X_1),Y_2))->X_1!=Y_2).
% 114.76/113.58  all X_47 Y_35 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_47),Y_35))->X_47!=Y_35).
% 114.76/113.58  all X_47 Y_35 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_47),Y_35))->X_47!=Y_35).
% 114.76/113.58  all X_47 Y_35 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_47),Y_35))->X_47!=Y_35).
% 114.76/113.58  all X_47 Y_35 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_47),Y_35))->X_47!=Y_35).
% 114.76/113.58  all X_46 Y_34 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_46),Y_34))->Y_34!=X_46).
% 114.76/113.58  all X_1 Y_2 (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,X_1),Y_2))->Y_2!=X_1).
% 114.76/113.58  all X_1 Y_2 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X_1),Y_2))->Y_2!=X_1).
% 114.76/113.58  all X_46 Y_34 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_46),Y_34))->Y_34!=X_46).
% 114.76/113.58  all X_46 Y_34 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_46),Y_34))->Y_34!=X_46).
% 114.76/113.58  all X_46 Y_34 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_46),Y_34))->Y_34!=X_46).
% 114.76/113.58  all X_46 Y_34 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_46),Y_34))->Y_34!=X_46).
% 114.76/113.58  all P_1 X_1 Y_2 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_1),Y_2))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Y_2),X_1))->hBOOL(P_1))).
% 114.76/113.58  all P_1 X_1 Y_2 (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,X_1),Y_2))-> (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Y_2),X_1))->hBOOL(P_1))).
% 114.76/113.58  all P_1 X_1 Y_2 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X_1),Y_2))-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Y_2),X_1))->hBOOL(P_1))).
% 114.76/113.58  all P_1 X_1 Y_2 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_1),Y_2))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Y_2),X_1))->hBOOL(P_1))).
% 114.76/113.58  all P_1 X_1 Y_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_2))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_2),X_1))->hBOOL(P_1))).
% 114.76/113.58  all P_1 X_1 Y_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_2))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_2),X_1))->hBOOL(P_1))).
% 114.76/113.58  all P_1 X_1 Y_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_2),X_1))->hBOOL(P_1))).
% 114.76/113.58  all A_190 B_145 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_190),B_145))-> -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,B_145),A_190))).
% 114.76/113.58  all Aa Ba (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Aa),Ba))-> -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Ba),Aa))).
% 114.76/113.58  all Aa Ba (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Aa),Ba))-> -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Ba),Aa))).
% 114.76/113.58  all A_190 B_145 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_190),B_145))-> -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,B_145),A_190))).
% 114.76/113.58  all A_190 B_145 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_190),B_145))-> -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_145),A_190))).
% 114.76/113.58  all A_190 B_145 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_190),B_145))-> -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_145),A_190))).
% 114.76/113.58  all A_190 B_145 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_190),B_145))-> -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_145),A_190))).
% 114.76/113.58  all B_144 A_189 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,B_144),A_189))-> -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_189),B_144))).
% 114.76/113.58  all Ba Aa (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Ba),Aa))-> -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Aa),Ba))).
% 114.76/113.58  all Ba Aa (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Ba),Aa))-> -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Aa),Ba))).
% 114.76/113.58  all B_144 A_189 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,B_144),A_189))-> -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_189),B_144))).
% 114.76/113.58  all B_144 A_189 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_144),A_189))-> -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_189),B_144))).
% 114.76/113.58  all B_144 A_189 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_144),A_189))-> -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_189),B_144))).
% 114.76/113.58  all B_144 A_189 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_144),A_189))-> -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_189),B_144))).
% 114.76/113.58  all C_67 A_188 B_143 (A_188=B_143-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,B_143),C_67))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_188),C_67)))).
% 114.76/113.58  all C Aa Ba (Aa=Ba-> (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Ba),C))->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Aa),C)))).
% 114.76/113.58  all C Aa Ba (Aa=Ba-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Ba),C))->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Aa),C)))).
% 114.76/113.58  all C_67 A_188 B_143 (A_188=B_143-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,B_143),C_67))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_188),C_67)))).
% 114.76/113.58  all C_67 A_188 B_143 (A_188=B_143-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_143),C_67))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_188),C_67)))).
% 114.76/113.58  all C_67 A_188 B_143 (A_188=B_143-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_143),C_67))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_188),C_67)))).
% 114.76/113.58  all C_67 A_188 B_143 (A_188=B_143-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_143),C_67))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_188),C_67)))).
% 114.76/113.58  all C_66 A_187 B_142 (A_187=B_142-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,C_66),B_142))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,C_66),A_187)))).
% 114.76/113.58  all C Aa Ba (Aa=Ba-> (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,C),Ba))->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,C),Aa)))).
% 114.76/113.58  all C Aa Ba (Aa=Ba-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,C),Ba))->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,C),Aa)))).
% 114.76/113.58  all C_66 A_187 B_142 (A_187=B_142-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,C_66),B_142))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,C_66),A_187)))).
% 114.76/113.58  all C_66 A_187 B_142 (A_187=B_142-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_66),B_142))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_66),A_187)))).
% 114.76/113.58  all C_66 A_187 B_142 (A_187=B_142-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_66),B_142))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_66),A_187)))).
% 114.76/113.58  all C_66 A_187 B_142 (A_187=B_142-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_66),B_142))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_66),A_187)))).
% 114.76/113.58  all C_65 A_186 B_141 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_186),B_141))-> (B_141=C_65->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_186),C_65)))).
% 114.76/113.58  all C Aa Ba (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Aa),Ba))-> (Ba=C->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Aa),C)))).
% 114.76/113.58  all C Aa Ba (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Aa),Ba))-> (Ba=C->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Aa),C)))).
% 114.76/113.58  all C_65 A_186 B_141 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_186),B_141))-> (B_141=C_65->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_186),C_65)))).
% 114.76/113.58  all C_65 A_186 B_141 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_186),B_141))-> (B_141=C_65->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_186),C_65)))).
% 114.76/113.58  all C_65 A_186 B_141 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_186),B_141))-> (B_141=C_65->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_186),C_65)))).
% 114.76/113.58  all C_65 A_186 B_141 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_186),B_141))-> (B_141=C_65->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_186),C_65)))).
% 114.76/113.58  all C_64 B_140 A_185 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,B_140),A_185))-> (B_140=C_64->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,C_64),A_185)))).
% 114.76/113.58  all C Ba Aa (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Ba),Aa))-> (Ba=C->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,C),Aa)))).
% 114.76/113.58  all C Ba Aa (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Ba),Aa))-> (Ba=C->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,C),Aa)))).
% 114.76/113.58  all C_64 B_140 A_185 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,B_140),A_185))-> (B_140=C_64->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,C_64),A_185)))).
% 114.76/113.58  all C_64 B_140 A_185 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_140),A_185))-> (B_140=C_64->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_64),A_185)))).
% 114.76/113.58  all C_64 B_140 A_185 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_140),A_185))-> (B_140=C_64->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_64),A_185)))).
% 114.76/113.58  all C_64 B_140 A_185 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_140),A_185))-> (B_140=C_64->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_64),A_185)))).
% 114.76/113.58  all Z_13 X_45 Y_33 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_45),Y_33))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Y_33),Z_13))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_45),Z_13)))).
% 114.76/113.58  all Z_2 X_1 Y_2 (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,X_1),Y_2))-> (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Y_2),Z_2))->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,X_1),Z_2)))).
% 114.76/113.58  all Z_2 X_1 Y_2 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X_1),Y_2))-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Y_2),Z_2))->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X_1),Z_2)))).
% 114.76/113.58  all Z_13 X_45 Y_33 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_45),Y_33))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Y_33),Z_13))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_45),Z_13)))).
% 114.76/113.58  all Z_13 X_45 Y_33 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_45),Y_33))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_33),Z_13))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_45),Z_13)))).
% 114.76/113.58  all Z_13 X_45 Y_33 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_45),Y_33))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_33),Z_13))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_45),Z_13)))).
% 114.76/113.58  all Z_13 X_45 Y_33 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_45),Y_33))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_33),Z_13))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_45),Z_13)))).
% 114.76/113.58  all Z_12 Y_32 X_44 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Y_32),X_44))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Z_12),Y_32))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Z_12),X_44)))).
% 114.76/113.58  all Z_2 Y_2 X_1 (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Y_2),X_1))-> (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Z_2),Y_2))->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Z_2),X_1)))).
% 114.76/113.58  all Z_2 Y_2 X_1 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Y_2),X_1))-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Z_2),Y_2))->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Z_2),X_1)))).
% 114.76/113.58  all Z_12 Y_32 X_44 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Y_32),X_44))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Z_12),Y_32))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Z_12),X_44)))).
% 114.76/113.58  all Z_12 Y_32 X_44 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_32),X_44))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Z_12),Y_32))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Z_12),X_44)))).
% 114.76/113.58  all Z_12 Y_32 X_44 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_32),X_44))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Z_12),Y_32))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Z_12),X_44)))).
% 114.76/113.59  all Z_12 Y_32 X_44 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_32),X_44))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_12),Y_32))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_12),X_44)))).
% 114.76/113.59  all X_43 Y_31 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_43),Y_31))-> -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Y_31),X_43))).
% 114.76/113.59  all X_1 Y_2 (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,X_1),Y_2))-> -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Y_2),X_1))).
% 114.76/113.59  all X_1 Y_2 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X_1),Y_2))-> -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Y_2),X_1))).
% 114.76/113.59  all X_43 Y_31 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_43),Y_31))-> -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Y_31),X_43))).
% 114.76/113.59  all X_43 Y_31 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_43),Y_31))-> -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_31),X_43))).
% 114.76/113.59  all X_43 Y_31 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_43),Y_31))-> -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_31),X_43))).
% 114.76/113.59  all X_43 Y_31 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_43),Y_31))-> -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_31),X_43))).
% 114.76/113.59  all X_42 Y_30 (-hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_42),Y_30))-> (X_42!=Y_30->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Y_30),X_42)))).
% 114.76/113.59  all X_42 Y_30 (-hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_42),Y_30))-> (X_42!=Y_30->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Y_30),X_42)))).
% 114.76/113.59  all X_42 Y_30 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_42),Y_30))-> (X_42!=Y_30->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_30),X_42)))).
% 114.76/113.59  all X_42 Y_30 (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_42),Y_30))-> (X_42!=Y_30->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_30),X_42)))).
% 114.76/113.59  all X_42 Y_30 (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_42),Y_30))-> (X_42!=Y_30->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_30),X_42)))).
% 114.76/113.59  all X_1 Y_2 (-hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_1),Y_2))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Y_2),X_1))).
% 114.76/113.59  all X_1 Y_2 (-hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_1),Y_2))<->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,Y_2),X_1))).
% 114.76/113.59  all X_1 Y_2 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_2))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_2),X_1))).
% 114.76/113.59  all X_1 Y_2 (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_2))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_2),X_1))).
% 114.76/113.59  all X_1 Y_2 (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_2))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_2),X_1))).
% 114.76/113.59  all X_1 Y_2 (-hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_1),Y_2))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Y_2),X_1))).
% 114.76/113.59  all X_1 Y_2 (-hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,X_1),Y_2))<->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Y_2),X_1))).
% 114.76/113.59  all X_1 Y_2 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_2))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_2),X_1))).
% 114.76/113.59  all X_1 Y_2 (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_2))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_2),X_1))).
% 114.76/113.59  all X_1 Y_2 (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_2))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_2),X_1))).
% 114.76/113.59  all X_41 Y_29 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_41),Y_29))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Y_29),X_41))).
% 114.76/113.59  all X_41 Y_29 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,X_41),Y_29))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Y_29),X_41))).
% 114.76/113.59  all X_41 Y_29 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_41),Y_29))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_29),X_41))).
% 114.76/113.59  all X_41 Y_29 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_41),Y_29))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_29),X_41))).
% 114.76/113.59  all X_41 Y_29 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_41),Y_29))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_29),X_41))).
% 114.76/113.59  all X_1 Y_2 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_1),Y_2))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_1),Y_2))&X_1!=Y_2).
% 114.76/113.59  all X_1 Y_2 (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,X_1),Y_2))<->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,X_1),Y_2))&X_1!=Y_2).
% 114.76/113.59  all X_1 Y_2 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X_1),Y_2))<->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_1),Y_2))&X_1!=Y_2).
% 114.76/113.59  all X_1 Y_2 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_1),Y_2))<->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,X_1),Y_2))&X_1!=Y_2).
% 114.76/113.59  all X_1 Y_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_2))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_2))&X_1!=Y_2).
% 114.76/113.59  all X_1 Y_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_2))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_2))&X_1!=Y_2).
% 114.76/113.59  all X_1 Y_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_2))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_2))&X_1!=Y_2).
% 114.76/113.59  all X_1 Y_2 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_1),Y_2))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_1),Y_2))& -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Y_2),X_1))).
% 114.76/113.59  all X_1 Y_2 (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,X_1),Y_2))<->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,X_1),Y_2))& -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Y_2),X_1))).
% 114.76/113.59  all X_1 Y_2 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X_1),Y_2))<->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_1),Y_2))& -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Y_2),X_1))).
% 114.76/113.59  all X_1 Y_2 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_1),Y_2))<->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,X_1),Y_2))& -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,Y_2),X_1))).
% 114.76/113.59  all X_1 Y_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_2))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_2))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_2),X_1))).
% 114.76/113.59  all X_1 Y_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_2))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_2))& -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_2),X_1))).
% 114.76/113.59  all X_1 Y_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_2))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_2))& -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_2),X_1))).
% 114.76/113.59  all X_1 Y_2 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_1),Y_2))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_1),Y_2))|X_1=Y_2).
% 114.76/113.59  all X_1 Y_2 (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,X_1),Y_2))<->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,X_1),Y_2))|X_1=Y_2).
% 114.76/113.59  all X_1 Y_2 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_1),Y_2))<->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X_1),Y_2))|X_1=Y_2).
% 114.76/113.59  all X_1 Y_2 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,X_1),Y_2))<->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_1),Y_2))|X_1=Y_2).
% 114.76/113.59  all X_1 Y_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_2))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_2))|X_1=Y_2).
% 114.76/113.59  all X_1 Y_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_2))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_2))|X_1=Y_2).
% 114.76/113.59  all X_1 Y_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_2))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_2))|X_1=Y_2).
% 114.76/113.59  all X_40 Y_28 (-hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_40),Y_28))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Y_28),X_40))).
% 114.76/113.59  all X_40 Y_28 (-hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_40),Y_28))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,Y_28),X_40))).
% 114.76/113.59  all X_40 Y_28 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_40),Y_28))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_28),X_40))).
% 114.76/113.59  all X_40 Y_28 (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_40),Y_28))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_28),X_40))).
% 114.76/113.59  all X_40 Y_28 (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_40),Y_28))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_28),X_40))).
% 114.76/113.59  all Y_27 X_39 (-hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Y_27),X_39))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_39),Y_27))).
% 114.76/113.59  all Y_27 X_39 (-hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,Y_27),X_39))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_39),Y_27))).
% 114.76/113.59  all Y_27 X_39 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_27),X_39))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_39),Y_27))).
% 114.76/113.59  all Y_27 X_39 (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_27),X_39))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_39),Y_27))).
% 114.76/113.59  all Y_27 X_39 (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_27),X_39))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_39),Y_27))).
% 114.76/113.59  all X_1 Y_2 (-hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_1),Y_2))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_1),Y_2))<->X_1=Y_2)).
% 114.76/113.59  all X_1 Y_2 (-hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_1),Y_2))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,X_1),Y_2))<->X_1=Y_2)).
% 114.76/113.59  all X_1 Y_2 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_2))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_2))<->X_1=Y_2)).
% 114.76/113.59  all X_1 Y_2 (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_2))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_2))<->X_1=Y_2)).
% 114.76/113.59  all X_1 Y_2 (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_2))<->X_1=Y_2)).
% 114.76/113.59  all A_184 B_139 (A_184!=B_139-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_184),B_139))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_184),B_139)))).
% 114.76/113.59  all Aa Ba (Aa!=Ba-> (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Aa),Ba))->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Aa),Ba)))).
% 114.76/113.59  all Aa Ba (Aa!=Ba-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Aa),Ba))->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Aa),Ba)))).
% 114.76/113.59  all A_184 B_139 (A_184!=B_139-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_184),B_139))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_184),B_139)))).
% 114.76/113.59  all A_184 B_139 (A_184!=B_139-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_184),B_139))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_184),B_139)))).
% 114.76/113.59  all A_184 B_139 (A_184!=B_139-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_184),B_139))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_184),B_139)))).
% 114.76/113.59  all A_184 B_139 (A_184!=B_139-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_184),B_139))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_184),B_139)))).
% 114.76/113.59  all A_2 B_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_2),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,B_1),one_one_int)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_2),B_1))).
% 114.76/113.59  all P_1 I_1 K_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,I_1),K_1))-> (hBOOL(hAPP_int_bool(P_1,K_1))-> ((all I_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,I_2),K_1))-> (hBOOL(hAPP_int_bool(P_1,I_2))->hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,I_2),one_one_int))))))->hBOOL(hAPP_int_bool(P_1,I_1))))).
% 114.76/113.59  all P_1 I_1 K_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,I_1),K_1))-> (hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,K_1),one_one_int)))-> ((all I_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,I_2),K_1))-> (hBOOL(hAPP_int_bool(P_1,I_2))->hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,I_2),one_one_int))))))->hBOOL(hAPP_int_bool(P_1,I_1))))).
% 114.76/113.59  all P_1 K_1 I_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),I_1))-> (hBOOL(hAPP_int_bool(P_1,K_1))-> ((all I_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),I_2))-> (hBOOL(hAPP_int_bool(P_1,I_2))->hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,I_2),one_one_int))))))->hBOOL(hAPP_int_bool(P_1,I_1))))).
% 114.76/113.59  all P_1 K_1 I_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),I_1))-> (hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K_1),one_one_int)))-> ((all I_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),I_2))-> (hBOOL(hAPP_int_bool(P_1,I_2))->hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,I_2),one_one_int))))))->hBOOL(hAPP_int_bool(P_1,I_1))))).
% 114.76/113.59  all Z_11 Y_26 ((all X_2 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_2),Y_26))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_2),Z_11))))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Y_26),Z_11))).
% 114.76/113.59  all Z_11 Y_26 ((all X_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_2),Y_26))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_2),Z_11))))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_26),Z_11))).
% 114.76/113.59  all Z_10 X_38 Y_25 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_38),Y_25))-> ((all W_8 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_38),W_8))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,W_8),Y_25))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,W_8),Z_10)))))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Y_25),Z_10)))).
% 114.76/113.59  all Z_10 X_38 Y_25 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_38),Y_25))-> ((all W_8 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_38),W_8))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,W_8),Y_25))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,W_8),Z_10)))))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_25),Z_10)))).
% 114.76/113.59  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))).
% 114.76/113.59  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))).
% 114.76/113.59  all F G ((all X_2 hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,hAPP_int_bool(F,X_2)),hAPP_int_bool(G,X_2))))->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,F),G))).
% 114.76/113.59  all F G ((all X_2 hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,hAPP_nat_bool(F,X_2)),hAPP_nat_bool(G,X_2))))->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,F),G))).
% 114.76/113.59  all I_1 P_1 K_1 (hBOOL(hAPP_int_bool(P_1,K_1))-> ((all I_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),I_2))-> (hBOOL(hAPP_int_bool(P_1,I_2))->hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,I_2),one_one_int))))))-> ((all I_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,I_2),K_1))-> (hBOOL(hAPP_int_bool(P_1,I_2))->hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,I_2),one_one_int))))))->hBOOL(hAPP_int_bool(P_1,I_1))))).
% 114.76/113.59  all B_1 A_2 C_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_2),C_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_1),C_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_2),B_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_1),A_2)))).
% 114.76/113.59  all X_1 P_1 ((all A_1 ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_1))->hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_1),one_one_int))))->hBOOL(hAPP_int_bool(P_1,A_1))))->hBOOL(hAPP_int_bool(P_1,X_1))).
% 114.76/113.59  all V_13 U_3 Y_24 X_37 A_183 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_37),A_183))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Y_24),A_183))-> (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_13))-> (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,U_3),V_13)=one_one_rat->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,U_3),X_37)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,V_13),Y_24))),A_183))))))).
% 114.76/113.59  all V_13 U_3 Y_24 X_37 A_183 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_37),A_183))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_24),A_183))-> (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_13))-> (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,U_3),V_13)=one_one_real->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,U_3),X_37)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,V_13),Y_24))),A_183))))))).
% 114.76/113.59  all V_13 U_3 Y_24 X_37 A_183 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_37),A_183))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_24),A_183))-> (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_13))-> (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,U_3),V_13)=one_one_int->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,U_3),X_37)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,V_13),Y_24))),A_183))))))).
% 114.76/113.59  all V X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(number_number_of_int,V)),archim1419379755ng_rat(X_1)))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,hAPP_int_rat(number_number_of_rat,V)),one_one_rat)),X_1))).
% 114.76/113.59  all V X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(number_number_of_int,V)),archim856651990g_real(X_1)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_int_real(number267125858f_real,V)),one_one_real)),X_1))).
% 114.76/113.59  all X_1 V (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,archim1419379755ng_rat(X_1)),hAPP_int_int(number_number_of_int,V)))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_1),hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,hAPP_int_rat(number_number_of_rat,V)),one_one_rat)))).
% 114.76/113.59  all X_1 V (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,archim856651990g_real(X_1)),hAPP_int_int(number_number_of_int,V)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_int_real(number267125858f_real,V)),one_one_real)))).
% 114.76/113.59  all X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),archim1419379755ng_rat(X_1)))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),X_1))).
% 114.76/113.59  all X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),archim856651990g_real(X_1)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))).
% 114.76/113.59  all X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,archim1419379755ng_rat(X_1)),zero_zero_int))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_1),zero_zero_rat))).
% 114.76/113.59  all X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,archim856651990g_real(X_1)),zero_zero_int))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),zero_zero_real))).
% 114.76/113.59  archim1419379755ng_rat(zero_zero_rat)=zero_zero_int.
% 114.76/113.59  archim856651990g_real(zero_zero_real)=zero_zero_int.
% 114.76/113.59  all X_1 (zero_zero_rat=X_1<->X_1=zero_zero_rat).
% 114.76/113.59  all X_1 (zero_z891286103de_int=X_1<->X_1=zero_z891286103de_int).
% 114.76/113.59  all X_1 (zero_zero_complex=X_1<->X_1=zero_zero_complex).
% 114.76/113.59  all X_1 (zero_z126310315umeral=X_1<->X_1=zero_z126310315umeral).
% 114.76/113.59  all X_1 (zero_zero_nat=X_1<->X_1=zero_zero_nat).
% 114.76/113.59  all X_1 (zero_zero_real=X_1<->X_1=zero_zero_real).
% 114.76/113.59  all X_1 (zero_zero_int=X_1<->X_1=zero_zero_int).
% 114.76/113.59  all X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,archim1419379755ng_rat(X_1)),one_one_int))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_1),zero_zero_rat))).
% 114.76/113.59  all X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,archim856651990g_real(X_1)),one_one_int))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),zero_zero_real))).
% 114.76/113.59  all X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),archim1419379755ng_rat(X_1)))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),X_1))).
% 114.76/113.59  all X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),archim856651990g_real(X_1)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))).
% 114.76/113.59  all A_182 B_138 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_182),B_138)=zero_zero_rat->A_182=zero_zero_rat|B_138=zero_zero_rat).
% 114.76/113.59  all A_182 B_138 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_182),B_138)=zero_z891286103de_int->A_182=zero_z891286103de_int|B_138=zero_z891286103de_int).
% 114.76/113.59  all A_182 B_138 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_182),B_138)=zero_zero_complex->A_182=zero_zero_complex|B_138=zero_zero_complex).
% 114.76/113.59  all A_182 B_138 (hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_182),B_138)=zero_z126310315umeral->A_182=zero_z126310315umeral|B_138=zero_z126310315umeral).
% 114.76/113.59  all A_182 B_138 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_182),B_138)=zero_zero_nat->A_182=zero_zero_nat|B_138=zero_zero_nat).
% 114.76/113.59  all A_182 B_138 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_182),B_138)=zero_zero_real->A_182=zero_zero_real|B_138=zero_zero_real).
% 114.76/113.59  all A_182 B_138 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_182),B_138)=zero_zero_int->A_182=zero_zero_int|B_138=zero_zero_int).
% 114.76/113.59  all B_137 A_181 (A_181!=zero_zero_rat-> (B_137!=zero_zero_rat->hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_181),B_137)!=zero_zero_rat)).
% 114.76/113.59  all B_137 A_181 (A_181!=zero_z891286103de_int-> (B_137!=zero_z891286103de_int->hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_181),B_137)!=zero_z891286103de_int)).
% 114.76/113.59  all B_137 A_181 (A_181!=zero_zero_complex-> (B_137!=zero_zero_complex->hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_181),B_137)!=zero_zero_complex)).
% 114.76/113.59  all B_137 A_181 (A_181!=zero_z126310315umeral-> (B_137!=zero_z126310315umeral->hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_181),B_137)!=zero_z126310315umeral)).
% 114.76/113.59  all B_137 A_181 (A_181!=zero_zero_nat-> (B_137!=zero_zero_nat->hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_181),B_137)!=zero_zero_nat)).
% 114.76/113.59  all B_137 A_181 (A_181!=zero_zero_real-> (B_137!=zero_zero_real->hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_181),B_137)!=zero_zero_real)).
% 114.76/113.59  all B_137 A_181 (A_181!=zero_zero_int-> (B_137!=zero_zero_int->hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_181),B_137)!=zero_zero_int)).
% 114.76/113.59  all Aa Ba (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Aa),Ba)=zero_zero_rat<->Aa=zero_zero_rat|Ba=zero_zero_rat).
% 114.76/113.59  all Aa Ba (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Aa),Ba)=zero_zero_complex<->Aa=zero_zero_complex|Ba=zero_zero_complex).
% 114.76/113.59  all Aa Ba (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Aa),Ba)=zero_zero_real<->Aa=zero_zero_real|Ba=zero_zero_real).
% 114.76/113.59  all Aa Ba (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Aa),Ba)=zero_zero_int<->Aa=zero_zero_int|Ba=zero_zero_int).
% 114.76/113.59  all X_36 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,X_36),zero_zero_complex)=zero_zero_complex).
% 114.76/113.59  all X_36 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_36),zero_zero_real)=zero_zero_real).
% 114.76/113.59  all A_180 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_180),zero_zero_complex)=zero_zero_complex).
% 114.76/113.59  all A_180 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_180),zero_zero_real)=zero_zero_real).
% 114.76/113.59  all A_179 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_179),zero_zero_rat)=zero_zero_rat).
% 114.76/113.59  all A_179 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_179),zero_z891286103de_int)=zero_z891286103de_int).
% 114.76/113.59  all A_179 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_179),zero_zero_complex)=zero_zero_complex).
% 114.76/113.59  all A_179 (hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_179),zero_z126310315umeral)=zero_z126310315umeral).
% 114.76/113.59  all A_179 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_179),zero_zero_nat)=zero_zero_nat).
% 114.76/113.59  all A_179 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_179),zero_zero_real)=zero_zero_real).
% 114.76/113.59  all A_179 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_179),zero_zero_int)=zero_zero_int).
% 114.76/113.59  all Y_23 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,zero_zero_complex),Y_23)=zero_zero_complex).
% 114.76/113.59  all Y_23 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,zero_zero_real),Y_23)=zero_zero_real).
% 114.76/113.59  all B_136 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,zero_zero_complex),B_136)=zero_zero_complex).
% 114.76/113.59  all B_136 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,zero_zero_real),B_136)=zero_zero_real).
% 114.76/113.59  all A_178 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,zero_zero_rat),A_178)=zero_zero_rat).
% 114.76/113.59  all A_178 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,zero_z891286103de_int),A_178)=zero_z891286103de_int).
% 114.76/113.59  all A_178 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,zero_zero_complex),A_178)=zero_zero_complex).
% 114.76/113.59  all A_178 (hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,zero_z126310315umeral),A_178)=zero_z126310315umeral).
% 114.76/113.59  all A_178 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,zero_zero_nat),A_178)=zero_zero_nat).
% 114.76/113.59  all A_178 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,zero_zero_real),A_178)=zero_zero_real).
% 114.76/113.59  all A_178 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,zero_zero_int),A_178)=zero_zero_int).
% 114.76/113.59  all A_177 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_177),zero_zero_rat)=zero_zero_rat).
% 114.76/113.59  all A_177 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_177),zero_z891286103de_int)=zero_z891286103de_int).
% 114.76/113.59  all A_177 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_177),zero_zero_complex)=zero_zero_complex).
% 114.76/113.59  all A_177 (hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_177),zero_z126310315umeral)=zero_z126310315umeral).
% 114.76/113.59  all A_177 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_177),zero_zero_nat)=zero_zero_nat).
% 114.76/113.59  all A_177 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_177),zero_zero_real)=zero_zero_real).
% 114.76/113.59  all A_177 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_177),zero_zero_int)=zero_zero_int).
% 114.76/113.59  all A_176 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,zero_zero_rat),A_176)=zero_zero_rat).
% 114.76/113.59  all A_176 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,zero_z891286103de_int),A_176)=zero_z891286103de_int).
% 114.76/113.59  all A_176 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,zero_zero_complex),A_176)=zero_zero_complex).
% 114.76/113.59  all A_176 (hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,zero_z126310315umeral),A_176)=zero_z126310315umeral).
% 114.76/113.59  all A_176 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,zero_zero_nat),A_176)=zero_zero_nat).
% 114.76/113.59  all A_176 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,zero_zero_real),A_176)=zero_zero_real).
% 114.76/113.59  all A_176 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,zero_zero_int),A_176)=zero_zero_int).
% 114.76/113.59  all Aa (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,Aa),Aa)=zero_zero_rat<->Aa=zero_zero_rat).
% 114.76/113.59  all Aa (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Aa),Aa)=zero_zero_real<->Aa=zero_zero_real).
% 114.76/113.59  all Aa (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Aa),Aa)=zero_zero_int<->Aa=zero_zero_int).
% 114.76/113.59  all A_175 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_175),zero_zero_rat)=A_175).
% 114.76/113.59  all A_175 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_175),zero_z891286103de_int)=A_175).
% 114.76/113.59  all A_175 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_175),zero_zero_complex)=A_175).
% 114.76/113.59  all A_175 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_175),zero_zero_nat)=A_175).
% 114.76/113.59  all A_175 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_175),zero_zero_real)=A_175).
% 114.76/113.59  all A_175 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_175),zero_zero_int)=A_175).
% 114.76/113.59  all A_175 (hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_175),zero_z126310315umeral)=A_175).
% 114.76/113.59  all A_174 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_174),zero_zero_rat)=A_174).
% 114.76/113.59  all A_174 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_174),zero_z891286103de_int)=A_174).
% 114.76/113.59  all A_174 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_174),zero_zero_complex)=A_174).
% 114.76/113.59  all A_174 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_174),zero_zero_nat)=A_174).
% 114.76/113.59  all A_174 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_174),zero_zero_real)=A_174).
% 114.76/113.59  all A_174 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_174),zero_zero_int)=A_174).
% 114.76/113.59  all A_174 (hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_174),zero_z126310315umeral)=A_174).
% 114.76/113.59  all Aa (zero_zero_rat=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,Aa),Aa)<->Aa=zero_zero_rat).
% 114.76/113.59  all Aa (zero_zero_real=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Aa),Aa)<->Aa=zero_zero_real).
% 114.76/113.59  all Aa (zero_zero_int=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Aa),Aa)<->Aa=zero_zero_int).
% 114.76/113.59  all A_173 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,zero_zero_rat),A_173)=A_173).
% 114.76/113.59  all A_173 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,zero_z891286103de_int),A_173)=A_173).
% 114.76/113.59  all A_173 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,zero_zero_complex),A_173)=A_173).
% 114.76/113.59  all A_173 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,zero_zero_nat),A_173)=A_173).
% 114.76/113.59  all A_173 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,zero_zero_real),A_173)=A_173).
% 114.76/113.59  all A_173 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,zero_zero_int),A_173)=A_173).
% 114.76/113.59  all A_173 (hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,zero_z126310315umeral),A_173)=A_173).
% 114.76/113.59  all A_172 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,zero_zero_rat),A_172)=A_172).
% 114.76/113.59  all A_172 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,zero_z891286103de_int),A_172)=A_172).
% 114.76/113.59  all A_172 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,zero_zero_complex),A_172)=A_172).
% 114.76/113.59  all A_172 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,zero_zero_nat),A_172)=A_172).
% 114.76/113.59  all A_172 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,zero_zero_real),A_172)=A_172).
% 114.76/113.59  all A_172 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,zero_zero_int),A_172)=A_172).
% 114.76/113.59  all A_172 (hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,zero_z126310315umeral),A_172)=A_172).
% 114.76/113.59  all Ba Aa (Ba=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,Ba),Aa)<->Aa=zero_zero_rat).
% 114.76/113.59  all Ba Aa (Ba=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,Ba),Aa)<->Aa=zero_zero_complex).
% 114.76/113.59  all Ba Aa (Ba=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Ba),Aa)<->Aa=zero_zero_nat).
% 114.76/113.59  all Ba Aa (Ba=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Ba),Aa)<->Aa=zero_zero_real).
% 114.76/113.59  all Ba Aa (Ba=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Ba),Aa)<->Aa=zero_zero_int).
% 114.76/113.59  all A_171 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_171),zero_zero_rat)=A_171).
% 114.76/113.59  all A_171 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_171),zero_z891286103de_int)=A_171).
% 114.76/113.59  all A_171 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_171),zero_zero_complex)=A_171).
% 114.76/113.59  all A_171 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_171),zero_zero_nat)=A_171).
% 114.76/113.59  all A_171 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_171),zero_zero_real)=A_171).
% 114.76/113.59  all A_171 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_171),zero_zero_int)=A_171).
% 114.76/113.59  all A_171 (hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_171),zero_z126310315umeral)=A_171).
% 114.76/113.59  all A_170 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,zero_zero_rat),A_170)=A_170).
% 114.76/113.59  all A_170 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,zero_z891286103de_int),A_170)=A_170).
% 114.76/113.59  all A_170 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,zero_zero_complex),A_170)=A_170).
% 114.76/113.59  all A_170 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,zero_zero_nat),A_170)=A_170).
% 114.76/113.59  all A_170 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,zero_zero_real),A_170)=A_170).
% 114.76/113.59  all A_170 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,zero_zero_int),A_170)=A_170).
% 114.76/113.59  all A_170 (hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,zero_z126310315umeral),A_170)=A_170).
% 114.76/113.59  zero_zero_rat!=one_one_rat.
% 114.76/113.59  zero_z891286103de_int!=one_on1684967323de_int.
% 114.76/113.59  zero_zero_complex!=one_one_complex.
% 114.76/113.59  zero_z126310315umeral!=one_on1645066479umeral.
% 114.76/113.59  zero_zero_nat!=one_one_nat.
% 114.76/113.59  zero_zero_real!=one_one_real.
% 114.76/113.59  zero_zero_int!=one_one_int.
% 114.76/113.59  one_one_rat!=zero_zero_rat.
% 114.76/113.59  one_on1684967323de_int!=zero_z891286103de_int.
% 114.76/113.59  one_one_complex!=zero_zero_complex.
% 114.76/113.59  one_on1645066479umeral!=zero_z126310315umeral.
% 114.76/113.59  one_one_nat!=zero_zero_nat.
% 114.76/113.59  one_one_real!=zero_zero_real.
% 114.76/113.59  one_one_int!=zero_zero_int.
% 114.76/113.59  all Aa Ba (hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,Aa),Ba)=zero_zero_rat<->Aa=Ba).
% 114.76/113.59  all Aa Ba (hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,Aa),Ba)=zero_zero_complex<->Aa=Ba).
% 114.76/113.59  all Aa Ba (hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Aa),Ba)=zero_zero_real<->Aa=Ba).
% 114.76/113.59  all Aa Ba (hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Aa),Ba)=zero_zero_int<->Aa=Ba).
% 114.76/113.59  all Aa Ba (Aa=Ba<->hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,Aa),Ba)=zero_zero_rat).
% 114.76/113.59  all Aa Ba (Aa=Ba<->hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,Aa),Ba)=zero_zero_complex).
% 114.76/113.59  all Aa Ba (Aa=Ba<->hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Aa),Ba)=zero_zero_real).
% 114.76/113.59  all Aa Ba (Aa=Ba<->hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Aa),Ba)=zero_zero_int).
% 114.76/113.59  all A_169 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,A_169),A_169)=zero_zero_rat).
% 114.76/113.59  all A_169 (hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,A_169),A_169)=zero_zero_complex).
% 114.76/113.59  all A_169 (hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,A_169),A_169)=zero_zero_real).
% 114.76/113.59  all A_169 (hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_169),A_169)=zero_zero_int).
% 114.76/113.59  all A_168 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,A_168),zero_zero_rat)=A_168).
% 114.76/113.59  all A_168 (hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,A_168),zero_zero_complex)=A_168).
% 114.76/113.59  all A_168 (hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,A_168),zero_zero_real)=A_168).
% 114.76/113.59  all A_168 (hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_168),zero_zero_int)=A_168).
% 114.76/113.59  zero_zero_int!=one_one_int.
% 114.76/113.59  all Z_1 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Z_1),zero_zero_int)=Z_1).
% 114.76/113.59  all Z_1 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,zero_zero_int),Z_1)=Z_1).
% 114.76/113.59  all X_35 Y_22 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,archim1419379755ng_rat(X_35)),archim1419379755ng_rat(Y_22)))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_35),Y_22))).
% 114.76/113.59  all X_35 Y_22 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,archim856651990g_real(X_35)),archim856651990g_real(Y_22)))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_35),Y_22))).
% 114.76/113.59  all Y_21 X_34 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_21),X_34))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,archim856651990g_real(Y_21)),archim856651990g_real(X_34)))).
% 114.76/113.59  all Y_21 X_34 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Y_21),X_34))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,archim1419379755ng_rat(Y_21)),archim1419379755ng_rat(X_34)))).
% 114.76/113.59  archim1419379755ng_rat(one_one_rat)=one_one_int.
% 114.76/113.59  archim856651990g_real(one_one_real)=one_one_int.
% 114.76/113.59  all V_12 (archim856651990g_real(hAPP_int_real(number267125858f_real,V_12))=hAPP_int_int(number_number_of_int,V_12)).
% 114.76/113.59  all V_12 (archim1419379755ng_rat(hAPP_int_rat(number_number_of_rat,V_12))=hAPP_int_int(number_number_of_int,V_12)).
% 114.76/113.59  all A_167 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_167),A_167))).
% 114.76/113.59  all A_167 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_167),A_167))).
% 114.76/113.59  all A_167 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_167),A_167))).
% 114.76/113.59  all Aa Ba (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,Aa),Ba)))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),Aa))&hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),Ba))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Aa),zero_zero_rat))&hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Ba),zero_zero_rat))).
% 114.76/113.59  all Aa Ba (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Aa),Ba)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Aa))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Ba))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),zero_zero_real))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Ba),zero_zero_real))).
% 114.76/113.59  all Aa Ba (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,Aa),Ba)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Aa))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Ba))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),zero_zero_int))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Ba),zero_zero_int))).
% 114.76/113.59  all Aa Ba (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Aa),Ba)),zero_zero_rat))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),Aa))&hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Ba),zero_zero_rat))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Aa),zero_zero_rat))&hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),Ba))).
% 114.76/113.59  all Aa Ba (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Aa),Ba)),zero_zero_real))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Aa))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Ba),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),zero_zero_real))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Ba))).
% 114.76/113.59  all Aa Ba (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Aa),Ba)),zero_zero_int))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Aa))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Ba),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),zero_zero_int))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Ba))).
% 114.76/113.59  all B_135 A_166 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),A_166))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),B_135))->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_166),B_135))))).
% 114.76/113.59  all B_135 A_166 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),A_166))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),B_135))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_166),B_135))))).
% 114.76/113.59  all B_135 A_166 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),A_166))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),B_135))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_166),B_135))))).
% 114.76/113.59  all B_135 A_166 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_166))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B_135))->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_166),B_135))))).
% 114.76/113.59  all B_135 A_166 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_166))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B_135))->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_166),B_135))))).
% 114.76/113.59  all B_135 A_166 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_166))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_135))->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_166),B_135))))).
% 114.76/113.59  all B_134 A_165 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),A_165))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,B_134),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_165),B_134)),zero_zero_rat)))).
% 114.76/113.59  all B_134 A_165 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),A_165))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,B_134),zero_z891286103de_int))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_165),B_134)),zero_z891286103de_int)))).
% 114.76/113.59  all B_134 A_165 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),A_165))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,B_134),zero_z126310315umeral))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_165),B_134)),zero_z126310315umeral)))).
% 114.76/113.59  all B_134 A_165 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_165))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_134),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_165),B_134)),zero_zero_nat)))).
% 114.76/113.59  all B_134 A_165 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_165))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_134),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_165),B_134)),zero_zero_real)))).
% 114.76/113.59  all B_134 A_165 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_165))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_134),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_165),B_134)),zero_zero_int)))).
% 114.76/113.59  all B_133 A_164 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),A_164))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,B_133),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_133),A_164)),zero_zero_rat)))).
% 114.76/113.59  all B_133 A_164 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),A_164))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,B_133),zero_z891286103de_int))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_133),A_164)),zero_z891286103de_int)))).
% 114.76/113.59  all B_133 A_164 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),A_164))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,B_133),zero_z126310315umeral))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_133),A_164)),zero_z126310315umeral)))).
% 114.76/113.59  all B_133 A_164 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_164))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_133),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_133),A_164)),zero_zero_nat)))).
% 114.76/113.59  all B_133 A_164 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_164))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_133),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_133),A_164)),zero_zero_real)))).
% 114.76/113.59  all B_133 A_164 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_164))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_133),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_133),A_164)),zero_zero_int)))).
% 114.76/113.59  all B_132 A_163 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_163),zero_zero_rat))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),B_132))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_163),B_132)),zero_zero_rat)))).
% 114.76/113.59  all B_132 A_163 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_163),zero_z891286103de_int))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),B_132))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_163),B_132)),zero_z891286103de_int)))).
% 114.76/113.59  all B_132 A_163 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,A_163),zero_z126310315umeral))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),B_132))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_163),B_132)),zero_z126310315umeral)))).
% 114.76/113.59  all B_132 A_163 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_163),zero_zero_nat))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B_132))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_163),B_132)),zero_zero_nat)))).
% 114.76/113.59  all B_132 A_163 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_163),zero_zero_real))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B_132))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_163),B_132)),zero_zero_real)))).
% 114.76/113.59  all B_132 A_163 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_163),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_132))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_163),B_132)),zero_zero_int)))).
% 114.76/113.59  all B_131 A_162 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_162),zero_zero_rat))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,B_131),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_162),B_131))))).
% 114.76/113.59  all B_131 A_162 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_162),zero_zero_real))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_131),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_162),B_131))))).
% 114.76/113.59  all B_131 A_162 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_162),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_131),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_162),B_131))))).
% 114.76/113.59  all C_63 A_161 B_130 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_161),B_130))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),C_63))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_161),C_63)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_130),C_63))))).
% 114.76/113.59  all C_63 A_161 B_130 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_161),B_130))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),C_63))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_161),C_63)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_130),C_63))))).
% 114.76/113.59  all C_63 A_161 B_130 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,A_161),B_130))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),C_63))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_161),C_63)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_130),C_63))))).
% 114.76/113.59  all C_63 A_161 B_130 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_161),B_130))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_63))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_161),C_63)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_130),C_63))))).
% 114.76/113.59  all C_63 A_161 B_130 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_161),B_130))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C_63))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_161),C_63)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_130),C_63))))).
% 114.76/113.59  all C_63 A_161 B_130 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_161),B_130))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_63))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_161),C_63)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_130),C_63))))).
% 114.76/113.59  all C_62 A_160 B_129 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_160),B_129))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),C_62))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C_62),A_160)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C_62),B_129))))).
% 114.76/113.59  all C_62 A_160 B_129 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_160),B_129))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),C_62))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_62),A_160)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_62),B_129))))).
% 114.76/113.59  all C_62 A_160 B_129 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,A_160),B_129))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),C_62))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_62),A_160)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_62),B_129))))).
% 114.76/113.59  all C_62 A_160 B_129 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_160),B_129))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_62))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_62),A_160)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_62),B_129))))).
% 114.76/113.59  all C_62 A_160 B_129 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_160),B_129))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C_62))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C_62),A_160)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C_62),B_129))))).
% 114.76/113.59  all C_62 A_160 B_129 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_160),B_129))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_62))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_62),A_160)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_62),B_129))))).
% 114.76/113.59  all C_61 A_159 B_128 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_159),B_128))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),C_61))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C_61),A_159)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C_61),B_128))))).
% 114.76/113.59  all C_61 A_159 B_128 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_159),B_128))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),C_61))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_61),A_159)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_61),B_128))))).
% 114.76/113.59  all C_61 A_159 B_128 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,A_159),B_128))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),C_61))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_61),A_159)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_61),B_128))))).
% 114.76/113.59  all C_61 A_159 B_128 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_159),B_128))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_61))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_61),A_159)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_61),B_128))))).
% 114.76/113.59  all C_61 A_159 B_128 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_159),B_128))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C_61))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C_61),A_159)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C_61),B_128))))).
% 114.76/113.59  all C_61 A_159 B_128 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_159),B_128))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_61))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_61),A_159)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_61),B_128))))).
% 114.76/113.59  all C_60 B_127 A_158 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,B_127),A_158))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,C_60),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_158),C_60)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_127),C_60))))).
% 114.76/113.59  all C_60 B_127 A_158 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_127),A_158))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_60),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_158),C_60)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_127),C_60))))).
% 114.76/113.59  all C_60 B_127 A_158 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_127),A_158))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_60),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_158),C_60)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_127),C_60))))).
% 114.76/113.59  all C_59 B_126 A_157 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,B_126),A_157))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,C_59),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_59),A_157)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C_59),B_126))))).
% 114.76/113.59  all C_59 B_126 A_157 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_126),A_157))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_59),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_59),A_157)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C_59),B_126))))).
% 114.76/113.59  all C_59 B_126 A_157 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_126),A_157))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_59),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_59),A_157)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_59),B_126))))).
% 114.76/113.59  all C_58 D_13 A_156 B_125 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_156),B_125))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,C_58),D_13))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),A_156))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),C_58))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_156),C_58)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_125),D_13))))))).
% 114.76/113.59  all C_58 D_13 A_156 B_125 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_156),B_125))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,C_58),D_13))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),A_156))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),C_58))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_156),C_58)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_125),D_13))))))).
% 114.76/113.59  all C_58 D_13 A_156 B_125 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,A_156),B_125))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,C_58),D_13))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),A_156))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),C_58))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_156),C_58)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_125),D_13))))))).
% 114.76/113.59  all C_58 D_13 A_156 B_125 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_156),B_125))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_58),D_13))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_156))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_58))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_156),C_58)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_125),D_13))))))).
% 114.76/113.59  all C_58 D_13 A_156 B_125 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_156),B_125))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_58),D_13))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_156))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C_58))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_156),C_58)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_125),D_13))))))).
% 114.76/113.59  all C_58 D_13 A_156 B_125 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_156),B_125))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_58),D_13))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_156))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_58))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_156),C_58)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_125),D_13))))))).
% 114.76/113.59  all C_57 D_12 A_155 B_124 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_155),B_124))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,C_57),D_12))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),B_124))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),C_57))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_155),C_57)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_124),D_12))))))).
% 114.76/113.60  all C_57 D_12 A_155 B_124 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_155),B_124))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,C_57),D_12))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),B_124))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),C_57))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_155),C_57)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_124),D_12))))))).
% 114.76/113.60  all C_57 D_12 A_155 B_124 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,A_155),B_124))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,C_57),D_12))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),B_124))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),C_57))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_155),C_57)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_124),D_12))))))).
% 114.76/113.60  all C_57 D_12 A_155 B_124 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_155),B_124))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_57),D_12))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B_124))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_57))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_155),C_57)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_124),D_12))))))).
% 114.76/113.60  all C_57 D_12 A_155 B_124 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_155),B_124))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_57),D_12))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B_124))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C_57))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_155),C_57)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_124),D_12))))))).
% 114.76/113.60  all C_57 D_12 A_155 B_124 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_155),B_124))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_57),D_12))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_124))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_57))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_155),C_57)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_124),D_12))))))).
% 114.76/113.60  all B_123 A_154 (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_123))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_154),zero_zero_rat))&hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,B_123),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_154),B_123)))).
% 114.76/113.60  all B_123 A_154 (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_123))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_154),zero_zero_real))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_123),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_154),B_123)))).
% 114.76/113.60  all B_123 A_154 (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_123))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_154),zero_zero_int))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_123),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_154),B_123)))).
% 114.76/113.60  all B_122 A_153 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),A_153))&hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,B_122),zero_zero_rat))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_153),zero_zero_rat))&hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),B_122))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_153),B_122)),zero_zero_rat))).
% 114.76/113.60  all B_122 A_153 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),A_153))&hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,B_122),zero_z891286103de_int))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_153),zero_z891286103de_int))&hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),B_122))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_153),B_122)),zero_z891286103de_int))).
% 114.76/113.60  all B_122 A_153 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),A_153))&hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,B_122),zero_z126310315umeral))|hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,A_153),zero_z126310315umeral))&hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),B_122))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_153),B_122)),zero_z126310315umeral))).
% 114.76/113.60  all B_122 A_153 (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_e_q_nat,B_122),zero_zero_nat))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_153),zero_zero_nat))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B_122))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_153),B_122)),zero_zero_nat))).
% 114.76/113.60  all B_122 A_153 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_153))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_122),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_153),zero_zero_real))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B_122))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_153),B_122)),zero_zero_real))).
% 114.76/113.60  all B_122 A_153 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_153))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_122),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_153),zero_zero_int))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_122))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_153),B_122)),zero_zero_int))).
% 114.76/113.60  all A_152 (-hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_152),A_152)),zero_zero_rat))).
% 114.76/113.60  all A_152 (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_152),A_152)),zero_zero_real))).
% 114.76/113.60  all A_152 (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_152),A_152)),zero_zero_int))).
% 114.76/113.60  all Aa C Ba (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Aa),C)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Ba),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,Aa),Ba))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,C),zero_zero_rat))&hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Ba),Aa))).
% 114.76/113.60  all Aa C Ba (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Aa),C)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Ba),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,Aa),Ba))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C),zero_zero_real))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Ba),Aa))).
% 114.76/113.60  all Aa C Ba (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Aa),C)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Ba),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,Aa),Ba))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),zero_zero_int))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Ba),Aa))).
% 114.76/113.60  all C Aa Ba (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C),Aa)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C),Ba)))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),C))&hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Aa),Ba))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,C),zero_zero_rat))&hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Ba),Aa))).
% 114.76/113.60  all C Aa Ba (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C),Aa)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C),Ba)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),C))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C),zero_zero_real))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Ba),Aa))).
% 114.76/113.60  all C Aa Ba (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),Aa)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),Ba)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),Ba))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),zero_zero_int))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Ba),Aa))).
% 114.76/113.60  all Aa Ba 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),Aa)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C),Ba)))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Aa),Ba)))).
% 114.76/113.60  all Aa Ba 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),Aa)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C),Ba)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba)))).
% 114.76/113.60  all Aa Ba 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),Aa)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),Ba)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),Ba)))).
% 114.76/113.60  all B_121 A_151 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),A_151))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),B_121))->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_151),B_121))))).
% 114.76/113.60  all B_121 A_151 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),A_151))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),B_121))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_151),B_121))))).
% 114.76/113.60  all B_121 A_151 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),A_151))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),B_121))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_151),B_121))))).
% 114.76/113.60  all B_121 A_151 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_151))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B_121))->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_151),B_121))))).
% 114.76/113.60  all B_121 A_151 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_151))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),B_121))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_151),B_121))))).
% 114.76/113.60  all B_121 A_151 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_151))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_121))->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_151),B_121))))).
% 114.76/113.60  all B_120 A_150 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),A_150))-> (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(times_times_rat,A_150),B_120)),zero_zero_rat)))).
% 114.76/113.60  all B_120 A_150 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),A_150))-> (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(times_123202395de_int,A_150),B_120)),zero_z891286103de_int)))).
% 114.76/113.60  all B_120 A_150 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),A_150))-> (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(times_1655362735umeral,A_150),B_120)),zero_z126310315umeral)))).
% 114.76/113.60  all B_120 A_150 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_150))-> (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(times_times_nat,A_150),B_120)),zero_zero_nat)))).
% 114.76/113.60  all B_120 A_150 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_150))-> (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(times_times_real,A_150),B_120)),zero_zero_real)))).
% 114.76/113.60  all B_120 A_150 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_150))-> (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(times_times_int,A_150),B_120)),zero_zero_int)))).
% 114.76/113.60  all B_119 A_149 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),A_149))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,B_119),zero_zero_rat))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_119),A_149)),zero_zero_rat)))).
% 114.76/113.60  all B_119 A_149 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),A_149))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,B_119),zero_z891286103de_int))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_119),A_149)),zero_z891286103de_int)))).
% 114.76/113.60  all B_119 A_149 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),A_149))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,B_119),zero_z126310315umeral))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_119),A_149)),zero_z126310315umeral)))).
% 114.76/113.60  all B_119 A_149 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_149))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_119),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_119),A_149)),zero_zero_nat)))).
% 114.76/113.60  all B_119 A_149 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_149))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_119),zero_zero_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_119),A_149)),zero_zero_real)))).
% 114.76/113.60  all B_119 A_149 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_149))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_119),zero_zero_int))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_119),A_149)),zero_zero_int)))).
% 114.76/113.60  all A_148 B_118 (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_148),B_118)))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),A_148))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),B_118)))).
% 114.76/113.60  all A_148 B_118 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_148),B_118)))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),A_148))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),B_118)))).
% 114.76/113.60  all A_148 B_118 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_148),B_118)))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),A_148))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),B_118)))).
% 114.76/113.60  all A_148 B_118 (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_148),B_118)))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_148))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B_118)))).
% 114.76/113.60  all A_148 B_118 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_148),B_118)))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_148))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),B_118)))).
% 114.76/113.60  all A_148 B_118 (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_148),B_118)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_148))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_118)))).
% 114.76/113.60  all B_117 A_147 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_117),A_147)))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),A_147))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),B_117)))).
% 114.76/113.60  all B_117 A_147 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_117),A_147)))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),A_147))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),B_117)))).
% 114.76/113.60  all B_117 A_147 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_117),A_147)))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),A_147))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),B_117)))).
% 114.76/113.60  all B_117 A_147 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_117),A_147)))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_147))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B_117)))).
% 114.76/113.60  all B_117 A_147 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_117),A_147)))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_147))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),B_117)))).
% 114.76/113.60  all B_117 A_147 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_117),A_147)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_147))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_117)))).
% 114.76/113.60  all Aa Ba 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),Aa)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C),Ba)))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Ba),Aa)))).
% 114.76/113.60  all Aa Ba 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),Aa)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C),Ba)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Ba),Aa)))).
% 114.76/113.60  all Aa Ba 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),Aa)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),Ba)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Ba),Aa)))).
% 114.76/113.60  all B_116 A_146 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_146),zero_zero_rat))-> (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,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_146),B_116)),zero_zero_rat)))).
% 114.76/113.60  all B_116 A_146 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_146),zero_z891286103de_int))-> (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,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_146),B_116)),zero_z891286103de_int)))).
% 114.76/113.60  all B_116 A_146 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,A_146),zero_z126310315umeral))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),B_116))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_146),B_116)),zero_z126310315umeral)))).
% 114.76/113.60  all B_116 A_146 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_146),zero_zero_nat))-> (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,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_146),B_116)),zero_zero_nat)))).
% 114.76/113.60  all B_116 A_146 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_146),zero_zero_real))-> (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,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_146),B_116)),zero_zero_real)))).
% 114.76/113.60  all B_116 A_146 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_146),zero_zero_int))-> (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,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_146),B_116)),zero_zero_int)))).
% 114.76/113.60  all B_115 A_145 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_145),zero_zero_rat))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,B_115),zero_zero_rat))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_145),B_115))))).
% 114.76/113.60  all B_115 A_145 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_145),zero_zero_real))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_115),zero_zero_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_145),B_115))))).
% 114.76/113.60  all B_115 A_145 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_145),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_115),zero_zero_int))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_145),B_115))))).
% 114.76/113.60  all C_56 A_144 B_114 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_144),B_114))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),C_56))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_144),C_56)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_114),C_56))))).
% 114.76/113.60  all C_56 A_144 B_114 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_144),B_114))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),C_56))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_144),C_56)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_114),C_56))))).
% 114.76/113.60  all C_56 A_144 B_114 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,A_144),B_114))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),C_56))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_144),C_56)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_114),C_56))))).
% 114.76/113.60  all C_56 A_144 B_114 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_144),B_114))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),C_56))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_144),C_56)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_114),C_56))))).
% 114.76/113.60  all C_56 A_144 B_114 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_144),B_114))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),C_56))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_144),C_56)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_114),C_56))))).
% 114.76/113.60  all C_56 A_144 B_114 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_144),B_114))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_56))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_144),C_56)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_114),C_56))))).
% 114.76/113.60  all C_55 A_143 B_113 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_143),B_113))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),C_55))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C_55),A_143)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C_55),B_113))))).
% 114.76/113.60  all C_55 A_143 B_113 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_143),B_113))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),C_55))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_55),A_143)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_55),B_113))))).
% 114.76/113.60  all C_55 A_143 B_113 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,A_143),B_113))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),C_55))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_55),A_143)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_55),B_113))))).
% 114.76/113.60  all C_55 A_143 B_113 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_143),B_113))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),C_55))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_55),A_143)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_55),B_113))))).
% 114.76/113.60  all C_55 A_143 B_113 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_143),B_113))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),C_55))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C_55),A_143)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C_55),B_113))))).
% 114.76/113.60  all C_55 A_143 B_113 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_143),B_113))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_55))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_55),A_143)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_55),B_113))))).
% 114.76/113.60  all C_54 A_142 B_112 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_142),B_112))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),C_54))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C_54),A_142)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C_54),B_112))))).
% 114.76/113.60  all C_54 A_142 B_112 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_142),B_112))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),C_54))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_54),A_142)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_54),B_112))))).
% 114.76/113.60  all C_54 A_142 B_112 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,A_142),B_112))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),C_54))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_54),A_142)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_54),B_112))))).
% 114.76/113.60  all C_54 A_142 B_112 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_142),B_112))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),C_54))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_54),A_142)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_54),B_112))))).
% 114.76/113.60  all C_54 A_142 B_112 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_142),B_112))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),C_54))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C_54),A_142)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C_54),B_112))))).
% 114.76/113.60  all C_54 A_142 B_112 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_142),B_112))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_54))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_54),A_142)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_54),B_112))))).
% 114.76/113.60  all C_53 B_111 A_141 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,B_111),A_141))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,C_53),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_141),C_53)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_111),C_53))))).
% 114.76/113.60  all C_53 B_111 A_141 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_111),A_141))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_53),zero_zero_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_141),C_53)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_111),C_53))))).
% 114.76/113.60  all C_53 B_111 A_141 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_111),A_141))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_53),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_141),C_53)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_111),C_53))))).
% 114.76/113.60  all C_52 B_110 A_140 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,B_110),A_140))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,C_52),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_52),A_140)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C_52),B_110))))).
% 114.76/113.60  all C_52 B_110 A_140 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_110),A_140))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_52),zero_zero_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C_52),A_140)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C_52),B_110))))).
% 114.76/113.60  all C_52 B_110 A_140 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_110),A_140))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_52),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_52),A_140)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_52),B_110))))).
% 114.76/113.60  all Aa (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,Aa),Aa)))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),Aa))).
% 114.76/113.60  all Aa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Aa),Aa)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Aa))).
% 114.76/113.60  all Aa (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,Aa),Aa)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Aa))).
% 114.76/113.60  all Aa (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,Aa),Aa)),zero_zero_rat))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Aa),zero_zero_rat))).
% 114.76/113.60  all Aa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Aa),Aa)),zero_zero_real))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),zero_zero_real))).
% 114.76/113.60  all Aa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Aa),Aa)),zero_zero_int))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),zero_zero_int))).
% 114.76/113.60  all B_109 A_139 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),A_139))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),B_109))->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_139),B_109))))).
% 114.76/113.60  all B_109 A_139 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),A_139))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),B_109))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_139),B_109))))).
% 114.76/113.60  all B_109 A_139 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_139))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B_109))->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_139),B_109))))).
% 114.76/113.60  all B_109 A_139 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_139))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B_109))->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_139),B_109))))).
% 114.76/113.60  all B_109 A_139 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_139))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_109))->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_139),B_109))))).
% 114.76/113.60  all B_109 A_139 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),A_139))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),B_109))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_139),B_109))))).
% 114.76/113.60  all Y_2 X_1 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),X_1))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),Y_2))-> (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,X_1),Y_2)=zero_zero_rat<->X_1=zero_zero_rat&Y_2=zero_zero_rat))).
% 114.76/113.60  all Y_2 X_1 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),X_1))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),Y_2))-> (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,X_1),Y_2)=zero_z891286103de_int<->X_1=zero_z891286103de_int&Y_2=zero_z891286103de_int))).
% 114.76/113.60  all Y_2 X_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),X_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),Y_2))-> (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X_1),Y_2)=zero_zero_nat<->X_1=zero_zero_nat&Y_2=zero_zero_nat))).
% 114.76/113.60  all Y_2 X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Y_2))-> (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_1),Y_2)=zero_zero_real<->X_1=zero_zero_real&Y_2=zero_zero_real))).
% 114.76/113.60  all Y_2 X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y_2))-> (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_1),Y_2)=zero_zero_int<->X_1=zero_zero_int&Y_2=zero_zero_int))).
% 114.76/113.60  all Y_2 X_1 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),X_1))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),Y_2))-> (hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,X_1),Y_2)=zero_z126310315umeral<->X_1=zero_z126310315umeral&Y_2=zero_z126310315umeral))).
% 114.76/113.60  all B_108 C_51 A_138 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),A_138))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,B_108),C_51))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,B_108),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_138),C_51))))).
% 114.76/113.60  all B_108 C_51 A_138 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),A_138))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,B_108),C_51))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,B_108),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_138),C_51))))).
% 114.76/113.60  all B_108 C_51 A_138 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_138))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_108),C_51))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_108),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_138),C_51))))).
% 114.76/113.60  all B_108 C_51 A_138 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_138))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_108),C_51))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_108),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_138),C_51))))).
% 114.76/113.60  all B_108 C_51 A_138 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_138))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_108),C_51))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_108),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_138),C_51))))).
% 114.76/113.60  all B_108 C_51 A_138 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),A_138))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,B_108),C_51))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,B_108),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_138),C_51))))).
% 114.76/113.60  all B_107 A_137 C_50 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),C_50))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,B_107),A_137))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,B_107),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_137),C_50))))).
% 114.76/113.60  all B_107 A_137 C_50 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),C_50))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,B_107),A_137))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,B_107),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_137),C_50))))).
% 114.76/113.60  all B_107 A_137 C_50 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_50))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_107),A_137))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_107),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_137),C_50))))).
% 114.76/113.60  all B_107 A_137 C_50 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C_50))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_107),A_137))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_107),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_137),C_50))))).
% 114.76/113.60  all B_107 A_137 C_50 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_50))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_107),A_137))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_107),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_137),C_50))))).
% 114.76/113.60  all B_107 A_137 C_50 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),C_50))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,B_107),A_137))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,B_107),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_137),C_50))))).
% 114.76/113.60  all B_106 A_136 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_136),zero_zero_rat))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,B_106),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_136),B_106)),zero_zero_rat)))).
% 114.76/113.60  all B_106 A_136 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_136),zero_z891286103de_int))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,B_106),zero_z891286103de_int))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_136),B_106)),zero_z891286103de_int)))).
% 114.76/113.60  all B_106 A_136 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_136),zero_zero_nat))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_106),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_136),B_106)),zero_zero_nat)))).
% 114.76/113.60  all B_106 A_136 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_136),zero_zero_real))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_106),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_136),B_106)),zero_zero_real)))).
% 114.76/113.60  all B_106 A_136 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_136),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_106),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_136),B_106)),zero_zero_int)))).
% 114.76/113.60  all B_106 A_136 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,A_136),zero_z126310315umeral))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,B_106),zero_z126310315umeral))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_136),B_106)),zero_z126310315umeral)))).
% 114.76/113.60  all Aa (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,Aa),Aa)))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),Aa))).
% 114.76/113.60  all Aa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Aa),Aa)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Aa))).
% 114.76/113.60  all Aa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Aa),Aa)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Aa))).
% 114.76/113.60  all Aa (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,Aa),Aa)),zero_zero_rat))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Aa),zero_zero_rat))).
% 114.76/113.60  all Aa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Aa),Aa)),zero_zero_real))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),zero_zero_real))).
% 114.76/113.60  all Aa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Aa),Aa)),zero_zero_int))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),zero_zero_int))).
% 114.76/113.60  all Aa (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,Aa),Aa)),zero_zero_rat))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Aa),zero_zero_rat))).
% 114.76/113.60  all Aa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Aa),Aa)),zero_zero_real))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),zero_zero_real))).
% 114.76/113.60  all Aa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Aa),Aa)),zero_zero_int))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),zero_zero_int))).
% 114.76/113.60  all B_105 A_135 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),A_135))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),B_105))->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_135),B_105))))).
% 114.76/113.60  all B_105 A_135 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),A_135))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),B_105))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_135),B_105))))).
% 114.76/113.60  all B_105 A_135 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_135))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B_105))->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_135),B_105))))).
% 114.76/113.60  all B_105 A_135 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_135))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),B_105))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_135),B_105))))).
% 114.76/113.60  all B_105 A_135 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_135))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_105))->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_135),B_105))))).
% 114.76/113.60  all B_105 A_135 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),A_135))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),B_105))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_135),B_105))))).
% 114.76/113.60  all B_104 C_49 A_134 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),A_134))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,B_104),C_49))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,B_104),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_134),C_49))))).
% 114.76/113.60  all B_104 C_49 A_134 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),A_134))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,B_104),C_49))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,B_104),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_134),C_49))))).
% 114.76/113.60  all B_104 C_49 A_134 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_134))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_104),C_49))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_104),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_134),C_49))))).
% 114.76/113.60  all B_104 C_49 A_134 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_134))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_104),C_49))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_104),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_134),C_49))))).
% 114.76/113.60  all B_104 C_49 A_134 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_134))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_104),C_49))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_104),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_134),C_49))))).
% 114.76/113.60  all B_104 C_49 A_134 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),A_134))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,B_104),C_49))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,B_104),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_134),C_49))))).
% 114.76/113.60  all B_103 A_133 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_133),zero_zero_rat))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,B_103),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_133),B_103)),zero_zero_rat)))).
% 114.76/113.60  all B_103 A_133 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_133),zero_z891286103de_int))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,B_103),zero_z891286103de_int))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_133),B_103)),zero_z891286103de_int)))).
% 114.76/113.60  all B_103 A_133 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_133),zero_zero_nat))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_103),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_133),B_103)),zero_zero_nat)))).
% 114.76/113.60  all B_103 A_133 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_133),zero_zero_real))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_103),zero_zero_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_133),B_103)),zero_zero_real)))).
% 114.76/113.60  all B_103 A_133 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_133),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_103),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_133),B_103)),zero_zero_int)))).
% 114.76/113.60  all B_103 A_133 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,A_133),zero_z126310315umeral))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,B_103),zero_z126310315umeral))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_133),B_103)),zero_z126310315umeral)))).
% 114.76/113.60  hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),one_one_rat)).
% 114.76/113.60  hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),one_on1684967323de_int)).
% 114.76/113.60  hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),one_on1645066479umeral)).
% 114.76/113.60  hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),one_one_nat)).
% 114.76/113.60  hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),one_one_real)).
% 114.76/113.60  hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),one_one_int)).
% 114.76/113.60  -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,one_one_rat),zero_zero_rat)).
% 114.76/113.60  -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,one_on1684967323de_int),zero_z891286103de_int)).
% 114.76/113.60  -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,one_on1645066479umeral),zero_z126310315umeral)).
% 114.76/113.60  -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,one_one_nat),zero_zero_nat)).
% 114.76/113.60  -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),zero_zero_real)).
% 114.76/113.60  -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),zero_zero_int)).
% 114.76/113.60  hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),one_one_rat)).
% 114.76/113.60  hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),one_on1684967323de_int)).
% 114.76/113.60  hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),one_on1645066479umeral)).
% 114.76/113.60  hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),one_one_nat)).
% 114.76/113.60  hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),one_one_real)).
% 114.76/113.60  hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),one_one_int)).
% 114.76/113.60  -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,one_one_rat),zero_zero_rat)).
% 114.76/113.60  -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,one_on1684967323de_int),zero_z891286103de_int)).
% 114.76/113.60  -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,one_on1645066479umeral),zero_z126310315umeral)).
% 114.76/113.60  -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),zero_zero_nat)).
% 114.76/113.60  -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),zero_zero_real)).
% 114.76/113.60  -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),zero_zero_int)).
% 114.76/113.60  all Aa Ba (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Aa),Ba))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,Aa),Ba)),zero_zero_rat))).
% 114.76/113.60  all Aa Ba (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Aa),Ba)),zero_zero_real))).
% 114.76/113.60  all Aa Ba (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),Ba))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Aa),Ba)),zero_zero_int))).
% 114.76/113.60  all C_48 D_11 A_132 B_102 R_7 (R_7!=zero_zero_rat-> (A_132=B_102&C_48!=D_11->hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_132),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,R_7),C_48))!=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,B_102),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,R_7),D_11)))).
% 114.76/113.60  all C_48 D_11 A_132 B_102 R_7 (R_7!=zero_zero_complex-> (A_132=B_102&C_48!=D_11->hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_132),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,R_7),C_48))!=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,B_102),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,R_7),D_11)))).
% 114.76/113.60  all C_48 D_11 A_132 B_102 R_7 (R_7!=zero_zero_nat-> (A_132=B_102&C_48!=D_11->hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_132),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,R_7),C_48))!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_102),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,R_7),D_11)))).
% 114.76/113.60  all C_48 D_11 A_132 B_102 R_7 (R_7!=zero_zero_real-> (A_132=B_102&C_48!=D_11->hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_132),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,R_7),C_48))!=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B_102),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,R_7),D_11)))).
% 114.76/113.60  all C_48 D_11 A_132 B_102 R_7 (R_7!=zero_zero_int-> (A_132=B_102&C_48!=D_11->hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_132),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,R_7),C_48))!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_102),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,R_7),D_11)))).
% 114.76/113.60  all Aa Ba (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Aa),Ba))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,Aa),Ba)),zero_zero_rat))).
% 114.76/113.60  all Aa Ba (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Aa),Ba)),zero_zero_real))).
% 114.76/113.60  all Aa Ba (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),Ba))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Aa),Ba)),zero_zero_int))).
% 114.76/113.60  all A_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,X),A_2))-> (X!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_2),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_2),one_one_int)))))).
% 114.76/113.60  hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),one_one_int)).
% 114.76/113.60  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))))).
% 114.76/113.60  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).
% 114.76/113.60  all K_1 L (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),L))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,K_1),L)),zero_zero_int))).
% 114.76/113.60  all X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),archim1419379755ng_rat(X_1)))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,one_one_rat),X_1))).
% 114.76/113.60  all X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),archim856651990g_real(X_1)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),X_1))).
% 114.76/113.60  all X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,archim1419379755ng_rat(X_1)),one_one_int))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_1),one_one_rat))).
% 114.76/113.60  all X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,archim856651990g_real(X_1)),one_one_int))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),one_one_real))).
% 114.76/113.60  all V X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,V)),archim1419379755ng_rat(X_1)))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_int_rat(number_number_of_rat,V)),X_1))).
% 114.76/113.60  all V X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,V)),archim856651990g_real(X_1)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(number267125858f_real,V)),X_1))).
% 114.76/113.60  all X_1 V (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,archim856651990g_real(X_1)),hAPP_int_int(number_number_of_int,V)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),hAPP_int_real(number267125858f_real,V)))).
% 114.76/113.60  all X_1 V (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,archim1419379755ng_rat(X_1)),hAPP_int_int(number_number_of_int,V)))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_1),hAPP_int_rat(number_number_of_rat,V)))).
% 114.76/113.60  all X_33 (archim1419379755ng_rat(hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,X_33),one_one_rat))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,archim1419379755ng_rat(X_33)),one_one_int)).
% 114.76/113.60  all X_33 (archim856651990g_real(hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_33),one_one_real))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,archim856651990g_real(X_33)),one_one_int)).
% 114.76/113.60  all X_32 V_11 (archim1419379755ng_rat(hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,X_32),hAPP_int_rat(number_number_of_rat,V_11)))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,archim1419379755ng_rat(X_32)),hAPP_int_int(number_number_of_int,V_11))).
% 114.76/113.60  all X_32 V_11 (archim856651990g_real(hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_32),hAPP_int_real(number267125858f_real,V_11)))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,archim856651990g_real(X_32)),hAPP_int_int(number_number_of_int,V_11))).
% 114.76/113.60  all X_31 (archim1419379755ng_rat(hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,X_31),one_one_rat))=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,archim1419379755ng_rat(X_31)),one_one_int)).
% 114.76/113.60  all X_31 (archim856651990g_real(hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X_31),one_one_real))=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,archim856651990g_real(X_31)),one_one_int)).
% 114.76/113.60  all X_30 V_10 (archim1419379755ng_rat(hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,X_30),hAPP_int_rat(number_number_of_rat,V_10)))=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,archim1419379755ng_rat(X_30)),hAPP_int_int(number_number_of_int,V_10))).
% 114.76/113.60  all X_30 V_10 (archim856651990g_real(hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X_30),hAPP_int_real(number267125858f_real,V_10)))=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,archim856651990g_real(X_30)),hAPP_int_int(number_number_of_int,V_10))).
% 114.76/113.60  all C_47 A_131 B_101 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C_47),A_131)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C_47),B_101)))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),C_47))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_131),B_101)))).
% 114.76/113.60  all C_47 A_131 B_101 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_47),A_131)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_47),B_101)))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),C_47))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_131),B_101)))).
% 114.76/113.60  all C_47 A_131 B_101 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_47),A_131)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_47),B_101)))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),C_47))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,A_131),B_101)))).
% 114.76/113.60  all C_47 A_131 B_101 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_47),A_131)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_47),B_101)))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),C_47))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_131),B_101)))).
% 114.76/113.60  all C_47 A_131 B_101 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C_47),A_131)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C_47),B_101)))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),C_47))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_131),B_101)))).
% 114.76/113.60  all C_47 A_131 B_101 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_47),A_131)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_47),B_101)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_47))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_131),B_101)))).
% 114.76/113.60  all A_130 C_46 B_100 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_130),C_46)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_100),C_46)))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),C_46))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_130),B_100)))).
% 114.76/113.60  all A_130 C_46 B_100 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_130),C_46)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_100),C_46)))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),C_46))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_130),B_100)))).
% 114.76/113.60  all A_130 C_46 B_100 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_130),C_46)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_100),C_46)))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),C_46))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,A_130),B_100)))).
% 114.76/113.60  all A_130 C_46 B_100 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_130),C_46)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_100),C_46)))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),C_46))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_130),B_100)))).
% 114.76/113.60  all A_130 C_46 B_100 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_130),C_46)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_100),C_46)))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),C_46))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_130),B_100)))).
% 114.76/113.60  all A_130 C_46 B_100 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_130),C_46)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_100),C_46)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_46))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_130),B_100)))).
% 114.76/113.60  all C_45 A_129 B_99 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C_45),A_129)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C_45),B_99)))-> (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_rat,A_129),B_99)))).
% 114.76/113.60  all C_45 A_129 B_99 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_45),A_129)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_45),B_99)))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),C_45))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_129),B_99)))).
% 114.76/113.60  all C_45 A_129 B_99 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_45),A_129)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_45),B_99)))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),C_45))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,A_129),B_99)))).
% 114.76/113.60  all C_45 A_129 B_99 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_45),A_129)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_45),B_99)))-> (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_nat,A_129),B_99)))).
% 114.76/113.60  all C_45 A_129 B_99 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C_45),A_129)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C_45),B_99)))-> (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_real,A_129),B_99)))).
% 114.76/113.60  all C_45 A_129 B_99 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_45),A_129)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_45),B_99)))-> (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_int,A_129),B_99)))).
% 114.76/113.60  all C_44 A_128 B_98 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C_44),A_128)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C_44),B_98)))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),C_44))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_128),B_98)))).
% 114.76/113.60  all C_44 A_128 B_98 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_44),A_128)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_44),B_98)))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),C_44))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_128),B_98)))).
% 114.76/113.60  all C_44 A_128 B_98 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_44),A_128)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_44),B_98)))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),C_44))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,A_128),B_98)))).
% 114.76/113.60  all C_44 A_128 B_98 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_44),A_128)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_44),B_98)))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_44))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_128),B_98)))).
% 114.76/113.60  all C_44 A_128 B_98 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C_44),A_128)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C_44),B_98)))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C_44))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_128),B_98)))).
% 114.76/113.60  all C_44 A_128 B_98 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_44),A_128)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_44),B_98)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_44))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_128),B_98)))).
% 114.76/113.60  all A_127 C_43 B_97 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_127),C_43)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_97),C_43)))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),C_43))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_127),B_97)))).
% 114.76/113.60  all A_127 C_43 B_97 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_127),C_43)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_97),C_43)))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),C_43))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_127),B_97)))).
% 114.76/113.60  all A_127 C_43 B_97 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_127),C_43)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_97),C_43)))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),C_43))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,A_127),B_97)))).
% 114.76/113.60  all A_127 C_43 B_97 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_127),C_43)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_97),C_43)))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_43))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_127),B_97)))).
% 114.76/113.60  all A_127 C_43 B_97 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_127),C_43)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_97),C_43)))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C_43))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_127),B_97)))).
% 114.76/113.60  all A_127 C_43 B_97 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_127),C_43)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_97),C_43)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_43))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_127),B_97)))).
% 114.76/113.60  all A_126 C_42 B_96 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_126),C_42)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_96),C_42)))-> (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_rat,A_126),B_96)))).
% 114.76/113.60  all A_126 C_42 B_96 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_126),C_42)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_96),C_42)))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),C_42))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_126),B_96)))).
% 114.76/113.60  all A_126 C_42 B_96 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_126),C_42)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_96),C_42)))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),C_42))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,A_126),B_96)))).
% 114.76/113.60  all A_126 C_42 B_96 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_126),C_42)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_96),C_42)))-> (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_nat,A_126),B_96)))).
% 114.76/113.60  all A_126 C_42 B_96 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_126),C_42)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_96),C_42)))-> (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_real,A_126),B_96)))).
% 114.76/113.60  all A_126 C_42 B_96 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_126),C_42)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_96),C_42)))-> (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_int,A_126),B_96)))).
% 114.76/113.60  all C_41 D_10 A_125 B_95 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_125),B_95))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,C_41),D_10))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),A_125))-> (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_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_125),C_41)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_95),D_10))))))).
% 114.76/113.60  all C_41 D_10 A_125 B_95 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_125),B_95))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,C_41),D_10))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),A_125))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),C_41))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_125),C_41)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_95),D_10))))))).
% 114.76/113.60  all C_41 D_10 A_125 B_95 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,A_125),B_95))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,C_41),D_10))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),A_125))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),C_41))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_125),C_41)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_95),D_10))))))).
% 114.76/113.61  all C_41 D_10 A_125 B_95 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_125),B_95))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_41),D_10))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_125))-> (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_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_125),C_41)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_95),D_10))))))).
% 114.76/113.61  all C_41 D_10 A_125 B_95 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_125),B_95))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_41),D_10))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_125))-> (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_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_125),C_41)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_95),D_10))))))).
% 114.76/113.61  all C_41 D_10 A_125 B_95 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_125),B_95))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_41),D_10))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_125))-> (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_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_125),C_41)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_95),D_10))))))).
% 114.76/113.61  all C_40 D_9 A_124 B_94 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_124),B_94))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,C_40),D_9))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),A_124))-> (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_124),C_40)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_94),D_9))))))).
% 114.76/113.61  all C_40 D_9 A_124 B_94 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_124),B_94))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,C_40),D_9))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),A_124))-> (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_124),C_40)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_94),D_9))))))).
% 114.76/113.61  all C_40 D_9 A_124 B_94 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,A_124),B_94))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,C_40),D_9))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),A_124))-> (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_124),C_40)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_94),D_9))))))).
% 114.76/113.61  all C_40 D_9 A_124 B_94 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_124),B_94))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_40),D_9))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_124))-> (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_124),C_40)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_94),D_9))))))).
% 114.76/113.61  all C_40 D_9 A_124 B_94 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_124),B_94))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_40),D_9))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_124))-> (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_124),C_40)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_94),D_9))))))).
% 114.76/113.61  all C_40 D_9 A_124 B_94 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_124),B_94))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_40),D_9))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_124))-> (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_124),C_40)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_94),D_9))))))).
% 114.76/113.61  all C_39 D_8 A_123 B_93 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_123),B_93))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,C_39),D_8))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),A_123))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_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,A_123),C_39)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_93),D_8))))))).
% 114.76/113.61  all C_39 D_8 A_123 B_93 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_123),B_93))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,C_39),D_8))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),A_123))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_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,A_123),C_39)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_93),D_8))))))).
% 114.76/113.61  all C_39 D_8 A_123 B_93 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,A_123),B_93))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,C_39),D_8))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),A_123))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),C_39))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_123),C_39)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_93),D_8))))))).
% 114.76/113.61  all C_39 D_8 A_123 B_93 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_123),B_93))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_39),D_8))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_123))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_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,A_123),C_39)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_93),D_8))))))).
% 114.76/113.61  all C_39 D_8 A_123 B_93 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_123),B_93))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_39),D_8))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_123))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_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,A_123),C_39)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_93),D_8))))))).
% 114.76/113.61  all C_39 D_8 A_123 B_93 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_123),B_93))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_39),D_8))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_123))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_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,A_123),C_39)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_93),D_8))))))).
% 114.76/113.61  all C_38 D_7 A_122 B_92 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_122),B_92))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,C_38),D_7))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),B_92))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_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,A_122),C_38)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_92),D_7))))))).
% 114.76/113.61  all C_38 D_7 A_122 B_92 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_122),B_92))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,C_38),D_7))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),B_92))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_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,A_122),C_38)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_92),D_7))))))).
% 114.76/113.61  all C_38 D_7 A_122 B_92 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,A_122),B_92))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,C_38),D_7))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),B_92))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),C_38))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_122),C_38)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_92),D_7))))))).
% 114.76/113.61  all C_38 D_7 A_122 B_92 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_122),B_92))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_38),D_7))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B_92))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_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,A_122),C_38)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_92),D_7))))))).
% 114.76/113.61  all C_38 D_7 A_122 B_92 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_122),B_92))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_38),D_7))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),B_92))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_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,A_122),C_38)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_92),D_7))))))).
% 114.76/113.61  all C_38 D_7 A_122 B_92 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_122),B_92))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_38),D_7))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_92))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_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,A_122),C_38)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_92),D_7))))))).
% 114.76/113.61  all Aa Ba 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),Aa)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C),Ba)))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Ba),Aa)))).
% 114.76/113.61  all Aa Ba 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),Aa)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C),Ba)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Ba),Aa)))).
% 114.76/113.61  all Aa Ba 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),Aa)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),Ba)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Ba),Aa)))).
% 114.76/113.61  all Aa Ba 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),Aa)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C),Ba)))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Aa),Ba)))).
% 114.76/113.61  all Aa Ba 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),Aa)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C),Ba)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba)))).
% 114.76/113.61  all Aa Ba 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),Aa)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),Ba)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),Ba)))).
% 114.76/113.61  all B_91 A_121 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_121),zero_zero_rat))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,B_91),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_121),B_91)),zero_zero_rat)))).
% 114.76/113.61  all B_91 A_121 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_121),zero_z891286103de_int))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,B_91),zero_z891286103de_int))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_121),B_91)),zero_z891286103de_int)))).
% 114.76/113.61  all B_91 A_121 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_121),zero_zero_nat))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_91),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_121),B_91)),zero_zero_nat)))).
% 114.76/113.61  all B_91 A_121 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_121),zero_zero_real))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_91),zero_zero_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_121),B_91)),zero_zero_real)))).
% 114.76/113.61  all B_91 A_121 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_121),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_91),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_121),B_91)),zero_zero_int)))).
% 114.76/113.61  all B_91 A_121 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,A_121),zero_z126310315umeral))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,B_91),zero_z126310315umeral))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_121),B_91)),zero_z126310315umeral)))).
% 114.81/113.61  all B_90 A_120 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_120),zero_zero_rat))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,B_90),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_120),B_90)),zero_zero_rat)))).
% 114.81/113.61  all B_90 A_120 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_120),zero_z891286103de_int))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,B_90),zero_z891286103de_int))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_120),B_90)),zero_z891286103de_int)))).
% 114.81/113.61  all B_90 A_120 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_120),zero_zero_nat))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_90),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_120),B_90)),zero_zero_nat)))).
% 114.81/113.61  all B_90 A_120 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_120),zero_zero_real))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_90),zero_zero_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_120),B_90)),zero_zero_real)))).
% 114.81/113.61  all B_90 A_120 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_120),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_90),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_120),B_90)),zero_zero_int)))).
% 114.81/113.61  all B_90 A_120 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,A_120),zero_z126310315umeral))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,B_90),zero_z126310315umeral))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_120),B_90)),zero_z126310315umeral)))).
% 114.81/113.61  all B_89 C_37 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_rat,B_89),C_37))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,B_89),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_119),C_37))))).
% 114.81/113.61  all B_89 C_37 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_le1860547276de_int,B_89),C_37))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,B_89),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_119),C_37))))).
% 114.81/113.61  all B_89 C_37 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_nat,B_89),C_37))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_89),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_119),C_37))))).
% 114.81/113.61  all B_89 C_37 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_real,B_89),C_37))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_89),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_119),C_37))))).
% 114.81/113.61  all B_89 C_37 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_int,B_89),C_37))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_89),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_119),C_37))))).
% 114.81/113.61  all B_89 C_37 A_119 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),A_119))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,B_89),C_37))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,B_89),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_119),C_37))))).
% 114.81/113.61  all B_88 C_36 A_118 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),A_118))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,B_88),C_36))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,B_88),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_118),C_36))))).
% 114.81/113.61  all B_88 C_36 A_118 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),A_118))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,B_88),C_36))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,B_88),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_118),C_36))))).
% 114.81/113.61  all B_88 C_36 A_118 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_118))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_88),C_36))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_88),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_118),C_36))))).
% 114.81/113.61  all B_88 C_36 A_118 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_118))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_88),C_36))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_88),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_118),C_36))))).
% 114.81/113.61  all B_88 C_36 A_118 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_118))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_88),C_36))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_88),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_118),C_36))))).
% 114.81/113.61  all B_88 C_36 A_118 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),A_118))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,B_88),C_36))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,B_88),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_118),C_36))))).
% 114.81/113.61  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_rat,zero_zero_rat),B_87))->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_117),B_87))))).
% 114.81/113.61  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_le1860547276de_int,zero_z891286103de_int),B_87))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_117),B_87))))).
% 114.81/113.61  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_nat,zero_zero_nat),B_87))->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_117),B_87))))).
% 114.81/113.61  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_real,zero_zero_real),B_87))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_117),B_87))))).
% 114.81/113.61  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_int,zero_zero_int),B_87))->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_117),B_87))))).
% 114.81/113.61  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_le1304079648umeral,zero_z126310315umeral),B_87))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_117),B_87))))).
% 114.81/113.61  all B_86 A_116 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),A_116))-> (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_rat,zero_zero_rat),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_116),B_86))))).
% 114.81/113.61  all B_86 A_116 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),A_116))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),B_86))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_116),B_86))))).
% 114.81/113.61  all B_86 A_116 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_116))-> (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_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_116),B_86))))).
% 114.81/113.61  all B_86 A_116 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_116))-> (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_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_116),B_86))))).
% 114.81/113.61  all B_86 A_116 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_116))-> (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_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_116),B_86))))).
% 114.81/113.61  all B_86 A_116 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),A_116))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),B_86))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_116),B_86))))).
% 114.81/113.61  all Y_20 X_29 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),X_29))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),Y_20))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Y_20),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_20),X_29)),X_29))))).
% 114.81/113.61  all Y_20 X_29 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_29))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Y_20))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_20),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_20),X_29)),X_29))))).
% 114.81/113.61  all Y_20 X_29 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_29))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y_20))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_20),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_20),X_29)),X_29))))).
% 114.81/113.61  all Y_19 X_28 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),X_28))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),Y_19))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Y_19),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_28),Y_19)),X_28))))).
% 114.81/113.61  all Y_19 X_28 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_28))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Y_19))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_19),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_28),Y_19)),X_28))))).
% 114.81/113.61  all Y_19 X_28 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_28))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y_19))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_19),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_28),Y_19)),X_28))))).
% 114.81/113.61  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))).
% 114.81/113.61  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))).
% 114.81/113.61  hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,one_on1645066479umeral),one_on1645066479umeral))).
% 114.81/113.61  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))).
% 114.81/113.61  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))).
% 114.81/113.61  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))).
% 114.81/113.61  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))).
% 114.81/113.61  all N M (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),M))-> (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,M),N)=one_one_int<->M=one_one_int&N=one_one_int)).
% 114.81/113.61  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))).
% 114.81/113.61  all V_9 U_2 Y_18 X_27 A_115 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_27),A_115))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Y_18),A_115))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),U_2))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),V_9))-> (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,U_2),V_9)=one_one_rat->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,U_2),X_27)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,V_9),Y_18))),A_115))))))).
% 114.81/113.61  all V_9 U_2 Y_18 X_27 A_115 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_27),A_115))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_18),A_115))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),U_2))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),V_9))-> (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,U_2),V_9)=one_one_real->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,U_2),X_27)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,V_9),Y_18))),A_115))))))).
% 114.81/113.61  all V_9 U_2 Y_18 X_27 A_115 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_27),A_115))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_18),A_115))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),U_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),V_9))-> (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,U_2),V_9)=one_one_int->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,U_2),X_27)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,V_9),Y_18))),A_115))))))).
% 114.81/113.61  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)))).
% 114.81/113.61  all R_3 Q_1 A_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_2))-> (A_2=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,R_3),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_2),Q_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_3),A_2))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),Q_1))))).
% 114.81/113.61  all R_3 Q_1 A_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_2))-> (A_2=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,R_3),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_2),Q_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),R_3))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Q_1),one_one_int))))).
% 114.81/113.61  all B_1 Q_1 R_3 B_4 Q_6 R_5 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_1),Q_1)),R_3)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_4),Q_6)),R_5)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_4),Q_6)),R_5)),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_3),B_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),R_5))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_4))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_4),B_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Q_6),Q_1)))))))).
% 114.81/113.61  all B_1 Q_6 R_5 Q_1 R_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_1),Q_6)),R_5)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_1),Q_1)),R_3)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,R_3),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_1),R_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_1),R_5))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Q_1),Q_6)))))).
% 114.81/113.61  all B_1 Q_1 R_3 B_4 Q_6 R_5 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_1),Q_1)),R_3)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_4),Q_6)),R_5)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_4),Q_6)),R_5)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_5),B_4))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),R_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_4))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_4),B_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Q_1),Q_6)))))))).
% 114.81/113.61  all B_1 Q_6 R_5 Q_1 R_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_1),Q_6)),R_5)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_1),Q_1)),R_3)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),R_5))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_5),B_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_3),B_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Q_6),Q_1)))))).
% 114.81/113.61  all B_4 Q_6 R_5 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_4),Q_6)),R_5)),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),R_5))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_4))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Q_6),zero_zero_int))))).
% 114.81/113.61  all B_4 Q_6 R_5 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_4),Q_6)),R_5)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_5),B_4))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_4))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Q_6))))).
% 114.81/113.61  all X_1 Y_2 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,X_1),X_1)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Y_2),Y_2))))<->X_1!=zero_zero_rat|Y_2!=zero_zero_rat).
% 114.81/113.61  all X_1 Y_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_1),X_1)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Y_2),Y_2))))<->X_1!=zero_zero_real|Y_2!=zero_zero_real).
% 114.81/113.61  all X_1 Y_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_1),X_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Y_2),Y_2))))<->X_1!=zero_zero_int|Y_2!=zero_zero_int).
% 114.81/113.61  all X_26 Y_17 (-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_26),X_26)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Y_17),Y_17))),zero_zero_rat))).
% 114.81/113.61  all X_26 Y_17 (-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_26),X_26)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Y_17),Y_17))),zero_zero_real))).
% 114.81/113.61  all X_26 Y_17 (-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_26),X_26)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Y_17),Y_17))),zero_zero_int))).
% 114.81/113.61  all X_1 Y_2 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,X_1),X_1)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Y_2),Y_2))),zero_zero_rat))<->X_1=zero_zero_rat&Y_2=zero_zero_rat).
% 114.81/113.61  all X_1 Y_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_1),X_1)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Y_2),Y_2))),zero_zero_real))<->X_1=zero_zero_real&Y_2=zero_zero_real).
% 114.81/113.61  all X_1 Y_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_1),X_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Y_2),Y_2))),zero_zero_int))<->X_1=zero_zero_int&Y_2=zero_zero_int).
% 114.81/113.61  all X_1 Y_2 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,X_1),X_1)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Y_2),Y_2))=zero_zero_rat<->X_1=zero_zero_rat&Y_2=zero_zero_rat).
% 114.81/113.61  all X_1 Y_2 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_1),X_1)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Y_2),Y_2))=zero_zero_real<->X_1=zero_zero_real&Y_2=zero_zero_real).
% 114.81/113.61  all X_1 Y_2 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_1),X_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Y_2),Y_2))=zero_zero_int<->X_1=zero_zero_int&Y_2=zero_zero_int).
% 114.81/113.61  all X_25 Y_16 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_25),X_25)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Y_16),Y_16)))).
% 114.81/113.61  all X_25 Y_16 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_25),X_25)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Y_16),Y_16)))).
% 114.81/113.61  all X_25 Y_16 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_25),X_25)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Y_16),Y_16)))).
% 114.81/113.61  all M_1 R_3 S_2 T_2 N_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),N_1))-> (xzgcd(M_1,N_1)=hAPP_P408881810nt_int(hAPP_i1730167831nt_int(produc282740534nt_int,R_3),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,S_2),T_2))->R_3=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,S_2),M_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,T_2),N_1)))).
% 114.81/113.61  all M_1 N_1 R_5 S_4 S_2 T_3 T_2 Rn Sn_1 Tn_1 R_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),R_3))-> (xzgcda(M_1,N_1,R_5,R_3,S_4,S_2,T_3,T_2)=hAPP_P408881810nt_int(hAPP_i1730167831nt_int(produc282740534nt_int,Rn),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Sn_1),Tn_1))-> (R_5=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,S_4),M_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,T_3),N_1))-> (R_3=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,S_2),M_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,T_2),N_1))->Rn=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Sn_1),M_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Tn_1),N_1)))))).
% 114.81/113.61  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))))).
% 114.81/113.61  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))))).
% 114.81/113.61  all B_1 A_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_2))-> (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_2),B_1)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_1)))).
% 114.81/113.61  hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),one_one_int)).
% 114.81/113.61  all K_1 P_1 D (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D))-> ((all X_2 (hBOOL(hAPP_int_bool(P_1,X_2))->hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_2),D)))))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),K_1))-> (all X_2 (hBOOL(hAPP_int_bool(P_1,X_2))->hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_2),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),D))))))))).
% 114.81/113.61  all K_1 P_1 D (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D))-> ((all X_2 (hBOOL(hAPP_int_bool(P_1,X_2))->hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_2),D)))))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),K_1))-> (all X_2 (hBOOL(hAPP_int_bool(P_1,X_2))->hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_2),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),D))))))))).
% 114.81/113.61  all X_24 Y_15 ((all Z (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),Z))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Z),one_one_rat))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Z),X_24)),Y_15)))))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_24),Y_15))).
% 114.81/113.61  all X_24 Y_15 ((all Z (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Z))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Z),one_one_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Z),X_24)),Y_15)))))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_24),Y_15))).
% 114.81/113.61  all A_2 B_1 Q_1 R_3 (A_2=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_1),Q_1)),R_3)-> ((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),R_3))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_3),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,B_1),R_3))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,R_3),zero_zero_int)))->hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A_2,B_1),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Q_1),R_3))))).
% 114.81/113.61  all M_1 N_1 (xzgcd(M_1,N_1)=xzgcda(M_1,N_1,M_1,N_1,one_one_int,zero_zero_int,zero_zero_int,one_one_int)).
% 114.81/113.61  all B_1 (B_1!=zero_zero_int->hBOOL(hAPP_P603027463t_bool(divmod_int_rel(zero_zero_int,B_1),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,zero_zero_int),zero_zero_int)))).
% 114.81/113.61  all A_2 Q_1 R_3 (hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A_2,A_2),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Q_1),R_3)))-> (A_2!=zero_zero_int->R_3=zero_zero_int)).
% 114.81/113.61  all Q_6 R_5 A_2 B_1 Q_1 R_3 (hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A_2,B_1),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Q_1),R_3)))-> (hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A_2,B_1),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Q_6),R_5)))-> (B_1!=zero_zero_int->Q_1=Q_6))).
% 114.81/113.61  all Q_6 R_5 A_2 B_1 Q_1 R_3 (hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A_2,B_1),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Q_1),R_3)))-> (hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A_2,B_1),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Q_6),R_5)))-> (B_1!=zero_zero_int->R_3=R_5))).
% 114.81/113.61  all A_2 Q_1 R_3 (hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A_2,A_2),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Q_1),R_3)))-> (A_2!=zero_zero_int->Q_1=one_one_int)).
% 114.81/113.61  all P_2 P_1 X_1 ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))-> (hBOOL(P_1)<->hBOOL(P_2)))-> ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))->hBOOL(P_1))<-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))->hBOOL(P_2)))).
% 114.81/113.61  all P_2 P_1 X_1 ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))-> (hBOOL(P_1)<->hBOOL(P_2)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))&hBOOL(P_1)<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))&hBOOL(P_2))).
% 114.81/113.61  hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),zero_zero_int)).
% 114.81/113.61  all X_23 Y_14 ((all E (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),E))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_23),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,Y_14),E)))))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_23),Y_14))).
% 114.81/113.61  all X_23 Y_14 ((all E (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),E))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_23),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Y_14),E)))))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_23),Y_14))).
% 114.81/113.61  all T_8 exists Z all X_2 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_2),Z))-> -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,T_8),X_2))).
% 114.81/113.61  all T_8 exists Z all X_2 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_2),Z))-> -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,T_8),X_2))).
% 114.81/113.61  all T_8 exists Z all X_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_2),Z))-> -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,T_8),X_2))).
% 114.81/113.61  all T_8 exists Z all X_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_2),Z))-> -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,T_8),X_2))).
% 114.81/113.61  all T_8 exists Z all X_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_2),Z))-> -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,T_8),X_2))).
% 114.81/113.61  all T_7 exists Z all X_2 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Z),X_2))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,T_7),X_2))).
% 114.81/113.61  all T_7 exists Z all X_2 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Z),X_2))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,T_7),X_2))).
% 114.81/113.61  all T_7 exists Z all X_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Z),X_2))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,T_7),X_2))).
% 114.81/113.61  all T_7 exists Z all X_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Z),X_2))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,T_7),X_2))).
% 114.81/113.61  all T_7 exists Z all X_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z),X_2))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,T_7),X_2))).
% 114.81/113.61  all T_6 exists Z all X_2 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_2),Z))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_2),T_6))).
% 114.81/113.61  all T_6 exists Z all X_2 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_2),Z))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,X_2),T_6))).
% 114.81/113.61  all T_6 exists Z all X_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_2),Z))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_2),T_6))).
% 114.81/113.61  all T_6 exists Z all X_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_2),Z))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_2),T_6))).
% 114.81/113.61  all T_6 exists Z all X_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_2),Z))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_2),T_6))).
% 114.81/113.61  all T_5 exists Z all X_2 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Z),X_2))-> -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_2),T_5))).
% 114.81/113.61  all T_5 exists Z all X_2 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Z),X_2))-> -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,X_2),T_5))).
% 114.81/113.61  all T_5 exists Z all X_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Z),X_2))-> -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_2),T_5))).
% 114.81/113.61  all T_5 exists Z all X_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Z),X_2))-> -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_2),T_5))).
% 114.81/113.61  all T_5 exists Z all X_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z),X_2))-> -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_2),T_5))).
% 114.81/113.61  all P_1 P1 D (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D))-> ((all X_2 K (hBOOL(hAPP_int_bool(P1,X_2))<->hBOOL(hAPP_int_bool(P1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_2),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K),D))))))-> ((exists Z all X_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_2),Z))-> (hBOOL(hAPP_int_bool(P_1,X_2))<->hBOOL(hAPP_int_bool(P1,X_2)))))-> ((exists X1 hBOOL(hAPP_int_bool(P1,X1)))-> (exists X1 hBOOL(hAPP_int_bool(P_1,X1))))))).
% 114.81/113.61  all P_1 P_2 D (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D))-> ((all X_2 K (hBOOL(hAPP_int_bool(P_2,X_2))<->hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_2),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K),D))))))-> ((exists Z all X_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z),X_2))-> (hBOOL(hAPP_int_bool(P_1,X_2))<->hBOOL(hAPP_int_bool(P_2,X_2)))))-> ((exists X1 hBOOL(hAPP_int_bool(P_2,X1)))-> (exists X1 hBOOL(hAPP_int_bool(P_1,X1))))))).
% 114.81/113.61  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)).
% 114.81/113.61  all N_1 ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,N_1),zero_zero_int))->hAPP_int_int(zfact,N_1)=one_one_int)& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,N_1),zero_zero_int))->hAPP_int_int(zfact,N_1)=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,N_1),hAPP_int_int(zfact,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,N_1),one_one_int))))).
% 114.81/113.61  all X_1 V (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,archim791455193or_rat(X_1)),hAPP_int_int(number_number_of_int,V)))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_1),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_int_rat(number_number_of_rat,V)),one_one_rat)))).
% 114.81/113.61  all X_1 V (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,archim1246769320r_real(X_1)),hAPP_int_int(number_number_of_int,V)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_int_real(number267125858f_real,V)),one_one_real)))).
% 114.81/113.61  archim791455193or_rat(zero_zero_rat)=zero_zero_int.
% 114.81/113.61  archim1246769320r_real(zero_zero_real)=zero_zero_int.
% 114.81/113.61  all X_22 Y_13 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,archim791455193or_rat(X_22)),archim791455193or_rat(Y_13)))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_22),Y_13))).
% 114.81/113.61  all X_22 Y_13 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,archim1246769320r_real(X_22)),archim1246769320r_real(Y_13)))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_22),Y_13))).
% 114.81/113.61  all X_21 Y_12 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_21),Y_12))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,archim791455193or_rat(X_21)),archim791455193or_rat(Y_12)))).
% 114.81/113.61  all X_21 Y_12 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_21),Y_12))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,archim1246769320r_real(X_21)),archim1246769320r_real(Y_12)))).
% 114.81/113.61  archim791455193or_rat(one_one_rat)=one_one_int.
% 114.81/113.61  archim1246769320r_real(one_one_real)=one_one_int.
% 114.81/113.61  all V_8 (archim791455193or_rat(hAPP_int_rat(number_number_of_rat,V_8))=hAPP_int_int(number_number_of_int,V_8)).
% 114.81/113.61  all V_8 (archim1246769320r_real(hAPP_int_real(number267125858f_real,V_8))=hAPP_int_int(number_number_of_int,V_8)).
% 114.81/113.61  all X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,archim791455193or_rat(X_1)),zero_zero_int))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_1),zero_zero_rat))).
% 114.81/113.61  all X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,archim1246769320r_real(X_1)),zero_zero_int))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),zero_zero_real))).
% 114.81/113.61  all X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),archim791455193or_rat(X_1)))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),X_1))).
% 114.81/113.61  all X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),archim1246769320r_real(X_1)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_1))).
% 114.81/113.61  all X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),archim791455193or_rat(X_1)))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,one_one_rat),X_1))).
% 114.81/113.61  all X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),archim1246769320r_real(X_1)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),X_1))).
% 114.81/113.61  all X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,archim791455193or_rat(X_1)),zero_zero_int))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_1),one_one_rat))).
% 114.81/113.61  all X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,archim1246769320r_real(X_1)),zero_zero_int))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),one_one_real))).
% 114.81/113.61  all X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,archim791455193or_rat(X_1)),one_one_int))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_1),one_one_rat))).
% 114.81/113.61  all X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,archim1246769320r_real(X_1)),one_one_int))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),one_one_real))).
% 114.81/113.61  all X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),archim791455193or_rat(X_1)))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,one_one_rat),X_1))).
% 114.81/113.61  all X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),archim1246769320r_real(X_1)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),X_1))).
% 114.81/113.61  all X_1 V (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,archim791455193or_rat(X_1)),hAPP_int_int(number_number_of_int,V)))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_1),hAPP_int_rat(number_number_of_rat,V)))).
% 114.81/113.61  all X_1 V (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,archim1246769320r_real(X_1)),hAPP_int_int(number_number_of_int,V)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),hAPP_int_real(number267125858f_real,V)))).
% 114.81/113.61  all V X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(number_number_of_int,V)),archim791455193or_rat(X_1)))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_int_rat(number_number_of_rat,V)),X_1))).
% 114.81/113.61  all V X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(number_number_of_int,V)),archim1246769320r_real(X_1)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(number267125858f_real,V)),X_1))).
% 114.81/113.61  all X_20 (archim791455193or_rat(hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,X_20),one_one_rat))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,archim791455193or_rat(X_20)),one_one_int)).
% 114.81/113.61  all X_20 (archim1246769320r_real(hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_20),one_one_real))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,archim1246769320r_real(X_20)),one_one_int)).
% 114.81/113.61  all X_19 V_7 (archim791455193or_rat(hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,X_19),hAPP_int_rat(number_number_of_rat,V_7)))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,archim791455193or_rat(X_19)),hAPP_int_int(number_number_of_int,V_7))).
% 114.81/113.61  all X_19 V_7 (archim1246769320r_real(hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_19),hAPP_int_real(number267125858f_real,V_7)))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,archim1246769320r_real(X_19)),hAPP_int_int(number_number_of_int,V_7))).
% 114.81/113.61  all X_18 (archim791455193or_rat(hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,X_18),one_one_rat))=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,archim791455193or_rat(X_18)),one_one_int)).
% 114.81/113.61  all X_18 (archim1246769320r_real(hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X_18),one_one_real))=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,archim1246769320r_real(X_18)),one_one_int)).
% 114.81/113.61  all X_17 V_6 (archim791455193or_rat(hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,X_17),hAPP_int_rat(number_number_of_rat,V_6)))=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,archim791455193or_rat(X_17)),hAPP_int_int(number_number_of_int,V_6))).
% 114.81/113.61  all X_17 V_6 (archim1246769320r_real(hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X_17),hAPP_int_real(number267125858f_real,V_6)))=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,archim1246769320r_real(X_17)),hAPP_int_int(number_number_of_int,V_6))).
% 114.81/113.61  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))))).
% 114.81/113.61  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)).
% 114.81/113.61  all V X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,V)),archim791455193or_rat(X_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_int_rat(number_number_of_rat,V)),one_one_rat)),X_1))).
% 114.81/113.61  all V X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,V)),archim1246769320r_real(X_1)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_int_real(number267125858f_real,V)),one_one_real)),X_1))).
% 114.81/113.61  all B_1 A_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_2))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),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,archim1246769320r_real(A_2)),archim1246769320r_real(B_1))),archim1246769320r_real(hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_2),B_1)))))).
% 114.81/113.61  all B_1 A_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_1))->hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A_2,B_1),posDivAlg(A_2,B_1))))).
% 114.81/113.61  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))))).
% 114.81/113.61  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))).
% 114.81/113.61  all Aa (hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,Aa),ring_1_Ints_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(plus_plus_real,one_one_real),Aa)),Aa)),zero_zero_real))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),zero_zero_real)))).
% 114.81/113.61  all Aa (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Aa),ring_1_Ints_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(plus_plus_int,one_one_int),Aa)),Aa)),zero_zero_int))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),zero_zero_int)))).
% 114.81/113.61  all Aa (hBOOL(hAPP_f311463272l_bool(hAPP_r1889917837l_bool(member_rat,Aa),ring_1_Ints_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(plus_plus_rat,one_one_rat),Aa)),Aa)),zero_zero_rat))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Aa),zero_zero_rat)))).
% 114.81/113.61  all Aa Ba Qa R_2 (hBOOL(hAPP_P603027463t_bool(divmod_int_rel(Aa,Ba),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Qa),R_2)))->hBOOL(hAPP_P603027463t_bool(divmod_int_rel(hAPP_int_int(uminus_uminus_int,Aa),Ba),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,hAPP_int_int(hAPP_int_fun_int_int(hAPP_b1463609396nt_int(if_int,hAPP_int_bool(hAPP_i1948725293t_bool(fe_qual_int,R_2),zero_zero_int)),hAPP_int_int(uminus_uminus_int,Qa)),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(uminus_uminus_int,Qa)),one_one_int))),hAPP_int_int(hAPP_int_fun_int_int(hAPP_b1463609396nt_int(if_int,hAPP_int_bool(hAPP_i1948725293t_bool(fe_qual_int,R_2),zero_zero_int)),zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Ba),R_2)))))).
% 114.81/113.61  all Aa Ba (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),Ba))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Ba),Aa))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Ba),hAPP_i1948725293t_bool(d22set,Aa))))).
% 114.81/113.61  all X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),archim1419379755ng_rat(X_1)))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_int_rat(number_number_of_rat,min)),X_1))).
% 114.81/113.61  all X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),archim856651990g_real(X_1)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(number267125858f_real,min)),X_1))).
% 114.81/113.61  all X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,archim856651990g_real(X_1)),zero_zero_int))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),hAPP_int_real(number267125858f_real,min)))).
% 114.81/113.61  all X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,archim1419379755ng_rat(X_1)),zero_zero_int))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_1),hAPP_int_rat(number_number_of_rat,min)))).
% 114.81/113.61  all P_1 N K_1 (hBOOL(hAPP_int_bool(P_1,hAPP_int_int(div_mod_int(N),K_1)))<-> (K_1=zero_zero_int->hBOOL(hAPP_int_bool(P_1,N)))& (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),K_1))-> (all I_2 J_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),J_1))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,J_1),K_1))&N=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),I_2)),J_1)->hBOOL(hAPP_int_bool(P_1,J_1)))))& (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),zero_zero_int))-> (all I_2 J_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),J_1))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,J_1),zero_zero_int))&N=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),I_2)),J_1)->hBOOL(hAPP_int_bool(P_1,J_1)))))).
% 114.81/113.61  all X_1 Y_2 Z_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Z_2))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_1),Z_2)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Y_2),Z_2)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_2)))).
% 114.81/113.61  all X_1 Y_2 Z_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Z_2))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Z_2),X_1)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Z_2),Y_2)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_2)))).
% 114.81/113.61  all X_1 Y_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_2))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X_1),Y_2)),zero_zero_real))).
% 114.81/113.61  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).
% 114.81/113.61  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).
% 114.81/113.61  all Aa Ba C (C!=zero_zero_real-> (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C),Aa)=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C),Ba)<->Aa=Ba)).
% 114.81/113.61  all Aa Ba C (C!=zero_zero_real-> (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Aa),C)=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Ba),C)<->Aa=Ba)).
% 114.81/113.62  all X_1 Y_2 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_1),X_1)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Y_2),Y_2))=zero_zero_real<->X_1=zero_zero_real&Y_2=zero_zero_real).
% 114.81/113.62  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))))).
% 114.81/113.62  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))))).
% 114.81/113.62  all X_1 Y_2 Z_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Z_2))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_1),Z_2)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Y_2),Z_2)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_2)))).
% 114.81/113.62  zero_zero_real!=one_one_real.
% 114.81/113.62  all A_114 B_85 A_113 (hAPP_int_int(div_mod_int(A_114),B_85)=hAPP_int_int(div_mod_int(A_113),B_85)->hAPP_int_int(div_mod_int(hAPP_int_int(uminus_uminus_int,A_114)),B_85)=hAPP_int_int(div_mod_int(hAPP_int_int(uminus_uminus_int,A_113)),B_85)).
% 114.81/113.62  all A_112 B_84 (hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(div_mo231679042de_int(A_112),B_84)),B_84)=hAPP_Q1762011733de_int(div_mo231679042de_int(A_112),B_84)).
% 114.81/113.62  all A_112 B_84 (hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(div_mo1740067990umeral(A_112),B_84)),B_84)=hAPP_C498520661umeral(div_mo1740067990umeral(A_112),B_84)).
% 114.81/113.62  all A_112 B_84 (hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(div_mod_nat(A_112),B_84)),B_84)=hAPP_nat_nat(div_mod_nat(A_112),B_84)).
% 114.81/113.62  all A_112 B_84 (hAPP_int_int(div_mod_int(hAPP_int_int(div_mod_int(A_112),B_84)),B_84)=hAPP_int_int(div_mod_int(A_112),B_84)).
% 114.81/113.62  all X M_1 (hAPP_int_int(div_mod_int(hAPP_int_int(uminus_uminus_int,hAPP_int_int(div_mod_int(X),M_1))),M_1)=hAPP_int_int(div_mod_int(hAPP_int_int(uminus_uminus_int,X)),M_1)).
% 114.81/113.62  all A_2 B_1 (hAPP_int_int(div_mod_int(hAPP_int_int(uminus_uminus_int,A_2)),hAPP_int_int(uminus_uminus_int,B_1))=hAPP_int_int(uminus_uminus_int,hAPP_int_int(div_mod_int(A_2),B_1))).
% 114.81/113.62  all A_111 B_83 (hAPP_int_int(div_mod_int(hAPP_int_int(uminus_uminus_int,A_111)),B_83)=hAPP_int_int(div_mod_int(hAPP_int_int(uminus_uminus_int,hAPP_int_int(div_mod_int(A_111),B_83))),B_83)).
% 114.81/113.62  all A_2 B_1 (hAPP_int_int(div_mod_int(A_2),hAPP_int_int(uminus_uminus_int,B_1))=hAPP_int_int(uminus_uminus_int,hAPP_int_int(div_mod_int(hAPP_int_int(uminus_uminus_int,A_2)),B_1))).
% 114.81/113.62  all W_7 (hAPP_rat_rat(uminus_uminus_rat,hAPP_int_rat(number_number_of_rat,W_7))=hAPP_int_rat(number_number_of_rat,hAPP_int_int(uminus_uminus_int,W_7))).
% 114.81/113.62  all W_7 (hAPP_complex_complex(uminus473333897omplex,hAPP_int_complex(number528085621omplex,W_7))=hAPP_int_complex(number528085621omplex,hAPP_int_int(uminus_uminus_int,W_7))).
% 114.81/113.62  all W_7 (hAPP_real_real(uminus_uminus_real,hAPP_int_real(number267125858f_real,W_7))=hAPP_int_real(number267125858f_real,hAPP_int_int(uminus_uminus_int,W_7))).
% 114.81/113.62  all W_7 (hAPP_int_int(uminus_uminus_int,hAPP_int_int(number_number_of_int,W_7))=hAPP_int_int(number_number_of_int,hAPP_int_int(uminus_uminus_int,W_7))).
% 114.81/113.62  all W_6 (hAPP_int_rat(number_number_of_rat,hAPP_int_int(uminus_uminus_int,W_6))=hAPP_rat_rat(uminus_uminus_rat,hAPP_int_rat(number_number_of_rat,W_6))).
% 114.81/113.62  all W_6 (hAPP_int_complex(number528085621omplex,hAPP_int_int(uminus_uminus_int,W_6))=hAPP_complex_complex(uminus473333897omplex,hAPP_int_complex(number528085621omplex,W_6))).
% 114.81/113.62  all W_6 (hAPP_int_real(number267125858f_real,hAPP_int_int(uminus_uminus_int,W_6))=hAPP_real_real(uminus_uminus_real,hAPP_int_real(number267125858f_real,W_6))).
% 114.81/113.62  all W_6 (hAPP_int_int(number_number_of_int,hAPP_int_int(uminus_uminus_int,W_6))=hAPP_int_int(uminus_uminus_int,hAPP_int_int(number_number_of_int,W_6))).
% 114.81/113.62  min=hAPP_int_int(uminus_uminus_int,one_one_int).
% 114.81/113.62  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)).
% 114.81/113.62  all W hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,W),W)).
% 114.81/113.62  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))).
% 114.81/113.62  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)))).
% 114.81/113.62  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)))).
% 114.81/113.62  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)).
% 114.81/113.62  all A_110 hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(uminus_uminus_rat,A_110)),hAPP_rat_rat(abs_abs_rat,A_110))).
% 114.81/113.62  all A_110 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(uminus_uminus_real,A_110)),hAPP_real_real(abs_abs_real,A_110))).
% 114.81/113.62  all A_110 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(uminus_uminus_int,A_110)),hAPP_int_int(abs_abs_int,A_110))).
% 114.81/113.62  all Aa Ba (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(abs_abs_rat,Aa)),Ba))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Aa),Ba))&hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(uminus_uminus_rat,Aa)),Ba))).
% 114.81/113.62  all Aa Ba (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,Aa)),Ba))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(uminus_uminus_real,Aa)),Ba))).
% 114.81/113.62  all Aa Ba (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(abs_abs_int,Aa)),Ba))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),Ba))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(uminus_uminus_int,Aa)),Ba))).
% 114.81/113.62  all A_109 B_82 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_109),B_82))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(uminus_uminus_rat,A_109)),B_82))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(abs_abs_rat,A_109)),B_82)))).
% 114.81/113.62  all A_109 B_82 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_109),B_82))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(uminus_uminus_real,A_109)),B_82))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,A_109)),B_82)))).
% 114.81/113.62  all A_109 B_82 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_109),B_82))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(uminus_uminus_int,A_109)),B_82))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(abs_abs_int,A_109)),B_82)))).
% 114.81/113.62  all A_108 B_81 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(abs_abs_rat,A_108)),B_81))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(uminus_uminus_rat,A_108)),B_81))).
% 114.81/113.62  all A_108 B_81 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,A_108)),B_81))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(uminus_uminus_real,A_108)),B_81))).
% 114.81/113.62  all A_108 B_81 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(abs_abs_int,A_108)),B_81))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(uminus_uminus_int,A_108)),B_81))).
% 114.81/113.62  all Aa (hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,Aa),ring_1_Ints_real))->hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,hAPP_real_real(uminus_uminus_real,Aa)),ring_1_Ints_real))).
% 114.81/113.62  all Aa (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Aa),ring_1_Ints_int))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(uminus_uminus_int,Aa)),ring_1_Ints_int))).
% 114.81/113.62  all Aa (hBOOL(hAPP_f311463272l_bool(hAPP_r1889917837l_bool(member_rat,Aa),ring_1_Ints_rat))->hBOOL(hAPP_f311463272l_bool(hAPP_r1889917837l_bool(member_rat,hAPP_rat_rat(uminus_uminus_rat,Aa)),ring_1_Ints_rat))).
% 114.81/113.62  all Aa (hBOOL(hAPP_f1734966846l_bool(hAPP_c769186317l_bool(member_complex,Aa),ring_1_Ints_complex))->hBOOL(hAPP_f1734966846l_bool(hAPP_c769186317l_bool(member_complex,hAPP_complex_complex(uminus473333897omplex,Aa)),ring_1_Ints_complex))).
% 114.81/113.62  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))).
% 114.81/113.62  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))).
% 114.81/113.62  all Aa Ba (hAPP_rat_rat(uminus_uminus_rat,Aa)=hAPP_rat_rat(uminus_uminus_rat,Ba)<->Aa=Ba).
% 114.81/113.62  all Aa Ba (hAPP_complex_complex(uminus473333897omplex,Aa)=hAPP_complex_complex(uminus473333897omplex,Ba)<->Aa=Ba).
% 114.81/113.62  all Aa Ba (hAPP_real_real(uminus_uminus_real,Aa)=hAPP_real_real(uminus_uminus_real,Ba)<->Aa=Ba).
% 114.81/113.62  all Aa Ba (hAPP_int_int(uminus_uminus_int,Aa)=hAPP_int_int(uminus_uminus_int,Ba)<->Aa=Ba).
% 114.81/113.62  all Aa Ba (hAPP_rat_rat(uminus_uminus_rat,Aa)=Ba<->hAPP_rat_rat(uminus_uminus_rat,Ba)=Aa).
% 114.81/113.62  all Aa Ba (hAPP_complex_complex(uminus473333897omplex,Aa)=Ba<->hAPP_complex_complex(uminus473333897omplex,Ba)=Aa).
% 114.81/113.62  all Aa Ba (hAPP_real_real(uminus_uminus_real,Aa)=Ba<->hAPP_real_real(uminus_uminus_real,Ba)=Aa).
% 114.81/113.62  all Aa Ba (hAPP_int_int(uminus_uminus_int,Aa)=Ba<->hAPP_int_int(uminus_uminus_int,Ba)=Aa).
% 114.81/113.62  all Aa Ba (Aa=hAPP_rat_rat(uminus_uminus_rat,Ba)<->Ba=hAPP_rat_rat(uminus_uminus_rat,Aa)).
% 114.81/113.62  all Aa Ba (Aa=hAPP_complex_complex(uminus473333897omplex,Ba)<->Ba=hAPP_complex_complex(uminus473333897omplex,Aa)).
% 114.81/113.62  all Aa Ba (Aa=hAPP_real_real(uminus_uminus_real,Ba)<->Ba=hAPP_real_real(uminus_uminus_real,Aa)).
% 114.81/113.62  all Aa Ba (Aa=hAPP_int_int(uminus_uminus_int,Ba)<->Ba=hAPP_int_int(uminus_uminus_int,Aa)).
% 114.81/113.62  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)).
% 114.81/113.62  all A_107 (hAPP_rat_rat(abs_abs_rat,hAPP_rat_rat(uminus_uminus_rat,A_107))=hAPP_rat_rat(abs_abs_rat,A_107)).
% 114.81/113.62  all A_107 (hAPP_real_real(abs_abs_real,hAPP_real_real(uminus_uminus_real,A_107))=hAPP_real_real(abs_abs_real,A_107)).
% 114.81/113.62  all A_107 (hAPP_int_int(abs_abs_int,hAPP_int_int(uminus_uminus_int,A_107))=hAPP_int_int(abs_abs_int,A_107)).
% 114.81/113.62  all A_106 (hAPP_rat_rat(abs_abs_rat,hAPP_rat_rat(abs_abs_rat,A_106))=hAPP_rat_rat(abs_abs_rat,A_106)).
% 114.81/113.62  all A_106 (hAPP_real_real(abs_abs_real,hAPP_real_real(abs_abs_real,A_106))=hAPP_real_real(abs_abs_real,A_106)).
% 114.81/113.62  all A_106 (hAPP_int_int(abs_abs_int,hAPP_int_int(abs_abs_int,A_106))=hAPP_int_int(abs_abs_int,A_106)).
% 114.81/113.62  all Z_1 (hAPP_int_int(uminus_uminus_int,hAPP_int_int(uminus_uminus_int,Z_1))=Z_1).
% 114.81/113.62  all A_105 (hAPP_rat_rat(uminus_uminus_rat,hAPP_rat_rat(uminus_uminus_rat,A_105))=A_105).
% 114.81/113.62  all A_105 (hAPP_complex_complex(uminus473333897omplex,hAPP_complex_complex(uminus473333897omplex,A_105))=A_105).
% 114.81/113.62  all A_105 (hAPP_real_real(uminus_uminus_real,hAPP_real_real(uminus_uminus_real,A_105))=A_105).
% 114.81/113.62  all A_105 (hAPP_int_int(uminus_uminus_int,hAPP_int_int(uminus_uminus_int,A_105))=A_105).
% 114.81/113.62  all Z_1 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,one_one_real),Z_1)=Z_1).
% 114.81/113.62  all Aa Ba (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(abs_abs_rat,Aa)),Ba))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Aa),Ba))&hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(uminus_uminus_rat,Aa)),Ba))).
% 114.81/113.62  all Aa Ba (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(abs_abs_real,Aa)),Ba))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(uminus_uminus_real,Aa)),Ba))).
% 114.81/113.62  all Aa Ba (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(abs_abs_int,Aa)),Ba))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),Ba))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(uminus_uminus_int,Aa)),Ba))).
% 114.81/113.62  all X_1 Y_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_2))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_2))|X_1=Y_2).
% 114.81/113.62  all X_1 Y_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_2))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_2))&X_1!=Y_2).
% 114.81/113.62  all A_104 hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(uminus_uminus_rat,hAPP_rat_rat(abs_abs_rat,A_104))),zero_zero_rat)).
% 114.81/113.62  all A_104 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(uminus_uminus_real,hAPP_real_real(abs_abs_real,A_104))),zero_zero_real)).
% 114.81/113.62  all A_104 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(uminus_uminus_int,hAPP_int_int(abs_abs_int,A_104))),zero_zero_int)).
% 114.81/113.62  all A_103 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_103),zero_zero_rat))->hAPP_rat_rat(abs_abs_rat,A_103)=hAPP_rat_rat(uminus_uminus_rat,A_103)).
% 114.81/113.62  all A_103 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_103),zero_zero_real))->hAPP_real_real(abs_abs_real,A_103)=hAPP_real_real(uminus_uminus_real,A_103)).
% 114.81/113.62  all A_103 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_103),zero_zero_int))->hAPP_int_int(abs_abs_int,A_103)=hAPP_int_int(uminus_uminus_int,A_103)).
% 114.81/113.62  all A_102 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_102),zero_zero_rat))->hAPP_rat_rat(abs_abs_rat,A_102)=hAPP_rat_rat(uminus_uminus_rat,A_102)).
% 114.81/113.62  all A_102 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_102),zero_zero_real))->hAPP_real_real(abs_abs_real,A_102)=hAPP_real_real(uminus_uminus_real,A_102)).
% 114.81/113.62  all A_102 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_102),zero_zero_int))->hAPP_int_int(abs_abs_int,A_102)=hAPP_int_int(uminus_uminus_int,A_102)).
% 114.81/113.62  all A_101 ((hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_101),zero_zero_rat))->hAPP_rat_rat(abs_abs_rat,A_101)=hAPP_rat_rat(uminus_uminus_rat,A_101))& (-hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_101),zero_zero_rat))->hAPP_rat_rat(abs_abs_rat,A_101)=A_101)).
% 114.81/113.62  all A_101 ((hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_101),zero_zero_real))->hAPP_real_real(abs_abs_real,A_101)=hAPP_real_real(uminus_uminus_real,A_101))& (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_101),zero_zero_real))->hAPP_real_real(abs_abs_real,A_101)=A_101)).
% 114.81/113.62  all A_101 ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_101),zero_zero_int))->hAPP_int_int(abs_abs_int,A_101)=hAPP_int_int(uminus_uminus_int,A_101))& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_101),zero_zero_int))->hAPP_int_int(abs_abs_int,A_101)=A_101)).
% 114.81/113.62  hAPP_rat_rat(abs_abs_rat,hAPP_int_rat(number_number_of_rat,min))=one_one_rat.
% 114.81/113.62  hAPP_real_real(abs_abs_real,hAPP_int_real(number267125858f_real,min))=one_one_real.
% 114.81/113.62  hAPP_int_int(abs_abs_int,hAPP_int_int(number_number_of_int,min))=one_one_int.
% 114.81/113.62  all W_5 Z_9 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(uminus_uminus_rat,hAPP_int_rat(number_number_of_rat,W_5))),Z_9)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_int_rat(number_number_of_rat,hAPP_int_int(uminus_uminus_int,W_5))),Z_9)).
% 114.81/113.62  all W_5 Z_9 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(uminus473333897omplex,hAPP_int_complex(number528085621omplex,W_5))),Z_9)=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_int_complex(number528085621omplex,hAPP_int_int(uminus_uminus_int,W_5))),Z_9)).
% 114.81/113.62  all W_5 Z_9 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(uminus_uminus_real,hAPP_int_real(number267125858f_real,W_5))),Z_9)=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,hAPP_int_int(uminus_uminus_int,W_5))),Z_9)).
% 114.81/113.62  all W_5 Z_9 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(uminus_uminus_int,hAPP_int_int(number_number_of_int,W_5))),Z_9)=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(uminus_uminus_int,W_5))),Z_9)).
% 114.81/113.62  all Z_8 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_int_rat(number_number_of_rat,min)),Z_8)=hAPP_rat_rat(uminus_uminus_rat,Z_8)).
% 114.81/113.62  all Z_8 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_int_complex(number528085621omplex,min)),Z_8)=hAPP_complex_complex(uminus473333897omplex,Z_8)).
% 114.81/113.62  all Z_8 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,min)),Z_8)=hAPP_real_real(uminus_uminus_real,Z_8)).
% 114.81/113.62  all Z_8 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,min)),Z_8)=hAPP_int_int(uminus_uminus_int,Z_8)).
% 114.81/113.62  all Z_7 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Z_7),hAPP_int_rat(number_number_of_rat,min))=hAPP_rat_rat(uminus_uminus_rat,Z_7)).
% 114.81/113.62  all Z_7 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Z_7),hAPP_int_complex(number528085621omplex,min))=hAPP_complex_complex(uminus473333897omplex,Z_7)).
% 114.81/113.62  all Z_7 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Z_7),hAPP_int_real(number267125858f_real,min))=hAPP_real_real(uminus_uminus_real,Z_7)).
% 114.81/113.62  all Z_7 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Z_7),hAPP_int_int(number_number_of_int,min))=hAPP_int_int(uminus_uminus_int,Z_7)).
% 114.81/113.62  hAPP_int_rat(number_number_of_rat,min)=hAPP_rat_rat(uminus_uminus_rat,one_one_rat).
% 114.81/113.62  hAPP_int_complex(number528085621omplex,min)=hAPP_complex_complex(uminus473333897omplex,one_one_complex).
% 114.81/113.62  hAPP_int_real(number267125858f_real,min)=hAPP_real_real(uminus_uminus_real,one_one_real).
% 114.81/113.62  hAPP_int_int(number_number_of_int,min)=hAPP_int_int(uminus_uminus_int,one_one_int).
% 114.81/113.62  hAPP_rat_rat(uminus_uminus_rat,one_one_rat)=hAPP_int_rat(number_number_of_rat,min).
% 114.81/113.62  hAPP_complex_complex(uminus473333897omplex,one_one_complex)=hAPP_int_complex(number528085621omplex,min).
% 114.81/113.62  hAPP_real_real(uminus_uminus_real,one_one_real)=hAPP_int_real(number267125858f_real,min).
% 114.81/113.62  hAPP_int_int(uminus_uminus_int,one_one_int)=hAPP_int_int(number_number_of_int,min).
% 114.81/113.62  all 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)).
% 114.81/113.62  all A_2 (hAPP_int_int(div_mod_int(A_2),hAPP_int_int(number_number_of_int,min))=zero_zero_int).
% 114.81/113.62  all A_2 B_1 ((hAPP_int_int(div_mod_int(A_2),B_1)=zero_zero_int->hAPP_int_int(div_mod_int(hAPP_int_int(uminus_uminus_int,A_2)),B_1)=zero_zero_int)& (hAPP_int_int(div_mod_int(A_2),B_1)!=zero_zero_int->hAPP_int_int(div_mod_int(hAPP_int_int(uminus_uminus_int,A_2)),B_1)=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,B_1),hAPP_int_int(div_mod_int(A_2),B_1)))).
% 114.81/113.62  all A_2 B_1 ((hAPP_int_int(div_mod_int(A_2),B_1)=zero_zero_int->hAPP_int_int(div_mod_int(A_2),hAPP_int_int(uminus_uminus_int,B_1))=zero_zero_int)& (hAPP_int_int(div_mod_int(A_2),B_1)!=zero_zero_int->hAPP_int_int(div_mod_int(A_2),hAPP_int_int(uminus_uminus_int,B_1))=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(div_mod_int(A_2),B_1)),B_1))).
% 114.81/113.62  all 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)).
% 114.81/113.62  all A_100 (hAPP_Q1762011733de_int(div_mo231679042de_int(zero_z891286103de_int),A_100)=zero_z891286103de_int).
% 114.81/113.62  all A_100 (hAPP_C498520661umeral(div_mo1740067990umeral(zero_z126310315umeral),A_100)=zero_z126310315umeral).
% 114.81/113.62  all A_100 (hAPP_nat_nat(div_mod_nat(zero_zero_nat),A_100)=zero_zero_nat).
% 114.81/113.62  all A_100 (hAPP_int_int(div_mod_int(zero_zero_int),A_100)=zero_zero_int).
% 114.81/113.62  all A_99 (hAPP_Q1762011733de_int(div_mo231679042de_int(A_99),zero_z891286103de_int)=A_99).
% 114.81/113.62  all A_99 (hAPP_C498520661umeral(div_mo1740067990umeral(A_99),zero_z126310315umeral)=A_99).
% 114.81/113.62  all A_99 (hAPP_nat_nat(div_mod_nat(A_99),zero_zero_nat)=A_99).
% 114.81/113.62  all A_99 (hAPP_int_int(div_mod_int(A_99),zero_zero_int)=A_99).
% 114.81/113.62  all A_98 (hAPP_Q1762011733de_int(div_mo231679042de_int(A_98),A_98)=zero_z891286103de_int).
% 114.81/113.62  all A_98 (hAPP_C498520661umeral(div_mo1740067990umeral(A_98),A_98)=zero_z126310315umeral).
% 114.81/113.62  all A_98 (hAPP_nat_nat(div_mod_nat(A_98),A_98)=zero_zero_nat).
% 114.81/113.62  all A_98 (hAPP_int_int(div_mod_int(A_98),A_98)=zero_zero_int).
% 114.81/113.62  all Aa (hAPP_rat_rat(abs_abs_rat,Aa)=zero_zero_rat<->Aa=zero_zero_rat).
% 114.81/113.62  all Aa (hAPP_real_real(abs_abs_real,Aa)=zero_zero_real<->Aa=zero_zero_real).
% 114.81/113.62  all Aa (hAPP_int_int(abs_abs_int,Aa)=zero_zero_int<->Aa=zero_zero_int).
% 114.81/113.62  hAPP_rat_rat(abs_abs_rat,zero_zero_rat)=zero_zero_rat.
% 114.81/113.62  hAPP_real_real(abs_abs_real,zero_zero_real)=zero_zero_real.
% 114.81/113.62  hAPP_int_int(abs_abs_int,zero_zero_int)=zero_zero_int.
% 114.81/113.62  all A_97 B_80 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(abs_abs_rat,A_97)),B_80))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_97),B_80))).
% 114.81/113.62  all A_97 B_80 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,A_97)),B_80))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_97),B_80))).
% 114.81/113.62  all A_97 B_80 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(abs_abs_int,A_97)),B_80))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_97),B_80))).
% 114.81/113.62  all A_96 hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_96),hAPP_rat_rat(abs_abs_rat,A_96))).
% 114.81/113.62  all A_96 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_96),hAPP_real_real(abs_abs_real,A_96))).
% 114.81/113.62  all A_96 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_96),hAPP_int_int(abs_abs_int,A_96))).
% 114.81/113.62  all B_79 B_78 A_95 C_35 A_94 (hAPP_Q1762011733de_int(div_mo231679042de_int(A_95),C_35)=hAPP_Q1762011733de_int(div_mo231679042de_int(A_94),C_35)-> (hAPP_Q1762011733de_int(div_mo231679042de_int(B_79),C_35)=hAPP_Q1762011733de_int(div_mo231679042de_int(B_78),C_35)->hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_95),B_79)),C_35)=hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_94),B_78)),C_35))).
% 114.81/113.62  all B_79 B_78 A_95 C_35 A_94 (hAPP_C498520661umeral(div_mo1740067990umeral(A_95),C_35)=hAPP_C498520661umeral(div_mo1740067990umeral(A_94),C_35)-> (hAPP_C498520661umeral(div_mo1740067990umeral(B_79),C_35)=hAPP_C498520661umeral(div_mo1740067990umeral(B_78),C_35)->hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_95),B_79)),C_35)=hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_94),B_78)),C_35))).
% 114.81/113.62  all B_79 B_78 A_95 C_35 A_94 (hAPP_nat_nat(div_mod_nat(A_95),C_35)=hAPP_nat_nat(div_mod_nat(A_94),C_35)-> (hAPP_nat_nat(div_mod_nat(B_79),C_35)=hAPP_nat_nat(div_mod_nat(B_78),C_35)->hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_95),B_79)),C_35)=hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_94),B_78)),C_35))).
% 114.81/113.62  all B_79 B_78 A_95 C_35 A_94 (hAPP_int_int(div_mod_int(A_95),C_35)=hAPP_int_int(div_mod_int(A_94),C_35)-> (hAPP_int_int(div_mod_int(B_79),C_35)=hAPP_int_int(div_mod_int(B_78),C_35)->hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_95),B_79)),C_35)=hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_94),B_78)),C_35))).
% 114.81/113.62  all A_93 C_34 B_77 (hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_Q1762011733de_int(div_mo231679042de_int(A_93),C_34)),B_77)),C_34)=hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_93),B_77)),C_34)).
% 114.81/113.62  all A_93 C_34 B_77 (hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_C498520661umeral(div_mo1740067990umeral(A_93),C_34)),B_77)),C_34)=hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_93),B_77)),C_34)).
% 114.81/113.62  all A_93 C_34 B_77 (hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(div_mod_nat(A_93),C_34)),B_77)),C_34)=hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_93),B_77)),C_34)).
% 114.81/113.62  all A_93 C_34 B_77 (hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(div_mod_int(A_93),C_34)),B_77)),C_34)=hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_93),B_77)),C_34)).
% 114.81/113.62  all A_92 C_33 B_76 (hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_92),C_33)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_76),C_33))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_Q1762011733de_int(div_mo231679042de_int(A_92),B_76)),C_33)).
% 114.81/113.62  all A_92 C_33 B_76 (hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_92),C_33)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_76),C_33))=hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_C498520661umeral(div_mo1740067990umeral(A_92),B_76)),C_33)).
% 114.81/113.62  all A_92 C_33 B_76 (hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_92),C_33)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_76),C_33))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(div_mod_nat(A_92),B_76)),C_33)).
% 114.81/113.62  all A_92 C_33 B_76 (hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_92),C_33)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_76),C_33))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(div_mod_int(A_92),B_76)),C_33)).
% 114.81/113.62  all C_32 A_91 B_75 (hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_32),A_91)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_32),B_75))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_32),hAPP_Q1762011733de_int(div_mo231679042de_int(A_91),B_75))).
% 114.81/113.62  all C_32 A_91 B_75 (hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_32),A_91)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_32),B_75))=hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_32),hAPP_C498520661umeral(div_mo1740067990umeral(A_91),B_75))).
% 114.81/113.62  all C_32 A_91 B_75 (hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_32),A_91)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_32),B_75))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_32),hAPP_nat_nat(div_mod_nat(A_91),B_75))).
% 114.81/113.62  all C_32 A_91 B_75 (hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_32),A_91)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_32),B_75))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_32),hAPP_int_int(div_mod_int(A_91),B_75))).
% 114.81/113.62  all A_90 B_74 C_31 (hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_90),B_74)),C_31)=hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_Q1762011733de_int(div_mo231679042de_int(A_90),C_31)),hAPP_Q1762011733de_int(div_mo231679042de_int(B_74),C_31))),C_31)).
% 114.81/113.62  all A_90 B_74 C_31 (hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_90),B_74)),C_31)=hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_C498520661umeral(div_mo1740067990umeral(A_90),C_31)),hAPP_C498520661umeral(div_mo1740067990umeral(B_74),C_31))),C_31)).
% 114.81/113.62  all A_90 B_74 C_31 (hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_90),B_74)),C_31)=hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(div_mod_nat(A_90),C_31)),hAPP_nat_nat(div_mod_nat(B_74),C_31))),C_31)).
% 114.81/113.62  all A_90 B_74 C_31 (hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_90),B_74)),C_31)=hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(div_mod_int(A_90),C_31)),hAPP_int_int(div_mod_int(B_74),C_31))),C_31)).
% 114.81/113.62  all A_89 B_73 C_30 (hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_89),B_73)),C_30)=hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_Q1762011733de_int(div_mo231679042de_int(A_89),C_30)),B_73)),C_30)).
% 114.81/113.62  all A_89 B_73 C_30 (hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_89),B_73)),C_30)=hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_C498520661umeral(div_mo1740067990umeral(A_89),C_30)),B_73)),C_30)).
% 114.81/113.62  all A_89 B_73 C_30 (hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_89),B_73)),C_30)=hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(div_mod_nat(A_89),C_30)),B_73)),C_30)).
% 114.81/113.62  all A_89 B_73 C_30 (hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_89),B_73)),C_30)=hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(div_mod_int(A_89),C_30)),B_73)),C_30)).
% 114.81/113.62  all A_88 B_72 C_29 (hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_88),B_72)),C_29)=hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_88),hAPP_Q1762011733de_int(div_mo231679042de_int(B_72),C_29))),C_29)).
% 114.81/113.62  all A_88 B_72 C_29 (hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_88),B_72)),C_29)=hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_88),hAPP_C498520661umeral(div_mo1740067990umeral(B_72),C_29))),C_29)).
% 114.81/113.62  all A_88 B_72 C_29 (hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_88),B_72)),C_29)=hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_88),hAPP_nat_nat(div_mod_nat(B_72),C_29))),C_29)).
% 114.81/113.62  all A_88 B_72 C_29 (hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_88),B_72)),C_29)=hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_88),hAPP_int_int(div_mod_int(B_72),C_29))),C_29)).
% 114.81/113.62  all B_71 B_70 A_87 C_28 A_86 (hAPP_Q1762011733de_int(div_mo231679042de_int(A_87),C_28)=hAPP_Q1762011733de_int(div_mo231679042de_int(A_86),C_28)-> (hAPP_Q1762011733de_int(div_mo231679042de_int(B_71),C_28)=hAPP_Q1762011733de_int(div_mo231679042de_int(B_70),C_28)->hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_87),B_71)),C_28)=hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_86),B_70)),C_28))).
% 114.81/113.62  all B_71 B_70 A_87 C_28 A_86 (hAPP_C498520661umeral(div_mo1740067990umeral(A_87),C_28)=hAPP_C498520661umeral(div_mo1740067990umeral(A_86),C_28)-> (hAPP_C498520661umeral(div_mo1740067990umeral(B_71),C_28)=hAPP_C498520661umeral(div_mo1740067990umeral(B_70),C_28)->hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_87),B_71)),C_28)=hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_86),B_70)),C_28))).
% 114.81/113.62  all B_71 B_70 A_87 C_28 A_86 (hAPP_nat_nat(div_mod_nat(A_87),C_28)=hAPP_nat_nat(div_mod_nat(A_86),C_28)-> (hAPP_nat_nat(div_mod_nat(B_71),C_28)=hAPP_nat_nat(div_mod_nat(B_70),C_28)->hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_87),B_71)),C_28)=hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_86),B_70)),C_28))).
% 114.81/113.62  all B_71 B_70 A_87 C_28 A_86 (hAPP_int_int(div_mod_int(A_87),C_28)=hAPP_int_int(div_mod_int(A_86),C_28)-> (hAPP_int_int(div_mod_int(B_71),C_28)=hAPP_int_int(div_mod_int(B_70),C_28)->hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_87),B_71)),C_28)=hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_86),B_70)),C_28))).
% 114.81/113.62  all A_85 C_27 B_69 (hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(div_mo231679042de_int(A_85),C_27)),B_69)),C_27)=hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_85),B_69)),C_27)).
% 114.81/113.62  all A_85 C_27 B_69 (hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,hAPP_C498520661umeral(div_mo1740067990umeral(A_85),C_27)),B_69)),C_27)=hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_85),B_69)),C_27)).
% 114.81/113.62  all A_85 C_27 B_69 (hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(div_mod_nat(A_85),C_27)),B_69)),C_27)=hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_85),B_69)),C_27)).
% 114.81/113.62  all A_85 C_27 B_69 (hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(div_mod_int(A_85),C_27)),B_69)),C_27)=hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_85),B_69)),C_27)).
% 114.81/113.62  all A_84 B_68 C_26 (hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_84),hAPP_Q1762011733de_int(div_mo231679042de_int(B_68),C_26))),C_26)=hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_84),B_68)),C_26)).
% 114.81/113.62  all A_84 B_68 C_26 (hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_84),hAPP_C498520661umeral(div_mo1740067990umeral(B_68),C_26))),C_26)=hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_84),B_68)),C_26)).
% 114.81/113.62  all A_84 B_68 C_26 (hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_84),hAPP_nat_nat(div_mod_nat(B_68),C_26))),C_26)=hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_84),B_68)),C_26)).
% 114.81/113.62  all A_84 B_68 C_26 (hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_84),hAPP_int_int(div_mod_int(B_68),C_26))),C_26)=hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_84),B_68)),C_26)).
% 114.81/113.62  all A_83 B_67 C_25 (hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_83),B_67)),C_25)=hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(div_mo231679042de_int(A_83),C_25)),hAPP_Q1762011733de_int(div_mo231679042de_int(B_67),C_25))),C_25)).
% 114.81/113.62  all A_83 B_67 C_25 (hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_83),B_67)),C_25)=hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,hAPP_C498520661umeral(div_mo1740067990umeral(A_83),C_25)),hAPP_C498520661umeral(div_mo1740067990umeral(B_67),C_25))),C_25)).
% 114.81/113.62  all A_83 B_67 C_25 (hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_83),B_67)),C_25)=hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(div_mod_nat(A_83),C_25)),hAPP_nat_nat(div_mod_nat(B_67),C_25))),C_25)).
% 114.81/113.62  all A_83 B_67 C_25 (hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_83),B_67)),C_25)=hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(div_mod_int(A_83),C_25)),hAPP_int_int(div_mod_int(B_67),C_25))),C_25)).
% 114.81/113.62  all A_82 B_66 C_24 (hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_82),B_66)),C_24)=hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(div_mo231679042de_int(A_82),C_24)),B_66)),C_24)).
% 114.81/113.62  all A_82 B_66 C_24 (hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_82),B_66)),C_24)=hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,hAPP_C498520661umeral(div_mo1740067990umeral(A_82),C_24)),B_66)),C_24)).
% 114.81/113.62  all A_82 B_66 C_24 (hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_82),B_66)),C_24)=hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(div_mod_nat(A_82),C_24)),B_66)),C_24)).
% 114.81/113.62  all A_82 B_66 C_24 (hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_82),B_66)),C_24)=hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(div_mod_int(A_82),C_24)),B_66)),C_24)).
% 114.81/113.62  all A_81 B_65 C_23 (hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_81),B_65)),C_23)=hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_81),hAPP_Q1762011733de_int(div_mo231679042de_int(B_65),C_23))),C_23)).
% 114.81/113.62  all A_81 B_65 C_23 (hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_81),B_65)),C_23)=hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_81),hAPP_C498520661umeral(div_mo1740067990umeral(B_65),C_23))),C_23)).
% 114.81/113.62  all A_81 B_65 C_23 (hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_81),B_65)),C_23)=hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_81),hAPP_nat_nat(div_mod_nat(B_65),C_23))),C_23)).
% 114.81/113.62  all A_81 B_65 C_23 (hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_81),B_65)),C_23)=hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_81),hAPP_int_int(div_mod_int(B_65),C_23))),C_23)).
% 114.81/113.62  all B_64 A_80 (hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,B_64),A_80)),B_64)=hAPP_Q1762011733de_int(div_mo231679042de_int(A_80),B_64)).
% 114.81/113.62  all B_64 A_80 (hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,B_64),A_80)),B_64)=hAPP_C498520661umeral(div_mo1740067990umeral(A_80),B_64)).
% 114.81/113.62  all B_64 A_80 (hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_64),A_80)),B_64)=hAPP_nat_nat(div_mod_nat(A_80),B_64)).
% 114.81/113.62  all B_64 A_80 (hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_64),A_80)),B_64)=hAPP_int_int(div_mod_int(A_80),B_64)).
% 114.81/113.62  all A_79 B_63 (hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_79),B_63)),B_63)=hAPP_Q1762011733de_int(div_mo231679042de_int(A_79),B_63)).
% 114.81/113.62  all A_79 B_63 (hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_79),B_63)),B_63)=hAPP_C498520661umeral(div_mo1740067990umeral(A_79),B_63)).
% 114.81/113.62  all A_79 B_63 (hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_79),B_63)),B_63)=hAPP_nat_nat(div_mod_nat(A_79),B_63)).
% 114.81/113.62  all A_79 B_63 (hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_79),B_63)),B_63)=hAPP_int_int(div_mod_int(A_79),B_63)).
% 114.81/113.62  all A_78 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(abs_abs_rat,A_78)),hAPP_rat_rat(abs_abs_rat,A_78))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_78),A_78)).
% 114.81/113.62  all A_78 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(abs_abs_real,A_78)),hAPP_real_real(abs_abs_real,A_78))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_78),A_78)).
% 114.81/113.62  all A_78 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(abs_abs_int,A_78)),hAPP_int_int(abs_abs_int,A_78))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_78),A_78)).
% 114.81/113.62  all A_77 B_62 (hAPP_rat_rat(abs_abs_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_77),B_62))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(abs_abs_rat,A_77)),hAPP_rat_rat(abs_abs_rat,B_62))).
% 114.81/113.62  all A_77 B_62 (hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_77),B_62))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(abs_abs_real,A_77)),hAPP_real_real(abs_abs_real,B_62))).
% 114.81/113.62  all A_77 B_62 (hAPP_int_int(abs_abs_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_77),B_62))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(abs_abs_int,A_77)),hAPP_int_int(abs_abs_int,B_62))).
% 114.81/113.62  all A_76 B_61 (hAPP_rat_rat(abs_abs_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(abs_abs_rat,A_76)),hAPP_rat_rat(abs_abs_rat,B_61)))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(abs_abs_rat,A_76)),hAPP_rat_rat(abs_abs_rat,B_61))).
% 114.81/113.62  all A_76 B_61 (hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(abs_abs_real,A_76)),hAPP_real_real(abs_abs_real,B_61)))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(abs_abs_real,A_76)),hAPP_real_real(abs_abs_real,B_61))).
% 114.81/113.62  all A_76 B_61 (hAPP_int_int(abs_abs_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(abs_abs_int,A_76)),hAPP_int_int(abs_abs_int,B_61)))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(abs_abs_int,A_76)),hAPP_int_int(abs_abs_int,B_61))).
% 114.81/113.62  all B_60 B_59 A_75 C_22 A_74 (hAPP_int_int(div_mod_int(A_75),C_22)=hAPP_int_int(div_mod_int(A_74),C_22)-> (hAPP_int_int(div_mod_int(B_60),C_22)=hAPP_int_int(div_mod_int(B_59),C_22)->hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_75),B_60)),C_22)=hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_74),B_59)),C_22))).
% 114.81/113.62  all A_73 B_58 C_21 (hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_73),B_58)),C_21)=hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(div_mod_int(A_73),C_21)),hAPP_int_int(div_mod_int(B_58),C_21))),C_21)).
% 114.81/113.62  all A_72 B_57 C_20 (hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_72),B_57)),C_20)=hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(div_mod_int(A_72),C_20)),B_57)),C_20)).
% 114.81/113.62  all A_71 B_56 C_19 (hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_71),B_56)),C_19)=hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_71),hAPP_int_int(div_mod_int(B_56),C_19))),C_19)).
% 114.81/113.62  hAPP_rat_rat(abs_abs_rat,one_one_rat)=one_one_rat.
% 114.81/113.62  hAPP_real_real(abs_abs_real,one_one_real)=one_one_real.
% 114.81/113.62  hAPP_int_int(abs_abs_int,one_one_int)=one_one_int.
% 114.81/113.62  all A_70 B_55 (hAPP_rat_rat(abs_abs_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,A_70),B_55))=hAPP_rat_rat(abs_abs_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,B_55),A_70))).
% 114.81/113.62  all A_70 B_55 (hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,A_70),B_55))=hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,B_55),A_70))).
% 114.81/113.62  all A_70 B_55 (hAPP_int_int(abs_abs_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_70),B_55))=hAPP_int_int(abs_abs_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,B_55),A_70))).
% 114.81/113.62  all X_16 (archim1246769320r_real(hAPP_real_real(uminus_uminus_real,X_16))=hAPP_int_int(uminus_uminus_int,archim856651990g_real(X_16))).
% 114.81/113.62  all X_16 (archim791455193or_rat(hAPP_rat_rat(uminus_uminus_rat,X_16))=hAPP_int_int(uminus_uminus_int,archim1419379755ng_rat(X_16))).
% 114.81/113.62  all X_15 (archim856651990g_real(hAPP_real_real(uminus_uminus_real,X_15))=hAPP_int_int(uminus_uminus_int,archim1246769320r_real(X_15))).
% 114.81/113.62  all X_15 (archim1419379755ng_rat(hAPP_rat_rat(uminus_uminus_rat,X_15))=hAPP_int_int(uminus_uminus_int,archim791455193or_rat(X_15))).
% 114.81/113.62  all X_14 (archim856651990g_real(X_14)=hAPP_int_int(uminus_uminus_int,archim1246769320r_real(hAPP_real_real(uminus_uminus_real,X_14)))).
% 114.81/113.62  all X_14 (archim1419379755ng_rat(X_14)=hAPP_int_int(uminus_uminus_int,archim791455193or_rat(hAPP_rat_rat(uminus_uminus_rat,X_14)))).
% 114.81/113.62  all Aa (hAPP_rat_rat(uminus_uminus_rat,Aa)=Aa<->Aa=zero_zero_rat).
% 114.81/113.62  all Aa (hAPP_real_real(uminus_uminus_real,Aa)=Aa<->Aa=zero_zero_real).
% 114.81/113.62  all Aa (hAPP_int_int(uminus_uminus_int,Aa)=Aa<->Aa=zero_zero_int).
% 114.81/113.62  all Aa (hAPP_rat_rat(uminus_uminus_rat,Aa)=zero_zero_rat<->Aa=zero_zero_rat).
% 114.81/113.62  all Aa (hAPP_complex_complex(uminus473333897omplex,Aa)=zero_zero_complex<->Aa=zero_zero_complex).
% 114.81/113.62  all Aa (hAPP_real_real(uminus_uminus_real,Aa)=zero_zero_real<->Aa=zero_zero_real).
% 114.81/113.62  all Aa (hAPP_int_int(uminus_uminus_int,Aa)=zero_zero_int<->Aa=zero_zero_int).
% 114.81/113.62  all Aa (Aa=hAPP_rat_rat(uminus_uminus_rat,Aa)<->Aa=zero_zero_rat).
% 114.81/113.62  all Aa (Aa=hAPP_real_real(uminus_uminus_real,Aa)<->Aa=zero_zero_real).
% 114.81/113.62  all Aa (Aa=hAPP_int_int(uminus_uminus_int,Aa)<->Aa=zero_zero_int).
% 114.81/113.62  all Aa (zero_zero_rat=hAPP_rat_rat(uminus_uminus_rat,Aa)<->zero_zero_rat=Aa).
% 114.81/113.62  all Aa (zero_zero_complex=hAPP_complex_complex(uminus473333897omplex,Aa)<->zero_zero_complex=Aa).
% 114.81/113.62  all Aa (zero_zero_real=hAPP_real_real(uminus_uminus_real,Aa)<->zero_zero_real=Aa).
% 114.81/113.62  all Aa (zero_zero_int=hAPP_int_int(uminus_uminus_int,Aa)<->zero_zero_int=Aa).
% 114.81/113.62  hAPP_rat_rat(uminus_uminus_rat,zero_zero_rat)=zero_zero_rat.
% 114.81/113.62  hAPP_complex_complex(uminus473333897omplex,zero_zero_complex)=zero_zero_complex.
% 114.81/113.62  hAPP_real_real(uminus_uminus_real,zero_zero_real)=zero_zero_real.
% 114.81/113.62  hAPP_int_int(uminus_uminus_int,zero_zero_int)=zero_zero_int.
% 114.81/113.62  all Y_2 X_1 (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,hAPP_f1805168059t_bool(uminus407446779t_bool,Y_2)),X_1))->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,hAPP_f1805168059t_bool(uminus407446779t_bool,X_1)),Y_2))).
% 114.81/113.62  all Y_2 X_1 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_f800510211t_bool(uminus1024588959t_bool,Y_2)),X_1))->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_f800510211t_bool(uminus1024588959t_bool,X_1)),Y_2))).
% 114.81/113.62  all Y_2 X_1 (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Y_2),hAPP_f1805168059t_bool(uminus407446779t_bool,X_1)))->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,X_1),hAPP_f1805168059t_bool(uminus407446779t_bool,Y_2)))).
% 114.81/113.62  all Y_2 X_1 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Y_2),hAPP_f800510211t_bool(uminus1024588959t_bool,X_1)))->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_1),hAPP_f800510211t_bool(uminus1024588959t_bool,Y_2)))).
% 114.81/113.62  all X_1 Y_2 (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,X_1),Y_2))->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,hAPP_f1805168059t_bool(uminus407446779t_bool,Y_2)),hAPP_f1805168059t_bool(uminus407446779t_bool,X_1)))).
% 114.81/113.62  all X_1 Y_2 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_1),Y_2))->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_f800510211t_bool(uminus1024588959t_bool,Y_2)),hAPP_f800510211t_bool(uminus1024588959t_bool,X_1)))).
% 114.81/113.62  all X_1 Y_2 (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,hAPP_f1805168059t_bool(uminus407446779t_bool,X_1)),hAPP_f1805168059t_bool(uminus407446779t_bool,Y_2)))<->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Y_2),X_1))).
% 114.81/113.62  all X_1 Y_2 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_f800510211t_bool(uminus1024588959t_bool,X_1)),hAPP_f800510211t_bool(uminus1024588959t_bool,Y_2)))<->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Y_2),X_1))).
% 114.81/113.62  all A_69 B_54 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_69),B_54))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(uminus_uminus_rat,B_54)),hAPP_rat_rat(uminus_uminus_rat,A_69)))).
% 114.81/113.62  all A_69 B_54 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_69),B_54))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(uminus_uminus_real,B_54)),hAPP_real_real(uminus_uminus_real,A_69)))).
% 114.81/113.62  all A_69 B_54 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_69),B_54))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(uminus_uminus_int,B_54)),hAPP_int_int(uminus_uminus_int,A_69)))).
% 114.81/113.62  all Ba Aa (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(uminus_uminus_rat,Ba)),hAPP_rat_rat(uminus_uminus_rat,Aa)))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Aa),Ba))).
% 114.81/113.62  all Ba Aa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(uminus_uminus_real,Ba)),hAPP_real_real(uminus_uminus_real,Aa)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba))).
% 114.81/113.62  all Ba Aa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(uminus_uminus_int,Ba)),hAPP_int_int(uminus_uminus_int,Aa)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),Ba))).
% 114.81/113.62  all Aa Ba (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(uminus_uminus_rat,Aa)),Ba))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(uminus_uminus_rat,Ba)),Aa))).
% 114.81/113.62  all Aa Ba (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(uminus_uminus_real,Aa)),Ba))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(uminus_uminus_real,Ba)),Aa))).
% 114.81/113.62  all Aa Ba (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(uminus_uminus_int,Aa)),Ba))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(uminus_uminus_int,Ba)),Aa))).
% 114.81/113.62  all Aa Ba (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Aa),hAPP_rat_rat(uminus_uminus_rat,Ba)))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Ba),hAPP_rat_rat(uminus_uminus_rat,Aa)))).
% 114.81/113.62  all Aa Ba (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),hAPP_real_real(uminus_uminus_real,Ba)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Ba),hAPP_real_real(uminus_uminus_real,Aa)))).
% 114.81/113.62  all Aa Ba (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),hAPP_int_int(uminus_uminus_int,Ba)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Ba),hAPP_int_int(uminus_uminus_int,Aa)))).
% 114.81/113.62  all Y_2 X_1 (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,hAPP_f1805168059t_bool(uminus407446779t_bool,Y_2)),X_1))->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,hAPP_f1805168059t_bool(uminus407446779t_bool,X_1)),Y_2))).
% 114.81/113.62  all Y_2 X_1 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,hAPP_f800510211t_bool(uminus1024588959t_bool,Y_2)),X_1))->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,hAPP_f800510211t_bool(uminus1024588959t_bool,X_1)),Y_2))).
% 114.81/113.62  all Y_2 X_1 (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Y_2),hAPP_f1805168059t_bool(uminus407446779t_bool,X_1)))->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,X_1),hAPP_f1805168059t_bool(uminus407446779t_bool,Y_2)))).
% 114.81/113.62  all Y_2 X_1 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Y_2),hAPP_f800510211t_bool(uminus1024588959t_bool,X_1)))->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X_1),hAPP_f800510211t_bool(uminus1024588959t_bool,Y_2)))).
% 114.81/113.62  all X_1 Y_2 (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,hAPP_f1805168059t_bool(uminus407446779t_bool,X_1)),hAPP_f1805168059t_bool(uminus407446779t_bool,Y_2)))<->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Y_2),X_1))).
% 114.81/113.62  all X_1 Y_2 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,hAPP_f800510211t_bool(uminus1024588959t_bool,X_1)),hAPP_f800510211t_bool(uminus1024588959t_bool,Y_2)))<->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Y_2),X_1))).
% 114.81/113.62  all Ba Aa (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(uminus_uminus_rat,Ba)),hAPP_rat_rat(uminus_uminus_rat,Aa)))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Aa),Ba))).
% 114.81/113.62  all Ba Aa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(uminus_uminus_real,Ba)),hAPP_real_real(uminus_uminus_real,Aa)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba))).
% 114.81/113.62  all Ba Aa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(uminus_uminus_int,Ba)),hAPP_int_int(uminus_uminus_int,Aa)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),Ba))).
% 114.81/113.62  all Aa Ba (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(uminus_uminus_rat,Aa)),Ba))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(uminus_uminus_rat,Ba)),Aa))).
% 114.81/113.62  all Aa Ba (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(uminus_uminus_real,Aa)),Ba))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(uminus_uminus_real,Ba)),Aa))).
% 114.81/113.62  all Aa Ba (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(uminus_uminus_int,Aa)),Ba))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(uminus_uminus_int,Ba)),Aa))).
% 114.81/113.62  all Aa Ba (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Aa),hAPP_rat_rat(uminus_uminus_rat,Ba)))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Ba),hAPP_rat_rat(uminus_uminus_rat,Aa)))).
% 114.81/113.62  all Aa Ba (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),hAPP_real_real(uminus_uminus_real,Ba)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Ba),hAPP_real_real(uminus_uminus_real,Aa)))).
% 114.81/113.62  all Aa Ba (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),hAPP_int_int(uminus_uminus_int,Ba)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Ba),hAPP_int_int(uminus_uminus_int,Aa)))).
% 114.81/113.62  all Aa Ba (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Aa),Aa)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Ba),Ba)<->Aa=Ba|Aa=hAPP_rat_rat(uminus_uminus_rat,Ba)).
% 114.81/113.62  all Aa Ba (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Aa),Aa)=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Ba),Ba)<->Aa=Ba|Aa=hAPP_complex_complex(uminus473333897omplex,Ba)).
% 114.81/113.62  all Aa Ba (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Aa),Aa)=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Ba),Ba)<->Aa=Ba|Aa=hAPP_real_real(uminus_uminus_real,Ba)).
% 114.81/113.62  all Aa Ba (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Aa),Aa)=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Ba),Ba)<->Aa=Ba|Aa=hAPP_int_int(uminus_uminus_int,Ba)).
% 114.81/113.62  all A_68 B_53 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(uminus_uminus_rat,A_68)),hAPP_rat_rat(uminus_uminus_rat,B_53))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_68),B_53)).
% 114.81/113.62  all A_68 B_53 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(uminus473333897omplex,A_68)),hAPP_complex_complex(uminus473333897omplex,B_53))=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_68),B_53)).
% 114.81/113.62  all A_68 B_53 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(uminus_uminus_real,A_68)),hAPP_real_real(uminus_uminus_real,B_53))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_68),B_53)).
% 114.81/113.62  all A_68 B_53 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(uminus_uminus_int,A_68)),hAPP_int_int(uminus_uminus_int,B_53))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_68),B_53)).
% 114.81/113.62  all A_67 B_52 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(uminus_uminus_rat,A_67)),B_52)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_67),hAPP_rat_rat(uminus_uminus_rat,B_52))).
% 114.81/113.62  all A_67 B_52 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(uminus473333897omplex,A_67)),B_52)=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_67),hAPP_complex_complex(uminus473333897omplex,B_52))).
% 114.81/113.62  all A_67 B_52 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(uminus_uminus_real,A_67)),B_52)=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_67),hAPP_real_real(uminus_uminus_real,B_52))).
% 114.81/113.62  all A_67 B_52 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(uminus_uminus_int,A_67)),B_52)=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_67),hAPP_int_int(uminus_uminus_int,B_52))).
% 114.81/113.62  all X_13 Y_11 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(uminus473333897omplex,X_13)),Y_11)=hAPP_complex_complex(uminus473333897omplex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,X_13),Y_11))).
% 114.81/113.62  all X_13 Y_11 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(uminus_uminus_real,X_13)),Y_11)=hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_13),Y_11))).
% 114.81/113.62  all A_66 B_51 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(uminus473333897omplex,A_66)),B_51)=hAPP_complex_complex(uminus473333897omplex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_66),B_51))).
% 114.81/113.62  all A_66 B_51 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(uminus_uminus_real,A_66)),B_51)=hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_66),B_51))).
% 114.81/113.62  all Xa_3 X_12 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Xa_3),hAPP_complex_complex(uminus473333897omplex,X_12))=hAPP_complex_complex(uminus473333897omplex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Xa_3),X_12))).
% 114.81/113.62  all Xa_3 X_12 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Xa_3),hAPP_real_real(uminus_uminus_real,X_12))=hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Xa_3),X_12))).
% 114.81/113.62  all A_65 B_50 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_65),hAPP_complex_complex(uminus473333897omplex,B_50))=hAPP_complex_complex(uminus473333897omplex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_65),B_50))).
% 114.81/113.62  all A_65 B_50 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_65),hAPP_real_real(uminus_uminus_real,B_50))=hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_65),B_50))).
% 114.81/113.62  all A_64 B_49 (hAPP_rat_rat(uminus_uminus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_64),B_49))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(uminus_uminus_rat,A_64)),B_49)).
% 114.81/113.62  all A_64 B_49 (hAPP_complex_complex(uminus473333897omplex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_64),B_49))=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(uminus473333897omplex,A_64)),B_49)).
% 114.81/113.62  all A_64 B_49 (hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_64),B_49))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(uminus_uminus_real,A_64)),B_49)).
% 114.81/113.62  all A_64 B_49 (hAPP_int_int(uminus_uminus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_64),B_49))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(uminus_uminus_int,A_64)),B_49)).
% 114.81/113.62  all A_63 B_48 (hAPP_rat_rat(uminus_uminus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_63),B_48))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_63),hAPP_rat_rat(uminus_uminus_rat,B_48))).
% 114.81/113.62  all A_63 B_48 (hAPP_complex_complex(uminus473333897omplex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_63),B_48))=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_63),hAPP_complex_complex(uminus473333897omplex,B_48))).
% 114.81/113.62  all A_63 B_48 (hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_63),B_48))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_63),hAPP_real_real(uminus_uminus_real,B_48))).
% 114.81/113.62  all A_63 B_48 (hAPP_int_int(uminus_uminus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_63),B_48))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_63),hAPP_int_int(uminus_uminus_int,B_48))).
% 114.81/113.62  all A_62 B_47 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(uminus_uminus_rat,A_62)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_62),B_47))=B_47).
% 114.81/113.62  all A_62 B_47 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(uminus473333897omplex,A_62)),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_62),B_47))=B_47).
% 114.81/113.62  all A_62 B_47 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(uminus_uminus_real,A_62)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_62),B_47))=B_47).
% 114.81/113.62  all A_62 B_47 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(uminus_uminus_int,A_62)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_62),B_47))=B_47).
% 114.81/113.62  all A_61 B_46 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_61),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(uminus_uminus_rat,A_61)),B_46))=B_46).
% 114.81/113.62  all A_61 B_46 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_61),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(uminus473333897omplex,A_61)),B_46))=B_46).
% 114.81/113.62  all A_61 B_46 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_61),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(uminus_uminus_real,A_61)),B_46))=B_46).
% 114.81/113.62  all A_61 B_46 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_61),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(uminus_uminus_int,A_61)),B_46))=B_46).
% 114.81/113.62  all A_60 B_45 (hAPP_rat_rat(uminus_uminus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_60),B_45))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(uminus_uminus_rat,B_45)),hAPP_rat_rat(uminus_uminus_rat,A_60))).
% 114.81/113.62  all A_60 B_45 (hAPP_complex_complex(uminus473333897omplex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_60),B_45))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(uminus473333897omplex,B_45)),hAPP_complex_complex(uminus473333897omplex,A_60))).
% 114.81/113.62  all A_60 B_45 (hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_60),B_45))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(uminus_uminus_real,B_45)),hAPP_real_real(uminus_uminus_real,A_60))).
% 114.81/113.62  all A_60 B_45 (hAPP_int_int(uminus_uminus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_60),B_45))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(uminus_uminus_int,B_45)),hAPP_int_int(uminus_uminus_int,A_60))).
% 114.81/113.62  all A_59 B_44 (hAPP_rat_rat(uminus_uminus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_59),B_44))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(uminus_uminus_rat,A_59)),hAPP_rat_rat(uminus_uminus_rat,B_44))).
% 114.81/113.62  all A_59 B_44 (hAPP_complex_complex(uminus473333897omplex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_59),B_44))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(uminus473333897omplex,A_59)),hAPP_complex_complex(uminus473333897omplex,B_44))).
% 114.81/113.62  all A_59 B_44 (hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_59),B_44))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(uminus_uminus_real,A_59)),hAPP_real_real(uminus_uminus_real,B_44))).
% 114.81/113.62  all A_59 B_44 (hAPP_int_int(uminus_uminus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_59),B_44))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(uminus_uminus_int,A_59)),hAPP_int_int(uminus_uminus_int,B_44))).
% 114.81/113.62  all A_2 (hAPP_int_int(div_mod_int(A_2),A_2)=zero_zero_int).
% 114.81/113.62  all B_1 (hAPP_int_int(div_mod_int(zero_zero_int),B_1)=zero_zero_int).
% 114.81/113.62  all A_58 B_43 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,hAPP_rat_rat(uminus_uminus_rat,A_58)),hAPP_rat_rat(uminus_uminus_rat,B_43))=hAPP_rat_rat(uminus_uminus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,A_58),B_43))).
% 114.81/113.62  all A_58 B_43 (hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,hAPP_complex_complex(uminus473333897omplex,A_58)),hAPP_complex_complex(uminus473333897omplex,B_43))=hAPP_complex_complex(uminus473333897omplex,hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,A_58),B_43))).
% 114.81/113.62  all A_58 B_43 (hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(uminus_uminus_real,A_58)),hAPP_real_real(uminus_uminus_real,B_43))=hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,A_58),B_43))).
% 114.81/113.62  all A_58 B_43 (hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(uminus_uminus_int,A_58)),hAPP_int_int(uminus_uminus_int,B_43))=hAPP_int_int(uminus_uminus_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_58),B_43))).
% 114.81/113.62  all A_57 B_42 (hAPP_rat_rat(uminus_uminus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,A_57),B_42))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,B_42),A_57)).
% 114.81/113.62  all A_57 B_42 (hAPP_complex_complex(uminus473333897omplex,hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,A_57),B_42))=hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,B_42),A_57)).
% 114.81/113.62  all A_57 B_42 (hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,A_57),B_42))=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,B_42),A_57)).
% 114.81/113.62  all A_57 B_42 (hAPP_int_int(uminus_uminus_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_57),B_42))=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,B_42),A_57)).
% 114.81/113.62  all A_2 B_1 C_1 (hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_2),hAPP_int_int(div_mod_int(B_1),C_1))),C_1)=hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_2),B_1)),C_1)).
% 114.81/113.62  all A_2 B_1 C_1 (hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_2),B_1)),C_1)=hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_2),hAPP_int_int(div_mod_int(B_1),C_1))),C_1)).
% 114.81/113.62  hAPP_int_int(uminus_uminus_int,zero_zero_int)=zero_zero_int.
% 114.81/113.62  all X M_1 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_1)),Y)),M_1)=hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X),Y)),M_1)).
% 114.81/113.62  all X Y M_1 (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_1))),M_1)=hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X),Y)),M_1)).
% 114.81/113.62  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))).
% 114.81/113.62  -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),min)).
% 114.81/113.62  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))).
% 114.81/113.62  hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,min),min)).
% 114.81/113.62  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))).
% 114.81/113.62  all X_11 ((hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_int_rat(number_number_of_rat,X_11)),zero_zero_rat))->hAPP_rat_rat(abs_abs_rat,hAPP_int_rat(number_number_of_rat,X_11))=hAPP_rat_rat(uminus_uminus_rat,hAPP_int_rat(number_number_of_rat,X_11)))& (-hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_int_rat(number_number_of_rat,X_11)),zero_zero_rat))->hAPP_rat_rat(abs_abs_rat,hAPP_int_rat(number_number_of_rat,X_11))=hAPP_int_rat(number_number_of_rat,X_11))).
% 114.81/113.62  all X_11 ((hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(number267125858f_real,X_11)),zero_zero_real))->hAPP_real_real(abs_abs_real,hAPP_int_real(number267125858f_real,X_11))=hAPP_real_real(uminus_uminus_real,hAPP_int_real(number267125858f_real,X_11)))& (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(number267125858f_real,X_11)),zero_zero_real))->hAPP_real_real(abs_abs_real,hAPP_int_real(number267125858f_real,X_11))=hAPP_int_real(number267125858f_real,X_11))).
% 114.81/113.62  all X_11 ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,X_11)),zero_zero_int))->hAPP_int_int(abs_abs_int,hAPP_int_int(number_number_of_int,X_11))=hAPP_int_int(uminus_uminus_int,hAPP_int_int(number_number_of_int,X_11)))& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,X_11)),zero_zero_int))->hAPP_int_int(abs_abs_int,hAPP_int_int(number_number_of_int,X_11))=hAPP_int_int(number_number_of_int,X_11))).
% 114.81/113.62  hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,zero_zero_real),ring_1_Ints_real)).
% 114.81/113.62  hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,zero_zero_int),ring_1_Ints_int)).
% 114.81/113.62  hBOOL(hAPP_f311463272l_bool(hAPP_r1889917837l_bool(member_rat,zero_zero_rat),ring_1_Ints_rat)).
% 114.81/113.62  hBOOL(hAPP_f1734966846l_bool(hAPP_c769186317l_bool(member_complex,zero_zero_complex),ring_1_Ints_complex)).
% 114.81/113.62  all Ba Aa (hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,Aa),ring_1_Ints_real))-> (hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,Ba),ring_1_Ints_real))->hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Aa),Ba)),ring_1_Ints_real)))).
% 114.81/113.62  all Ba Aa (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Aa),ring_1_Ints_int))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Ba),ring_1_Ints_int))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Aa),Ba)),ring_1_Ints_int)))).
% 114.81/113.62  all Ba Aa (hBOOL(hAPP_f311463272l_bool(hAPP_r1889917837l_bool(member_rat,Aa),ring_1_Ints_rat))-> (hBOOL(hAPP_f311463272l_bool(hAPP_r1889917837l_bool(member_rat,Ba),ring_1_Ints_rat))->hBOOL(hAPP_f311463272l_bool(hAPP_r1889917837l_bool(member_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Aa),Ba)),ring_1_Ints_rat)))).
% 114.81/113.62  all Ba Aa (hBOOL(hAPP_f1734966846l_bool(hAPP_c769186317l_bool(member_complex,Aa),ring_1_Ints_complex))-> (hBOOL(hAPP_f1734966846l_bool(hAPP_c769186317l_bool(member_complex,Ba),ring_1_Ints_complex))->hBOOL(hAPP_f1734966846l_bool(hAPP_c769186317l_bool(member_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Aa),Ba)),ring_1_Ints_complex)))).
% 114.81/113.62  all Ba Aa (hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,Aa),ring_1_Ints_real))-> (hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,Ba),ring_1_Ints_real))->hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Aa),Ba)),ring_1_Ints_real)))).
% 114.81/113.62  all Ba Aa (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Aa),ring_1_Ints_int))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Ba),ring_1_Ints_int))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Aa),Ba)),ring_1_Ints_int)))).
% 114.81/113.62  all Ba Aa (hBOOL(hAPP_f311463272l_bool(hAPP_r1889917837l_bool(member_rat,Aa),ring_1_Ints_rat))-> (hBOOL(hAPP_f311463272l_bool(hAPP_r1889917837l_bool(member_rat,Ba),ring_1_Ints_rat))->hBOOL(hAPP_f311463272l_bool(hAPP_r1889917837l_bool(member_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,Aa),Ba)),ring_1_Ints_rat)))).
% 114.81/113.62  all Ba Aa (hBOOL(hAPP_f1734966846l_bool(hAPP_c769186317l_bool(member_complex,Aa),ring_1_Ints_complex))-> (hBOOL(hAPP_f1734966846l_bool(hAPP_c769186317l_bool(member_complex,Ba),ring_1_Ints_complex))->hBOOL(hAPP_f1734966846l_bool(hAPP_c769186317l_bool(member_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,Aa),Ba)),ring_1_Ints_complex)))).
% 114.81/113.62  all W_1 hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,hAPP_int_real(number267125858f_real,W_1)),ring_1_Ints_real)).
% 114.81/113.62  all W_1 hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(number_number_of_int,W_1)),ring_1_Ints_int)).
% 114.81/113.62  all W_1 hBOOL(hAPP_f311463272l_bool(hAPP_r1889917837l_bool(member_rat,hAPP_int_rat(number_number_of_rat,W_1)),ring_1_Ints_rat)).
% 114.81/113.62  all W_1 hBOOL(hAPP_f1734966846l_bool(hAPP_c769186317l_bool(member_complex,hAPP_int_complex(number528085621omplex,W_1)),ring_1_Ints_complex)).
% 114.81/113.62  hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,one_one_real),ring_1_Ints_real)).
% 114.81/113.62  hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,one_one_int),ring_1_Ints_int)).
% 114.81/113.62  hBOOL(hAPP_f311463272l_bool(hAPP_r1889917837l_bool(member_rat,one_one_rat),ring_1_Ints_rat)).
% 114.81/113.62  hBOOL(hAPP_f1734966846l_bool(hAPP_c769186317l_bool(member_complex,one_one_complex),ring_1_Ints_complex)).
% 114.81/113.62  all Ba Aa (hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,Aa),ring_1_Ints_real))-> (hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,Ba),ring_1_Ints_real))->hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Aa),Ba)),ring_1_Ints_real)))).
% 114.81/113.62  all Ba Aa (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Aa),ring_1_Ints_int))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Ba),ring_1_Ints_int))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Aa),Ba)),ring_1_Ints_int)))).
% 114.81/113.62  all Ba Aa (hBOOL(hAPP_f311463272l_bool(hAPP_r1889917837l_bool(member_rat,Aa),ring_1_Ints_rat))-> (hBOOL(hAPP_f311463272l_bool(hAPP_r1889917837l_bool(member_rat,Ba),ring_1_Ints_rat))->hBOOL(hAPP_f311463272l_bool(hAPP_r1889917837l_bool(member_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,Aa),Ba)),ring_1_Ints_rat)))).
% 114.81/113.62  all Ba Aa (hBOOL(hAPP_f1734966846l_bool(hAPP_c769186317l_bool(member_complex,Aa),ring_1_Ints_complex))-> (hBOOL(hAPP_f1734966846l_bool(hAPP_c769186317l_bool(member_complex,Ba),ring_1_Ints_complex))->hBOOL(hAPP_f1734966846l_bool(hAPP_c769186317l_bool(member_complex,hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,Aa),Ba)),ring_1_Ints_complex)))).
% 114.81/113.62  all B_41 A_56 (hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_41),A_56)),B_41)=zero_z891286103de_int).
% 114.81/113.62  all B_41 A_56 (hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_41),A_56)),B_41)=zero_z126310315umeral).
% 114.81/113.62  all B_41 A_56 (hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_41),A_56)),B_41)=zero_zero_nat).
% 114.81/113.62  all B_41 A_56 (hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_41),A_56)),B_41)=zero_zero_int).
% 114.81/113.62  all A_55 B_40 (hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_55),B_40)),B_40)=zero_z891286103de_int).
% 114.81/113.62  all A_55 B_40 (hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_55),B_40)),B_40)=zero_z126310315umeral).
% 114.81/113.62  all A_55 B_40 (hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_55),B_40)),B_40)=zero_zero_nat).
% 114.81/113.62  all A_55 B_40 (hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_55),B_40)),B_40)=zero_zero_int).
% 114.81/113.62  all A_54 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),A_54))->hAPP_rat_rat(abs_abs_rat,A_54)=A_54).
% 114.81/113.62  all A_54 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_54))->hAPP_real_real(abs_abs_real,A_54)=A_54).
% 114.81/113.62  all A_54 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_54))->hAPP_int_int(abs_abs_int,A_54)=A_54).
% 114.81/113.62  all Aa (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(abs_abs_rat,Aa)),zero_zero_rat))<->Aa=zero_zero_rat).
% 114.81/113.62  all Aa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,Aa)),zero_zero_real))<->Aa=zero_zero_real).
% 114.81/113.62  all Aa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(abs_abs_int,Aa)),zero_zero_int))<->Aa=zero_zero_int).
% 114.81/113.62  all A_53 hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),hAPP_rat_rat(abs_abs_rat,A_53))).
% 114.81/113.62  all A_53 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(abs_abs_real,A_53))).
% 114.81/113.62  all A_53 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(abs_abs_int,A_53))).
% 114.81/113.62  all A_52 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),A_52))->hAPP_rat_rat(abs_abs_rat,A_52)=A_52).
% 114.81/113.62  all A_52 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_52))->hAPP_real_real(abs_abs_real,A_52)=A_52).
% 114.81/113.62  all A_52 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_52))->hAPP_int_int(abs_abs_int,A_52)=A_52).
% 114.81/113.62  all Aa (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),hAPP_rat_rat(abs_abs_rat,Aa)))<->Aa!=zero_zero_rat).
% 114.81/113.62  all Aa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(abs_abs_real,Aa)))<->Aa!=zero_zero_real).
% 114.81/113.62  all Aa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(abs_abs_int,Aa)))<->Aa!=zero_zero_int).
% 114.81/113.62  all A_51 (-hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(abs_abs_rat,A_51)),zero_zero_rat))).
% 114.81/113.62  all A_51 (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(abs_abs_real,A_51)),zero_zero_real))).
% 114.81/113.62  all A_51 (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(abs_abs_int,A_51)),zero_zero_int))).
% 114.81/113.62  all A_50 (hAPP_Q1762011733de_int(div_mo231679042de_int(A_50),one_on1684967323de_int)=zero_z891286103de_int).
% 114.81/113.62  all A_50 (hAPP_C498520661umeral(div_mo1740067990umeral(A_50),one_on1645066479umeral)=zero_z126310315umeral).
% 114.81/113.62  all A_50 (hAPP_nat_nat(div_mod_nat(A_50),one_one_nat)=zero_zero_nat).
% 114.81/113.62  all A_50 (hAPP_int_int(div_mod_int(A_50),one_one_int)=zero_zero_int).
% 114.81/113.62  all B_39 D_6 A_49 C_18 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(abs_abs_rat,A_49)),C_18))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(abs_abs_rat,B_39)),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_49)),hAPP_rat_rat(abs_abs_rat,B_39))),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C_18),D_6))))).
% 114.81/113.62  all B_39 D_6 A_49 C_18 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(abs_abs_real,A_49)),C_18))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(abs_abs_real,B_39)),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_49)),hAPP_real_real(abs_abs_real,B_39))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C_18),D_6))))).
% 114.81/113.62  all B_39 D_6 A_49 C_18 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(abs_abs_int,A_49)),C_18))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(abs_abs_int,B_39)),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_49)),hAPP_int_int(abs_abs_int,B_39))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_18),D_6))))).
% 114.81/113.62  all A_48 C_17 B_38 (hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_48),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_17),B_38))),B_38)=hAPP_Q1762011733de_int(div_mo231679042de_int(A_48),B_38)).
% 114.81/113.62  all A_48 C_17 B_38 (hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_48),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_17),B_38))),B_38)=hAPP_C498520661umeral(div_mo1740067990umeral(A_48),B_38)).
% 114.81/113.62  all A_48 C_17 B_38 (hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_48),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_17),B_38))),B_38)=hAPP_nat_nat(div_mod_nat(A_48),B_38)).
% 114.81/113.62  all A_48 C_17 B_38 (hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_48),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_17),B_38))),B_38)=hAPP_int_int(div_mod_int(A_48),B_38)).
% 114.81/113.62  all A_47 B_37 C_16 (hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_47),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_37),C_16))),B_37)=hAPP_Q1762011733de_int(div_mo231679042de_int(A_47),B_37)).
% 114.81/113.62  all A_47 B_37 C_16 (hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_47),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_37),C_16))),B_37)=hAPP_C498520661umeral(div_mo1740067990umeral(A_47),B_37)).
% 114.81/113.62  all A_47 B_37 C_16 (hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_47),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_37),C_16))),B_37)=hAPP_nat_nat(div_mod_nat(A_47),B_37)).
% 114.81/113.62  all A_47 B_37 C_16 (hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_47),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_37),C_16))),B_37)=hAPP_int_int(div_mod_int(A_47),B_37)).
% 114.81/113.62  all A_46 B_36 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_46),B_36))),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(abs_abs_rat,A_46)),hAPP_rat_rat(abs_abs_rat,B_36)))).
% 114.81/113.62  all A_46 B_36 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_46),B_36))),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(abs_abs_real,A_46)),hAPP_real_real(abs_abs_real,B_36)))).
% 114.81/113.62  all A_46 B_36 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_46),B_36))),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(abs_abs_int,A_46)),hAPP_int_int(abs_abs_int,B_36)))).
% 114.81/113.62  all A_45 B_35 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_45)),hAPP_rat_rat(abs_abs_rat,B_35)))),hAPP_rat_rat(abs_abs_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,A_45),B_35)))).
% 114.81/113.62  all A_45 B_35 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_45)),hAPP_real_real(abs_abs_real,B_35)))),hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,A_45),B_35)))).
% 114.81/113.62  all A_45 B_35 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_45)),hAPP_int_int(abs_abs_int,B_35)))),hAPP_int_int(abs_abs_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_45),B_35)))).
% 114.81/113.62  all A_44 B_34 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_44)),hAPP_rat_rat(abs_abs_rat,B_34))),hAPP_rat_rat(abs_abs_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,A_44),B_34)))).
% 114.81/113.62  all A_44 B_34 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_44)),hAPP_real_real(abs_abs_real,B_34))),hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,A_44),B_34)))).
% 114.81/113.62  all A_44 B_34 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_44)),hAPP_int_int(abs_abs_int,B_34))),hAPP_int_int(abs_abs_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_44),B_34)))).
% 114.81/113.62  all A_43 B_33 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_43)),hAPP_rat_rat(abs_abs_rat,B_33))),hAPP_rat_rat(abs_abs_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,B_33),A_43)))).
% 114.81/113.62  all A_43 B_33 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_43)),hAPP_real_real(abs_abs_real,B_33))),hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,B_33),A_43)))).
% 114.81/113.62  all A_43 B_33 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_43)),hAPP_int_int(abs_abs_int,B_33))),hAPP_int_int(abs_abs_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,B_33),A_43)))).
% 114.81/113.62  all X_1 Aa R_2 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(abs_abs_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,X_1),Aa))),R_2))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,Aa),R_2)),X_1))&hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_1),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,Aa),R_2)))).
% 114.81/113.62  all X_1 Aa R_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X_1),Aa))),R_2))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Aa),R_2)),X_1))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Aa),R_2)))).
% 114.81/113.62  all X_1 Aa R_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(abs_abs_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_1),Aa))),R_2))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Aa),R_2)),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,Aa),R_2)))).
% 114.81/113.62  all Aa Ba (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),Ba))-> -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Ba),hAPP_i1948725293t_bool(d22set,Aa)))).
% 114.81/113.62  all Aa (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(uminus_uminus_rat,Aa)),Aa))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),Aa))).
% 114.81/113.62  all Aa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(uminus_uminus_real,Aa)),Aa))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Aa))).
% 114.81/113.62  all Aa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(uminus_uminus_int,Aa)),Aa))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Aa))).
% 114.81/113.62  all Aa (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(uminus_uminus_rat,Aa)),zero_zero_rat))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),Aa))).
% 114.81/113.62  all Aa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(uminus_uminus_real,Aa)),zero_zero_real))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Aa))).
% 114.81/113.62  all Aa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(uminus_uminus_int,Aa)),zero_zero_int))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Aa))).
% 114.81/113.62  all Aa (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Aa),hAPP_rat_rat(uminus_uminus_rat,Aa)))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Aa),zero_zero_rat))).
% 114.81/113.62  all Aa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),hAPP_real_real(uminus_uminus_real,Aa)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),zero_zero_real))).
% 114.81/113.62  all Aa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),hAPP_int_int(uminus_uminus_int,Aa)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),zero_zero_int))).
% 114.81/113.62  all Aa (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),hAPP_rat_rat(uminus_uminus_rat,Aa)))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Aa),zero_zero_rat))).
% 114.81/113.62  all Aa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(uminus_uminus_real,Aa)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),zero_zero_real))).
% 114.81/113.62  all Aa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(uminus_uminus_int,Aa)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),zero_zero_int))).
% 114.81/113.62  all Ba Aa (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Ba),hAPP_i1948725293t_bool(d22set,Aa)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Ba),Aa))).
% 114.81/113.63  all Aa (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(uminus_uminus_rat,Aa)),Aa))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),Aa))).
% 114.81/113.63  all Aa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(uminus_uminus_real,Aa)),Aa))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Aa))).
% 114.81/113.63  all Aa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(uminus_uminus_int,Aa)),Aa))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Aa))).
% 114.81/113.63  all Aa (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(uminus_uminus_rat,Aa)),zero_zero_rat))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),Aa))).
% 114.81/113.63  all Aa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(uminus_uminus_real,Aa)),zero_zero_real))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Aa))).
% 114.81/113.63  all Aa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(uminus_uminus_int,Aa)),zero_zero_int))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Aa))).
% 114.81/113.63  all Aa (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Aa),hAPP_rat_rat(uminus_uminus_rat,Aa)))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Aa),zero_zero_rat))).
% 114.81/113.63  all Aa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),hAPP_real_real(uminus_uminus_real,Aa)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),zero_zero_real))).
% 114.81/113.63  all Aa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),hAPP_int_int(uminus_uminus_int,Aa)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),zero_zero_int))).
% 114.81/113.63  all Aa (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),hAPP_rat_rat(uminus_uminus_rat,Aa)))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Aa),zero_zero_rat))).
% 114.81/113.63  all Aa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(uminus_uminus_real,Aa)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),zero_zero_real))).
% 114.81/113.63  all Aa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(uminus_uminus_int,Aa)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),zero_zero_int))).
% 114.81/113.63  all A_42 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_42),hAPP_rat_rat(uminus_uminus_rat,A_42))=zero_zero_rat).
% 114.81/113.63  all A_42 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_42),hAPP_complex_complex(uminus473333897omplex,A_42))=zero_zero_complex).
% 114.81/113.63  all A_42 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_42),hAPP_real_real(uminus_uminus_real,A_42))=zero_zero_real).
% 114.81/113.63  all A_42 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_42),hAPP_int_int(uminus_uminus_int,A_42))=zero_zero_int).
% 114.81/113.63  all Aa Ba (Aa=hAPP_rat_rat(uminus_uminus_rat,Ba)<->hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,Aa),Ba)=zero_zero_rat).
% 114.81/113.63  all Aa Ba (Aa=hAPP_complex_complex(uminus473333897omplex,Ba)<->hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,Aa),Ba)=zero_zero_complex).
% 114.81/113.63  all Aa Ba (Aa=hAPP_real_real(uminus_uminus_real,Ba)<->hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Aa),Ba)=zero_zero_real).
% 114.81/113.63  all Aa Ba (Aa=hAPP_int_int(uminus_uminus_int,Ba)<->hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Aa),Ba)=zero_zero_int).
% 114.81/113.63  all A_41 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(uminus_uminus_rat,A_41)),A_41)=zero_zero_rat).
% 114.81/113.63  all A_41 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(uminus473333897omplex,A_41)),A_41)=zero_zero_complex).
% 114.81/113.63  all A_41 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(uminus_uminus_real,A_41)),A_41)=zero_zero_real).
% 114.81/113.63  all A_41 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(uminus_uminus_int,A_41)),A_41)=zero_zero_int).
% 114.81/113.63  all A_40 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(uminus_uminus_rat,A_40)),A_40)=zero_zero_rat).
% 114.81/113.63  all A_40 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(uminus473333897omplex,A_40)),A_40)=zero_zero_complex).
% 114.81/113.63  all A_40 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(uminus_uminus_real,A_40)),A_40)=zero_zero_real).
% 114.81/113.63  all A_40 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(uminus_uminus_int,A_40)),A_40)=zero_zero_int).
% 114.81/113.63  all X_1 Y_2 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,X_1),Y_2)=zero_zero_rat<->Y_2=hAPP_rat_rat(uminus_uminus_rat,X_1)).
% 114.81/113.63  all X_1 Y_2 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,X_1),Y_2)=zero_zero_complex<->Y_2=hAPP_complex_complex(uminus473333897omplex,X_1)).
% 114.81/113.63  all X_1 Y_2 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_1),Y_2)=zero_zero_real<->Y_2=hAPP_real_real(uminus_uminus_real,X_1)).
% 114.81/113.63  all X_1 Y_2 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_1),Y_2)=zero_zero_int<->Y_2=hAPP_int_int(uminus_uminus_int,X_1)).
% 114.81/113.63  all A_39 B_32 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_39),B_32)=zero_zero_rat->hAPP_rat_rat(uminus_uminus_rat,A_39)=B_32).
% 114.81/113.63  all A_39 B_32 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_39),B_32)=zero_zero_complex->hAPP_complex_complex(uminus473333897omplex,A_39)=B_32).
% 114.81/113.63  all A_39 B_32 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_39),B_32)=zero_zero_real->hAPP_real_real(uminus_uminus_real,A_39)=B_32).
% 114.81/113.63  all A_39 B_32 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_39),B_32)=zero_zero_int->hAPP_int_int(uminus_uminus_int,A_39)=B_32).
% 114.81/113.63  all A_38 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,zero_zero_rat),A_38)=hAPP_rat_rat(uminus_uminus_rat,A_38)).
% 114.81/113.63  all A_38 (hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,zero_zero_complex),A_38)=hAPP_complex_complex(uminus473333897omplex,A_38)).
% 114.81/113.63  all A_38 (hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,zero_zero_real),A_38)=hAPP_real_real(uminus_uminus_real,A_38)).
% 114.81/113.63  all A_38 (hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,zero_zero_int),A_38)=hAPP_int_int(uminus_uminus_int,A_38)).
% 114.81/113.63  all X_1 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,X_1),X_1)=one_one_rat<->X_1=one_one_rat|X_1=hAPP_rat_rat(uminus_uminus_rat,one_one_rat)).
% 114.81/113.63  all X_1 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,X_1),X_1)=one_one_complex<->X_1=one_one_complex|X_1=hAPP_complex_complex(uminus473333897omplex,one_one_complex)).
% 114.81/113.63  all X_1 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_1),X_1)=one_one_real<->X_1=one_one_real|X_1=hAPP_real_real(uminus_uminus_real,one_one_real)).
% 114.81/113.63  all X_1 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_1),X_1)=one_one_int<->X_1=one_one_int|X_1=hAPP_int_int(uminus_uminus_int,one_one_int)).
% 114.81/113.63  all X_10 (hAPP_rat_rat(uminus_uminus_rat,X_10)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(uminus_uminus_rat,one_one_rat)),X_10)).
% 114.81/113.63  all X_10 (hAPP_complex_complex(uminus473333897omplex,X_10)=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(uminus473333897omplex,one_one_complex)),X_10)).
% 114.81/113.63  all X_10 (hAPP_real_real(uminus_uminus_real,X_10)=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(uminus_uminus_real,one_one_real)),X_10)).
% 114.81/113.63  all X_10 (hAPP_int_int(uminus_uminus_int,X_10)=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(uminus_uminus_int,one_one_int)),X_10)).
% 114.81/113.63  all A_37 B_31 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,A_37),hAPP_rat_rat(uminus_uminus_rat,B_31))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_37),B_31)).
% 114.81/113.63  all A_37 B_31 (hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,A_37),hAPP_complex_complex(uminus473333897omplex,B_31))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_37),B_31)).
% 114.81/113.63  all A_37 B_31 (hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,A_37),hAPP_real_real(uminus_uminus_real,B_31))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_37),B_31)).
% 114.81/113.63  all A_37 B_31 (hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_37),hAPP_int_int(uminus_uminus_int,B_31))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_37),B_31)).
% 114.81/113.63  all A_36 B_30 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,A_36),B_30)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_36),hAPP_rat_rat(uminus_uminus_rat,B_30))).
% 114.81/113.63  all A_36 B_30 (hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,A_36),B_30)=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_36),hAPP_complex_complex(uminus473333897omplex,B_30))).
% 114.81/113.63  all A_36 B_30 (hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,A_36),B_30)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_36),hAPP_real_real(uminus_uminus_real,B_30))).
% 114.81/113.63  all A_36 B_30 (hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_36),B_30)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_36),hAPP_int_int(uminus_uminus_int,B_30))).
% 114.81/113.63  all A_35 B_29 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,A_35),B_29)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_35),hAPP_rat_rat(uminus_uminus_rat,B_29))).
% 114.81/113.63  all A_35 B_29 (hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,A_35),B_29)=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_35),hAPP_complex_complex(uminus473333897omplex,B_29))).
% 114.81/113.63  all A_35 B_29 (hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,A_35),B_29)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_35),hAPP_real_real(uminus_uminus_real,B_29))).
% 114.81/113.63  all A_35 B_29 (hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_35),B_29)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_35),hAPP_int_int(uminus_uminus_int,B_29))).
% 114.81/113.63  all X_9 Y_10 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,X_9),Y_10)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,X_9),hAPP_rat_rat(uminus_uminus_rat,Y_10))).
% 114.81/113.63  all X_9 Y_10 (hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,X_9),Y_10)=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,X_9),hAPP_complex_complex(uminus473333897omplex,Y_10))).
% 114.81/113.63  all X_9 Y_10 (hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X_9),Y_10)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_9),hAPP_real_real(uminus_uminus_real,Y_10))).
% 114.81/113.63  all X_9 Y_10 (hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_9),Y_10)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_9),hAPP_int_int(uminus_uminus_int,Y_10))).
% 114.81/113.63  all A_2 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(div_mod_int(A_2),B_1)),B_1))).
% 114.81/113.63  all A_2 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,B_1),hAPP_int_int(div_mod_int(A_2),B_1)))).
% 114.81/113.63  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))))).
% 114.81/113.63  all K_2 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(ord_less_e_q_int,hAPP_int_int(div_mod_int(M_1),K_2)),M_1))).
% 114.81/113.63  all M D (hAPP_int_int(div_mod_int(M),D)=zero_zero_int<-> (exists Q_3 (M=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,D),Q_3)))).
% 114.81/113.63  all M_1 N_1 (hAPP_int_int(abs_abs_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,M_1),N_1))=one_one_int->hAPP_int_int(abs_abs_int,M_1)=one_one_int).
% 114.81/113.63  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).
% 114.81/113.63  hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),zero_zero_int)).
% 114.81/113.63  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)).
% 114.81/113.63  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))).
% 114.81/113.63  all B_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_1))->hAPP_int_int(div_mod_int(hAPP_int_int(number_number_of_int,min)),B_1)=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,B_1),one_one_int)).
% 114.81/113.63  all B_28 A_34 ((hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),A_34))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_34),zero_zero_rat)))& (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),B_28))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,B_28),zero_zero_rat)))->hAPP_rat_rat(abs_abs_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_34),B_28))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(abs_abs_rat,A_34)),hAPP_rat_rat(abs_abs_rat,B_28))).
% 114.81/113.63  all B_28 A_34 ((hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_34))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_34),zero_zero_real)))& (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B_28))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_28),zero_zero_real)))->hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_34),B_28))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(abs_abs_real,A_34)),hAPP_real_real(abs_abs_real,B_28))).
% 114.81/113.63  all B_28 A_34 ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_34))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_34),zero_zero_int)))& (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_28))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_28),zero_zero_int)))->hAPP_int_int(abs_abs_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_34),B_28))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(abs_abs_int,A_34)),hAPP_int_int(abs_abs_int,B_28))).
% 114.81/113.63  all Y_9 X_8 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),X_8))->hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(abs_abs_rat,Y_9)),X_8)=hAPP_rat_rat(abs_abs_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Y_9),X_8))).
% 114.81/113.63  all Y_9 X_8 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_8))->hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(abs_abs_real,Y_9)),X_8)=hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Y_9),X_8))).
% 114.81/113.63  all Y_9 X_8 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_8))->hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(abs_abs_int,Y_9)),X_8)=hAPP_int_int(abs_abs_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Y_9),X_8))).
% 114.81/113.63  all A_33 B_27 C_15 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_33),B_27)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C_15),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_33),C_15))),hAPP_rat_rat(abs_abs_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,B_27),D_5))))).
% 114.81/113.63  all A_33 B_27 C_15 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_33),B_27)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C_15),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_33),C_15))),hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,B_27),D_5))))).
% 114.81/113.63  all A_33 B_27 C_15 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_33),B_27)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_15),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_33),C_15))),hAPP_int_int(abs_abs_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,B_27),D_5))))).
% 114.81/113.63  all A_32 B_26 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_32),B_26))),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(abs_abs_rat,A_32)),hAPP_rat_rat(abs_abs_rat,B_26)))).
% 114.81/113.63  all A_32 B_26 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_32),B_26))),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(abs_abs_real,A_32)),hAPP_real_real(abs_abs_real,B_26)))).
% 114.81/113.63  all A_32 B_26 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_32),B_26))),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(abs_abs_int,A_32)),hAPP_int_int(abs_abs_int,B_26)))).
% 114.81/113.63  all Aa (hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,Aa),ring_1_Ints_real))-> (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Aa),Aa)=zero_zero_real<->Aa=zero_zero_real)).
% 114.81/113.63  all Aa (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Aa),ring_1_Ints_int))-> (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Aa),Aa)=zero_zero_int<->Aa=zero_zero_int)).
% 114.81/113.63  all Aa (hBOOL(hAPP_f311463272l_bool(hAPP_r1889917837l_bool(member_rat,Aa),ring_1_Ints_rat))-> (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,Aa),Aa)=zero_zero_rat<->Aa=zero_zero_rat)).
% 114.81/113.63  all Aa (hBOOL(hAPP_f1734966846l_bool(hAPP_c769186317l_bool(member_complex,Aa),ring_1_Ints_complex))-> (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,Aa),Aa)=zero_zero_complex<->Aa=zero_zero_complex)).
% 114.81/113.63  all 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).
% 114.81/113.63  all B_1 A_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_2),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_1),A_2))->hAPP_int_int(div_mod_int(A_2),B_1)=A_2)).
% 114.81/113.63  all A_2 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,hAPP_int_int(div_mod_int(A_2),B_1)),zero_zero_int))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_1),hAPP_int_int(div_mod_int(A_2),B_1)))).
% 114.81/113.63  all A_2 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,hAPP_int_int(div_mod_int(A_2),B_1)),zero_zero_int))).
% 114.81/113.63  all B_1 A_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_2),B_1))->hAPP_int_int(div_mod_int(A_2),B_1)=A_2)).
% 114.81/113.63  all A_2 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(div_mod_int(A_2),B_1)))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(div_mod_int(A_2),B_1)),B_1))).
% 114.81/113.63  all A_2 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(div_mod_int(A_2),B_1)))).
% 114.81/113.63  all B_1 (posDivAlg(zero_zero_int,B_1)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,zero_zero_int),zero_zero_int)).
% 114.81/113.63  all V_5 W_4 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,hAPP_int_rat(number_number_of_rat,V_5)),hAPP_int_rat(number_number_of_rat,W_4))=hAPP_int_rat(number_number_of_rat,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_5),hAPP_int_int(uminus_uminus_int,W_4)))).
% 114.81/113.63  all V_5 W_4 (hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,hAPP_int_complex(number528085621omplex,V_5)),hAPP_int_complex(number528085621omplex,W_4))=hAPP_int_complex(number528085621omplex,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_5),hAPP_int_int(uminus_uminus_int,W_4)))).
% 114.81/113.63  all V_5 W_4 (hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_int_real(number267125858f_real,V_5)),hAPP_int_real(number267125858f_real,W_4))=hAPP_int_real(number267125858f_real,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_5),hAPP_int_int(uminus_uminus_int,W_4)))).
% 114.81/113.63  all V_5 W_4 (hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(number_number_of_int,V_5)),hAPP_int_int(number_number_of_int,W_4))=hAPP_int_int(number_number_of_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_5),hAPP_int_int(uminus_uminus_int,W_4)))).
% 114.81/113.63  all M_1 N_1 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,M_1),N_1)=one_one_int->M_1=one_one_int|M_1=hAPP_int_int(number_number_of_int,min)).
% 114.81/113.63  all M N (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,M),N)=one_one_int<->M=one_one_int&N=one_one_int|M=hAPP_int_int(number_number_of_int,min)&N=hAPP_int_int(number_number_of_int,min)).
% 114.81/113.63  all V_2 W (hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(number_number_of_int,V_2)),hAPP_int_int(number_number_of_int,W))=hAPP_int_int(number_number_of_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_2),hAPP_int_int(uminus_uminus_int,W)))).
% 114.81/113.63  all A_2 B_1 Q_1 R_3 (hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A_2,B_1),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Q_1),R_3)))-> (B_1!=zero_zero_int->hAPP_int_int(div_mod_int(A_2),B_1)=R_3)).
% 114.81/113.63  all Ba Aa (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Ba),hAPP_i1948725293t_bool(d22set,Aa)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),Ba))).
% 114.81/113.63  all B_1 A_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_2),B_1)),zero_zero_int))->hAPP_int_int(div_mod_int(A_2),B_1)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_2),B_1))).
% 114.81/113.63  all V_4 C_14 W_3 (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,C_14),hAPP_int_rat(number_number_of_rat,W_3)))=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_4),hAPP_int_int(uminus_uminus_int,W_3)))),C_14)).
% 114.81/113.63  all V_4 C_14 W_3 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_int_complex(number528085621omplex,V_4)),hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,C_14),hAPP_int_complex(number528085621omplex,W_3)))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_int_complex(number528085621omplex,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_4),hAPP_int_int(uminus_uminus_int,W_3)))),C_14)).
% 114.81/113.63  all V_4 C_14 W_3 (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,C_14),hAPP_int_real(number267125858f_real,W_3)))=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_4),hAPP_int_int(uminus_uminus_int,W_3)))),C_14)).
% 114.81/113.63  all V_4 C_14 W_3 (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,C_14),hAPP_int_int(number_number_of_int,W_3)))=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_4),hAPP_int_int(uminus_uminus_int,W_3)))),C_14)).
% 114.81/113.63  all Aa (hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,Aa),ring_1_Ints_real))->hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,one_one_real),Aa)),Aa)!=zero_zero_real).
% 114.81/113.63  all Aa (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Aa),ring_1_Ints_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),Aa)),Aa)!=zero_zero_int).
% 114.81/113.63  all Aa (hBOOL(hAPP_f311463272l_bool(hAPP_r1889917837l_bool(member_rat,Aa),ring_1_Ints_rat))->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),Aa)),Aa)!=zero_zero_rat).
% 114.81/113.63  all Aa (hBOOL(hAPP_f1734966846l_bool(hAPP_c769186317l_bool(member_complex,Aa),ring_1_Ints_complex))->hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,one_one_complex),Aa)),Aa)!=zero_zero_complex).
% 114.81/113.63  all A_12 B_10 Q_5 Y (A_12=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_10),Q_5)),Y)-> ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_10))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y),B_10)))& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_10))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_10),Y))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y),zero_zero_int)))-> (B_10!=zero_zero_int->hAPP_int_int(div_mod_int(A_12),B_10)=Y))).
% 114.81/113.63  all Q_1 B_1 R_3 C_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_1),R_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,R_3),zero_zero_int))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_1),hAPP_int_int(div_mod_int(Q_1),C_1))),R_3)),zero_zero_int))))).
% 114.81/113.63  all Q_1 B_1 R_3 C_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_1),R_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,R_3),zero_zero_int))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_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_1),hAPP_int_int(div_mod_int(Q_1),C_1))),R_3)))))).
% 114.81/113.63  all Q_1 B_1 R_3 C_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),R_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_3),B_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,B_1),hAPP_int_int(div_mod_int(Q_1),C_1))),R_3)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_1),C_1)))))).
% 114.81/113.63  all Q_1 B_1 R_3 C_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),R_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_3),B_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(hAPP_int_fun_int_int(times_times_int,B_1),hAPP_int_int(div_mod_int(Q_1),C_1))),R_3)))))).
% 114.81/113.63  all M_6 D_4 (hAPP_int_int(div_mod_int(M_6),D_4)=zero_zero_int-> (exists Q_3 (M_6=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,D_4),Q_3)))).
% 114.81/113.63  all K_2 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)))).
% 114.81/113.63  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)))).
% 114.81/113.63  all M_1 N_1 R_5 S_4 S_2 T_3 T_2 R_3 ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,R_3),zero_zero_int))->xzgcda(M_1,N_1,R_5,R_3,S_4,S_2,T_3,T_2)=hAPP_P408881810nt_int(hAPP_i1730167831nt_int(produc282740534nt_int,R_5),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,S_4),T_3)))& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,R_3),zero_zero_int))->xzgcda(M_1,N_1,R_5,R_3,S_4,S_2,T_3,T_2)=xzgcda(M_1,N_1,R_3,hAPP_int_int(div_mod_int(R_5),R_3),S_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,S_4),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,R_5),R_3)),S_2)),T_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,T_3),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,R_5),R_3)),T_2))))).
% 114.81/113.63  all K_1 F N ((all I_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),N))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(abs_abs_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_nat_int(F,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_2),one_one_nat))),hAPP_nat_int(F,I_2)))),one_one_int))))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(F,zero_zero_nat)),K_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),hAPP_nat_int(F,N)))-> (exists I_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),N))&hAPP_nat_int(F,I_2)=K_1))))).
% 114.81/113.63  all K_1 F N ((all I_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),N))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(abs_abs_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_nat_int(F,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_2),one_one_nat))),hAPP_nat_int(F,I_2)))),one_one_int))))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(F,zero_zero_nat)),K_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),hAPP_nat_int(F,N)))-> (exists I_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),N))&hAPP_nat_int(F,I_2)=K_1))))).
% 114.81/113.63  all K_1 F N M ((all I_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),I_2))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),N))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(abs_abs_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_nat_int(F,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_2),one_one_nat))),hAPP_nat_int(F,I_2)))),one_one_int))))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(F,M)),K_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),hAPP_nat_int(F,N)))-> (exists I_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),I_2))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),N))&hAPP_nat_int(F,I_2)=K_1)))))).
% 114.81/113.63  all B_1 (negDivAlg(hAPP_int_int(number_number_of_int,min),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(minus_minus_int,B_1),one_one_int))).
% 114.81/113.63  all C_1 A_2 B_1 Q_1 R_3 (hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A_2,B_1),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Q_1),R_3)))-> (B_1!=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_2,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_1),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_1),hAPP_int_int(div_mod_int(Q_1),C_1))),R_3))))))).
% 114.81/113.63  all X_1 (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_1),X_1)))<->X_1=zero_zero_real).
% 114.81/113.63  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(ord_less_e_q_nat,hAPP_nat_nat(div_mod_nat(M_1),N_1)),N_1))).
% 114.81/113.63  all M D (hAPP_nat_nat(div_mod_nat(M),D)=zero_zero_nat<-> (exists Q_3 (M=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,D),Q_3)))).
% 114.81/113.63  all N_1 M_1 ((M_1=zero_zero_nat->hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),N_1)=zero_zero_nat)& (M_1!=zero_zero_nat->hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),N_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),one_one_nat)),N_1)))).
% 114.81/113.63  all M_1 N_1 ((hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1))->hAPP_nat_nat(div_mod_nat(M_1),N_1)=M_1)& (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1))->hAPP_nat_nat(div_mod_nat(M_1),N_1)=hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N_1)),N_1))).
% 114.81/113.63  all M_1 N_1 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1))->hAPP_nat_nat(div_mod_nat(M_1),N_1)=hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N_1)),N_1)).
% 114.81/113.63  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(ord_less_nat,hAPP_nat_nat(div_mod_nat(M_1),N_1)),N_1))).
% 114.81/113.63  all M_1 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1))->hAPP_nat_nat(div_mod_nat(M_1),N_1)=M_1).
% 114.81/113.63  all Q_1 R_3 B_1 C_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),C_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,R_3),B_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,B_1),hAPP_nat_nat(div_mod_nat(Q_1),C_1))),R_3)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_1),C_1))))).
% 114.81/113.63  all P_1 N K_1 (hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(div_mod_nat(N),K_1)))<-> (K_1=zero_zero_nat->hBOOL(hAPP_nat_bool(P_1,N)))& (K_1!=zero_zero_nat-> (all I_2 J_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J_1),K_1))-> (N=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),I_2)),J_1)->hBOOL(hAPP_nat_bool(P_1,J_1))))))).
% 114.81/113.63  all R_3 ((hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,R_3),zero_zero_real))->hAPP_real_real(abs_abs_real,R_3)=hAPP_real_real(uminus_uminus_real,R_3))& (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,R_3),zero_zero_real))->hAPP_real_real(abs_abs_real,R_3)=R_3)).
% 114.81/113.63  all A_2 ((hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_2),zero_zero_real))->hAPP_real_real(abs_abs_real,A_2)=hAPP_real_real(uminus_uminus_real,A_2))& (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_2),zero_zero_real))->hAPP_real_real(abs_abs_real,A_2)=A_2)).
% 114.81/113.63  all K_2 N_1 M_1 (hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_2),N_1)),M_1)),N_1)=hAPP_nat_nat(div_mod_nat(M_1),N_1)).
% 114.81/113.63  all N_1 M_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),M_1))->hAPP_nat_nat(div_mod_nat(M_1),N_1)=hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N_1)),N_1)).
% 114.81/113.63  all M_1 N_1 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(div_mod_nat(M_1),N_1)),M_1)).
% 114.81/113.63  all X Y L_2 M_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(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_1))))),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_1)))))).
% 114.81/113.63  all X_1 R_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,X_1)),R_2))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(uminus_uminus_real,R_2)),X_1))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),R_2))).
% 114.81/113.63  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)))).
% 114.81/113.63  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)))).
% 114.81/113.63  all R_3 S_2 (hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,R_3),S_2)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,R_3),hAPP_real_real(uminus_uminus_real,S_2))).
% 114.81/113.63  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))).
% 114.81/113.63  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)))).
% 114.81/113.63  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))).
% 114.81/113.63  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))).
% 114.81/113.63  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)))).
% 114.81/113.63  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)))).
% 114.81/113.63  all B_1 (hAPP_int_int(hAPP_int_fun_int_int(div_div_int,zero_zero_int),B_1)=zero_zero_int).
% 114.81/113.63  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)))).
% 114.81/113.63  all X_1 Y_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_1),Y_2)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(uminus_uminus_real,X_1)),Y_2))).
% 114.81/113.63  all X_1 Y_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_1),Y_2)),zero_zero_real))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_2),hAPP_real_real(uminus_uminus_real,X_1)))).
% 114.81/113.63  all X_1 Y_2 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_1),Y_2)=zero_zero_real<->Y_2=hAPP_real_real(uminus_uminus_real,X_1)).
% 114.81/113.63  all X_1 Aa (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_1),hAPP_real_real(uminus_uminus_real,Aa))=zero_zero_real<->X_1=Aa).
% 114.81/113.63  all A_2 B_1 (hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_2),hAPP_int_int(uminus_uminus_int,B_1))=hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(uminus_uminus_int,A_2)),B_1)).
% 114.81/113.63  all A_2 B_1 (hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(uminus_uminus_int,A_2)),hAPP_int_int(uminus_uminus_int,B_1))=hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_2),B_1)).
% 114.81/113.63  all A_31 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,A_31),zero_z891286103de_int)=zero_z891286103de_int).
% 114.81/113.63  all A_31 (hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,A_31),zero_z126310315umeral)=zero_z126310315umeral).
% 114.81/113.63  all A_31 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,A_31),zero_zero_nat)=zero_zero_nat).
% 114.81/113.63  all A_31 (hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_31),zero_zero_int)=zero_zero_int).
% 114.81/113.63  all A_30 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,zero_z891286103de_int),A_30)=zero_z891286103de_int).
% 114.81/113.63  all A_30 (hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,zero_z126310315umeral),A_30)=zero_z126310315umeral).
% 114.81/113.63  all A_30 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,zero_zero_nat),A_30)=zero_zero_nat).
% 114.81/113.63  all A_30 (hAPP_int_int(hAPP_int_fun_int_int(div_div_int,zero_zero_int),A_30)=zero_zero_int).
% 114.81/113.63  all A_29 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,A_29),one_on1684967323de_int)=A_29).
% 114.81/113.63  all A_29 (hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,A_29),one_on1645066479umeral)=A_29).
% 114.81/113.63  all A_29 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,A_29),one_one_nat)=A_29).
% 114.81/113.63  all A_29 (hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_29),one_one_int)=A_29).
% 114.81/113.63  all B_1 A_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_2),zero_zero_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_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_2),B_1)),zero_zero_int)))).
% 114.81/113.63  all Aa Ba (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Ba),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,Aa),Ba)),zero_zero_int))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Aa)))).
% 114.81/113.63  all Aa Ba (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Ba))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,Aa),Ba)),zero_zero_int))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),zero_zero_int)))).
% 114.81/113.63  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))))).
% 114.81/113.63  all A_2 (A_2!=zero_zero_int->hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_2),A_2)=one_one_int).
% 114.81/113.63  all A_2 B_1 (hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(div_mod_int(A_2),B_1)),B_1)=zero_zero_int).
% 114.81/113.63  all A_2 (hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_2),zero_zero_int)=zero_zero_int&hAPP_int_int(div_mod_int(A_2),zero_zero_int)=A_2).
% 114.81/113.63  all X_1 Y_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_1),Y_2)),zero_zero_real))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_2),hAPP_real_real(uminus_uminus_real,X_1)))).
% 114.81/113.63  all X_1 Y_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_1),Y_2)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(uminus_uminus_real,X_1)),Y_2))).
% 114.81/113.63  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))).
% 114.81/113.63  all A_2 B_1 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_2),B_1)),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_2),C_1)),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,B_1),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_2),C_1)),hAPP_int_int(div_mod_int(B_1),C_1))),C_1))).
% 114.81/113.63  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)))).
% 114.81/113.63  all A_28 B_25 C_13 ((C_13=zero_z891286103de_int->hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_13),A_28)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_13),B_25))=zero_z891286103de_int)& (C_13!=zero_z891286103de_int->hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_13),A_28)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_13),B_25))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,A_28),B_25))).
% 114.81/113.63  all A_28 B_25 C_13 ((C_13=zero_z126310315umeral->hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_13),A_28)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_13),B_25))=zero_z126310315umeral)& (C_13!=zero_z126310315umeral->hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_13),A_28)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_13),B_25))=hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,A_28),B_25))).
% 114.81/113.63  all A_28 B_25 C_13 ((C_13=zero_zero_nat->hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_13),A_28)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_13),B_25))=zero_zero_nat)& (C_13!=zero_zero_nat->hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_13),A_28)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_13),B_25))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,A_28),B_25))).
% 114.81/113.63  all A_28 B_25 C_13 ((C_13=zero_zero_int->hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_13),A_28)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_13),B_25))=zero_zero_int)& (C_13!=zero_zero_int->hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_13),A_28)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_13),B_25))=hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_28),B_25))).
% 114.81/113.63  all A_27 B_24 (B_24!=zero_z891286103de_int->hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_27),B_24)),B_24)=A_27).
% 114.81/113.63  all A_27 B_24 (B_24!=zero_z126310315umeral->hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_27),B_24)),B_24)=A_27).
% 114.81/113.63  all A_27 B_24 (B_24!=zero_zero_nat->hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_27),B_24)),B_24)=A_27).
% 114.81/113.63  all A_27 B_24 (B_24!=zero_zero_int->hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_27),B_24)),B_24)=A_27).
% 114.81/113.63  all A_26 B_23 (B_23!=zero_z891286103de_int->hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_23),A_26)),B_23)=A_26).
% 114.81/113.63  all A_26 B_23 (B_23!=zero_z126310315umeral->hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_23),A_26)),B_23)=A_26).
% 114.81/113.63  all A_26 B_23 (B_23!=zero_zero_nat->hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_23),A_26)),B_23)=A_26).
% 114.81/113.63  all A_26 B_23 (B_23!=zero_zero_int->hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_23),A_26)),B_23)=A_26).
% 114.81/113.63  all A_25 B_22 C_12 (C_12!=zero_z891286103de_int->hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_25),C_12)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_22),C_12))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,A_25),B_22)).
% 114.81/113.63  all A_25 B_22 C_12 (C_12!=zero_z126310315umeral->hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_25),C_12)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_22),C_12))=hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,A_25),B_22)).
% 114.81/113.63  all A_25 B_22 C_12 (C_12!=zero_zero_nat->hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_25),C_12)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_22),C_12))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,A_25),B_22)).
% 114.81/113.63  all A_25 B_22 C_12 (C_12!=zero_zero_int->hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_25),C_12)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_22),C_12))=hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_25),B_22)).
% 114.81/113.63  all A_24 B_21 C_11 (C_11!=zero_z891286103de_int->hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_11),A_24)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_11),B_21))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,A_24),B_21)).
% 114.81/113.63  all A_24 B_21 C_11 (C_11!=zero_z126310315umeral->hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_11),A_24)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_11),B_21))=hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,A_24),B_21)).
% 114.81/113.63  all A_24 B_21 C_11 (C_11!=zero_zero_nat->hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_11),A_24)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_11),B_21))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,A_24),B_21)).
% 114.81/113.63  all A_24 B_21 C_11 (C_11!=zero_zero_int->hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_11),A_24)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_11),B_21))=hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_24),B_21)).
% 114.81/113.63  all A_23 (A_23!=zero_z891286103de_int->hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,A_23),A_23)=one_on1684967323de_int).
% 114.81/113.63  all A_23 (A_23!=zero_z126310315umeral->hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,A_23),A_23)=one_on1645066479umeral).
% 114.81/113.63  all A_23 (A_23!=zero_zero_nat->hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,A_23),A_23)=one_one_nat).
% 114.81/113.63  all A_23 (A_23!=zero_zero_int->hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_23),A_23)=one_one_int).
% 114.81/113.63  all A_22 B_20 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,hAPP_Q1762011733de_int(div_mo231679042de_int(A_22),B_20)),B_20)=zero_z891286103de_int).
% 114.81/113.63  all A_22 B_20 (hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,hAPP_C498520661umeral(div_mo1740067990umeral(A_22),B_20)),B_20)=zero_z126310315umeral).
% 114.81/113.63  all A_22 B_20 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(div_mod_nat(A_22),B_20)),B_20)=zero_zero_nat).
% 114.81/113.63  all A_22 B_20 (hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(div_mod_int(A_22),B_20)),B_20)=zero_zero_int).
% 114.81/113.63  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)))).
% 114.81/113.63  all I_1 K_1 (hAPP_int_int(hAPP_int_fun_int_int(div_div_int,I_1),K_1)=zero_zero_int<->K_1=zero_zero_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),I_1))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,I_1),K_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,I_1),zero_zero_int))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),I_1))).
% 114.81/113.63  all Aa Ba (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Ba))-> (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,Aa),Ba)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Aa)))).
% 114.81/113.63  all I_1 K_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),K_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,I_1),K_1)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),I_1)))).
% 114.81/113.63  all Ba Aa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Aa))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,Aa),Ba)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Ba),Aa))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Ba)))).
% 114.81/113.63  all B_1 B_4 A_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_4))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_4),B_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_2),B_1)),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_2),B_4)))))).
% 114.81/113.63  all B_1 A_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_2))-> (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,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_2),B_1)),zero_zero_int)))).
% 114.81/113.63  all B_1 A_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_2),B_1))->hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_2),B_1)=zero_zero_int)).
% 114.81/113.63  all Aa Ba (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Ba),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,Aa),Ba)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),zero_zero_int)))).
% 114.81/113.63  all B_1 A_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_2),zero_zero_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,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_2),B_1)),zero_zero_int)))).
% 114.81/113.63  all B_1 B_4 A_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_2),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_4))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_4),B_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_2),B_4)),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_2),B_1)))))).
% 114.81/113.63  all B_1 A_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_2),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_1),A_2))->hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_2),B_1)=zero_zero_int)).
% 114.81/113.63  all B_1 A_2 A_4 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_2),A_4))-> (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,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_2),B_1)),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_4),B_1))))).
% 114.81/113.63  all B_1 A_2 A_4 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_2),A_4))-> (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,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_4),B_1)),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_2),B_1))))).
% 114.81/113.63  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)))).
% 114.81/113.63  all A_2 B_1 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_2),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_1),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_2),B_1)),C_1)).
% 114.81/113.63  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)))).
% 114.81/113.63  all A_2 B_1 (A_2=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_1),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_2),B_1))),hAPP_int_int(div_mod_int(A_2),B_1))).
% 114.81/113.63  all A_2 B_1 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_2),B_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,A_2),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,B_1),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_2),hAPP_int_int(div_mod_int(B_1),C_1))),C_1))).
% 114.81/113.63  all B_1 A_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,B_1),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_2),B_1))),hAPP_int_int(div_mod_int(A_2),B_1))),K_2)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_2),K_2)).
% 114.81/113.63  all A_2 B_1 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_2),B_1)),B_1)),hAPP_int_int(div_mod_int(A_2),B_1))),K_2)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_2),K_2)).
% 114.81/113.63  all M_1 N_1 (hAPP_int_int(div_mod_int(M_1),N_1)=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,M_1),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,M_1),N_1)),N_1))).
% 114.81/113.63  all N_1 M_1 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,N_1),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,M_1),N_1))=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,M_1),hAPP_int_int(div_mod_int(M_1),N_1))).
% 114.81/113.63  all A_2 (hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_2),hAPP_int_int(number_number_of_int,min))=hAPP_int_int(uminus_uminus_int,A_2)).
% 114.81/113.63  all A_21 C_10 B_19 (B_19!=zero_z891286103de_int->hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_21),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_19),C_10))),B_19)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C_10),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,A_21),B_19))).
% 114.81/113.63  all A_21 C_10 B_19 (B_19!=zero_z126310315umeral->hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_21),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_19),C_10))),B_19)=hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,C_10),hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,A_21),B_19))).
% 114.81/113.63  all A_21 C_10 B_19 (B_19!=zero_zero_nat->hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_21),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_19),C_10))),B_19)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_10),hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,A_21),B_19))).
% 114.81/113.63  all A_21 C_10 B_19 (B_19!=zero_zero_int->hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_21),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_19),C_10))),B_19)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_10),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_21),B_19))).
% 114.81/113.63  all A_20 C_9 B_18 (B_18!=zero_z891286103de_int->hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_20),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_9),B_18))),B_18)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C_9),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,A_20),B_18))).
% 114.81/113.63  all A_20 C_9 B_18 (B_18!=zero_z126310315umeral->hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_20),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_9),B_18))),B_18)=hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,C_9),hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,A_20),B_18))).
% 114.81/113.63  all A_20 C_9 B_18 (B_18!=zero_zero_nat->hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_20),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_9),B_18))),B_18)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_9),hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,A_20),B_18))).
% 114.81/113.63  all A_20 C_9 B_18 (B_18!=zero_zero_int->hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_20),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_9),B_18))),B_18)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_9),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_20),B_18))).
% 114.81/113.63  all A_2 B_1 Q_1 R_3 (hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A_2,B_1),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Q_1),R_3)))-> (B_1!=zero_zero_int->hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_2),B_1)=Q_1)).
% 114.81/113.63  all A_19 B_17 (B_17!=zero_z891286103de_int->hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_19),B_17)),B_17)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,A_19),B_17)),one_on1684967323de_int)).
% 114.81/113.63  all A_19 B_17 (B_17!=zero_z126310315umeral->hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_19),B_17)),B_17)=hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,A_19),B_17)),one_on1645066479umeral)).
% 114.81/113.63  all A_19 B_17 (B_17!=zero_zero_nat->hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_19),B_17)),B_17)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,A_19),B_17)),one_one_nat)).
% 114.81/113.63  all A_19 B_17 (B_17!=zero_zero_int->hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_19),B_17)),B_17)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_19),B_17)),one_one_int)).
% 114.81/113.63  all A_18 B_16 (B_16!=zero_z891286103de_int->hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,B_16),A_18)),B_16)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,A_18),B_16)),one_on1684967323de_int)).
% 114.81/113.63  all A_18 B_16 (B_16!=zero_z126310315umeral->hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,B_16),A_18)),B_16)=hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,A_18),B_16)),one_on1645066479umeral)).
% 114.81/113.63  all A_18 B_16 (B_16!=zero_zero_nat->hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_16),A_18)),B_16)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,A_18),B_16)),one_one_nat)).
% 114.81/113.63  all A_18 B_16 (B_16!=zero_zero_int->hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_16),A_18)),B_16)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_18),B_16)),one_one_int)).
% 114.81/113.63  all A_17 B_15 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(div_mo231679042de_int(A_17),B_15)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,A_17),B_15)),B_15))=A_17).
% 114.81/113.63  all A_17 B_15 (hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,hAPP_C498520661umeral(div_mo1740067990umeral(A_17),B_15)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,A_17),B_15)),B_15))=A_17).
% 114.81/113.63  all A_17 B_15 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(div_mod_nat(A_17),B_15)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,A_17),B_15)),B_15))=A_17).
% 114.81/113.63  all A_17 B_15 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(div_mod_int(A_17),B_15)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_17),B_15)),B_15))=A_17).
% 114.81/113.63  all B_14 A_16 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_14),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,A_16),B_14))),hAPP_Q1762011733de_int(div_mo231679042de_int(A_16),B_14))=A_16).
% 114.81/113.63  all B_14 A_16 (hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_14),hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,A_16),B_14))),hAPP_C498520661umeral(div_mo1740067990umeral(A_16),B_14))=A_16).
% 114.81/113.63  all B_14 A_16 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_14),hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,A_16),B_14))),hAPP_nat_nat(div_mod_nat(A_16),B_14))=A_16).
% 114.81/113.63  all B_14 A_16 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_14),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_16),B_14))),hAPP_int_int(div_mod_int(A_16),B_14))=A_16).
% 114.81/113.63  all A_15 B_13 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,A_15),B_13)),B_13)),hAPP_Q1762011733de_int(div_mo231679042de_int(A_15),B_13))=A_15).
% 114.81/113.63  all A_15 B_13 (hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,A_15),B_13)),B_13)),hAPP_C498520661umeral(div_mo1740067990umeral(A_15),B_13))=A_15).
% 114.81/113.63  all A_15 B_13 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,A_15),B_13)),B_13)),hAPP_nat_nat(div_mod_nat(A_15),B_13))=A_15).
% 114.81/113.63  all A_15 B_13 (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_15),B_13)),B_13)),hAPP_int_int(div_mod_int(A_15),B_13))=A_15).
% 114.81/113.63  all B_12 A_14 C_8 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_12),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,A_14),B_12))),hAPP_Q1762011733de_int(div_mo231679042de_int(A_14),B_12))),C_8)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_14),C_8)).
% 114.81/113.63  all B_12 A_14 C_8 (hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_12),hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,A_14),B_12))),hAPP_C498520661umeral(div_mo1740067990umeral(A_14),B_12))),C_8)=hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_14),C_8)).
% 114.81/113.63  all B_12 A_14 C_8 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_12),hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,A_14),B_12))),hAPP_nat_nat(div_mod_nat(A_14),B_12))),C_8)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_14),C_8)).
% 114.81/113.63  all B_12 A_14 C_8 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_12),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_14),B_12))),hAPP_int_int(div_mod_int(A_14),B_12))),C_8)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_14),C_8)).
% 114.81/113.63  all A_13 B_11 C_7 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,A_13),B_11)),B_11)),hAPP_Q1762011733de_int(div_mo231679042de_int(A_13),B_11))),C_7)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_13),C_7)).
% 114.81/113.63  all A_13 B_11 C_7 (hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,A_13),B_11)),B_11)),hAPP_C498520661umeral(div_mo1740067990umeral(A_13),B_11))),C_7)=hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_13),C_7)).
% 114.81/113.63  all A_13 B_11 C_7 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,A_13),B_11)),B_11)),hAPP_nat_nat(div_mod_nat(A_13),B_11))),C_7)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_13),C_7)).
% 114.81/113.63  all A_13 B_11 C_7 (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_13),B_11)),B_11)),hAPP_int_int(div_mod_int(A_13),B_11))),C_7)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_13),C_7)).
% 114.81/113.63  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))).
% 114.81/113.63  all B_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_1))->hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(number_number_of_int,min)),B_1)=hAPP_int_int(number_number_of_int,min)).
% 114.81/113.63  all A_2 B_1 M_1 (hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_2),B_1)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,M_1),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_2),M_1)),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,B_1),M_1)))),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(div_mod_int(A_2),M_1)),hAPP_int_int(div_mod_int(B_1),M_1)))).
% 114.81/113.63  all R_3 S_2 T_2 R_5 S_4 M_1 T_3 N_1 (R_5=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,S_4),M_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,T_3),N_1))-> (R_3=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,S_2),M_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,T_2),N_1))->hAPP_int_int(div_mod_int(R_5),R_3)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,S_4),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,R_5),R_3)),S_2))),M_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,T_3),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,R_5),R_3)),T_2))),N_1)))).
% 114.81/113.63  all A_2 B_1 (B_1!=zero_zero_int->hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A_2,B_1),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_2),B_1)),hAPP_int_int(div_mod_int(A_2),B_1))))).
% 114.81/113.63  all B_1 A_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_2),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_1))->hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A_2,B_1),negDivAlg(A_2,B_1))))).
% 114.81/113.63  all P_1 N K_1 (hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,N),K_1)))<-> (K_1=zero_zero_int->hBOOL(hAPP_int_bool(P_1,zero_zero_int)))& (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),K_1))-> (all I_2 J_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),J_1))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,J_1),K_1))&N=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),I_2)),J_1)->hBOOL(hAPP_int_bool(P_1,I_2)))))& (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),zero_zero_int))-> (all I_2 J_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),J_1))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,J_1),zero_zero_int))&N=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),I_2)),J_1)->hBOOL(hAPP_int_bool(P_1,I_2)))))).
% 114.81/113.64  all A_12 B_10 Y R_6 (A_12=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_10),Y)),R_6)-> ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_10))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),R_6))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_6),B_10)))& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_10))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_10),R_6))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,R_6),zero_zero_int)))-> (B_10!=zero_zero_int->hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_12),B_10)=Y))).
% 114.81/113.64  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)))).
% 114.81/113.64  all A_2 B_1 C_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_1))->hAPP_int_int(div_mod_int(A_2),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_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_1),hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_2),B_1)),C_1))),hAPP_int_int(div_mod_int(A_2),B_1))).
% 114.81/113.64  all A_2 B_1 (B_1!=zero_zero_int-> (hAPP_int_int(div_mod_int(A_2),B_1)=zero_zero_int->hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_2),hAPP_int_int(uminus_uminus_int,B_1))=hAPP_int_int(uminus_uminus_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_2),B_1)))& (hAPP_int_int(div_mod_int(A_2),B_1)!=zero_zero_int->hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_2),hAPP_int_int(uminus_uminus_int,B_1))=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_2),B_1))),one_one_int))).
% 114.81/113.64  all A_2 B_1 (B_1!=zero_zero_int-> (hAPP_int_int(div_mod_int(A_2),B_1)=zero_zero_int->hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(uminus_uminus_int,A_2)),B_1)=hAPP_int_int(uminus_uminus_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_2),B_1)))& (hAPP_int_int(div_mod_int(A_2),B_1)!=zero_zero_int->hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(uminus_uminus_int,A_2)),B_1)=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_2),B_1))),one_one_int))).
% 114.81/113.64  all B_1 Bq Br A_2 C_1 Aq Ar (hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A_2,C_1),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Aq),Ar)))-> (hBOOL(hAPP_P603027463t_bool(divmod_int_rel(B_1,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_2),B_1),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))))))).
% 114.81/113.64  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)))).
% 114.81/113.64  all B_1 A_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_2),B_1)),zero_zero_int))->hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_2),B_1)=hAPP_int_int(number_number_of_int,min))).
% 114.81/113.64  all P_1 N K_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),K_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,N),K_1)),hAPP_int_int(div_mod_int(N),K_1)))<-> (all I_2 J_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),J_1))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,J_1),K_1))&N=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),I_2)),J_1)->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(P_1,I_2),J_1)))))).
% 114.81/113.64  all P_1 N K_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,N),K_1)),hAPP_int_int(div_mod_int(N),K_1)))<-> (all I_2 J_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),J_1))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,J_1),zero_zero_int))&N=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),I_2)),J_1)->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(P_1,I_2),J_1)))))).
% 114.81/113.64  all A_2 B_1 C_1 Q_1 R_3 (hBOOL(hAPP_P603027463t_bool(divmod_int_rel(B_1,C_1),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Q_1),R_3)))-> (C_1!=zero_zero_int->hBOOL(hAPP_P603027463t_bool(divmod_int_rel(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_2),B_1),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_2),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_2),R_3)),C_1))),hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_2),R_3)),C_1)))))).
% 114.81/113.64  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))))).
% 114.81/113.64  all N_1 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),N_1)).
% 114.81/113.64  all N_1 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),zero_zero_nat))).
% 114.81/113.64  all A_11 B_9 (A_11=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,A_11),B_9)),B_9)),hAPP_Q1762011733de_int(div_mo231679042de_int(A_11),B_9))).
% 114.81/113.64  all A_11 B_9 (A_11=hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,A_11),B_9)),B_9)),hAPP_C498520661umeral(div_mo1740067990umeral(A_11),B_9))).
% 114.81/113.64  all A_11 B_9 (A_11=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,A_11),B_9)),B_9)),hAPP_nat_nat(div_mod_nat(A_11),B_9))).
% 114.81/113.64  all A_11 B_9 (A_11=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_11),B_9)),B_9)),hAPP_int_int(div_mod_int(A_11),B_9))).
% 114.81/113.64  all U_1 V_2 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_2))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X),U_1)),Y))),V_2)))).
% 114.81/113.64  all U M N I_1 J (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_1),J))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,I_1),U)),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,J),U)),N)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,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),I_1)),U)),N))))).
% 114.81/113.64  all U M N J I_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J),I_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,I_1),U)),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,J),U)),N)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,I_1),J)),U)),M)),N)))).
% 114.81/113.64  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)).
% 114.81/113.64  all K_1 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,K_1),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),N)))<-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N)))).
% 114.81/113.64  all M_1 N_1 K_2 ((K_2=zero_zero_nat->hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_2),M_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_2),N_1))=zero_zero_nat)& (K_2!=zero_zero_nat->hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_2),M_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_2),N_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M_1),N_1))).
% 114.81/113.64  all A_2 B_1 C_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,A_2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_1),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_2),B_1)),C_1)).
% 114.81/113.64  all K_2 M_1 N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_2),hAPP_nat_nat(div_mod_nat(M_1),N_1))=hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_2),M_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_2),N_1))).
% 114.81/113.64  all M_1 N_1 K_2 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(div_mod_nat(M_1),N_1)),K_2)=hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),K_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N_1),K_2))).
% 114.81/113.64  all M_1 N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M_1),N_1)),N_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),hAPP_nat_nat(div_mod_nat(M_1),N_1))).
% 114.81/113.64  all N_1 M_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M_1),N_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),hAPP_nat_nat(div_mod_nat(M_1),N_1))).
% 114.81/113.64  all M_1 N_1 (hAPP_nat_nat(div_mod_nat(M_1),N_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M_1),N_1)),N_1))).
% 114.81/113.64  all K_2 M_1 N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_2),M_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_2),N_1))).
% 114.81/113.64  all M_1 N_1 K_2 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N_1)),K_2)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),K_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N_1),K_2))).
% 114.81/113.64  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)).
% 114.81/113.64  all M_1 N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),N_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N_1),M_1)).
% 114.81/113.64  all M_1 N_1 K_2 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),N_1)),K_2)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N_1),K_2))).
% 114.81/113.64  all A_2 B_1 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_2),B_1)),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_2),C_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,B_1),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_2),C_1)),hAPP_nat_nat(div_mod_nat(B_1),C_1))),C_1))).
% 114.81/113.64  all A_2 B_1 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_2),B_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,A_2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,B_1),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_2),hAPP_nat_nat(div_mod_nat(B_1),C_1))),C_1))).
% 114.81/113.64  all A_2 B_1 C_1 (hAPP_nat_nat(div_mod_nat(A_2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_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_1),hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,A_2),B_1)),C_1))),hAPP_nat_nat(div_mod_nat(A_2),B_1))).
% 114.81/113.64  all K_2 M_1 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M_1),K_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,N_1),K_2)))).
% 114.81/113.64  all M_1 N_1 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M_1),N_1)),M_1)).
% 114.81/113.64  all M_1 N_1 K_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_2))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_2),M_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_2),N_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M_1),N_1)).
% 114.81/113.64  all M_1 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),N_1)),N_1)=M_1).
% 114.81/113.64  all M_1 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N_1),M_1)),N_1)=M_1).
% 114.81/113.64  all M_1 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M_1),N_1)=zero_zero_nat).
% 114.81/113.64  all P_1 N K_1 (hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,N),K_1)))<-> (K_1=zero_zero_nat->hBOOL(hAPP_nat_bool(P_1,zero_zero_nat)))& (K_1!=zero_zero_nat-> (all I_2 J_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J_1),K_1))-> (N=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),I_2)),J_1)->hBOOL(hAPP_nat_bool(P_1,I_2))))))).
% 114.81/113.64  all K_2 N_1 M_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),M_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,K_2),N_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,K_2),M_1))))).
% 114.81/113.64  all M_1 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),N_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),M_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M_1),N_1)),M_1)))).
% 114.81/113.64  all N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,zero_zero_nat),N_1)=zero_zero_nat).
% 114.81/113.64  all M_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),zero_zero_nat)=zero_zero_nat).
% 114.81/113.64  all M N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),N)=zero_zero_nat<->M=zero_zero_nat|N=zero_zero_nat).
% 114.81/113.64  all K_1 M N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),M)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),N)<->K_1=zero_zero_nat|M=N).
% 114.81/113.64  all K_1 M N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),M)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),N)<->M=N|K_1=zero_zero_nat).
% 114.81/113.64  all M K_1 N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),K_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N),K_1)<->M=N|K_1=zero_zero_nat).
% 114.81/113.64  all M_1 N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N_1)=zero_zero_nat-> (hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_1),M_1)=zero_zero_nat->M_1=N_1)).
% 114.81/113.64  all M_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),M_1)=zero_zero_nat).
% 114.81/113.64  all M_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),zero_zero_nat)=M_1).
% 114.81/113.64  all N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,zero_zero_nat),N_1)=zero_zero_nat).
% 114.81/113.64  all P_1 M N ((hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_1,N),M)))-> ((M=N->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_1,N),M)))-> ((hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),M))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_1,N),M)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_1,N),M))))).
% 114.81/113.64  all S_2 T_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,S_2),T_2))->S_2!=T_2).
% 114.81/113.64  all N_1 M_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),M_1))->M_1!=N_1).
% 114.81/113.64  all N_1 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),N_1))).
% 114.81/113.64  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)))).
% 114.81/113.64  all M N (M!=N<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),M))).
% 114.81/113.64  all N_1 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),N_1))).
% 114.81/113.64  all L_2 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,M_1),L_2))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,L_2),N_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,L_2),M_1))))).
% 114.81/113.64  all N_1 J_2 K_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J_2),K_2))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J_2),N_1)),K_2))).
% 114.81/113.64  all M_1 N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N_1)),N_1)=M_1).
% 114.81/113.64  all N_1 M_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_1),M_1)),N_1)=M_1).
% 114.81/113.64  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))).
% 114.81/113.64  all K_2 M_1 N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_2),M_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_2),N_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N_1)).
% 114.81/113.64  all M_1 K_2 N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),K_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_1),K_2))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N_1)).
% 114.81/113.64  all M K_1 N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),K_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N),K_1)<->M=N).
% 114.81/113.64  all K_1 M N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_1),M)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_1),N)<->M=N).
% 114.81/113.64  all M_1 N_1 K_2 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N_1)),K_2)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_1),K_2))).
% 114.81/113.64  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))).
% 114.81/113.64  all M_1 N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_1),M_1)).
% 114.81/113.64  all K_2 M_1 N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_2),M_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_2),N_1))).
% 114.81/113.64  all M_1 N_1 K_2 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N_1)),K_2)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),K_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N_1),K_2))).
% 114.81/113.64  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)).
% 114.81/113.64  all M_1 N_1 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N_1)),M_1)).
% 114.81/113.64  all L_2 M_1 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,L_2),N_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,L_2),M_1)))).
% 114.81/113.64  all L_2 M_1 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),L_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_1),L_2)))).
% 114.81/113.64  all I N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),N_1))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_1),I))=I).
% 114.81/113.64  all N K_1 M (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),M))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),N))-> (hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),K_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),K_1)<->M=N))).
% 114.81/113.64  all N_1 K_2 M_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_2),M_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_2),N_1))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),K_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_1),K_2))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N_1))).
% 114.81/113.64  all N K_1 M (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),M))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),N))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),K_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),K_1)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))))).
% 114.81/113.64  all N_1 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),N_1)).
% 114.81/113.64  all M_1 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),M_1))).
% 114.81/113.64  all M_1 N_1 (M_1=N_1->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1))).
% 114.81/113.64  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)))).
% 114.81/113.64  all M_1 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),M_1))->M_1=N_1)).
% 114.81/113.64  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))))).
% 114.81/113.64  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)))).
% 114.81/113.64  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)))).
% 114.81/113.64  all M_1 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),M_1)))).
% 114.81/113.64  all M_1 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),M_1))).
% 114.81/113.64  all N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,one_one_nat),N_1)=N_1).
% 114.81/113.64  all M N (one_one_nat=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),N)<->M=one_one_nat&N=one_one_nat).
% 114.81/113.64  all N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N_1),one_one_nat)=N_1).
% 114.81/113.64  all M N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),N)=one_one_nat<->M=one_one_nat&N=one_one_nat).
% 114.81/113.64  all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),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,zero_zero_nat),N))).
% 114.81/113.64  all K_1 M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),N)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_1))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))).
% 114.81/113.64  all M K_1 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),K_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N),K_1)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_1))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))).
% 114.81/113.64  all M N K_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_1))-> (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),M)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),N)<->M=N)).
% 114.81/113.64  all M N K_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),N)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N)))).
% 114.81/113.64  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))))).
% 114.81/113.64  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))))).
% 114.81/113.64  all N_1 (N_1!=zero_zero_nat->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))).
% 114.81/113.64  all M_1 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1))->N_1!=zero_zero_nat).
% 114.81/113.64  all N_1 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),zero_zero_nat))).
% 114.81/113.64  all N (N!=zero_zero_nat<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))).
% 114.81/113.64  all N_1 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),zero_zero_nat))).
% 114.81/113.64  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(ord_less_nat,zero_zero_nat),M_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N_1)),M_1)))).
% 114.81/113.64  all N M (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),M)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))).
% 114.81/113.64  all N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,zero_zero_nat),N_1)=N_1).
% 114.81/113.64  all M_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),zero_zero_nat)=M_1).
% 114.81/113.64  all M N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),N)=zero_zero_nat<->M=zero_zero_nat&N=zero_zero_nat).
% 114.81/113.64  all M_1 N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N_1)=M_1->N_1=zero_zero_nat).
% 114.81/113.64  all N_1 M_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_1),M_1))=zero_zero_nat).
% 114.81/113.64  all M N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),N)=zero_zero_nat<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))).
% 114.81/113.64  all M_1 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N_1)=zero_zero_nat).
% 114.81/113.64  all N_1 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),N_1)).
% 114.81/113.64  all N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),zero_zero_nat))<->N=zero_zero_nat).
% 114.81/113.64  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))).
% 114.81/113.64  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))).
% 114.81/113.64  all K_1 M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_1),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_1),N)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))).
% 114.81/113.64  all M_1 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_1)))).
% 114.81/113.64  all M_1 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_1),J_2)))).
% 114.81/113.64  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)))).
% 114.81/113.64  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))))).
% 114.81/113.64  all M_1 N_1 K_2 L_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,K_2),L_2))-> (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),L_2)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_2),N_1)->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1)))).
% 114.81/113.64  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))).
% 114.81/113.64  all M_1 N_1 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N_1))=M_1).
% 114.81/113.64  all I_1 J K_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J),K_1)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_1),K_1)),J))).
% 114.81/113.64  all M_1 N_1 (M_1=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),N_1)->N_1=one_one_nat|M_1=zero_zero_nat).
% 114.81/113.64  all M_1 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1))|M_1=N_1->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1))).
% 114.81/113.64  all M_1 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1))-> (M_1!=N_1->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1)))).
% 114.81/113.64  all M_1 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1))).
% 114.81/113.64  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),N))|M=N).
% 114.81/113.64  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))&M!=N).
% 114.81/113.64  all N K_1 M (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),M))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),N))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),K_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),K_1)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))))).
% 114.81/113.64  all C_1 A_2 B_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_2),B_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_1),A_2))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,A_2),C_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,B_1),C_1))))).
% 114.81/113.64  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)).
% 114.81/113.64  all J K_1 I_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J),K_1)),I_1))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_1),K_1)))).
% 114.81/113.64  all M_1 K_2 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_2),N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_1),M_1)),K_2)))).
% 114.81/113.64  all N_1 M_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),M_1))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N_1))=M_1).
% 114.81/113.64  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)).
% 114.81/113.64  all I_1 K_1 J (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),J))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J),K_1)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_1),K_1)),J)))).
% 114.81/113.64  all N_1 M_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),M_1))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N_1)),N_1)=M_1).
% 114.81/113.64  all K_1 I_1 J (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_1),J))-> (hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J),I_1)=K_1<->J=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_1),I_1))).
% 114.81/113.64  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))).
% 114.81/113.64  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)).
% 114.81/113.64  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)).
% 114.81/113.64  all U M N I_1 J (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_1),J))-> (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,I_1),U)),M)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,J),U)),N)<->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),I_1)),U)),N))).
% 114.81/113.64  all U_1 M_1 N_1 I J_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),J_2))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,I),U_1)),M_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)),N_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J_2),I)),U_1)),N_1))).
% 114.81/113.64  all U M N I_1 J (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_1),J))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,I_1),U)),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,J),U)),N)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,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),I_1)),U)),N))))).
% 114.81/113.64  all U M N J I_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J),I_1))-> (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,I_1),U)),M)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,J),U)),N)<->hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,I_1),J)),U)),M)=N)).
% 114.81/113.64  all U_1 M_1 N_1 J_2 I (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J_2),I))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,I),U_1)),M_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)),N_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,I),J_2)),U_1)),M_1)),N_1)).
% 114.81/113.64  all U M N J I_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J),I_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,I_1),U)),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,J),U)),N)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,I_1),J)),U)),M)),N)))).
% 114.81/113.64  all M_1 K_2 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),K_2)),N_1))-> -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1))-> -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_2),N_1)))).
% 114.81/113.64  all M_1 K_2 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),K_2)),N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1))).
% 114.81/113.64  all M_1 K_2 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),K_2)),N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_2),N_1))).
% 114.81/113.64  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))))).
% 114.81/113.64  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)))).
% 114.81/113.64  all M_1 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_1),J_2)))).
% 114.81/113.64  all M_1 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_1)))).
% 114.81/113.64  all K_1 M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_1),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_1),N)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))).
% 114.81/113.64  all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))<-> (exists K (N=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),K)))).
% 114.81/113.64  all K_1 L (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),L))<-> (exists N_2 (L=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_1),N_2)))).
% 114.81/113.64  all N_1 M_1 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_1),M_1))).
% 114.81/113.64  all N_1 M_1 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N_1))).
% 114.81/113.64  all X_1 Y_2 Z_2 (X_1=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Y_2),Z_2)<->Y_2=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_1),Z_2)).
% 114.81/113.64  all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),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,zero_zero_nat),N))).
% 114.84/113.64  all P_1 Aa Ba (hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,Aa),Ba)))<-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Aa),Ba))->hBOOL(hAPP_nat_bool(P_1,zero_zero_nat)))& (all D_2 (Aa=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Ba),D_2)->hBOOL(hAPP_nat_bool(P_1,D_2))))).
% 114.84/113.64  all P_1 Aa Ba (hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,Aa),Ba)))<-> -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Aa),Ba))& -hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))| (exists D_2 (Aa=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Ba),D_2)& -hBOOL(hAPP_nat_bool(P_1,D_2)))))).
% 114.84/113.64  all M N K_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),N)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N)))).
% 114.84/113.64  all M K_1 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),K_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N),K_1)))<-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N)))).
% 114.84/113.64  all N P_1 (-hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))-> (hBOOL(hAPP_nat_bool(P_1,N))-> (exists K (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,K),N))& (all I_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),K))-> -hBOOL(hAPP_nat_bool(P_1,I_2))))&hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K),one_one_nat))))))).
% 114.84/113.64  all X N_1 Y (hAPP_nat_nat(div_mod_nat(X),N_1)=hAPP_nat_nat(div_mod_nat(Y),N_1)-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y),X))-> (exists Q_3 (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_1),Q_3)))))).
% 114.84/113.64  all M_1 D_3 R_3 (hAPP_nat_nat(div_mod_nat(M_1),D_3)=R_3-> (exists Q_3 (M_1=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,R_3),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Q_3),D_3))))).
% 114.84/113.64  all X_1 N Y_2 (hAPP_nat_nat(div_mod_nat(X_1),N)=hAPP_nat_nat(div_mod_nat(Y_2),N)<-> (exists Q1 Q2 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N),Q1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Y_2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N),Q2))))).
% 114.84/113.64  all M_6 D_4 (hAPP_nat_nat(div_mod_nat(M_6),D_4)=zero_zero_nat-> (exists Q_3 (M_6=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,D_4),Q_3)))).
% 114.84/113.64  all M K_1 F ((all M_2 N_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_2),N_2))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(F,M_2)),hAPP_nat_nat(F,N_2)))))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(F,M)),K_1)),hAPP_nat_nat(F,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),K_1))))).
% 114.84/113.64  all N P_1 (-hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))-> (hBOOL(hAPP_nat_bool(P_1,N))-> (exists K (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),N))& (all I_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),K))-> -hBOOL(hAPP_nat_bool(P_1,I_2))))&hBOOL(hAPP_nat_bool(P_1,K)))))).
% 114.84/113.64  all I J_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J_2))-> (exists K (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K))&hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I),K)=J_2))).
% 114.84/113.64  all N_1 M_1 K_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_2))-> (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_2),N_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_2),M_1)->N_1=M_1)).
% 114.84/113.64  all A_2 B_1 C_1 Q_1 R_3 (hBOOL(hAPP_P1555980039t_bool(divmod_nat_rel(B_1,C_1),hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,Q_1),R_3)))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),C_1))->hBOOL(hAPP_P1555980039t_bool(divmod_nat_rel(hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_2),B_1),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_2),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_2),R_3)),C_1))),hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_2),R_3)),C_1)))))).
% 114.84/113.64  all C_1 A_2 B_1 Q_1 R_3 (hBOOL(hAPP_P1555980039t_bool(divmod_nat_rel(A_2,B_1),hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,Q_1),R_3)))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),C_1))->hBOOL(hAPP_P1555980039t_bool(divmod_nat_rel(A_2,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_1),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_1),hAPP_nat_nat(div_mod_nat(Q_1),C_1))),R_3))))))).
% 114.84/113.64  all B_1 A_2 X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_2),X))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X),B_1))-> (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_2),Y_1))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_1),B_1)))))))).
% 114.84/113.64  all K_2 L_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_2),L_2))-> (exists N_2 (L_2=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_2),N_2)))).
% 114.84/113.64  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))))).
% 114.84/113.64  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)))))).
% 114.84/113.64  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)).
% 114.84/113.64  all Qr_2 M_1 N_1 Qr_1 (hBOOL(hAPP_P1555980039t_bool(divmod_nat_rel(M_1,N_1),Qr_1))-> (hBOOL(hAPP_P1555980039t_bool(divmod_nat_rel(M_1,N_1),Qr_2))->Qr_1=Qr_2)).
% 114.84/113.64  all N_1 (natceiling(hAPP_int_real(number267125858f_real,N_1))=hAPP_int_nat(number_number_of_nat,N_1)).
% 114.84/113.64  all M_1 N_1 Q_1 R_3 (hBOOL(hAPP_P1555980039t_bool(divmod_nat_rel(M_1,N_1),hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,Q_1),R_3)))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M_1),N_1)=Q_1).
% 114.84/113.64  all M_1 N_1 Q_1 R_3 (hBOOL(hAPP_P1555980039t_bool(divmod_nat_rel(M_1,N_1),hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,Q_1),R_3)))->hAPP_nat_nat(div_mod_nat(M_1),N_1)=R_3).
% 114.84/113.64  natceiling(zero_zero_real)=zero_zero_nat.
% 114.84/113.64  all X hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),natceiling(X))).
% 114.84/113.64  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)))).
% 114.84/113.64  natceiling(one_one_real)=one_one_nat.
% 114.84/113.64  all M_1 N_1 hBOOL(hAPP_P1555980039t_bool(divmod_nat_rel(M_1,N_1),hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M_1),N_1)),hAPP_nat_nat(div_mod_nat(M_1),N_1)))).
% 114.84/113.64  all X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),zero_zero_real))->natceiling(X)=zero_zero_nat).
% 114.84/113.64  all X_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,natceiling(X_1)),one_one_nat))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),one_one_real))).
% 114.84/113.64  all B_1 Bq Br A_2 C_1 Aq Ar (hBOOL(hAPP_P1555980039t_bool(divmod_nat_rel(A_2,C_1),hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,Aq),Ar)))-> (hBOOL(hAPP_P1555980039t_bool(divmod_nat_rel(B_1,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_2),B_1),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))))))).
% 114.84/113.64  all B_1 A_2 X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_2),X))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X),B_1))-> (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_2),Y_1))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_1),B_1)))))))).
% 114.84/113.64  all M_1 N_1 (-(all Q_3 R_1 (-hBOOL(hAPP_P1555980039t_bool(divmod_nat_rel(M_1,N_1),hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,Q_3),R_1)))))).
% 114.84/113.64  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)).
% 114.84/113.64  all N M (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N),M)=one_one_nat<->N=one_one_nat&M=one_one_nat).
% 114.84/113.64  all N_1 X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(real_nat,N_1)),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_1)),one_one_real)))->natceiling(X)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_1),one_one_nat))).
% 114.84/113.64  all X N_1 (-hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,N_1)))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X))->natceiling(hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X),hAPP_int_real(number267125858f_real,N_1)))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,natceiling(X)),hAPP_int_nat(number_number_of_nat,N_1)))).
% 114.84/113.64  all B_1 A_2 ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_1))->divmod_int(A_2,B_1)=posDivAlg(A_2,B_1))& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_1))-> (A_2=zero_zero_int->divmod_int(A_2,B_1)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,zero_zero_int),zero_zero_int))& (A_2!=zero_zero_int->divmod_int(A_2,B_1)=hAPP_P1975530577nt_int(negateSnd,negDivAlg(hAPP_int_int(uminus_uminus_int,A_2),hAPP_int_int(uminus_uminus_int,B_1))))))& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_1))->divmod_int(A_2,B_1)=negDivAlg(A_2,B_1))& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_1))->divmod_int(A_2,B_1)=hAPP_P1975530577nt_int(negateSnd,posDivAlg(hAPP_int_int(uminus_uminus_int,A_2),hAPP_int_int(uminus_uminus_int,B_1)))))).
% 114.84/113.64  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))).
% 114.84/113.64  all N_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_nat_real(real_nat,N_1))).
% 114.84/113.64  all N_1 (natfloor(hAPP_nat_real(real_nat,N_1))=N_1).
% 114.84/113.64  all N hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,hAPP_nat_real(real_nat,N)),ring_1_Ints_real)).
% 114.84/113.64  all N_1 (natfloor(hAPP_int_real(number267125858f_real,N_1))=hAPP_int_nat(number_number_of_nat,N_1)).
% 114.84/113.64  all N M (hAPP_nat_real(real_nat,N)=hAPP_nat_real(real_nat,M)<->N=M).
% 114.84/113.64  all V_2 ((hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_2)))->hAPP_nat_real(real_nat,hAPP_int_nat(number_number_of_nat,V_2))=zero_zero_real)& (-hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_2)))->hAPP_nat_real(real_nat,hAPP_int_nat(number_number_of_nat,V_2))=hAPP_int_real(number267125858f_real,V_2))).
% 114.84/113.64  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))).
% 114.84/113.64  all X A_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(real_nat,X)),A_2))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X),natfloor(A_2)))).
% 114.84/113.64  all X (hAPP_real_real(abs_abs_real,hAPP_nat_real(real_nat,X))=hAPP_nat_real(real_nat,X)).
% 114.84/113.64  -hBOOL(hAPP_int_bool(nat_neg,zero_zero_int)).
% 114.84/113.64  -hBOOL(hAPP_int_bool(nat_neg,one_one_int)).
% 114.84/113.64  all N_1 (natceiling(hAPP_nat_real(real_nat,N_1))=N_1).
% 114.84/113.64  all Aa X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Aa),natfloor(X_1)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(real_nat,Aa)),X_1)))).
% 114.84/113.64  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))).
% 114.84/113.64  all A_2 X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(real_nat,A_2)),X))->natfloor(hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X),hAPP_nat_real(real_nat,A_2)))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,natfloor(X)),A_2)).
% 114.84/113.64  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)))).
% 114.84/113.64  hAPP_nat_real(real_nat,zero_zero_nat)=zero_zero_real.
% 114.84/113.64  all N (hAPP_nat_real(real_nat,N)=zero_zero_real<->N=zero_zero_nat).
% 114.84/113.64  all N_1 (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(real_nat,N_1)),zero_zero_real))).
% 114.84/113.64  all N M (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(real_nat,N)),hAPP_nat_real(real_nat,M)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),M))).
% 114.84/113.64  all N M (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(real_nat,N)),hAPP_nat_real(real_nat,M)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),M))).
% 114.84/113.64  all N_1 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_1)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,natfloor(X)),N_1)))).
% 114.84/113.64  all M_1 N_1 (hAPP_nat_real(real_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),N_1))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,M_1)),hAPP_nat_real(real_nat,N_1))).
% 114.84/113.64  all A_2 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_2)))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,natfloor(X)),A_2)).
% 114.84/113.64  all M_1 N_1 (hAPP_nat_real(real_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N_1))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(real_nat,M_1)),hAPP_nat_real(real_nat,N_1))).
% 114.84/113.64  all Z_1 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,natfloor(Z_1)),one_one_nat)),N_1))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Z_1),hAPP_nat_real(real_nat,N_1)))).
% 114.84/113.64  all N_1 X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(real_nat,N_1)),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_1)),one_one_real)))->natfloor(X)=N_1)).
% 114.84/113.64  hAPP_nat_real(real_nat,one_one_nat)=one_one_real.
% 114.84/113.64  all X_1 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_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_int_nat(number_number_of_nat,N)),natfloor(X_1)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(number267125858f_real,N)),X_1))))).
% 114.84/113.64  all X hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),hAPP_nat_real(real_nat,natceiling(X)))).
% 114.84/113.64  all Z_6 (hBOOL(hAPP_int_bool(nat_neg,Z_6))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_6),zero_zero_int))).
% 114.84/113.64  all X_1 (-hBOOL(hAPP_int_bool(nat_neg,X_1))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))).
% 114.84/113.64  all V_2 (hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_2)))->hAPP_int_nat(number_number_of_nat,V_2)=zero_zero_nat).
% 114.84/113.64  hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,min))).
% 114.84/113.64  natfloor(zero_zero_real)=zero_zero_nat.
% 114.84/113.64  all X hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),natfloor(X))).
% 114.84/113.64  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)))).
% 114.84/113.64  natfloor(one_one_real)=one_one_nat.
% 114.84/113.64  all X N_1 (-hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,N_1)))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X))->natfloor(hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X),hAPP_int_real(number267125858f_real,N_1)))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,natfloor(X)),hAPP_int_nat(number_number_of_nat,N_1)))).
% 114.84/113.64  all N (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(real_nat,N)),zero_zero_real))<->N=zero_zero_nat).
% 114.84/113.64  all N_1 M_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),M_1))->hAPP_nat_real(real_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N_1))=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_nat_real(real_nat,M_1)),hAPP_nat_real(real_nat,N_1))).
% 114.84/113.64  all X A_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),hAPP_nat_real(real_nat,A_2)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,natceiling(X)),A_2))).
% 114.84/113.64  all V V_1 (hAPP_int_nat(number_number_of_nat,V)=hAPP_int_nat(number_number_of_nat,V_1)<-> (hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(number_number_of_int,V_1)),zero_zero_int)))& (-hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V)))-> (hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_1)))->hAPP_int_int(number_number_of_int,V)=zero_zero_int)& (-hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_1)))->V=V_1))).
% 114.84/113.64  all V_3 K_2 V_2 ((hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_2)))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,V_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,V_3)),K_2))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,V_3)),K_2))& (-hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_2)))-> (hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_3)))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,V_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,V_3)),K_2))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,V_2)),K_2))& (-hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_3)))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,V_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,V_3)),K_2))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_2),V_3))),K_2)))).
% 114.84/113.65  all X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),zero_zero_real))->natfloor(X)=zero_zero_nat).
% 114.84/113.65  all N (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(real_nat,N)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))).
% 114.84/113.65  all N M (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),M))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(real_nat,N)),one_one_real)),hAPP_nat_real(real_nat,M)))).
% 114.84/113.65  all Q_1 R_3 (hAPP_P1975530577nt_int(negateSnd,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Q_1),R_3))=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Q_1),hAPP_int_int(uminus_uminus_int,R_3))).
% 114.84/113.65  all N M (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),M))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(real_nat,N)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(real_nat,M)),one_one_real)))).
% 114.84/113.65  all Aa X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,natceiling(X_1)),Aa))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),hAPP_nat_real(real_nat,Aa))))).
% 114.84/113.65  all A_2 B_1 Qr_1 (hBOOL(hAPP_P603027463t_bool(divmod_int_rel(hAPP_int_int(uminus_uminus_int,A_2),hAPP_int_int(uminus_uminus_int,B_1)),Qr_1))->hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A_2,B_1),hAPP_P1975530577nt_int(negateSnd,Qr_1)))).
% 114.84/113.65  all A_2 X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(real_nat,A_2)),X))->natceiling(hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X),hAPP_nat_real(real_nat,A_2)))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,natceiling(X)),A_2)).
% 114.84/113.65  all A_2 B_1 (B_1!=zero_zero_int->hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A_2,B_1),divmod_int(A_2,B_1)))).
% 114.84/113.65  all X_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,one_one_nat),natfloor(X_1)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),X_1))).
% 114.84/113.65  all A_2 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_2)))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,natceiling(X)),A_2)).
% 114.84/113.65  all X_1 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_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,natceiling(X_1)),hAPP_int_nat(number_number_of_nat,N)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),hAPP_int_real(number267125858f_real,N)))))).
% 114.84/113.65  all B_1 A_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_2))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B_1))->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_2)),natfloor(B_1))),natfloor(hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_2),B_1)))))).
% 114.84/113.65  all R_3 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),R_3))-> (exists N_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(real_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_2),one_one_nat))),R_3))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,R_3),hAPP_nat_real(real_nat,N_2)))))).
% 114.84/113.65  all X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))-> (all Y_1 exists N_2 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_2)),X))))).
% 114.84/113.65  all X exists N_2 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X),hAPP_nat_real(real_nat,N_2))).
% 114.84/113.65  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)))))).
% 114.84/113.65  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)))))).
% 114.84/113.65  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))).
% 114.84/113.65  all B_1 A_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_2),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_1),zero_zero_int))->hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_2),B_1)=hAPP_P1175774780nt_int(product_fst_int_int,hAPP_P1975530577nt_int(negateSnd,posDivAlg(hAPP_int_int(uminus_uminus_int,A_2),hAPP_int_int(uminus_uminus_int,B_1)))))).
% 114.84/113.65  all B_1 A_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_2),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_1),zero_zero_int))->hAPP_int_int(div_mod_int(A_2),B_1)=hAPP_P1175774780nt_int(product_snd_int_int,hAPP_P1975530577nt_int(negateSnd,posDivAlg(hAPP_int_int(uminus_uminus_int,A_2),hAPP_int_int(uminus_uminus_int,B_1)))))).
% 114.84/113.65  all P_6 Q_4 (hAPP_P731461727l_real(produc1935615926l_real,P_6)=hAPP_P731461727l_real(produc1935615926l_real,Q_4)-> (hAPP_P731461727l_real(produc556554744l_real,P_6)=hAPP_P731461727l_real(produc556554744l_real,Q_4)->P_6=Q_4)).
% 114.84/113.65  all P_6 Q_4 (hAPP_P1654798560at_nat(product_fst_nat_nat,P_6)=hAPP_P1654798560at_nat(product_fst_nat_nat,Q_4)-> (hAPP_P1654798560at_nat(product_snd_nat_nat,P_6)=hAPP_P1654798560at_nat(product_snd_nat_nat,Q_4)->P_6=Q_4)).
% 114.84/113.65  all P_6 Q_4 (hAPP_P1175774780nt_int(product_fst_int_int,P_6)=hAPP_P1175774780nt_int(product_fst_int_int,Q_4)-> (hAPP_P1175774780nt_int(product_snd_int_int,P_6)=hAPP_P1175774780nt_int(product_snd_int_int,Q_4)->P_6=Q_4)).
% 114.84/113.65  all S_1 T (S_1=T<->hAPP_P731461727l_real(produc1935615926l_real,S_1)=hAPP_P731461727l_real(produc1935615926l_real,T)&hAPP_P731461727l_real(produc556554744l_real,S_1)=hAPP_P731461727l_real(produc556554744l_real,T)).
% 114.84/113.65  all S_1 T (S_1=T<->hAPP_P1654798560at_nat(product_fst_nat_nat,S_1)=hAPP_P1654798560at_nat(product_fst_nat_nat,T)&hAPP_P1654798560at_nat(product_snd_nat_nat,S_1)=hAPP_P1654798560at_nat(product_snd_nat_nat,T)).
% 114.84/113.65  all S_1 T (S_1=T<->hAPP_P1175774780nt_int(product_fst_int_int,S_1)=hAPP_P1175774780nt_int(product_fst_int_int,T)&hAPP_P1175774780nt_int(product_snd_int_int,S_1)=hAPP_P1175774780nt_int(product_snd_int_int,T)).
% 114.84/113.65  all T_4 (T_4=hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,hAPP_P731461727l_real(produc1935615926l_real,T_4)),hAPP_P731461727l_real(produc556554744l_real,T_4))).
% 114.84/113.65  all T_4 (T_4=hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,hAPP_P1654798560at_nat(product_fst_nat_nat,T_4)),hAPP_P1654798560at_nat(product_snd_nat_nat,T_4))).
% 114.84/113.65  all T_4 (T_4=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,hAPP_P1175774780nt_int(product_fst_int_int,T_4)),hAPP_P1175774780nt_int(product_snd_int_int,T_4))).
% 114.84/113.65  all T (T=hAPP_f538843494t_bool(hAPP_f1418982953t_bool(produc713279741t_bool,hAPP_P1477980390t_bool(produc926076176t_bool,T)),hAPP_P1477980390t_bool(produc840788306t_bool,T))).
% 114.84/113.65  all T_4 (T_4=hAPP_P230595783nt_int(hAPP_P941956607nt_int(produc883642259nt_int,hAPP_P141737927nt_int(produc1096438694nt_int,T_4)),hAPP_P141737927nt_int(produc1011150824nt_int,T_4))).
% 114.84/113.65  all T_4 (T_4=hAPP_Q1256397320de_int(hAPP_Q952608535de_int(produc1318306967de_int,hAPP_P1913525324de_int(produc1968959274de_int,T_4)),hAPP_P1913525324de_int(produc221809260de_int,T_4))).
% 114.84/113.65  all T_4 (T_4=hAPP_C2132160860umeral(hAPP_C1614127039umeral(produc2136830103umeral,hAPP_P619277728umeral(produc310214954umeral,T_4)),hAPP_P619277728umeral(produc1857364076umeral,T_4))).
% 114.84/113.65  all T_4 (T_4=hAPP_P369611207at_nat(hAPP_P402336767at_nat(produc494345619at_nat,hAPP_P1502442695at_nat(produc707142054at_nat,T_4)),hAPP_P1502442695at_nat(produc621854184at_nat,T_4))).
% 114.84/113.65  all T_4 (T_4=hAPP_P408881810nt_int(hAPP_i1730167831nt_int(produc282740534nt_int,hAPP_P1251258751nt_int(produc2110120675nt_int,T_4)),hAPP_P779853134nt_int(produc8341793nt_int,T_4))).
% 114.84/113.65  all P_5 (hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,hAPP_P731461727l_real(produc1935615926l_real,P_5)),hAPP_P731461727l_real(produc556554744l_real,P_5))=P_5).
% 114.84/113.65  all P_5 (hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,hAPP_P1654798560at_nat(product_fst_nat_nat,P_5)),hAPP_P1654798560at_nat(product_snd_nat_nat,P_5))=P_5).
% 114.84/113.65  all P_5 (hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,hAPP_P1175774780nt_int(product_fst_int_int,P_5)),hAPP_P1175774780nt_int(product_snd_int_int,P_5))=P_5).
% 114.84/113.65  all Pa (hAPP_f538843494t_bool(hAPP_f1418982953t_bool(produc713279741t_bool,hAPP_P1477980390t_bool(produc926076176t_bool,Pa)),hAPP_P1477980390t_bool(produc840788306t_bool,Pa))=Pa).
% 114.84/113.65  all P_5 (hAPP_P230595783nt_int(hAPP_P941956607nt_int(produc883642259nt_int,hAPP_P141737927nt_int(produc1096438694nt_int,P_5)),hAPP_P141737927nt_int(produc1011150824nt_int,P_5))=P_5).
% 114.84/113.65  all P_5 (hAPP_Q1256397320de_int(hAPP_Q952608535de_int(produc1318306967de_int,hAPP_P1913525324de_int(produc1968959274de_int,P_5)),hAPP_P1913525324de_int(produc221809260de_int,P_5))=P_5).
% 114.84/113.65  all P_5 (hAPP_C2132160860umeral(hAPP_C1614127039umeral(produc2136830103umeral,hAPP_P619277728umeral(produc310214954umeral,P_5)),hAPP_P619277728umeral(produc1857364076umeral,P_5))=P_5).
% 114.84/113.65  all P_5 (hAPP_P369611207at_nat(hAPP_P402336767at_nat(produc494345619at_nat,hAPP_P1502442695at_nat(produc707142054at_nat,P_5)),hAPP_P1502442695at_nat(produc621854184at_nat,P_5))=P_5).
% 114.84/113.65  all P_5 (hAPP_P408881810nt_int(hAPP_i1730167831nt_int(produc282740534nt_int,hAPP_P1251258751nt_int(produc2110120675nt_int,P_5)),hAPP_P779853134nt_int(produc8341793nt_int,P_5))=P_5).
% 114.84/113.65  all A_10 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(inverse_divide_rat,zero_zero_rat),A_10)=zero_zero_rat).
% 114.84/113.65  all A_10 (hAPP_complex_complex(hAPP_c172932010omplex(invers1025623611omplex,zero_zero_complex),A_10)=zero_zero_complex).
% 114.84/113.65  all A_10 (hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,zero_zero_real),A_10)=zero_zero_real).
% 114.84/113.65  all A_9 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(inverse_divide_rat,A_9),zero_zero_rat)=zero_zero_rat).
% 114.84/113.65  all A_9 (hAPP_complex_complex(hAPP_c172932010omplex(invers1025623611omplex,A_9),zero_zero_complex)=zero_zero_complex).
% 114.84/113.65  all A_9 (hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,A_9),zero_zero_real)=zero_zero_real).
% 114.84/113.65  all Y_8 (hAPP_complex_complex(hAPP_c172932010omplex(invers1025623611omplex,zero_zero_complex),Y_8)=zero_zero_complex).
% 114.84/113.65  all Y_8 (hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,zero_zero_real),Y_8)=zero_zero_real).
% 114.84/113.65  all X_7 Y_7 Z_5 W_2 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(inverse_divide_rat,X_7),Y_7)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(inverse_divide_rat,Z_5),W_2))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(inverse_divide_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,X_7),Z_5)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Y_7),W_2))).
% 114.84/113.65  all X_7 Y_7 Z_5 W_2 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(invers1025623611omplex,X_7),Y_7)),hAPP_complex_complex(hAPP_c172932010omplex(invers1025623611omplex,Z_5),W_2))=hAPP_complex_complex(hAPP_c172932010omplex(invers1025623611omplex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,X_7),Z_5)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Y_7),W_2))).
% 114.84/113.65  all X_7 Y_7 Z_5 W_2 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,X_7),Y_7)),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,Z_5),W_2))=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_7),Z_5)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Y_7),W_2))).
% 114.84/113.65  all A_8 B_8 C_6 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_8),hAPP_rat_rat(hAPP_rat_fun_rat_rat(inverse_divide_rat,B_8),C_6))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(inverse_divide_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_8),B_8)),C_6)).
% 114.84/113.65  all A_8 B_8 C_6 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_8),hAPP_complex_complex(hAPP_c172932010omplex(invers1025623611omplex,B_8),C_6))=hAPP_complex_complex(hAPP_c172932010omplex(invers1025623611omplex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_8),B_8)),C_6)).
% 114.84/113.65  all A_8 B_8 C_6 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_8),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,B_8),C_6))=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_8),B_8)),C_6)).
% 114.84/113.65  all A_7 B_7 C_5 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(inverse_divide_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_7),B_7)),C_5)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(inverse_divide_rat,A_7),C_5)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(inverse_divide_rat,B_7),C_5))).
% 114.84/113.65  all A_7 B_7 C_5 (hAPP_complex_complex(hAPP_c172932010omplex(invers1025623611omplex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_7),B_7)),C_5)=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(invers1025623611omplex,A_7),C_5)),hAPP_complex_complex(hAPP_c172932010omplex(invers1025623611omplex,B_7),C_5))).
% 114.84/113.65  all A_7 B_7 C_5 (hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_7),B_7)),C_5)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,A_7),C_5)),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,B_7),C_5))).
% 114.84/113.65  all X_6 Y_6 Ya_2 (hAPP_complex_complex(hAPP_c172932010omplex(invers1025623611omplex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,X_6),Y_6)),Ya_2)=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(invers1025623611omplex,X_6),Ya_2)),hAPP_complex_complex(hAPP_c172932010omplex(invers1025623611omplex,Y_6),Ya_2))).
% 114.84/113.65  all X_6 Y_6 Ya_2 (hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_6),Y_6)),Ya_2)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,X_6),Ya_2)),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,Y_6),Ya_2))).
% 114.84/113.65  all A_6 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(inverse_divide_rat,A_6),one_one_rat)=A_6).
% 114.84/113.65  all A_6 (hAPP_complex_complex(hAPP_c172932010omplex(invers1025623611omplex,A_6),one_one_complex)=A_6).
% 114.84/113.65  all A_6 (hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,A_6),one_one_real)=A_6).
% 114.84/113.65  all A_5 B_6 C_4 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(inverse_divide_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,A_5),B_6)),C_4)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(inverse_divide_rat,A_5),C_4)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(inverse_divide_rat,B_6),C_4))).
% 114.84/113.65  all A_5 B_6 C_4 (hAPP_complex_complex(hAPP_c172932010omplex(invers1025623611omplex,hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,A_5),B_6)),C_4)=hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,hAPP_complex_complex(hAPP_c172932010omplex(invers1025623611omplex,A_5),C_4)),hAPP_complex_complex(hAPP_c172932010omplex(invers1025623611omplex,B_6),C_4))).
% 114.84/113.65  all A_5 B_6 C_4 (hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,A_5),B_6)),C_4)=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,A_5),C_4)),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,B_6),C_4))).
% 114.84/113.65  all X_5 Y_5 Ya_1 (hAPP_complex_complex(hAPP_c172932010omplex(invers1025623611omplex,hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,X_5),Y_5)),Ya_1)=hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,hAPP_complex_complex(hAPP_c172932010omplex(invers1025623611omplex,X_5),Ya_1)),hAPP_complex_complex(hAPP_c172932010omplex(invers1025623611omplex,Y_5),Ya_1))).
% 114.84/113.65  all X_5 Y_5 Ya_1 (hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X_5),Y_5)),Ya_1)=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,X_5),Ya_1)),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,Y_5),Ya_1))).
% 114.84/113.65  all R_3 A_2 (hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,R_3),A_2)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,R_3),R_3))=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,A_2),R_3)).
% 114.84/113.65  all X_1 Y_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,X_1),Y_2)))<-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Y_2)))& (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,Y_2),zero_zero_real)))).
% 114.84/113.65  all F Aa Ba (hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(F,Aa)),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,Ba)),hAPP_real_real(F,Aa))),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Ba),Aa))),Aa))=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(F,Ba)),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,Ba)),hAPP_real_real(F,Aa))),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Ba),Aa))),Ba))).
% 114.84/113.65  all A_2 B_1 (hAPP_int_int(div_mod_int(A_2),B_1)=hAPP_P1175774780nt_int(product_snd_int_int,divmod_int(A_2,B_1))).
% 114.84/113.65  all A_2 B_1 (hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_2),B_1)=hAPP_P1175774780nt_int(product_fst_int_int,divmod_int(A_2,B_1))).
% 114.84/113.65  all N_1 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_1),X))),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_nat_real(real_nat,N_1)),hAPP_nat_real(real_nat,X)))).
% 114.84/113.65  all B_1 A_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_2),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_1))->hAPP_int_int(div_mod_int(A_2),B_1)=hAPP_P1175774780nt_int(product_snd_int_int,negDivAlg(A_2,B_1)))).
% 114.84/113.65  all B_1 A_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_2),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_1))->hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_2),B_1)=hAPP_P1175774780nt_int(product_fst_int_int,negDivAlg(A_2,B_1)))).
% 114.84/113.65  all B_1 A_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_1))->hAPP_int_int(div_mod_int(A_2),B_1)=hAPP_P1175774780nt_int(product_snd_int_int,posDivAlg(A_2,B_1)))).
% 114.84/113.65  all B_1 A_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_1))->hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_2),B_1)=hAPP_P1175774780nt_int(product_fst_int_int,posDivAlg(A_2,B_1)))).
% 114.84/113.65  all N_1 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_1)),hAPP_nat_real(real_nat,X))),hAPP_nat_real(real_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,N_1),X))))).
% 114.84/113.65  all N_1 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_1)),hAPP_nat_real(real_nat,X))),hAPP_nat_real(real_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,N_1),X)))),one_one_real)).
% 114.84/113.65  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)))).
% 114.84/113.65  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)))).
% 114.84/113.65  all B_1 A_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_1),zero_zero_int))->hAPP_int_int(div_mod_int(A_2),B_1)=hAPP_P1175774780nt_int(product_snd_int_int,hAPP_P1975530577nt_int(negateSnd,negDivAlg(hAPP_int_int(uminus_uminus_int,A_2),hAPP_int_int(uminus_uminus_int,B_1)))))).
% 114.84/113.65  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)))).
% 114.84/113.65  all B_1 A_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_1),zero_zero_int))->hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_2),B_1)=hAPP_P1175774780nt_int(product_fst_int_int,hAPP_P1975530577nt_int(negateSnd,negDivAlg(hAPP_int_int(uminus_uminus_int,A_2),hAPP_int_int(uminus_uminus_int,B_1)))))).
% 114.84/113.65  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)))))).
% 114.84/113.65  all S_1 T Aa Ba (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Aa),Ba))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,S_1),T))->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,Aa),S_1)),hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,Ba),T))),pair_less)))).
% 114.84/113.65  all V_3 V_2 ((hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_2)))->hAPP_nat_nat(div_mod_nat(hAPP_int_nat(number_number_of_nat,V_2)),hAPP_int_nat(number_number_of_nat,V_3))=zero_zero_nat)& (-hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_2)))-> (hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_3)))->hAPP_nat_nat(div_mod_nat(hAPP_int_nat(number_number_of_nat,V_2)),hAPP_int_nat(number_number_of_nat,V_3))=hAPP_int_nat(number_number_of_nat,V_2))& (-hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_3)))->hAPP_nat_nat(div_mod_nat(hAPP_int_nat(number_number_of_nat,V_2)),hAPP_int_nat(number_number_of_nat,V_3))=hAPP_int_nat(nat,hAPP_int_int(div_mod_int(hAPP_int_int(number_number_of_int,V_2)),hAPP_int_int(number_number_of_int,V_3)))))).
% 114.84/113.65  all V_3 V_2 ((hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_2)))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_int_nat(number_number_of_nat,V_2)),hAPP_int_nat(number_number_of_nat,V_3))=zero_zero_nat)& (-hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_2)))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_int_nat(number_number_of_nat,V_2)),hAPP_int_nat(number_number_of_nat,V_3))=hAPP_int_nat(nat,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(number_number_of_int,V_2)),hAPP_int_int(number_number_of_int,V_3))))).
% 114.84/113.65  all M_1 N_1 (divmod_nat(M_1,N_1)=hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M_1),N_1)),hAPP_nat_nat(div_mod_nat(M_1),N_1))).
% 114.84/113.65  all M_1 N_1 (hAPP_nat_nat(div_mod_nat(M_1),N_1)=hAPP_P1654798560at_nat(product_snd_nat_nat,divmod_nat(M_1,N_1))).
% 114.84/113.65  all M_1 N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M_1),N_1)=hAPP_P1654798560at_nat(product_fst_nat_nat,divmod_nat(M_1,N_1))).
% 114.84/113.65  all X (hAPP_real_real(arctan,hAPP_real_real(uminus_uminus_real,X))=hAPP_real_real(uminus_uminus_real,hAPP_real_real(arctan,X))).
% 114.84/113.65  all X_1 Y_2 P_1 ((hBOOL(P_1)->hAPP_int_nat(nat,X_1)=hAPP_int_nat(nat,hAPP_int_int(hAPP_int_fun_int_int(hAPP_b1463609396nt_int(if_int,P_1),X_1),Y_2)))& (-hBOOL(P_1)->hAPP_int_nat(nat,Y_2)=hAPP_int_nat(nat,hAPP_int_int(hAPP_int_fun_int_int(hAPP_b1463609396nt_int(if_int,P_1),X_1),Y_2)))).
% 114.84/113.65  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)))).
% 114.84/113.65  hAPP_real_real(arctan,zero_zero_real)=zero_zero_real.
% 114.84/113.65  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)))).
% 114.84/113.65  all X (natceiling(X)=hAPP_int_nat(nat,archim856651990g_real(X))).
% 114.84/113.65  hAPP_int_nat(nat,zero_zero_int)=zero_zero_nat.
% 114.84/113.65  zero_zero_nat=hAPP_int_nat(nat,zero_zero_int).
% 114.84/113.65  all Z_3 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))).
% 114.84/113.65  all P_1 ((exists X1 hBOOL(hAPP_nat_bool(P_1,X1)))<-> (exists X_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_2))&hBOOL(hAPP_nat_bool(P_1,hAPP_int_nat(nat,X_2)))))).
% 114.84/113.65  all P_1 ((all X1 hBOOL(hAPP_nat_bool(P_1,X1)))<-> (all X_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_2))->hBOOL(hAPP_nat_bool(P_1,hAPP_int_nat(nat,X_2)))))).
% 114.84/113.65  all Y_2 X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y_2))-> (hAPP_int_nat(nat,X_1)=hAPP_int_nat(nat,Y_2)<->X_1=Y_2))).
% 114.84/113.65  all V_2 (hAPP_int_nat(number_number_of_nat,V_2)=hAPP_int_nat(nat,hAPP_int_int(number_number_of_int,V_2))).
% 114.84/113.65  all W (hAPP_int_nat(nat,hAPP_int_int(number_number_of_int,W))=hAPP_int_nat(number_number_of_nat,W)).
% 114.84/113.65  one_one_nat=hAPP_int_nat(nat,one_one_int).
% 114.84/113.65  all Z_1 (hBOOL(hAPP_int_bool(nat_neg,Z_1))->hAPP_int_nat(nat,Z_1)=zero_zero_nat).
% 114.84/113.65  all X (natfloor(X)=hAPP_int_nat(nat,archim1246769320r_real(X))).
% 114.84/113.65  all M_1 N_1 hBOOL(hAPP_P1555980039t_bool(divmod_nat_rel(M_1,N_1),divmod_nat(M_1,N_1))).
% 114.84/113.65  all M_1 N_1 Qr_1 (hBOOL(hAPP_P1555980039t_bool(divmod_nat_rel(M_1,N_1),Qr_1))->divmod_nat(M_1,N_1)=Qr_1).
% 114.84/113.65  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).
% 114.84/113.65  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))).
% 114.84/113.65  all W_1 Z_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Z_2))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_int_nat(nat,W_1)),hAPP_int_nat(nat,Z_2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),Z_2)))).
% 114.84/113.65  all W_1 Z_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_int_nat(nat,W_1)),hAPP_int_nat(nat,Z_2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Z_2))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),Z_2))).
% 114.84/113.65  all Y_2 X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y_2))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_int_nat(nat,X_1)),hAPP_int_nat(nat,Y_2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_2))))).
% 114.84/113.65  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)))).
% 114.84/113.65  all M N Qr (hBOOL(hAPP_P1555980039t_bool(divmod_nat_rel(M,N),Qr))<->M=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_P1654798560at_nat(product_fst_nat_nat,Qr)),N)),hAPP_P1654798560at_nat(product_snd_nat_nat,Qr))& (N=zero_zero_nat->hAPP_P1654798560at_nat(product_fst_nat_nat,Qr)=zero_zero_nat)& (N!=zero_zero_nat-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),hAPP_P1654798560at_nat(product_snd_nat_nat,Qr)))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_P1654798560at_nat(product_snd_nat_nat,Qr)),N)))& (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),hAPP_P1654798560at_nat(product_snd_nat_nat,Qr)))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_P1654798560at_nat(product_snd_nat_nat,Qr)),zero_zero_nat))))).
% 114.84/113.65  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))).
% 114.84/113.65  all Z_2 W_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),W_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_int_nat(nat,W_1)),hAPP_int_nat(nat,Z_2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),Z_2)))).
% 114.84/113.65  all Y_2 X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y_2))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_int_nat(nat,X_1)),hAPP_int_nat(nat,Y_2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_2))))).
% 114.84/113.65  all Z_2 W_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),W_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Z_2))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_int_nat(nat,W_1)),hAPP_int_nat(nat,Z_2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,W_1),Z_2)))).
% 114.84/113.65  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))).
% 114.84/113.65  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)))).
% 114.84/113.65  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)))).
% 114.84/113.65  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)))).
% 114.84/113.65  all M_1 (divmod_nat(M_1,zero_zero_nat)=hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,zero_zero_nat),M_1)).
% 114.84/113.65  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)))).
% 114.84/113.65  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)))).
% 114.84/113.65  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))).
% 114.84/113.65  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)))).
% 114.84/113.65  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)))).
% 114.84/113.65  all S_1 T Aa Ba (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Aa),Ba))->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,Aa),S_1)),hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,Ba),T))),pair_less))).
% 114.84/113.65  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)))).
% 114.84/113.65  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)))).
% 114.84/113.65  all M_1 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1))->divmod_nat(M_1,N_1)=hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,zero_zero_nat),M_1)).
% 114.84/113.65  all I N_1 (hAPP_nat_nat(nat_aux(I),N_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(nat,I)),N_1)).
% 114.84/113.65  hBOOL(hAPP_f448129468l_bool(nat_tr876908586nt_nat(nat),hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int))).
% 114.84/113.65  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(ord_less_e_q_nat,N_1),M_1))->divmod_nat(M_1,N_1)=hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N_1)),N_1))),hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N_1)),N_1)))).
% 114.84/113.65  all V_3 ((hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_3)))->hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(suc,zero_zero_nat)),hAPP_int_nat(number_number_of_nat,V_3))=hAPP_nat_nat(suc,zero_zero_nat))& (-hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_3)))->hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(suc,zero_zero_nat)),hAPP_int_nat(number_number_of_nat,V_3))=hAPP_int_nat(nat,hAPP_int_int(div_mod_int(one_one_int),hAPP_int_int(number_number_of_int,V_3))))).
% 114.84/113.65  all V_3 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(suc,zero_zero_nat)),hAPP_int_nat(number_number_of_nat,V_3))=hAPP_int_nat(nat,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,one_one_int),hAPP_int_int(number_number_of_int,V_3)))).
% 114.84/113.65  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))))).
% 114.84/113.65  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(suc,M_1)),hAPP_nat_nat(suc,N_1)))).
% 114.84/113.65  all N_1 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),hAPP_nat_nat(suc,N_1))).
% 114.84/113.65  all N_1 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(suc,N_1))).
% 114.84/113.65  all X Y (hAPP_nat_nat(suc,X)=hAPP_nat_nat(suc,Y)->X=Y).
% 114.84/113.65  all Nat_5 Nat_4 (hAPP_nat_nat(suc,Nat_5)=hAPP_nat_nat(suc,Nat_4)<->Nat_5=Nat_4).
% 114.84/113.65  all N_1 (hAPP_nat_nat(suc,N_1)!=N_1).
% 114.84/113.65  all N_1 (N_1!=hAPP_nat_nat(suc,N_1)).
% 114.84/113.65  all M_1 (zero_zero_nat!=hAPP_nat_nat(suc,M_1)).
% 114.84/113.65  all Nat_3 (zero_zero_nat!=hAPP_nat_nat(suc,Nat_3)).
% 114.84/113.65  all M_1 (hAPP_nat_nat(suc,M_1)!=zero_zero_nat).
% 114.84/113.65  all Nat_2 (hAPP_nat_nat(suc,Nat_2)!=zero_zero_nat).
% 114.84/113.65  all M_1 (zero_zero_nat!=hAPP_nat_nat(suc,M_1)).
% 114.84/113.65  all M_1 (hAPP_nat_nat(suc,M_1)!=zero_zero_nat).
% 114.84/113.65  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,N),hAPP_nat_nat(suc,M)))).
% 114.84/113.65  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).
% 114.84/113.65  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))).
% 114.84/113.65  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)))<->N=M)).
% 114.84/113.65  all N_1 M_1 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),M_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),hAPP_nat_nat(suc,M_1)))->M_1=N_1)).
% 114.84/113.65  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,M_1),hAPP_nat_nat(suc,N_1)))).
% 114.84/113.65  all M_1 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1))-> (hAPP_nat_nat(suc,M_1)!=N_1->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,M_1)),N_1)))).
% 114.84/113.65  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)))).
% 114.84/113.65  all M_1 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),hAPP_nat_nat(suc,N_1)))-> (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1))->M_1=N_1)).
% 114.84/113.65  all M_1 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,M_1)),N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1))).
% 114.84/113.65  all M_1 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,M_1)),hAPP_nat_nat(suc,N_1)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1))).
% 114.84/113.65  all M_1 N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),hAPP_nat_nat(suc,N_1))=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N_1))).
% 114.84/113.65  all M_1 N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(suc,M_1)),N_1)=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N_1))).
% 114.84/113.65  all M_1 N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(suc,M_1)),N_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),hAPP_nat_nat(suc,N_1))).
% 114.84/113.65  all M_1 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,M_1)),N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1))).
% 114.84/113.65  all M_1 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),hAPP_nat_nat(suc,N_1)))-> (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1))->M_1=hAPP_nat_nat(suc,N_1))).
% 114.84/113.65  all M_1 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),hAPP_nat_nat(suc,N_1)))).
% 114.84/113.65  all N M (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,N)),hAPP_nat_nat(suc,M)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),M))).
% 114.84/113.65  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)).
% 114.84/113.65  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(suc,N)),M))).
% 114.84/113.65  all N_1 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,N_1)),N_1))).
% 114.84/113.65  all K_1 M N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,K_1)),M)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,K_1)),N)<->M=N).
% 114.84/113.65  all M_1 N_1 K_2 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(suc,M_1)),N_1)),hAPP_nat_nat(suc,K_2))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N_1)),K_2)).
% 114.84/113.65  all M_1 N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(suc,M_1)),hAPP_nat_nat(suc,N_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N_1)).
% 114.84/113.65  all M_1 N_1 (hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(suc,M_1)),N_1)=hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(suc,hAPP_nat_nat(div_mod_nat(M_1),N_1))),N_1)).
% 114.84/113.65  all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),hAPP_nat_nat(suc,N)))<->M=zero_zero_nat| (exists J_1 (M=hAPP_nat_nat(suc,J_1)&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J_1),N))))).
% 114.84/113.65  all N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),hAPP_nat_nat(suc,zero_zero_nat)))<->N=zero_zero_nat).
% 114.84/113.65  all N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))<-> (exists M_2 (N=hAPP_nat_nat(suc,M_2)))).
% 114.84/113.65  all M N (hAPP_nat_nat(suc,zero_zero_nat)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),N)<->M=hAPP_nat_nat(suc,zero_zero_nat)&N=zero_zero_nat|M=zero_zero_nat&N=hAPP_nat_nat(suc,zero_zero_nat)).
% 114.84/113.65  all M N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),N)=hAPP_nat_nat(suc,zero_zero_nat)<->M=hAPP_nat_nat(suc,zero_zero_nat)&N=zero_zero_nat|M=zero_zero_nat&N=hAPP_nat_nat(suc,zero_zero_nat)).
% 114.84/113.65  all M N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),N)=hAPP_nat_nat(suc,zero_zero_nat)<->M=hAPP_nat_nat(suc,zero_zero_nat)&N=hAPP_nat_nat(suc,zero_zero_nat)).
% 114.84/113.65  all I M_1 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_1)))).
% 114.84/113.65  all I M_1 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_1),I)))).
% 114.84/113.65  all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))<-> (exists K (N=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),K))))).
% 114.84/113.65  one_one_nat=hAPP_nat_nat(suc,zero_zero_nat).
% 114.84/113.65  all M_1 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,M_1)),N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1))).
% 114.84/113.65  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,N),hAPP_nat_nat(suc,M)))<->N=M)).
% 114.84/113.65  all M_1 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,M_1)),N_1))).
% 114.84/113.65  all M_1 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),hAPP_nat_nat(suc,N_1)))).
% 114.84/113.65  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))).
% 114.84/113.65  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_e_q_nat,M),N))).
% 114.84/113.65  all N M (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),M))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,N)),M))).
% 114.84/113.65  all K_1 M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,K_1)),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,K_1)),N)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))).
% 114.84/113.65  all M_1 N_1 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N_1)),hAPP_nat_nat(suc,M_1))).
% 114.84/113.65  all M_1 N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,M_1)),N_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),N_1))).
% 114.84/113.65  all M_1 N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),hAPP_nat_nat(suc,N_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),N_1))).
% 114.84/113.65  all K_1 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_nat_nat(suc,K_1)),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,K_1)),N)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))).
% 114.84/113.65  all N_1 (hAPP_nat_nat(suc,N_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),N_1)).
% 114.84/113.65  all N_1 (hAPP_nat_nat(suc,N_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_1),one_one_nat)).
% 114.84/113.65  all N_1 M_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),M_1))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(suc,M_1)),N_1)=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N_1))).
% 114.84/113.65  all N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(suc,N_1)),one_one_nat)=N_1).
% 114.84/113.65  all M_1 N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),hAPP_nat_nat(suc,N_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),one_one_nat)),N_1)).
% 114.84/113.65  all M_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M_1),hAPP_nat_nat(suc,zero_zero_nat))=M_1).
% 114.84/113.65  all M_1 N_1 ((hAPP_nat_nat(suc,hAPP_nat_nat(div_mod_nat(M_1),N_1))=N_1->hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(suc,M_1)),N_1)=zero_zero_nat)& (hAPP_nat_nat(suc,hAPP_nat_nat(div_mod_nat(M_1),N_1))!=N_1->hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(suc,M_1)),N_1)=hAPP_nat_nat(suc,hAPP_nat_nat(div_mod_nat(M_1),N_1)))).
% 114.84/113.65  all M_1 (hAPP_nat_nat(div_mod_nat(M_1),hAPP_nat_nat(suc,zero_zero_nat))=zero_zero_nat).
% 114.84/113.65  all M_1 K_2 (M_1!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),K_2)-> (M_1!=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_1)))).
% 114.84/113.65  all M_1 K_2 (M_1!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),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_1),K_2)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),K_2)))).
% 114.84/113.65  all M_1 K_2 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_2))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),M_1))-> (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),N_1)=K_2->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),K_2)))))).
% 114.84/113.65  all N_1 M_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),M_1))-> (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),N_1)=M_1->N_1=hAPP_nat_nat(suc,zero_zero_nat))).
% 114.84/113.65  all M_1 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),N_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),M_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),N_1))))).
% 114.84/113.65  all M_1 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),N_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),M_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N_1),M_1))))).
% 114.84/113.65  all M_1 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),N_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),M_1))->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_1),N_1))))).
% 114.84/113.65  all I N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_1),hAPP_nat_nat(suc,I))),N_1))).
% 114.84/113.65  all N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))->hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_1),hAPP_nat_nat(suc,zero_zero_nat)))=N_1).
% 114.84/113.65  all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,zero_zero_nat)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),N)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,zero_zero_nat)),M))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,zero_zero_nat)),N))).
% 114.84/113.65  all N_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(real_nat,hAPP_nat_nat(suc,N_1)))).
% 114.84/113.65  hAPP_int_nat(nat,one_one_int)=hAPP_nat_nat(suc,zero_zero_nat).
% 114.84/113.65  hAPP_nat_real(real_nat,hAPP_nat_nat(suc,zero_zero_nat))=one_one_real.
% 114.84/113.65  all M_1 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_1),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_1),K_2)),hAPP_nat_nat(suc,J_2))).
% 114.84/113.65  all M_1 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_1)=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_1))).
% 114.84/113.65  all N_1 (hAPP_nat_real(real_nat,hAPP_nat_nat(suc,N_1))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(real_nat,N_1)),one_one_real)).
% 114.84/113.65  all K_2 N_1 M_1 (hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_2),N_1)),M_1))),N_1)=hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(suc,M_1)),N_1)).
% 114.84/113.65  all N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))->hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_1),one_one_nat))=N_1).
% 114.84/113.65  all N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))->N_1=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_1),one_one_nat))).
% 114.84/113.65  all N_1 M_1 ((M_1=zero_zero_nat->hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N_1)=N_1)& (M_1!=zero_zero_nat->hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N_1)=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),one_one_nat)),N_1)))).
% 114.84/113.65  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(ord_less_nat,M_1),N_1))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M_1),N_1)=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N_1)),N_1)))).
% 114.84/113.65  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(ord_less_nat,M_1),N_1))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M_1),N_1)=zero_zero_nat)& (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M_1),N_1)=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N_1)),N_1)))).
% 114.84/113.65  all M_1 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_1))),K_2)=one_one_nat).
% 114.84/113.65  all N_1 X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(real_nat,N_1)),X))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X),hAPP_nat_real(real_nat,hAPP_nat_nat(suc,N_1))))->hAPP_int_nat(nat,archim1246769320r_real(X))=N_1)).
% 114.84/113.65  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))).
% 114.84/113.65  all V_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_int_nat(number_number_of_nat,V_2)))->hAPP_int_nat(number_number_of_nat,V_2)=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_int_nat(number_number_of_nat,V_2)),one_one_nat))).
% 114.84/113.65  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))).
% 114.84/113.65  all Qa 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(hAPP_nat_fun_nat_nat(times_times_nat,N),Qa)),M))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N),hAPP_nat_nat(suc,Qa))))<->Qa=hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M),N))).
% 114.84/113.65  all P_1 M N (hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M),N)))<->N=zero_zero_nat&hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))| (exists Q_3 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N),Q_3)),M))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N),hAPP_nat_nat(suc,Q_3))))&hBOOL(hAPP_nat_bool(P_1,Q_3))))).
% 114.84/113.65  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(ord_less_e_q_nat,N_1),M_1))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M_1),N_1)=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N_1)),N_1)))).
% 114.84/113.65  all N_1 X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(real_nat,N_1)),X))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X),hAPP_nat_real(real_nat,hAPP_nat_nat(suc,N_1))))->hAPP_int_nat(nat,archim1246769320r_real(X))=N_1)).
% 114.84/113.65  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_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N_2)),Y)),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_2))),Y))))))).
% 114.84/113.65  all R_3 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),R_3))-> (exists N_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(real_nat,N_2)),R_3))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,R_3),hAPP_nat_real(real_nat,hAPP_nat_nat(suc,N_2))))))).
% 114.84/113.65  all A_2 C_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(suc,A_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_2),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_2),C_1)),hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(suc,zero_zero_nat)),C_1))),C_1))).
% 114.84/113.65  all I_1 P_1 Pa ((all I_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),Pa))-> (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)),Pa))))))-> (hBOOL(hAPP_nat_bool(P_1,I_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),Pa))->hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))))).
% 114.84/113.65  all J I_1 P_1 Pa ((all I_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),Pa))-> (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)),Pa))))))-> (hBOOL(hAPP_nat_bool(P_1,I_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),Pa))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J),Pa))->hBOOL(hAPP_nat_bool(P_1,J)))))).
% 114.84/113.65  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))))).
% 114.84/113.65  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)).
% 114.84/113.65  all M_1 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1))-> (exists K (N_1=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),K))))).
% 114.84/113.65  all M No F ((all N_2 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(F,N_2)),hAPP_nat_real(F,hAPP_nat_nat(suc,N_2)))))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(F,M)),hAPP_nat_real(F,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),No))))).
% 114.84/113.65  all N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))-> (exists M_2 (N_1=hAPP_nat_nat(suc,M_2)))).
% 114.84/113.65  all N_1 V_2 ((hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_2)))->hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,V_2)),N_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),N_1))& (-hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_2)))->hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,V_2)),N_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(succ,V_2))),N_1))).
% 114.84/113.65  all I_1 P_1 K_1 (hBOOL(hAPP_nat_bool(P_1,K_1))-> ((all N_2 (hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(suc,N_2)))->hBOOL(hAPP_nat_bool(P_1,N_2))))->hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,K_1),I_1))))).
% 114.84/113.65  all N_1 M_5 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,N_1)),M_5))-> (exists M_2 (M_5=hAPP_nat_nat(suc,M_2)))).
% 114.84/113.65  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))))).
% 114.84/113.65  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)))).
% 114.84/113.65  all N_1 (N_1!=zero_zero_nat-> (exists M_2 (N_1=hAPP_nat_nat(suc,M_2)))).
% 114.84/113.65  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)).
% 114.84/113.65  all K_2 (hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,K_2),min)=hAPP_int_int(succ,K_2)).
% 114.84/113.65  all V_2 ((hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_2)))->hAPP_nat_nat(suc,hAPP_int_nat(number_number_of_nat,V_2))=one_one_nat)& (-hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_2)))->hAPP_nat_nat(suc,hAPP_int_nat(number_number_of_nat,V_2))=hAPP_int_nat(number_number_of_nat,hAPP_int_int(succ,V_2)))).
% 114.84/113.65  all P_1 (-hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))-> ((exists X1 hBOOL(hAPP_nat_bool(P_1,X1)))-> (exists N_2 (-hBOOL(hAPP_nat_bool(P_1,N_2))&hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(suc,N_2))))))).
% 114.84/113.65  all Y (Y!=zero_zero_nat-> -(all Nat_1 (Y!=hAPP_nat_nat(suc,Nat_1)))).
% 114.84/113.65  all P_1 K_1 (hBOOL(hAPP_nat_bool(P_1,K_1))-> ((all N_2 (hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(suc,N_2)))->hBOOL(hAPP_nat_bool(P_1,N_2))))->hBOOL(hAPP_nat_bool(P_1,zero_zero_nat)))).
% 114.84/113.65  all N P_1 (hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))-> ((all N_2 (hBOOL(hAPP_nat_bool(P_1,N_2))->hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(suc,N_2)))))->hBOOL(hAPP_nat_bool(P_1,N)))).
% 114.84/113.65  all K_2 M_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),M_1))-> (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_1)),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_1),hAPP_nat_nat(suc,zero_zero_nat))))).
% 114.84/113.65  all S_1 T Aa Ba (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Aa),Ba))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,S_1),T))->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,Aa),S_1)),hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,Ba),T))),pair_le_q)))).
% 114.84/113.65  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))).
% 114.84/113.65  all X M_1 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_1)),Y)),M_1)=hAPP_int_int(div_mod_int(hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X),Y)),M_1)).
% 114.84/113.65  all N_1 X (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X),N_1)))).
% 114.84/113.65  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))).
% 114.84/113.65  all X N_1 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(abs_abs_int,X)),N_1))).
% 114.84/113.65  all X_1 N (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(abs_abs_int,X_1)),N)))<->X_1!=zero_zero_int|N=zero_zero_nat).
% 114.84/113.65  all A_2 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_2),hAPP_int_nat(nat,P_3))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_2),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_int_nat(nat,P_3)),one_one_nat)))).
% 114.84/113.66  all S_1 T Aa Ba (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Aa),Ba))->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,Aa),S_1)),hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,Ba),T))),pair_le_q))).
% 114.84/113.66  all M_1 N_1 (hAPP_nat_real(real_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,M_1),N_1))=hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_nat_real(real_nat,M_1)),N_1)).
% 114.84/113.66  all M_1 N_1 (hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_nat_real(real_nat,M_1)),N_1)=hAPP_nat_real(real_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,M_1),N_1))).
% 114.84/113.66  all N_1 X (X=hAPP_nat_real(real_nat,natfloor(X))->natfloor(hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X),N_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,natfloor(X)),N_1)).
% 114.84/113.66  all M N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,M),N)=zero_zero_nat<->N!=zero_zero_nat&M=zero_zero_nat).
% 114.84/113.66  all X_1 N Y_2 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_1),hAPP_nat_nat(suc,N))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,Y_2),hAPP_nat_nat(suc,N))<->X_1=Y_2).
% 114.84/113.66  all X_1 M (hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_1),M)=hAPP_nat_nat(suc,zero_zero_nat)<->M=zero_zero_nat|X_1=hAPP_nat_nat(suc,zero_zero_nat)).
% 114.84/113.66  all N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,hAPP_nat_nat(suc,zero_zero_nat)),N_1)=hAPP_nat_nat(suc,zero_zero_nat)).
% 114.84/113.66  all X_1 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_1),N)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X_1))|N=zero_zero_nat).
% 114.84/113.66  all M_1 N_1 I (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),I))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,I),M_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,I),N_1)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1)))).
% 114.84/113.66  all N_1 I (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,zero_zero_nat)),I))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,zero_zero_nat)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,I),N_1)))).
% 114.84/113.66  all X_1 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_1),N)))<->N=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X_1))).
% 114.84/113.66  all X_1 N Y_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_1),hAPP_nat_nat(suc,N))),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,Y_2),hAPP_nat_nat(suc,N))))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_2))).
% 114.84/113.66  all X_1 N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_1),N)=one_one_nat<->X_1=one_one_nat|N=zero_zero_nat).
% 114.84/113.66  all X_1 N Y_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_1),hAPP_nat_nat(suc,N))),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,Y_2),hAPP_nat_nat(suc,N))))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_2))).
% 114.84/113.66  all X_1 W_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_1),hAPP_int_nat(number_number_of_nat,W_1))))<->hAPP_int_nat(number_number_of_nat,W_1)=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X_1))).
% 114.84/113.66  all P_3 M_1 ((M_1=zero_zero_nat->hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,P_3),M_1)=one_one_nat)& (M_1!=zero_zero_nat->hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,P_3),M_1)=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_1),one_one_nat))))).
% 114.84/113.66  all N_1 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_1)=hAPP_int_nat(nat,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X),N_1))).
% 114.84/113.66  all N_1 Z_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Z_1))->hAPP_int_nat(nat,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,Z_1),N_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,hAPP_int_nat(nat,Z_1)),N_1)).
% 114.84/113.66  all W V_2 ((hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_2)))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,hAPP_int_nat(number_number_of_nat,V_2)),hAPP_int_nat(number_number_of_nat,W))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,zero_zero_nat),hAPP_int_nat(number_number_of_nat,W)))& (-hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_2)))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,hAPP_int_nat(number_number_of_nat,V_2)),hAPP_int_nat(number_number_of_nat,W))=hAPP_int_nat(nat,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(number_number_of_int,V_2)),hAPP_int_nat(number_number_of_nat,W))))).
% 114.84/113.66  all N_1 V_2 ((hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_2)))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,hAPP_int_nat(number_number_of_nat,V_2)),N_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,zero_zero_nat),N_1))& (-hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_2)))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,hAPP_int_nat(number_number_of_nat,V_2)),N_1)=hAPP_int_nat(nat,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(number_number_of_int,V_2)),N_1)))).
% 114.84/113.66  all N_1 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_1)),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_1)))).
% 114.84/113.66  all A_2 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_2))-> (exists R_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),R_1))&hAPP_nat_real(hAPP_r474017924t_real(power_power_real,R_1),N_1)=A_2)))).
% 114.84/113.66  all A_2 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_2))-> (exists X_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_2))&hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_2),N_1)=A_2& (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_1)=A_2->Y_1=X_2)))))).
% 114.84/113.66  all N_1 (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(number_number_of_int,min)),N_1)=one_one_int|hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(number_number_of_int,min)),N_1)=hAPP_int_int(number_number_of_int,min)).
% 114.84/113.66  all N_1 A_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_2))-> (exists R_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),R_1))&hAPP_nat_real(hAPP_r474017924t_real(power_power_real,R_1),hAPP_nat_nat(suc,N_1))=A_2))).
% 114.84/113.66  all X_1 (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),zEven))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))->hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(number_number_of_int,min)),hAPP_int_nat(nat,X_1))=one_one_int)).
% 114.84/113.66  all X_1 (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),zOdd))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))->hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(number_number_of_int,min)),hAPP_int_nat(nat,X_1))=hAPP_int_int(number_number_of_int,min))).
% 114.84/113.66  all Y_2 X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y_2))-> ((hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),zEven))<->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Y_2),zEven)))->hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(number_number_of_int,min)),hAPP_int_nat(nat,X_1))=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(number_number_of_int,min)),hAPP_int_nat(nat,Y_2))))).
% 114.84/113.66  all N_1 X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(real_int,N_1)),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_1)),one_one_real)))->archim856651990g_real(X)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,N_1),one_one_int))).
% 114.84/113.66  all Aa X_1 (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),zOdd))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))->hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(uminus_uminus_int,Aa)),hAPP_int_nat(nat,X_1))=hAPP_int_int(uminus_uminus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,Aa),hAPP_int_nat(nat,X_1))))).
% 114.84/113.66  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)))).
% 114.84/113.66  all X_1 (-(hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),zOdd))&hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),zEven)))).
% 114.84/113.66  all X_1 (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),zOdd))<-> -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),zEven))).
% 114.84/113.66  all X_1 (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),zOdd))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),zEven))).
% 114.84/113.66  all X_1 (-hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),zOdd))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),zEven))).
% 114.84/113.66  all Y_2 X_1 (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),zOdd))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Y_2),zOdd))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_1),Y_2)),zEven)))).
% 114.84/113.66  all Y_2 X_1 (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),zOdd))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Y_2),zEven))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_1),Y_2)),zOdd)))).
% 114.84/113.66  all Y_2 X_1 (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),zEven))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Y_2),zOdd))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_1),Y_2)),zOdd)))).
% 114.84/113.66  all Aa Ba (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Aa),Ba)),zOdd))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Aa),zEven))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Ba),zOdd)))).
% 114.84/113.66  all Aa Ba (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Aa),Ba)),zOdd))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Aa),zOdd))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Ba),zEven)))).
% 114.84/113.66  all Ba Aa (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Aa),zEven))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Ba),zOdd))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Aa),Ba)),zOdd)))).
% 114.84/113.66  all Ba Aa (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Aa),zOdd))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Ba),zOdd))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Aa),Ba)),zEven)))).
% 114.84/113.66  all X_1 Y_2 (hAPP_int_real(real_int,X_1)=hAPP_int_real(real_int,Y_2)<->X_1=Y_2).
% 114.84/113.66  pi!=zero_zero_real.
% 114.84/113.66  all N_1 (archim1246769320r_real(hAPP_int_real(real_int,N_1))=N_1).
% 114.84/113.66  all X_1 (hAPP_int_real(real_int,archim1246769320r_real(X_1))=X_1<-> (exists N_2 (X_1=hAPP_int_real(real_int,N_2)))).
% 114.84/113.66  all X_1 (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),zOdd))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_1),one_one_int)),zEven))).
% 114.84/113.66  all N_1 (archim856651990g_real(hAPP_int_real(real_int,N_1))=N_1).
% 114.84/113.66  all X_1 (hAPP_int_real(real_int,archim856651990g_real(X_1))=X_1<-> (exists N_2 (X_1=hAPP_int_real(real_int,N_2)))).
% 114.84/113.66  -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,one_one_int),zEven)).
% 114.84/113.66  all X_1 Y_2 (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_1),Y_2)),zEven))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),zEven))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Y_2),zEven))).
% 114.84/113.66  all Y_2 X_1 (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),zEven))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_1),Y_2)),zEven))).
% 114.84/113.66  all Y_2 X_1 (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),zEven))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Y_2),zEven))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_1),Y_2)),zEven)))).
% 114.84/113.66  all Y_2 X_1 (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),zEven))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Y_2),zEven))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_1),Y_2)),zEven)))).
% 114.84/113.66  all X_1 Y_2 (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_1),Y_2)),zEven))<-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),zEven))<->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Y_2),zEven)))).
% 114.84/113.66  all X_1 Y_2 (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_1),Y_2)),zOdd))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),zOdd))).
% 114.84/113.66  all Y_2 X_1 (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),zOdd))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Y_2),zOdd))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_1),Y_2)),zOdd)))).
% 114.84/113.66  all X_1 (hAPP_int_real(real_int,X_1)=zero_zero_real<->X_1=zero_zero_int).
% 114.84/113.66  hAPP_int_real(real_int,zero_zero_int)=zero_zero_real.
% 114.84/113.66  all X_1 Y_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(real_int,X_1)),hAPP_int_real(real_int,Y_2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_2))).
% 114.84/113.66  all X_1 Y_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,X_1)),hAPP_int_real(real_int,Y_2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_2))).
% 114.84/113.66  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))).
% 114.84/113.66  hAPP_int_real(real_int,one_one_int)=one_one_real.
% 114.84/113.66  all V_2 (hAPP_int_real(real_int,hAPP_int_int(number_number_of_int,V_2))=hAPP_int_real(number267125858f_real,V_2)).
% 114.84/113.66  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))).
% 114.84/113.66  all X N_1 (hAPP_int_real(real_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X),N_1))=hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_int_real(real_int,X)),N_1)).
% 114.84/113.66  all X N_1 (hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_int_real(real_int,X)),N_1)=hAPP_int_real(real_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X),N_1))).
% 114.84/113.66  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))).
% 114.84/113.66  hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),pi)).
% 114.84/113.66  hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),pi)).
% 114.84/113.66  -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,pi),zero_zero_real)).
% 114.84/113.66  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))).
% 114.84/113.66  all X_1 hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,hAPP_int_real(real_int,X_1)),ring_1_Ints_real)).
% 114.84/113.66  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))).
% 114.84/113.66  all R_3 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,archim1246769320r_real(R_3))),R_3)).
% 114.84/113.66  all R_3 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,R_3),hAPP_int_real(real_int,archim856651990g_real(R_3)))).
% 114.84/113.66  all N_1 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_1),X))),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_int_real(real_int,N_1)),hAPP_int_real(real_int,X)))).
% 114.84/113.66  all X_1 Aa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,archim1246769320r_real(X_1)),Aa))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),hAPP_int_real(real_int,Aa)))).
% 114.84/113.66  all A_2 X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,A_2)),X))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_2),archim1246769320r_real(X)))).
% 114.84/113.66  all Aa X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),archim1246769320r_real(X_1)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,Aa)),X_1))).
% 114.84/113.66  all A_2 X (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_2),archim1246769320r_real(X)))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,A_2)),X))).
% 114.84/113.66  all Aa X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),archim856651990g_real(X_1)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(real_int,Aa)),X_1))).
% 114.84/113.66  all X A_2 (archim1246769320r_real(hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X),hAPP_int_real(real_int,A_2)))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,archim1246769320r_real(X)),A_2)).
% 114.84/113.66  all X_1 Aa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,archim856651990g_real(X_1)),Aa))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),hAPP_int_real(real_int,Aa)))).
% 114.84/113.66  all X A_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),hAPP_int_real(real_int,A_2)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,archim856651990g_real(X)),A_2))).
% 114.84/113.66  all X A_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,archim856651990g_real(X)),A_2))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),hAPP_int_real(real_int,A_2)))).
% 114.84/113.66  all N_1 X (X=hAPP_int_real(real_int,archim1246769320r_real(X))->archim1246769320r_real(hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X),N_1))=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,archim1246769320r_real(X)),N_1)).
% 114.84/113.66  all X A_2 (archim1246769320r_real(hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X),hAPP_int_real(real_int,A_2)))=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,archim1246769320r_real(X)),A_2)).
% 114.84/113.66  all X A_2 (archim856651990g_real(hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X),hAPP_int_real(real_int,A_2)))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,archim856651990g_real(X)),A_2)).
% 114.84/113.66  all N_1 (archim1246769320r_real(hAPP_real_real(uminus_uminus_real,hAPP_int_real(real_int,N_1)))=hAPP_int_int(uminus_uminus_int,N_1)).
% 114.84/113.66  all X A_2 (archim856651990g_real(hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X),hAPP_int_real(real_int,A_2)))=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,archim856651990g_real(X)),A_2)).
% 114.84/113.66  all X_1 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_1),N)),zEven))<->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),zEven)))).
% 114.84/113.66  all N (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_int_real(real_int,N)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),N))).
% 114.84/113.66  all N (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(real_int,N)),zero_zero_real))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,N),zero_zero_int))).
% 114.84/113.66  all N (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,N)),zero_zero_real))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,N),zero_zero_int))).
% 114.84/113.66  all N (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_int_real(real_int,N)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),N))).
% 114.84/113.66  all M N (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(real_int,M)),hAPP_int_real(number267125858f_real,N)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,M),hAPP_int_int(number_number_of_int,N)))).
% 114.84/113.66  all N M (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(number267125858f_real,N)),hAPP_int_real(real_int,M)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,N)),M))).
% 114.84/113.66  all M N (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,M)),hAPP_int_real(number267125858f_real,N)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,M),hAPP_int_int(number_number_of_int,N)))).
% 114.84/113.66  all N M (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(number267125858f_real,N)),hAPP_int_real(real_int,M)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(number_number_of_int,N)),M))).
% 114.84/113.66  all N M (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,N),M))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_int_real(real_int,N)),one_one_real)),hAPP_int_real(real_int,M)))).
% 114.84/113.66  all N M (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,N),M))<->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,M)),one_one_real)))).
% 114.84/113.66  all N_1 X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(real_int,N_1)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_int_real(real_int,X)),one_one_real)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,N_1),X))).
% 114.84/113.66  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)).
% 114.84/113.66  all X_1 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_1),N)),zOdd))<->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),zOdd)))).
% 114.84/113.66  all R_3 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,R_3),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_int_real(real_int,archim1246769320r_real(R_3))),one_one_real))).
% 114.84/113.66  all R_3 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,R_3),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_int_real(real_int,archim1246769320r_real(R_3))),one_one_real))).
% 114.84/113.66  all N_1 X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(real_int,N_1)),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_1)),one_one_real)))->archim1246769320r_real(X)=N_1)).
% 114.84/113.66  all R_3 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,R_3),one_one_real)),hAPP_int_real(real_int,archim1246769320r_real(R_3)))).
% 114.84/113.66  all R_3 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,R_3),one_one_real)),hAPP_int_real(real_int,archim1246769320r_real(R_3)))).
% 114.84/113.66  all R_3 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,archim856651990g_real(R_3))),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,R_3),one_one_real))).
% 114.84/113.66  all R_3 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_int_real(real_int,archim856651990g_real(R_3))),one_one_real)),R_3)).
% 114.84/113.66  all N_1 M_1 R_3 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,M_1)),R_3))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,R_3),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_int_real(real_int,N_1)),one_one_real)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,M_1),N_1)))).
% 114.84/113.66  all N_1 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_1)),hAPP_int_real(real_int,X))),hAPP_int_real(real_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,N_1),X))))).
% 114.84/113.66  all N_1 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_1)),hAPP_int_real(real_int,X))),hAPP_int_real(real_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,N_1),X)))),one_one_real)).
% 114.84/113.66  all X 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)))).
% 114.84/113.66  all N_1 X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,N_1)),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_1)),one_one_real)))->archim1246769320r_real(X)=N_1)).
% 114.84/113.66  all Aa X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),archim1246769320r_real(X_1)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_int_real(real_int,Aa)),one_one_real)),X_1))).
% 114.84/113.66  all X_1 Aa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,archim1246769320r_real(X_1)),Aa))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_int_real(real_int,Aa)),one_one_real)))).
% 114.84/113.66  all N_1 X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_int_real(real_int,N_1)),one_one_real)),X))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),hAPP_int_real(real_int,N_1)))->archim856651990g_real(X)=N_1)).
% 114.84/113.66  all X_1 Aa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,archim856651990g_real(X_1)),Aa))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_int_real(real_int,Aa)),one_one_real)))).
% 114.84/113.66  all Aa X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),archim856651990g_real(X_1)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_int_real(real_int,Aa)),one_one_real)),X_1))).
% 114.84/113.66  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)))).
% 114.84/113.66  all N_1 X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(real_int,N_1)),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_1)),one_one_real)))->archim856651990g_real(X)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,N_1),one_one_int))).
% 114.84/113.66  all Aa X_1 (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),zEven))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))->hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(uminus_uminus_int,Aa)),hAPP_int_nat(nat,X_1))=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,Aa),hAPP_int_nat(nat,X_1)))).
% 114.84/113.66  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)))).
% 114.84/113.66  all R_3 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,R_3),zero_zero_real))-> (exists N_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,N_2)),R_3))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,R_3),hAPP_int_real(real_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,N_2),one_one_int))))))).
% 114.84/113.66  all R_3 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),R_3))-> (exists N_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,N_2)),R_3))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,R_3),hAPP_int_real(real_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,N_2),one_one_int))))))).
% 114.84/113.66  all R_3 exists N_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,N_2)),R_3))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,R_3),hAPP_int_real(real_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,N_2),one_one_int))))).
% 114.84/113.66  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)).
% 114.84/113.66  all N_1 (hAPP_real_real(cos,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,pi),hAPP_nat_real(real_nat,N_1)))=hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min)),N_1)).
% 114.84/113.66  all N_1 (hAPP_real_real(cos,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N_1)),pi))=hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min)),N_1)).
% 114.84/113.66  all X (hAPP_real_real(cos,hAPP_real_real(uminus_uminus_real,X))=hAPP_real_real(cos,X)).
% 114.84/113.66  all X hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(cos,X)),one_one_real)).
% 114.84/113.66  hAPP_real_real(cos,zero_zero_real)=one_one_real.
% 114.84/113.66  all X (hAPP_real_real(cos,hAPP_real_real(arctan,X))!=zero_zero_real).
% 114.84/113.66  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)))))).
% 114.84/113.66  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))).
% 114.84/113.66  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)).
% 114.84/113.66  hAPP_real_real(cos,pi)=hAPP_int_real(number267125858f_real,min).
% 114.84/113.66  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))).
% 114.84/113.66  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)))))).
% 114.84/113.66  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)))))).
% 114.84/113.66  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)).
% 114.84/113.66  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).
% 114.84/113.66  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)))))).
% 114.84/113.66  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)).
% 114.84/113.66  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))).
% 114.84/113.66  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_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_2))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_2),pi))&hAPP_real_real(cos,X_2)=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_2)))))).
% 114.84/113.66  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))))))).
% 114.84/113.66  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))))).
% 114.84/113.66  all V_2 ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_2),pls))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),hAPP_int_nat(number_number_of_nat,V_2))=one_one_nat)& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_2),pls))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),hAPP_int_nat(number_number_of_nat,V_2))=hAPP_int_nat(number_number_of_nat,hAPP_int_int(succ,V_2)))).
% 114.84/113.66  all V_2 ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_2),pls))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,V_2)),one_one_nat)=one_one_nat)& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_2),pls))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,V_2)),one_one_nat)=hAPP_int_nat(number_number_of_nat,hAPP_int_int(succ,V_2)))).
% 114.84/113.66  pls=zero_zero_int.
% 114.84/113.66  hAPP_real_real(tan,zero_zero_real)=zero_zero_real.
% 114.84/113.66  -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),pls)).
% 114.84/113.66  hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),pls)).
% 114.84/113.66  all W (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,pls),W)=pls).
% 114.84/113.66  all K_2 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,pls),K_2)=K_2).
% 114.84/113.66  all K_2 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K_2),pls)=K_2).
% 114.84/113.66  all K_2 (hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,K_2),pls)=K_2).
% 114.84/113.66  min!=pls.
% 114.84/113.66  pls!=min.
% 114.84/113.66  hAPP_int_int(uminus_uminus_int,pls)=pls.
% 114.84/113.66  all X (hAPP_real_real(tan,hAPP_real_real(uminus_uminus_real,X))=hAPP_real_real(uminus_uminus_real,hAPP_real_real(tan,X))).
% 114.84/113.66  all Y (hAPP_real_real(tan,hAPP_real_real(arctan,Y))=Y).
% 114.84/113.66  zero_zero_nat=hAPP_int_nat(number_number_of_nat,pls).
% 114.84/113.66  hAPP_int_nat(number_number_of_nat,pls)=zero_zero_nat.
% 114.84/113.66  -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),zero_zero_int)).
% 114.84/113.66  zero_zero_int=hAPP_int_int(number_number_of_int,pls).
% 114.84/113.66  hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),pls)).
% 114.84/113.66  -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),min)).
% 114.84/113.66  hAPP_real_real(tan,pi)=zero_zero_real.
% 114.84/113.66  hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,min),pls)).
% 114.84/113.66  -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),min)).
% 114.84/113.66  hAPP_int_int(number_number_of_int,pls)!=hAPP_int_int(number_number_of_int,min).
% 114.84/113.66  all X (hAPP_real_real(tan,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X),pi))=hAPP_real_real(tan,X)).
% 114.84/113.66  -hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,pls))).
% 114.84/113.66  hAPP_int_int(succ,min)=pls.
% 114.84/113.66  all V (zero_zero_nat=hAPP_int_nat(number_number_of_nat,V)<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,V),pls))).
% 114.84/113.66  all V (hAPP_int_nat(number_number_of_nat,V)=zero_zero_nat<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,V),pls))).
% 114.84/113.66  all V V_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_int_nat(number_number_of_nat,V)),hAPP_int_nat(number_number_of_nat,V_1)))<-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V),V_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),V_1)))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V),V_1))).
% 114.84/113.66  hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(number_number_of_int,pls))).
% 114.84/113.66  all V V_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_int_nat(number_number_of_nat,V)),hAPP_int_nat(number_number_of_nat,V_1)))<-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,V),V_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,V),pls)))).
% 114.84/113.66  all V (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_int_nat(number_number_of_nat,V)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),V))).
% 114.84/113.66  all V_3 V_2 ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_2),pls))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,V_2)),hAPP_int_nat(number_number_of_nat,V_3))=hAPP_int_nat(number_number_of_nat,V_3))& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_2),pls))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_3),pls))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,V_2)),hAPP_int_nat(number_number_of_nat,V_3))=hAPP_int_nat(number_number_of_nat,V_2))& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_3),pls))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,V_2)),hAPP_int_nat(number_number_of_nat,V_3))=hAPP_int_nat(number_number_of_nat,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_2),V_3))))).
% 114.84/113.66  all N_1 (hAPP_real_real(tan,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N_1)),pi))=zero_zero_real).
% 114.84/113.66  all X N_1 (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_1)),pi)))=hAPP_real_real(tan,X)).
% 114.84/113.66  all X N_1 (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_1)),pi)))=hAPP_real_real(tan,X)).
% 114.84/113.66  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)).
% 114.84/113.66  all V_3 K_2 V_2 ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_2),pls))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,V_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,V_3)),K_2))=zero_zero_nat)& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_2),pls))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,V_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,V_3)),K_2))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,V_2),V_3))),K_2))).
% 114.84/113.66  all V_3 V_2 ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_2),pls))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,V_2)),hAPP_int_nat(number_number_of_nat,V_3))=zero_zero_nat)& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_2),pls))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,V_2)),hAPP_int_nat(number_number_of_nat,V_3))=hAPP_int_nat(number_number_of_nat,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,V_2),V_3)))).
% 114.84/113.66  all V_2 ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,V_2),pls))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_int_nat(number_number_of_nat,V_2)),one_one_nat)=zero_zero_nat)& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,V_2),pls))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_int_nat(number_number_of_nat,V_2)),one_one_nat)=hAPP_int_nat(number_number_of_nat,hAPP_int_int(pred,V_2)))).
% 114.84/113.66  all M_1 V_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),V_2))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(suc,M_1)),hAPP_int_nat(number_number_of_nat,V_2))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(pred,V_2)))).
% 114.84/113.66  all K_1 L (hAPP_int_int(bit1,K_1)=hAPP_int_int(bit1,L)<->K_1=L).
% 114.84/113.66  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)))).
% 114.84/113.66  all K_2 (hAPP_int_int(bit1,K_2)!=pls).
% 114.84/113.66  all L_2 (pls!=hAPP_int_int(bit1,L_2)).
% 114.84/113.66  all K_1 L (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(bit1,K_1)),hAPP_int_int(bit1,L)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),L))).
% 114.84/113.66  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))).
% 114.84/113.66  all K_1 L (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(bit1,K_1)),hAPP_int_int(bit1,L)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),L))).
% 114.84/113.66  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))).
% 114.84/113.66  all K_1 (hAPP_int_int(bit1,K_1)=min<->K_1=min).
% 114.84/113.66  all L (min=hAPP_int_int(bit1,L)<->min=L).
% 114.84/113.66  hAPP_int_int(bit1,min)=min.
% 114.84/113.66  all X (hAPP_int_int(succ,hAPP_int_int(pred,X))=X).
% 114.84/113.66  all K_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(bit1,K_1)),pls))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),pls))).
% 114.84/113.66  all W_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(bit1,W_1)),zero_zero_int))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),zero_zero_int))).
% 114.84/113.66  all K_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),hAPP_int_int(bit1,K_1)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),K_1))).
% 114.84/113.66  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)).
% 114.84/113.66  all K_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(bit1,K_1)),min))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),min))).
% 114.84/113.66  all K_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),hAPP_int_int(bit1,K_1)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),K_1))).
% 114.84/113.66  all K_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(bit1,K_1)),min))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),min))).
% 114.84/113.66  all K_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,min),hAPP_int_int(bit1,K_1)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,min),K_1))).
% 114.84/113.66  all W_1 (hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,W_1))))<->hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,W_1)))).
% 114.84/113.66  hAPP_int_int(succ,pls)=hAPP_int_int(bit1,pls).
% 114.84/113.66  all K_1 L (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),L))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(pred,K_1)),L))).
% 114.84/113.66  hAPP_int_int(pred,pls)=min.
% 114.84/113.66  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)).
% 114.84/113.66  all K_2 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,min),K_2)=hAPP_int_int(pred,K_2)).
% 114.84/113.66  all K_2 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K_2),min)=hAPP_int_int(pred,K_2)).
% 114.84/113.66  all K_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),hAPP_int_int(bit1,K_1)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),K_1))).
% 114.84/113.66  all K_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(bit1,K_1)),pls))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),pls))).
% 114.84/113.66  one_one_int=hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,pls)).
% 114.84/113.66  one_one_nat=hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit1,pls)).
% 114.84/113.66  hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit1,pls))=one_one_nat.
% 114.84/113.66  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))).
% 114.84/113.66  hAPP_int_int(uminus_uminus_int,min)=hAPP_int_int(bit1,pls).
% 114.84/113.66  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))).
% 114.84/113.66  hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit1,pls))=hAPP_nat_nat(suc,zero_zero_nat).
% 114.84/113.66  all N_1 (hAPP_nat_nat(suc,hAPP_nat_nat(suc,hAPP_nat_nat(suc,N_1)))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit1,hAPP_int_int(bit1,pls)))),N_1)).
% 114.84/113.66  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))))).
% 114.84/113.66  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)))).
% 114.84/113.66  all A_2 (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(uminus_uminus_int,A_2)),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_2),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit1,hAPP_int_int(bit1,pls)))))).
% 114.84/113.66  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))))).
% 114.84/113.66  all M_1 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_int_nat(number_number_of_nat,pls)),N_1))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(suc,M_1)),N_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit1,pls))))).
% 114.84/113.66  all M_1 V_2 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(suc,hAPP_nat_nat(suc,hAPP_nat_nat(suc,M_1)))),hAPP_int_nat(number_number_of_nat,V_2))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit1,hAPP_int_int(bit1,pls)))),M_1)),hAPP_int_nat(number_number_of_nat,V_2))).
% 114.84/113.66  all M_1 N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(suc,hAPP_nat_nat(suc,hAPP_nat_nat(suc,M_1)))),N_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit1,hAPP_int_int(bit1,pls)))),M_1)),N_1)).
% 114.84/113.66  all M_1 N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M_1),hAPP_nat_nat(suc,hAPP_nat_nat(suc,hAPP_nat_nat(suc,N_1))))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit1,hAPP_int_int(bit1,pls)))),N_1))).
% 114.84/113.66  all M_1 V_2 (hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(suc,hAPP_nat_nat(suc,hAPP_nat_nat(suc,M_1)))),hAPP_int_nat(number_number_of_nat,V_2))=hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit1,hAPP_int_int(bit1,pls)))),M_1)),hAPP_int_nat(number_number_of_nat,V_2))).
% 114.84/113.66  all M_1 N_1 (hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(suc,hAPP_nat_nat(suc,hAPP_nat_nat(suc,M_1)))),N_1)=hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit1,hAPP_int_int(bit1,pls)))),M_1)),N_1)).
% 114.84/113.66  all M_1 N_1 (hAPP_nat_nat(div_mod_nat(M_1),hAPP_nat_nat(suc,hAPP_nat_nat(suc,hAPP_nat_nat(suc,N_1))))=hAPP_nat_nat(div_mod_nat(M_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit1,hAPP_int_int(bit1,pls)))),N_1))).
% 114.84/113.66  all V (hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,V))))<->hAPP_int_nat(number_number_of_nat,V)=zero_zero_nat).
% 114.84/113.66  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)))))))).
% 114.84/113.66  all M_1 (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_1))))),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))=zero_zero_real).
% 114.84/113.66  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))))))).
% 114.84/113.66  all B_1 A_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_2),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_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)))),A_2))=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_1),one_one_int)),A_2))),one_one_int)).
% 114.84/113.66  all V_2 W ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(number_number_of_int,W)))->hAPP_int_int(div_mod_int(hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,V_2))),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,W)))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),hAPP_int_int(div_mod_int(hAPP_int_int(number_number_of_int,V_2)),hAPP_int_int(number_number_of_int,W)))),one_one_int))& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(number_number_of_int,W)))->hAPP_int_int(div_mod_int(hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,V_2))),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,W)))=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(number_number_of_int,V_2)),one_one_int)),hAPP_int_int(number_number_of_int,W)))),one_one_int))).
% 114.84/113.66  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).
% 114.84/113.66  all K_1 L (hAPP_int_int(bit0,K_1)=hAPP_int_int(bit0,L)<->K_1=L).
% 114.84/113.66  all K_2 L_2 (hAPP_int_int(bit0,K_2)!=hAPP_int_int(bit1,L_2)).
% 114.84/113.66  all K_2 L_2 (hAPP_int_int(bit1,K_2)!=hAPP_int_int(bit0,L_2)).
% 114.84/113.66  hAPP_int_int(bit0,pls)=pls.
% 114.84/113.66  all L (pls=hAPP_int_int(bit0,L)<->pls=L).
% 114.84/113.66  all K_1 (hAPP_int_int(bit0,K_1)=pls<->K_1=pls).
% 114.84/113.66  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))).
% 114.84/113.66  all K_1 L (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(bit0,K_1)),hAPP_int_int(bit0,L)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),L))).
% 114.84/113.66  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))).
% 114.84/113.66  all K_1 L (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(bit0,K_1)),hAPP_int_int(bit0,L)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),L))).
% 114.84/113.66  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))).
% 114.84/113.66  all K_2 (hAPP_int_int(bit0,K_2)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K_2),K_2)).
% 114.84/113.66  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))).
% 114.84/113.66  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))).
% 114.84/113.66  all L_2 (min!=hAPP_int_int(bit0,L_2)).
% 114.84/113.66  all K_2 (hAPP_int_int(bit0,K_2)!=min).
% 114.84/113.66  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))).
% 114.84/113.66  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))).
% 114.84/113.66  all K_1 L (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(bit1,K_1)),hAPP_int_int(bit0,L)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),L))).
% 114.84/113.66  all K_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(bit0,K_1)),pls))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),pls))).
% 114.84/113.66  all K_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),hAPP_int_int(bit0,K_1)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),K_1))).
% 114.84/113.66  all W_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(bit0,W_1)),zero_zero_int))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),zero_zero_int))).
% 114.84/113.66  all K_1 L (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(bit0,K_1)),hAPP_int_int(bit1,L)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),L))).
% 114.84/113.66  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))).
% 114.84/113.66  all K_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(bit0,K_1)),pls))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),pls))).
% 114.84/113.66  all K_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),hAPP_int_int(bit0,K_1)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),K_1))).
% 114.84/113.66  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))).
% 114.84/113.66  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))).
% 114.84/113.66  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))).
% 114.84/113.66  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))).
% 114.84/113.66  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))).
% 114.84/113.66  all K_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),hAPP_int_int(bit0,K_1)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),K_1))).
% 114.84/113.66  all K_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(bit0,K_1)),min))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),min))).
% 114.84/113.66  all V_2 W (hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,V_2))),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,W)))=hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(number_number_of_int,V_2)),hAPP_int_int(number_number_of_int,W))).
% 114.84/113.66  all W_1 (hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,W_1))))<->hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,W_1)))).
% 114.84/113.66  all K_2 (hAPP_int_int(pred,hAPP_int_int(bit1,K_2))=hAPP_int_int(bit0,K_2)).
% 114.84/113.66  all K_2 (hAPP_int_int(pred,hAPP_int_int(bit0,K_2))=hAPP_int_int(bit1,hAPP_int_int(pred,K_2))).
% 114.84/113.66  hAPP_int_int(pred,min)=hAPP_int_int(bit0,min).
% 114.84/113.66  all K_2 (hAPP_int_int(succ,hAPP_int_int(bit1,K_2))=hAPP_int_int(bit0,hAPP_int_int(succ,K_2))).
% 114.84/113.66  all K_2 (hAPP_int_int(succ,hAPP_int_int(bit0,K_2))=hAPP_int_int(bit1,K_2)).
% 114.84/113.66  all K_1 L (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(bit0,K_1)),hAPP_int_int(bit1,L)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),L))).
% 114.84/113.66  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))).
% 114.84/113.66  all K_1 L (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(bit1,K_1)),hAPP_int_int(bit0,L)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),L))).
% 114.84/113.66  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))).
% 114.84/113.66  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)).
% 114.84/113.66  all K_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(bit0,K_1)),min))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),min))).
% 114.84/113.66  all K_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,min),hAPP_int_int(bit0,K_1)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),K_1))).
% 114.84/113.66  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))).
% 114.84/113.66  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))).
% 114.84/113.66  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))).
% 114.84/113.66  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)))).
% 114.84/113.66  all N_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(number_number_of_int,N_1)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,N_1))))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,N_1))))).
% 114.84/113.66  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)))))).
% 114.84/113.66  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)).
% 114.84/113.66  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))).
% 114.84/113.66  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))))).
% 114.84/113.66  all N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=hAPP_nat_nat(suc,hAPP_nat_nat(suc,N_1))).
% 114.84/113.66  all N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N_1)=hAPP_nat_nat(suc,hAPP_nat_nat(suc,N_1))).
% 114.84/113.66  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))))).
% 114.84/113.66  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)).
% 114.84/113.66  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)).
% 114.84/113.66  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))).
% 114.84/113.66  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)))).
% 114.84/113.66  all X_1 Y_2 Z_2 (X_1=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,Y_2),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),Z_2))<->hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),X_1)=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,Y_2),Z_2)).
% 114.84/113.66  hAPP_real_real(cos,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))!=zero_zero_real.
% 114.84/113.66  all M_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(suc,hAPP_nat_nat(suc,M_1))),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_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))).
% 114.84/113.66  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)))))).
% 114.84/113.66  all M_1 (hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(suc,hAPP_nat_nat(suc,M_1))),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=hAPP_nat_nat(div_mod_nat(M_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))).
% 114.84/113.66  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)).
% 114.84/113.66  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)))))).
% 114.84/113.66  all A_2 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_2),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_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,A_2),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit1,hAPP_int_int(bit1,pls))))).
% 114.84/113.66  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).
% 114.84/113.66  all M_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),M_1)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=M_1).
% 114.84/113.66  all V_2 W (hAPP_int_int(div_mod_int(hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,V_2))),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,W)))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),hAPP_int_int(div_mod_int(hAPP_int_int(number_number_of_int,V_2)),hAPP_int_int(number_number_of_int,W)))).
% 114.84/113.66  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))).
% 114.84/113.66  all Aa Ba (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,Aa),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,Ba),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))<->hAPP_int_int(abs_abs_int,Aa)=hAPP_int_int(abs_abs_int,Ba)).
% 114.84/113.66  all A_2 (hAPP_int_int(abs_abs_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_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,hAPP_int_int(abs_abs_int,A_2)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))).
% 114.84/113.66  all X_1 K_1 (X_1=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),K_1)->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),zEven))).
% 114.84/113.66  all N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))->N_1=zero_zero_nat|N_1=hAPP_nat_nat(suc,zero_zero_nat)).
% 114.84/113.66  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)).
% 114.84/113.66  all X_1 Y_2 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,Y_2),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))=zero_zero_real<->X_1=zero_zero_real&Y_2=zero_zero_real).
% 114.84/113.66  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)).
% 114.84/113.66  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)).
% 114.84/113.66  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))))).
% 114.84/113.66  all N_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N_1))).
% 114.84/113.66  all X_1 (hAPP_int_int(div_mod_int(X_1),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))!=zero_zero_int<->hAPP_int_int(div_mod_int(X_1),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=one_one_int).
% 114.84/113.66  all N_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(real_nat,N_1)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N_1))).
% 114.84/113.66  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))).
% 114.84/113.66  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))))))).
% 114.84/113.66  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)))))).
% 114.84/113.66  all M_1 (hAPP_nat_nat(div_mod_nat(M_1),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_1),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_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))=hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))|hAPP_nat_nat(div_mod_nat(M_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))=hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit1,hAPP_int_int(bit1,pls)))).
% 114.84/113.66  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))))).
% 114.84/113.66  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.
% 114.84/113.66  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))))).
% 114.84/113.66  all B_1 A_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,B_1),A_2)),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),A_2)=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,B_1),A_2)),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))).
% 114.84/113.66  all A_2 B_1 (hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_2),B_1)),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),A_2)=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,B_1),A_2)),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))).
% 114.84/113.66  all A_2 (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_2),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_2)=one_one_int).
% 114.84/113.66  all X_1 (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),zEven))->hAPP_int_int(div_mod_int(X_1),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=zero_zero_int).
% 114.84/113.66  all X_1 Y_2 (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Y_2),zEven))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_2))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,X_1),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,Y_2),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))).
% 114.84/113.66  all X_1 (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),zEven))->hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,X_1),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))=X_1).
% 114.84/113.66  all Y_2 X_1 (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),zEven))->hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_1),Y_2)),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,X_1),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),Y_2)).
% 114.84/113.66  all Y_2 X_1 (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),zEven))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Y_2),zEven))->hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_1),Y_2)),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,X_1),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,Y_2),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))).
% 114.84/113.66  all X (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))->X=zero_zero_int|X=one_one_int)).
% 114.84/113.66  all N_1 (N_1!=zero_zero_nat->hAPP_nat_nat(suc,hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N_1)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N_1)).
% 114.84/113.66  all N_1 (N_1!=zero_zero_nat->hAPP_nat_nat(suc,hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),N_1)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),N_1)).
% 114.84/113.66  all N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,N_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))).
% 114.84/113.66  all M (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(div_mod_nat(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))))=one_one_nat).
% 114.84/113.66  all N_1 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N_1)),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))=hAPP_nat_real(real_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),N_1))).
% 114.84/113.66  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)))))).
% 114.84/113.66  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)))))).
% 114.84/113.66  all V_2 W ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(number_number_of_int,W)))->hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,V_2))),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,W)))=hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(number_number_of_int,V_2)),hAPP_int_int(number_number_of_int,W)))& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(number_number_of_int,W)))->hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,V_2))),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,W)))=hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(number_number_of_int,V_2)),one_one_int)),hAPP_int_int(number_number_of_int,W)))).
% 114.84/113.67  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))).
% 114.84/113.67  all A_2 B_1 (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_2),B_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(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_2),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),A_2)),B_1))),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)))))).
% 114.84/113.67  all A_2 B_1 (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_2),B_1)),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_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(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_2),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),B_1))),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_2)),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_nat_int(hAPP_int_fun_nat_int(power_power_int,B_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit1,hAPP_int_int(bit1,pls)))))).
% 114.84/113.67  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))).
% 114.84/113.67  all A_2 B_1 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_2),B_1)),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_2),B_1))=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_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_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))).
% 114.84/113.67  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)).
% 114.84/113.67  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.
% 114.84/113.67  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.
% 114.84/113.67  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)).
% 114.84/113.67  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)))).
% 114.84/113.67  all X_1 K_1 (X_1=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),K_1)),one_one_int)->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),zOdd))).
% 114.84/113.67  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)).
% 114.84/113.67  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.
% 114.84/113.67  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)))))).
% 114.84/113.67  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))))).
% 114.84/113.67  all N_1 (N_1!=zero_zero_nat->hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N_1)),one_one_nat))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N_1)).
% 114.84/113.67  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)))))))).
% 114.84/113.67  all N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_1),one_one_nat)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))).
% 114.84/113.67  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)))).
% 114.84/113.67  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)))))).
% 114.84/113.67  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))))).
% 114.84/113.67  all A_2 B_1 (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_2),B_1)),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_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(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_2),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),B_1))),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_2)),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_nat_int(hAPP_int_fun_nat_int(power_power_int,B_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit1,hAPP_int_int(bit1,pls)))))).
% 114.84/113.67  all A_2 B_1 (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_2),B_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(minus_minus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_2),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),A_2)),B_1))),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)))))).
% 114.84/113.67  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)).
% 114.84/113.67  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.
% 114.84/113.67  all N_1 (hAPP_real_real(cos,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),hAPP_nat_real(real_nat,N_1))),pi))=one_one_real).
% 114.84/113.67  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))))).
% 114.84/113.67  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)))))).
% 114.84/113.67  all X_1 Y_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),Y_2))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_2),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),X_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_2),X_1))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(tan,Y_2)),hAPP_real_real(tan,X_1)))))))).
% 114.84/113.67  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))).
% 114.84/113.67  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))))))).
% 114.84/113.67  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))).
% 114.84/113.67  all B_1 A_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_2),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_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)))),A_2))=hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_1),one_one_int)),A_2)).
% 114.84/113.67  all B_1 A_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_2))->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_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)))),A_2))=hAPP_int_int(hAPP_int_fun_int_int(div_div_int,B_1),A_2)).
% 114.84/113.67  all B_1 A_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_2))->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_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)))),A_2))=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_1),A_2)))).
% 114.84/113.67  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))))).
% 114.84/113.67  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))))).
% 114.84/113.67  all Pa (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)))),Pa))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Pa),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,Pa),one_one_int)),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))).
% 114.84/113.67  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)))).
% 114.84/113.67  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)))))))))))).
% 114.84/113.67  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)).
% 114.84/113.67  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))).
% 114.84/113.67  all Y_2 X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X_1))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),zOdd))-> (exists N_2 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),hAPP_int_int(abs_abs_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Y_2),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,N_2),X_1))))),X_1))))).
% 114.84/113.67  all Y (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Y))-> (exists X_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_2))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_2),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_2)=Y))).
% 114.84/113.67  all Y X (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X))-> (exists N_2 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),hAPP_int_int(abs_abs_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Y),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,N_2),X))))),X)))).
% 114.84/113.67  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)))))))).
% 114.84/113.67  all M_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),M_1))->hAPP_nat_nat(suc,hAPP_int_nat(nat,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,M_1),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_1),one_one_int))).
% 114.84/113.67  all Y exists X_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),X_2))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_2),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))&hAPP_real_real(tan,X_2)=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_2))).
% 114.84/113.67  all Y exists X_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),X_2))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_2),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))&hAPP_real_real(tan,X_2)=Y).
% 114.84/113.67  all Y (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Y))-> (exists X_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_2))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_2),hAPP_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_2)))))).
% 114.84/113.67  all X_1 (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),zOdd))-> -(all K (X_1!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),K)),one_one_int)))).
% 114.84/113.67  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))).
% 114.84/113.67  exists X_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_2))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_2),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))&hAPP_real_real(cos,X_2)=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_2))).
% 114.84/113.67  all X_1 (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),zEven))-> -(all K (X_1!=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),K)))).
% 114.84/113.67  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)))))).
% 114.84/113.67  all W V_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(number_number_of_int,V_2)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(number_number_of_int,W)),hAPP_int_int(number_number_of_int,V_2))))->negDivAlg(hAPP_int_int(number_number_of_int,W),hAPP_int_int(number_number_of_int,V_2))=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,hAPP_int_int(number_number_of_int,min)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(number_number_of_int,W)),hAPP_int_int(number_number_of_int,V_2))))& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(number_number_of_int,W)),hAPP_int_int(number_number_of_int,V_2))))->negDivAlg(hAPP_int_int(number_number_of_int,W),hAPP_int_int(number_number_of_int,V_2))=hAPP_P1975530577nt_int(adjust(hAPP_int_int(number_number_of_int,V_2)),negDivAlg(hAPP_int_int(number_number_of_int,W),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),hAPP_int_int(number_number_of_int,V_2)))))).
% 114.84/113.67  all A_2 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(plus_plus_int,A_2),B_1)))->negDivAlg(A_2,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_2),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_2),B_1)))->negDivAlg(A_2,B_1)=hAPP_P1975530577nt_int(adjust(B_1),negDivAlg(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_1))))).
% 114.84/113.67  all A_2 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,A_2),B_1))->posDivAlg(A_2,B_1)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,zero_zero_int),A_2))& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_2),B_1))->posDivAlg(A_2,B_1)=hAPP_P1975530577nt_int(adjust(B_1),posDivAlg(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_1))))).
% 114.84/113.67  all W V_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(number_number_of_int,V_2)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,W)),hAPP_int_int(number_number_of_int,V_2)))->posDivAlg(hAPP_int_int(number_number_of_int,W),hAPP_int_int(number_number_of_int,V_2))=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,zero_zero_int),hAPP_int_int(number_number_of_int,W)))& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,W)),hAPP_int_int(number_number_of_int,V_2)))->posDivAlg(hAPP_int_int(number_number_of_int,W),hAPP_int_int(number_number_of_int,V_2))=hAPP_P1975530577nt_int(adjust(hAPP_int_int(number_number_of_int,V_2)),posDivAlg(hAPP_int_int(number_number_of_int,W),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),hAPP_int_int(number_number_of_int,V_2)))))).
% 114.84/113.67  all A_2 B_1 ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_2),B_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_1),zero_zero_int))->posDivAlg(A_2,B_1)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,zero_zero_int),A_2))& (-(hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_2),B_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_1),zero_zero_int)))->posDivAlg(A_2,B_1)=hAPP_P1975530577nt_int(adjust(B_1),posDivAlg(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_1))))).
% 114.84/113.67  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)))))).
% 114.84/113.67  all A_2 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_2),B_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_1),zero_zero_int))->negDivAlg(A_2,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_2),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_2),B_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_1),zero_zero_int)))->negDivAlg(A_2,B_1)=hAPP_P1975530577nt_int(adjust(B_1),negDivAlg(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_1))))).
% 114.84/113.67  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)))))))).
% 114.84/113.67  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)))))))).
% 114.84/113.67  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))))).
% 114.84/113.67  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)))))))).
% 114.84/113.67  all N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))->hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,N_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N_1)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,zero_zero_real),N_1))=zero_zero_real).
% 114.84/113.67  all N_1 (hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N_1))!=zero_zero_real).
% 114.84/113.67  all N_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N_1)))).
% 114.84/113.67  all N_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N_1)))).
% 114.84/113.67  all N_1 M_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),hAPP_nat_nat(suc,M_1)))->hAPP_nat_nat(fact_fact_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(suc,M_1)),N_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(suc,M_1)),N_1)),hAPP_nat_nat(fact_fact_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N_1)))).
% 114.84/113.67  all N_1 M_1 ((M_1=zero_zero_nat->hAPP_nat_nat(fact_fact_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N_1))=hAPP_nat_nat(fact_fact_nat,N_1))& (M_1!=zero_zero_nat->hAPP_nat_nat(fact_fact_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N_1)),hAPP_nat_nat(fact_fact_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),one_one_nat)),N_1))))).
% 114.84/113.67  all M_1 N_1 ((hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N_1)=zero_zero_nat->hAPP_nat_nat(fact_fact_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N_1))=one_one_nat)& (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N_1)!=zero_zero_nat->hAPP_nat_nat(fact_fact_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N_1)),hAPP_nat_nat(fact_fact_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N_1)),one_one_nat))))).
% 114.84/113.67  all N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))->hAPP_nat_nat(fact_fact_nat,N_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N_1),hAPP_nat_nat(fact_fact_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_1),one_one_nat)))).
% 114.84/113.67  all M_1 ((M_1=zero_zero_nat->hAPP_nat_nat(fact_fact_nat,M_1)=one_one_nat)& (M_1!=zero_zero_nat->hAPP_nat_nat(fact_fact_nat,M_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),hAPP_nat_nat(fact_fact_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),one_one_nat))))).
% 114.84/113.67  all N (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(hAPP_b646336293l_real(if_real,hAPP_nat_bool(even_odd_even_nat,N)),zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),hAPP_nat_nat(suc,zero_zero_nat))),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N))))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,zero_zero_real),N))=zero_zero_real).
% 114.84/113.67  -hBOOL(hAPP_nat_bool(even_odd_even_nat,one_one_nat)).
% 114.84/113.67  all X_1 Y_2 (hBOOL(hAPP_nat_bool(even_odd_even_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,X_1),Y_2)))<->hBOOL(hAPP_nat_bool(even_odd_even_nat,X_1))|hBOOL(hAPP_nat_bool(even_odd_even_nat,Y_2))).
% 114.84/113.67  all X_1 Y_2 (hBOOL(hAPP_nat_bool(even_odd_even_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X_1),Y_2)))<->hBOOL(hAPP_nat_bool(even_odd_even_nat,X_1))&hBOOL(hAPP_nat_bool(even_odd_even_nat,Y_2))| -hBOOL(hAPP_nat_bool(even_odd_even_nat,X_1))& -hBOOL(hAPP_nat_bool(even_odd_even_nat,Y_2))).
% 114.84/113.67  all M N (hBOOL(hAPP_nat_bool(even_odd_even_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),N)))<-> (hBOOL(hAPP_nat_bool(even_odd_even_nat,M))<->hBOOL(hAPP_nat_bool(even_odd_even_nat,N)))).
% 114.84/113.67  all M N (-hBOOL(hAPP_nat_bool(even_odd_even_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),N)))<-> -(-hBOOL(hAPP_nat_bool(even_odd_even_nat,M))<-> -hBOOL(hAPP_nat_bool(even_odd_even_nat,N)))).
% 114.84/113.67  all X_1 (hBOOL(hAPP_nat_bool(even_odd_even_nat,hAPP_nat_nat(suc,X_1)))<-> -hBOOL(hAPP_nat_bool(even_odd_even_nat,X_1))).
% 114.84/113.67  hBOOL(hAPP_nat_bool(even_odd_even_nat,zero_zero_nat)).
% 114.84/113.67  all N_1 (-hBOOL(hAPP_nat_bool(even_odd_even_nat,N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))).
% 114.84/113.67  all X_1 Y_2 (hBOOL(hAPP_nat_bool(even_odd_even_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,X_1),Y_2)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_2))|hBOOL(hAPP_nat_bool(even_odd_even_nat,X_1))&hBOOL(hAPP_nat_bool(even_odd_even_nat,Y_2))| -hBOOL(hAPP_nat_bool(even_odd_even_nat,X_1))& -hBOOL(hAPP_nat_bool(even_odd_even_nat,Y_2))).
% 114.84/113.67  all X_1 (hBOOL(hAPP_nat_bool(even_odd_even_nat,X_1))<-> (exists Y_1 (X_1=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat))),Y_1)))).
% 114.84/113.67  all X_1 (-hBOOL(hAPP_nat_bool(even_odd_even_nat,X_1))<-> (exists Y_1 (X_1=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat))),Y_1))))).
% 114.84/113.67  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)))).
% 114.84/113.67  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))))).
% 114.84/113.67  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)).
% 114.84/113.67  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).
% 114.84/113.67  all X_1 (-hBOOL(hAPP_nat_bool(even_odd_even_nat,X_1))<->hAPP_nat_nat(div_mod_nat(X_1),hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat)))=hAPP_nat_nat(suc,zero_zero_nat)).
% 114.84/113.67  all X_1 (hBOOL(hAPP_nat_bool(even_odd_even_nat,X_1))<->hAPP_nat_nat(div_mod_nat(X_1),hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat)))=zero_zero_nat).
% 114.84/113.67  all X_1 Y_2 (hBOOL(hAPP_nat_bool(even_odd_even_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_1),Y_2)))<->hBOOL(hAPP_nat_bool(even_odd_even_nat,X_1))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Y_2))).
% 114.84/113.67  all N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))-> (hBOOL(hAPP_nat_bool(even_odd_even_nat,N))<-> -hBOOL(hAPP_nat_bool(even_odd_even_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),one_one_nat))))).
% 114.84/113.67  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).
% 114.84/113.67  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).
% 114.84/113.67  all N (hBOOL(hAPP_nat_bool(even_odd_even_nat,N))<-> (exists M_2 (N=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),M_2)))).
% 114.84/113.67  all N (hBOOL(hAPP_nat_bool(even_odd_even_nat,N))<->hBOOL(hAPP_nat_bool(even_odd_even_nat,hAPP_nat_nat(div_mod_nat(N),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))).
% 114.84/113.67  all N (-hBOOL(hAPP_nat_bool(even_odd_even_nat,N))<-> (exists M_2 (N=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),M_2))))).
% 114.84/113.67  all N_1 (hBOOL(hAPP_nat_bool(even_odd_even_nat,N_1))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_1),one_one_nat)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,N_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))).
% 114.84/113.67  all N_1 (hAPP_nat_nat(fact_fact_nat,N_1)!=zero_zero_nat).
% 114.84/113.67  all M_1 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(fact_fact_nat,M_1)),hAPP_nat_nat(fact_fact_nat,N_1)))).
% 114.84/113.67  hAPP_nat_nat(fact_fact_nat,one_one_nat)=one_one_nat.
% 114.84/113.67  all N_1 (-hBOOL(hAPP_nat_bool(even_odd_even_nat,N_1))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_1),one_one_nat)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,N_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))).
% 114.84/113.67  all N_1 (hAPP_nat_nat(div_mod_nat(N_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))=hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit1,hAPP_int_int(bit1,pls)))-> -hBOOL(hAPP_nat_bool(even_odd_even_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_1),one_one_nat)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))).
% 114.84/113.67  all N_1 (hAPP_nat_nat(div_mod_nat(N_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))=one_one_nat->hBOOL(hAPP_nat_bool(even_odd_even_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_1),one_one_nat)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))).
% 114.84/113.67  hAPP_nat_nat(fact_fact_nat,zero_zero_nat)=hAPP_nat_nat(suc,zero_zero_nat).
% 114.84/113.67  hAPP_nat_nat(fact_fact_nat,hAPP_nat_nat(suc,zero_zero_nat))=hAPP_nat_nat(suc,zero_zero_nat).
% 114.84/113.67  all N_1 M_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),M_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(fact_fact_nat,M_1)),hAPP_nat_nat(fact_fact_nat,N_1))))).
% 114.84/113.67  all N_1 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(fact_fact_nat,N_1))).
% 114.84/113.67  all X_1 (hAPP_real_real(cos,X_1)=zero_zero_real<-> (exists N_2 (-hBOOL(hAPP_nat_bool(even_odd_even_nat,N_2))&X_1=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N_2)),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))| (exists N_2 (-hBOOL(hAPP_nat_bool(even_odd_even_nat,N_2))&X_1=hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N_2)),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))))).
% 114.84/113.67  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))).
% 114.84/113.67  all N_1 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,one_one_nat),hAPP_nat_nat(fact_fact_nat,N_1))).
% 114.84/113.67  all N_1 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,zero_zero_nat)),hAPP_nat_nat(fact_fact_nat,N_1))).
% 114.84/113.67  all N_1 (hAPP_nat_nat(fact_fact_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_1),one_one_nat))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_1),one_one_nat)),hAPP_nat_nat(fact_fact_nat,N_1))).
% 114.84/113.67  all M_1 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1))->hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(fact_fact_nat,N_1)),hAPP_nat_nat(fact_fact_nat,M_1))=zero_zero_nat).
% 114.84/113.67  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_2 (-hBOOL(hAPP_nat_bool(even_odd_even_nat,N_2))&X=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N_2)),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))))).
% 114.84/113.67  all N_1 (-hBOOL(hAPP_nat_bool(even_odd_even_nat,N_1))-> (exists X_2 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,N_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),X_2)),one_one_nat)))).
% 114.84/113.67  all X_2 ((hBOOL(hAPP_nat_bool(even_odd_even_nat,X_2))->hAPP_nat_real(sin_coeff,X_2)=zero_zero_real)& (-hBOOL(hAPP_nat_bool(even_odd_even_nat,X_2))->hAPP_nat_real(sin_coeff,X_2)=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_2),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_2))))).
% 114.84/113.67  all N_1 (hBOOL(hAPP_nat_bool(even_odd_even_nat,N_1))-> (exists X_2 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,N_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),X_2)))).
% 114.84/113.67  all X_2 ((hBOOL(hAPP_nat_bool(even_odd_even_nat,X_2))->hAPP_nat_real(cos_coeff,X_2)=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_2),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_2))))& (-hBOOL(hAPP_nat_bool(even_odd_even_nat,X_2))->hAPP_nat_real(cos_coeff,X_2)=zero_zero_real)).
% 114.84/113.67  all P_3 A_2 (hAPP_int_int(inv(P_3),A_2)=hAPP_int_int(div_mod_int(hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_2),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)).
% 114.84/113.67  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))).
% 114.84/113.67  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)))).
% 114.84/113.67  all N_1 (hAPP_real_real(sin,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N_1)))),pi)),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))=hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min)),N_1)).
% 114.84/113.67  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))))))))).
% 114.84/113.67  hAPP_real_real(sin,zero_zero_real)=zero_zero_real.
% 114.84/113.67  all X (hAPP_real_real(sin,hAPP_real_real(uminus_uminus_real,X))=hAPP_real_real(uminus_uminus_real,hAPP_real_real(sin,X))).
% 114.84/113.67  all X hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(sin,X)),one_one_real)).
% 114.84/113.67  hAPP_real_real(sin,pi)=zero_zero_real.
% 114.84/113.67  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))).
% 114.84/113.67  all Y_2 X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Y_2))-> (hAPP_real_real(ln,X_1)=hAPP_real_real(ln,Y_2)<->X_1=Y_2))).
% 114.84/113.67  all Y_2 X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Y_2))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(ln,X_1)),hAPP_real_real(ln,Y_2)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_2))))).
% 114.84/113.67  hAPP_real_real(ln,one_one_real)=zero_zero_real.
% 114.84/113.67  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))).
% 114.84/113.67  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)).
% 114.84/113.67  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))))).
% 114.84/113.67  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))))).
% 114.84/113.67  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))).
% 114.84/113.67  all X (hAPP_real_real(cos,X)=one_one_real->hAPP_real_real(sin,X)=zero_zero_real).
% 114.84/113.67  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)).
% 114.84/113.67  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)))).
% 114.84/113.67  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)))).
% 114.84/113.67  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)))).
% 114.84/113.67  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))).
% 114.84/113.67  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))).
% 114.84/113.67  all Y_2 X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Y_2))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(ln,X_1)),hAPP_real_real(ln,Y_2)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_2))))).
% 114.84/113.67  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))).
% 114.84/113.67  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)))).
% 114.84/113.67  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)))).
% 114.84/113.67  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(ln,X_1)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),X_1)))).
% 114.84/113.67  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))-> (hAPP_real_real(ln,X_1)=zero_zero_real<->X_1=one_one_real)).
% 114.84/113.67  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(ln,X_1)),zero_zero_real))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),one_one_real)))).
% 114.84/113.67  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)))).
% 114.84/113.67  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)))).
% 114.84/113.67  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).
% 114.84/113.67  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)))).
% 114.84/113.67  all N_1 (hAPP_real_real(sin,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,pi),hAPP_nat_real(real_nat,N_1)))=zero_zero_real).
% 114.84/113.67  all N_1 (hAPP_real_real(sin,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N_1)),pi))=zero_zero_real).
% 114.84/113.67  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).
% 114.84/113.67  all X (hAPP_real_real(sin,X)=zero_zero_real->hAPP_real_real(abs_abs_real,hAPP_real_real(cos,X))=one_one_real).
% 114.84/113.67  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)))).
% 114.84/113.67  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)))).
% 114.84/113.67  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)))).
% 114.84/113.67  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)))).
% 114.84/113.67  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(ln,X_1)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),X_1)))).
% 114.84/113.67  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)))).
% 114.84/113.67  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))).
% 114.84/113.67  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)))).
% 114.84/113.67  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))).
% 114.84/113.67  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))))).
% 114.84/113.67  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)))))).
% 114.84/113.67  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)).
% 114.84/113.67  all A_2 ((A_2=zero_zero_real->hAPP_real_real(sgn_sgn_real,A_2)=zero_zero_real)& (A_2!=zero_zero_real-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_2))->hAPP_real_real(sgn_sgn_real,A_2)=one_one_real)& (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_2))->hAPP_real_real(sgn_sgn_real,A_2)=hAPP_real_real(uminus_uminus_real,one_one_real)))).
% 114.84/113.67  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)))).
% 114.84/113.67  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)).
% 114.84/113.67  all N_1 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_1))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N_1)),hAPP_real_real(ln,X))).
% 114.84/113.67  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))))).
% 114.84/113.67  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))).
% 114.84/113.67  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))))).
% 114.84/113.67  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.
% 114.84/113.67  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)).
% 114.84/113.67  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)))).
% 114.84/113.67  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.
% 114.84/113.67  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))))).
% 114.84/113.67  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)))))).
% 114.84/113.67  all R_3 A_2 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,R_3),hAPP_real_real(cos,A_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,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,R_3),hAPP_real_real(sin,A_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,R_3),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))).
% 114.84/113.67  all N_1 (hAPP_real_real(sin,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),hAPP_nat_real(real_nat,N_1))),pi))=zero_zero_real).
% 114.84/113.67  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).
% 114.84/113.67  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).
% 114.84/113.67  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)))))).
% 114.84/113.67  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)))))).
% 114.84/113.67  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)))))).
% 114.84/113.67  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))).
% 114.84/113.67  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))).
% 114.84/113.67  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)))))))).
% 114.84/113.67  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)))).
% 114.84/113.67  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)))))).
% 114.84/113.67  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).
% 114.84/113.67  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))))))).
% 114.84/113.67  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)).
% 114.84/113.67  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).
% 114.84/113.67  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).
% 114.84/113.67  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)))))).
% 114.84/113.67  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)))))))).
% 114.84/113.67  all X M_1 (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_1))),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_1)),pi)),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))).
% 114.84/113.67  all X_1 (hAPP_real_real(sin,X_1)=zero_zero_real<-> (exists N_2 (hBOOL(hAPP_nat_bool(even_odd_even_nat,N_2))&X_1=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N_2)),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))| (exists N_2 (hBOOL(hAPP_nat_bool(even_odd_even_nat,N_2))&X_1=hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N_2)),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))))).
% 114.84/113.67  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)).
% 114.84/113.67  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)).
% 114.84/113.67  all X M_1 (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_1))),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_1)),pi)),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))).
% 114.84/113.67  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_2 (hBOOL(hAPP_nat_bool(even_odd_even_nat,N_2))&X=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N_2)),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))))).
% 114.84/113.67  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_2 (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_2))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_2),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))&hAPP_real_real(sin,X_2)=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_2)))))).
% 114.84/113.67  all N_1 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_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_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,one_one_real),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),N_1)))))).
% 114.84/113.67  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)))))))).
% 114.84/113.67  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)))))))).
% 114.84/113.67  hAPP_real_real(inverse_inverse_real,zero_zero_real)=zero_zero_real.
% 114.84/113.67  all X (hAPP_real_real(sqrt,hAPP_real_real(uminus_uminus_real,X))=hAPP_real_real(uminus_uminus_real,hAPP_real_real(sqrt,X))).
% 114.84/113.68  all X_1 Y_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(sqrt,X_1)),hAPP_real_real(sqrt,Y_2)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_2))).
% 114.84/113.68  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)))).
% 114.84/113.68  all X_1 (hAPP_real_real(sqrt,X_1)=zero_zero_real<->X_1=zero_zero_real).
% 114.84/113.68  hAPP_real_real(sqrt,zero_zero_real)=zero_zero_real.
% 114.84/113.68  all X (hAPP_real_real(sqrt,hAPP_real_real(inverse_inverse_real,X))=hAPP_real_real(inverse_inverse_real,hAPP_real_real(sqrt,X))).
% 114.84/113.68  all X_1 Y_2 (hAPP_real_real(sqrt,X_1)=hAPP_real_real(sqrt,Y_2)<->X_1=Y_2).
% 114.84/113.68  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))).
% 114.84/113.68  hAPP_real_real(sqrt,one_one_real)=one_one_real.
% 114.84/113.68  all X_1 (hAPP_real_real(sqrt,X_1)=one_one_real<->X_1=one_one_real).
% 114.84/113.68  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)).
% 114.84/113.68  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))).
% 114.84/113.68  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)))).
% 114.84/113.68  all X_1 Y_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(sqrt,X_1)),hAPP_real_real(sqrt,Y_2)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_2))).
% 114.84/113.68  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))).
% 114.84/113.68  all Y_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(sqrt,Y_2)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Y_2))).
% 114.84/113.68  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(sqrt,X_1)),zero_zero_real))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),zero_zero_real))).
% 114.84/113.68  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)))).
% 114.84/113.68  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)).
% 114.84/113.68  all Y_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(sqrt,Y_2)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Y_2))).
% 114.84/113.68  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(sqrt,X_1)),zero_zero_real))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),zero_zero_real))).
% 114.84/113.68  all X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))->hAPP_real_real(sqrt,X)!=zero_zero_real).
% 114.84/113.68  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)))).
% 114.84/113.68  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)))).
% 114.84/113.68  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(sqrt,X_1)),one_one_real))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),one_one_real))).
% 114.84/113.68  all Y_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),hAPP_real_real(sqrt,Y_2)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),Y_2))).
% 114.84/113.68  all Y_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),hAPP_real_real(sqrt,Y_2)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),Y_2))).
% 114.84/113.68  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(sqrt,X_1)),one_one_real))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),one_one_real))).
% 114.84/113.68  all X (hAPP_real_real(sqrt,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X),X))=hAPP_real_real(abs_abs_real,X)).
% 114.84/113.68  all R S_5 (hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,R),S_5)=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,R),hAPP_real_real(inverse_inverse_real,S_5))).
% 114.84/113.68  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))).
% 114.84/113.68  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))))).
% 114.84/113.68  all Y U_1 X1_2 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_2))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X1_2),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_2))))))).
% 114.84/113.68  all Y U_1 X1_2 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_2))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X1_2),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_2)),U_1)))))).
% 114.84/113.68  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).
% 114.84/113.68  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)).
% 114.84/113.68  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))))).
% 114.84/113.68  all N_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(inverse_inverse_real,hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N_1))))).
% 114.84/113.68  all N_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(inverse_inverse_real,hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N_1))))).
% 114.84/113.68  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))).
% 114.84/113.68  all 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)))).
% 114.84/113.68  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)))))).
% 114.84/113.68  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)))))).
% 114.84/113.68  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)))))).
% 114.84/113.68  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)).
% 114.84/113.68  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)))).
% 114.84/113.68  all X_1 (hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(sqrt,X_1)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=X_1<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_1))).
% 114.84/113.68  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).
% 114.84/113.68  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)).
% 114.84/113.68  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))))))).
% 114.84/113.68  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))).
% 114.84/113.68  all A_2 C_1 B_1 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_2),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_1),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_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,B_1),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))))))))).
% 114.84/113.68  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)))))))).
% 114.84/113.68  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)))))))).
% 114.84/113.68  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).
% 114.84/113.68  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).
% 114.84/113.68  all X Y Xa_2 Ya (hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(sqrt,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X),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),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),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))).
% 114.84/113.68  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)))).
% 114.84/113.68  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)))).
% 114.84/113.68  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)))).
% 114.84/113.68  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)))).
% 114.84/113.68  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)))))))).
% 114.84/113.68  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)))))))).
% 114.84/113.68  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)))))))).
% 114.84/113.68  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))))).
% 114.84/113.68  all X Y Xa_2 Ya hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(sqrt,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X),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),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))))).
% 114.84/113.68  all X_4 Y_4 (hAPP_real_real(cos,hAPP_real_real(arccos,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,X_4),hAPP_real_real(sqrt,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_4),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,Y_4),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))))=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,X_4),hAPP_real_real(sqrt,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_4),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,Y_4),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))).
% 114.84/113.68  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)).
% 114.84/113.68  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)))).
% 114.84/113.68  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))))).
% 114.84/113.68  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))))))).
% 114.84/113.68  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))))))))))).
% 114.84/113.68  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))))))).
% 114.84/113.68  all X_4 Y_4 (hAPP_real_real(sin,hAPP_real_real(arccos,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,X_4),hAPP_real_real(sqrt,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_4),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,Y_4),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))))=hAPP_real_real(sqrt,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,one_one_real),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,X_4),hAPP_real_real(sqrt,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_4),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,Y_4),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))).
% 114.84/113.68  all X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))-> (exists N_2 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(inverse_inverse_real,hAPP_nat_real(real_nat,hAPP_nat_nat(suc,N_2)))),X)))).
% 114.84/113.68  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(number267125858f_real,min)),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),one_one_real))->hBOOL(hAPP_real_bool(deriv_real(arccos,X_1),hAPP_real_real(inverse_inverse_real,hAPP_real_real(uminus_uminus_real,hAPP_real_real(sqrt,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,one_one_real),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))))))).
% 114.84/113.68  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(number267125858f_real,min)),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),one_one_real))->hBOOL(hAPP_real_bool(deriv_real(arcsin,X_1),hAPP_real_real(inverse_inverse_real,hAPP_real_real(sqrt,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,one_one_real),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))))))).
% 114.84/113.68  all P_1 N Aa Ba (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba))->hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_P731461727l_real(produc556554744l_real,hAPP_n332733730l_real(bolzano_bisect(P_1,Aa,Ba),N))),hAPP_P731461727l_real(produc1935615926l_real,hAPP_n332733730l_real(bolzano_bisect(P_1,Aa,Ba),N)))=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Ba),Aa)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N))).
% 114.84/113.68  all P_1 Aa Ba (hAPP_n332733730l_real(bolzano_bisect(P_1,Aa,Ba),zero_zero_nat)=hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,Aa),Ba)).
% 114.84/113.68  all P_1 Aa Ba (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba))-> (all N_2 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_P731461727l_real(produc1935615926l_real,hAPP_n332733730l_real(bolzano_bisect(P_1,Aa,Ba),N_2))),hAPP_P731461727l_real(produc556554744l_real,hAPP_n332733730l_real(bolzano_bisect(P_1,Aa,Ba),N_2)))))).
% 114.84/113.68  all X_1 hBOOL(hAPP_real_bool(deriv_real(sin,X_1),hAPP_real_real(cos,X_1))).
% 114.84/113.68  all X_1 hBOOL(hAPP_real_bool(deriv_real(cos,X_1),hAPP_real_real(uminus_uminus_real,hAPP_real_real(sin,X_1)))).
% 114.84/113.68  all P_1 Aa Ba (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba))-> (all N_2 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_P731461727l_real(produc1935615926l_real,hAPP_n332733730l_real(bolzano_bisect(P_1,Aa,Ba),N_2))),hAPP_P731461727l_real(produc1935615926l_real,hAPP_n332733730l_real(bolzano_bisect(P_1,Aa,Ba),hAPP_nat_nat(suc,N_2))))))).
% 114.84/113.68  all P_1 Aa Ba (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba))-> (all N_2 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_P731461727l_real(produc556554744l_real,hAPP_n332733730l_real(bolzano_bisect(P_1,Aa,Ba),hAPP_nat_nat(suc,N_2)))),hAPP_P731461727l_real(produc556554744l_real,hAPP_n332733730l_real(bolzano_bisect(P_1,Aa,Ba),N_2)))))).
% 114.84/113.68  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))->hBOOL(hAPP_real_bool(deriv_real(ln,X_1),hAPP_real_real(inverse_inverse_real,X_1)))).
% 114.84/113.68  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))->hBOOL(hAPP_real_bool(deriv_real(ln,X_1),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,one_one_real),X_1)))).
% 114.84/113.68  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))->hBOOL(hAPP_real_bool(deriv_real(sqrt,X_1),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(inverse_inverse_real,hAPP_real_real(sqrt,X_1))),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))).
% 114.84/113.68  all X_1 (hAPP_real_real(cos,X_1)!=zero_zero_real->hBOOL(hAPP_real_bool(deriv_real(tan,X_1),hAPP_real_real(inverse_inverse_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(cos,X_1)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))).
% 114.84/113.68  all X_1 hBOOL(hAPP_real_bool(deriv_real(arctan,X_1),hAPP_real_real(inverse_inverse_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,one_one_real),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))).
% 114.84/113.68  all D_1 X_1 (X_1!=zero_zero_real-> ((hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))->D_1=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(inverse_inverse_real,hAPP_real_real(sqrt,X_1))),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))-> ((hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),zero_zero_real))->D_1=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(uminus_uminus_real,hAPP_real_real(inverse_inverse_real,hAPP_real_real(sqrt,X_1)))),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))->hBOOL(hAPP_real_bool(deriv_real(sqrt,X_1),D_1))))).
% 114.84/113.68  all V K_1 Aa Ba (Aa!=Ba-> ((all X_2 hBOOL(hAPP_real_bool(deriv_real(V,X_2),K_1)))->hAPP_real_real(V,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Aa),Ba)),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(V,Aa)),hAPP_real_real(V,Ba))),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))).
% 114.84/113.68  all D F X_1 L (hBOOL(hAPP_real_bool(deriv_real(F,X_1),L))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D))-> ((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_1),Y_1))),D))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(F,Y_1)),hAPP_real_real(F,X_1)))))->L=zero_zero_real))).
% 114.84/113.68  all D F X_1 L (hBOOL(hAPP_real_bool(deriv_real(F,X_1),L))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D))-> ((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_1),Y_1))),D))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(F,X_1)),hAPP_real_real(F,Y_1)))))->L=zero_zero_real))).
% 114.84/113.68  all D F X_1 L (hBOOL(hAPP_real_bool(deriv_real(F,X_1),L))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D))-> ((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_1),Y_1))),D))->hAPP_real_real(F,X_1)=hAPP_real_real(F,Y_1)))->L=zero_zero_real))).
% 114.84/113.68  all N Aa Ba P_1 ((all A_1 B_3 C_3 (hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,A_1),B_3)))-> (hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,B_3),C_3)))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_1),B_3))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_3),C_3))->hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,A_1),C_3))))))))-> (-hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,Aa),Ba)))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba))-> -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,Aa,Ba),N))),hAPP_P731461727l_real(produc556554744l_real,hAPP_n332733730l_real(bolzano_bisect(P_1,Aa,Ba),N)))))))).
% 114.84/113.68  all Aa Ba P_1 ((all A_1 B_3 C_3 (hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,A_1),B_3)))&hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,B_3),C_3)))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_1),B_3))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_3),C_3))->hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,A_1),C_3)))))-> (-hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,Aa),Ba)))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba))-> (all N_2 (-hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,hAPP_P731461727l_real(produc1935615926l_real,hAPP_n332733730l_real(bolzano_bisect(P_1,Aa,Ba),N_2))),hAPP_P731461727l_real(produc556554744l_real,hAPP_n332733730l_real(bolzano_bisect(P_1,Aa,Ba),N_2)))))))))).
% 114.84/113.68  all F X_1 L (hBOOL(hAPP_real_bool(deriv_real(F,X_1),L))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),L))-> (exists D_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D_2))& (all H_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),H_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,H_1),D_2))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(F,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X_1),H_1))),hAPP_real_real(F,X_1)))))))))).
% 114.84/113.68  all F X_1 L (hBOOL(hAPP_real_bool(deriv_real(F,X_1),L))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,L),zero_zero_real))-> (exists D_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D_2))& (all H_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),H_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,H_1),D_2))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(F,X_1)),hAPP_real_real(F,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X_1),H_1))))))))))).
% 114.84/113.68  all F X_1 L (hBOOL(hAPP_real_bool(deriv_real(F,X_1),L))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),L))-> (exists D_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D_2))& (all H_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),H_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,H_1),D_2))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(F,X_1)),hAPP_real_real(F,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_1),H_1))))))))))).
% 114.84/113.68  all F X_1 L (hBOOL(hAPP_real_bool(deriv_real(F,X_1),L))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,L),zero_zero_real))-> (exists D_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D_2))& (all H_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),H_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,H_1),D_2))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(F,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_1),H_1))),hAPP_real_real(F,X_1)))))))))).
% 114.84/113.68  all F K_1 Aa Ba (Aa!=Ba-> ((all X_2 hBOOL(hAPP_real_bool(deriv_real(F,X_2),K_1)))->hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(F,Ba)),hAPP_real_real(F,Aa))),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Ba),Aa))=K_1)).
% 114.84/113.68  all F K_1 Aa Ba (Aa!=Ba-> ((all X_2 hBOOL(hAPP_real_bool(deriv_real(F,X_2),K_1)))->hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(F,Ba)),hAPP_real_real(F,Aa))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Ba),Aa)),K_1))).
% 114.84/113.68  all D_1 X_1 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))-> (X_1!=zero_zero_real-> ((hBOOL(hAPP_nat_bool(even_odd_even_nat,N))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))->D_1=hAPP_real_real(inverse_inverse_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(hAPP_n546711566l_real(root,N),X_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),hAPP_nat_nat(suc,zero_zero_nat)))))))-> ((hBOOL(hAPP_nat_bool(even_odd_even_nat,N))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),zero_zero_real))->D_1=hAPP_real_real(uminus_uminus_real,hAPP_real_real(inverse_inverse_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(hAPP_n546711566l_real(root,N),X_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),hAPP_nat_nat(suc,zero_zero_nat))))))))-> ((-hBOOL(hAPP_nat_bool(even_odd_even_nat,N))->D_1=hAPP_real_real(inverse_inverse_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(hAPP_n546711566l_real(root,N),X_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),hAPP_nat_nat(suc,zero_zero_nat))))))->hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(root,N),X_1),D_1))))))).
% 114.84/113.68  all X_1 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))-> (hBOOL(hAPP_nat_bool(even_odd_even_nat,N))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),zero_zero_real))->hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(root,N),X_1),hAPP_real_real(inverse_inverse_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(uminus_uminus_real,hAPP_nat_real(real_nat,N))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(hAPP_n546711566l_real(root,N),X_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),hAPP_nat_nat(suc,zero_zero_nat)))))))))).
% 114.84/113.68  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))).
% 114.84/113.68  all X_1 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_1))->hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(root,N),X_1),hAPP_real_real(inverse_inverse_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(hAPP_n546711566l_real(root,N),X_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),hAPP_nat_nat(suc,zero_zero_nat))))))))).
% 114.84/113.68  all N_1 (hAPP_real_real(hAPP_n546711566l_real(root,N_1),zero_zero_real)=zero_zero_real).
% 114.84/113.68  all X (hAPP_real_real(hAPP_n546711566l_real(root,hAPP_nat_nat(suc,zero_zero_nat)),X)=X).
% 114.84/113.68  all X N_1 M_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),M_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))->hAPP_real_real(hAPP_n546711566l_real(root,M_1),hAPP_real_real(hAPP_n546711566l_real(root,N_1),X))=hAPP_real_real(hAPP_n546711566l_real(root,N_1),hAPP_real_real(hAPP_n546711566l_real(root,M_1),X)))).
% 114.84/113.68  all X_1 Y_2 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))-> (hAPP_real_real(hAPP_n546711566l_real(root,N),X_1)=hAPP_real_real(hAPP_n546711566l_real(root,N),Y_2)<->X_1=Y_2)).
% 114.84/113.68  all X N_1 (-hBOOL(hAPP_nat_bool(even_odd_even_nat,N_1))->hAPP_real_real(hAPP_n546711566l_real(root,N_1),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X),N_1))=X).
% 114.84/113.68  all X N_1 (-hBOOL(hAPP_nat_bool(even_odd_even_nat,N_1))->hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(hAPP_n546711566l_real(root,N_1),X)),N_1)=X).
% 114.84/113.68  all Y X N_1 (-hBOOL(hAPP_nat_bool(even_odd_even_nat,N_1))-> (hAPP_nat_real(hAPP_r474017924t_real(power_power_real,Y),N_1)=X->hAPP_real_real(hAPP_n546711566l_real(root,N_1),X)=Y)).
% 114.84/113.68  all X Y N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),Y))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_n546711566l_real(root,N_1),X)),hAPP_real_real(hAPP_n546711566l_real(root,N_1),Y))))).
% 114.84/113.68  all X_1 Y_2 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_n546711566l_real(root,N),X_1)),hAPP_real_real(hAPP_n546711566l_real(root,N),Y_2)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_2)))).
% 114.84/113.68  all X_1 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))-> (hAPP_real_real(hAPP_n546711566l_real(root,N),X_1)=zero_zero_real<->X_1=zero_zero_real)).
% 114.84/113.68  all X Y N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X),Y))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_n546711566l_real(root,N_1),X)),hAPP_real_real(hAPP_n546711566l_real(root,N_1),Y))))).
% 114.84/113.68  all X_1 Y_2 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_n546711566l_real(root,N),X_1)),hAPP_real_real(hAPP_n546711566l_real(root,N),Y_2)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_2)))).
% 114.84/113.68  all X Y N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))->hAPP_real_real(hAPP_n546711566l_real(root,N_1),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X),Y))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_n546711566l_real(root,N_1),X)),hAPP_real_real(hAPP_n546711566l_real(root,N_1),Y))).
% 114.84/113.68  all X N_1 M_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),M_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))->hAPP_real_real(hAPP_n546711566l_real(root,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),N_1)),X)=hAPP_real_real(hAPP_n546711566l_real(root,M_1),hAPP_real_real(hAPP_n546711566l_real(root,N_1),X)))).
% 114.84/113.68  all X K_2 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))->hAPP_real_real(hAPP_n546711566l_real(root,N_1),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X),K_2))=hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(hAPP_n546711566l_real(root,N_1),X)),K_2)).
% 114.84/113.68  all X_1 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))-> (hAPP_real_real(hAPP_n546711566l_real(root,N),X_1)=one_one_real<->X_1=one_one_real)).
% 114.84/113.68  all N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))->hAPP_real_real(hAPP_n546711566l_real(root,N_1),one_one_real)=one_one_real).
% 114.84/113.68  all X Y N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))->hAPP_real_real(hAPP_n546711566l_real(root,N_1),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,X),Y))=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_n546711566l_real(root,N_1),X)),hAPP_real_real(hAPP_n546711566l_real(root,N_1),Y))).
% 114.84/113.68  all X N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))->hAPP_real_real(hAPP_n546711566l_real(root,N_1),hAPP_real_real(uminus_uminus_real,X))=hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_n546711566l_real(root,N_1),X))).
% 114.84/113.68  all X N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))->hAPP_real_real(hAPP_n546711566l_real(root,N_1),hAPP_real_real(abs_abs_real,X))=hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_n546711566l_real(root,N_1),X))).
% 114.84/113.68  all X N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))->hAPP_real_real(hAPP_n546711566l_real(root,N_1),hAPP_real_real(inverse_inverse_real,X))=hAPP_real_real(inverse_inverse_real,hAPP_real_real(hAPP_n546711566l_real(root,N_1),X))).
% 114.84/113.68  all X N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(hAPP_n546711566l_real(root,N_1),X))))).
% 114.84/113.68  all X_1 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_n546711566l_real(root,N),X_1)),zero_zero_real))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),zero_zero_real)))).
% 114.84/113.68  all Y_2 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(hAPP_n546711566l_real(root,N),Y_2)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Y_2)))).
% 114.84/113.68  all Y_2 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(hAPP_n546711566l_real(root,N),Y_2)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Y_2)))).
% 114.84/113.68  all X_1 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_n546711566l_real(root,N),X_1)),zero_zero_real))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),zero_zero_real)))).
% 114.84/113.68  all X N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(hAPP_n546711566l_real(root,N_1),X))))).
% 114.84/113.68  all X N_6 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),N_6))-> (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_6),X)),hAPP_real_real(hAPP_n546711566l_real(root,N_1),X)))))).
% 114.84/113.68  all X_1 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_n546711566l_real(root,N),X_1)),one_one_real))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),one_one_real)))).
% 114.84/113.68  all Y_2 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),hAPP_real_real(hAPP_n546711566l_real(root,N),Y_2)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),Y_2)))).
% 114.84/113.68  all X N_6 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),N_6))-> (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_6),X)),hAPP_real_real(hAPP_n546711566l_real(root,N_1),X)))))).
% 114.84/113.68  all X_1 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_n546711566l_real(root,N),X_1)),one_one_real))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),one_one_real)))).
% 114.84/113.68  all Y_2 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),hAPP_real_real(hAPP_n546711566l_real(root,N),Y_2)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),Y_2)))).
% 114.84/113.68  all N_1 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_1)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X),hAPP_nat_nat(suc,N_1)))=X).
% 114.84/113.68  all Y X N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X))-> (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_1),X)),hAPP_real_real(hAPP_n546711566l_real(root,N_1),Y)))))).
% 114.84/113.68  all X_4 N_7 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_7))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_4))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(hAPP_n546711566l_real(root,N_7),X_4))))).
% 114.84/113.68  all Y X N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Y))->hAPP_real_real(hAPP_n546711566l_real(root,N_1),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_1),X)),hAPP_real_real(hAPP_n546711566l_real(root,N_1),Y))))).
% 114.84/113.68  all X N_1 M_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),M_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))->hAPP_real_real(hAPP_n546711566l_real(root,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),N_1)),X)=hAPP_real_real(hAPP_n546711566l_real(root,M_1),hAPP_real_real(hAPP_n546711566l_real(root,N_1),X))))).
% 114.84/113.68  all X Y N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Y))-> (hAPP_nat_real(hAPP_r474017924t_real(power_power_real,Y),N_1)=X->hAPP_real_real(hAPP_n546711566l_real(root,N_1),X)=Y))).
% 114.84/113.68  all X N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X))->hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(hAPP_n546711566l_real(root,N_1),X)),N_1)=X)).
% 114.84/113.68  all X N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X))->hAPP_real_real(hAPP_n546711566l_real(root,N_1),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X),N_1))=X)).
% 114.84/113.68  all X N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))->hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(hAPP_n546711566l_real(root,N_1),X)),N_1)=X)).
% 114.84/113.68  all X N_6 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),N_6))-> (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_1),X)),hAPP_real_real(hAPP_n546711566l_real(root,N_6),X))))))).
% 114.84/113.68  all X N_6 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),N_6))-> (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_1),X)),hAPP_real_real(hAPP_n546711566l_real(root,N_6),X))))))).
% 114.84/113.68  sqrt=hAPP_n546711566l_real(root,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))).
% 114.84/113.68  all X N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X))->hAPP_real_real(hAPP_n546711566l_real(root,N_1),hAPP_real_real(inverse_inverse_real,X))=hAPP_real_real(inverse_inverse_real,hAPP_real_real(hAPP_n546711566l_real(root,N_1),X)))).
% 114.84/113.68  all X_1 N (-hBOOL(hAPP_nat_bool(even_odd_even_nat,N))-> (X_1!=zero_zero_real->hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(root,N),X_1),hAPP_real_real(inverse_inverse_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(hAPP_n546711566l_real(root,N),X_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),hAPP_nat_nat(suc,zero_zero_nat))))))))).
% 114.84/113.68  all Aa Ba (hBOOL(hAPP_P603027463t_bool(accp_P2006205492nt_int(negDivAlg_rel),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Aa),Ba)))-> (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,Aa),Ba)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Ba),zero_zero_int))->negDivAlg(Aa,Ba)=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,Aa),Ba)))& (-(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,Aa),Ba)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Ba),zero_zero_int)))->negDivAlg(Aa,Ba)=hAPP_P1975530577nt_int(adjust(Ba),negDivAlg(Aa,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)))),Ba))))).
% 114.84/113.68  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))))).
% 114.84/113.68  all F F_1 Aa Ba (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba))-> ((all X_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),X_2))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_2),Ba))->hBOOL(hAPP_real_bool(deriv_real(F,X_2),hAPP_real_real(F_1,X_2)))))-> (exists Z (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Z))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Z),Ba))&hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(F,Ba)),hAPP_real_real(F,Aa))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Ba),Aa)),hAPP_real_real(F_1,Z)))))).
% 114.84/113.68  all X Y (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Y))-> (exists R_1 A_1 (X=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,R_1),hAPP_real_real(cos,A_1))&Y=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,R_1),hAPP_real_real(sin,A_1))))).
% 114.84/113.68  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)))).
% 114.84/113.68  all X_1 Y_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(exp_real,X_1)),hAPP_real_real(exp_real,Y_2)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_2))).
% 114.84/113.68  all X_1 Y_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(exp_real,X_1)),hAPP_real_real(exp_real,Y_2)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_2))).
% 114.84/113.68  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))).
% 114.84/113.68  all X_1 Y_2 (hAPP_real_real(exp_real,X_1)=hAPP_real_real(exp_real,Y_2)<->X_1=Y_2).
% 114.84/113.68  all X (hAPP_real_real(abs_abs_real,hAPP_real_real(exp_real,X))=hAPP_real_real(exp_real,X)).
% 114.84/113.68  all Y X (hAPP_real_real(exp_real,Y)=X->hAPP_real_real(ln,X)=Y).
% 114.84/113.68  all U_1 X (hAPP_real_real(exp_real,U_1)=X->hAPP_real_real(ln,X)=U_1).
% 114.84/113.68  all X (hAPP_real_real(ln,hAPP_real_real(exp_real,X))=X).
% 114.84/113.68  all X (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(exp_real,X)),zero_zero_real))).
% 114.84/113.68  all X hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(exp_real,X))).
% 114.84/113.68  all X hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(exp_real,X))).
% 114.84/113.68  all X (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(exp_real,X)),zero_zero_real))).
% 114.84/113.68  all X_1 (hAPP_real_real(exp_real,X_1)=one_one_real<->X_1=zero_zero_real).
% 114.84/113.68  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),hAPP_real_real(exp_real,X_1)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_1))).
% 114.84/113.68  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(exp_real,X_1)),one_one_real))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),zero_zero_real))).
% 114.84/113.68  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)))).
% 114.84/113.68  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(exp_real,X_1)),one_one_real))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),zero_zero_real))).
% 114.84/113.68  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),hAPP_real_real(exp_real,X_1)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))).
% 114.84/113.68  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))).
% 114.84/113.68  all N_1 X (hAPP_real_real(exp_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N_1)),X))=hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(exp_real,X)),N_1)).
% 114.84/113.68  all X_1 (hAPP_real_real(exp_real,hAPP_real_real(ln,X_1))=X_1<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))).
% 114.84/113.68  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).
% 114.84/113.68  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)))).
% 114.84/113.68  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))))).
% 114.84/113.68  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))))))))).
% 114.84/113.68  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_1 B_3 (hBOOL(hAPP_P603027463t_bool(accp_P2006205492nt_int(negDivAlg_rel),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,A_1),B_3)))-> ((-(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_3)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_3),zero_zero_int)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(P_1,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_3))))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(P_1,A_1),B_3)))))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(P_1,A0),A1)))).
% 114.84/113.68  all Aa Ba (hBOOL(hAPP_P603027463t_bool(accp_P2006205492nt_int(posDivAlg_rel),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Aa),Ba)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),Ba))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Ba),zero_zero_int))->posDivAlg(Aa,Ba)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,zero_zero_int),Aa))& (-(hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),Ba))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Ba),zero_zero_int)))->posDivAlg(Aa,Ba)=hAPP_P1975530577nt_int(adjust(Ba),posDivAlg(Aa,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)))),Ba))))).
% 114.84/113.68  all Y (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),Y))-> (exists X_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_2))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_2),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Y),one_one_real)))&hAPP_real_real(exp_real,X_2)=Y))).
% 114.84/113.68  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_1 B_3 (hBOOL(hAPP_P603027463t_bool(accp_P2006205492nt_int(posDivAlg_rel),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,A_1),B_3)))-> ((-(hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_1),B_3))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_3),zero_zero_int)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(P_1,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_3))))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(P_1,A_1),B_3)))))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(P_1,A0),A1)))).
% 114.84/113.68  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))).
% 114.84/113.68  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))).
% 114.84/113.68  all Y (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Y))-> (exists X_2 (hAPP_real_real(exp_real,X_2)=Y))).
% 114.84/113.68  all X Y (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y),zero_zero_real))-> (exists R_1 A_1 (X=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,R_1),hAPP_real_real(cos,A_1))&Y=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,R_1),hAPP_real_real(sin,A_1))))).
% 114.84/113.68  all A_2 (hAPP_real_real(log(A_2),one_one_real)=zero_zero_real).
% 114.84/113.68  all A_2 X (hAPP_real_real(log(A_2),X)=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(ln,X)),hAPP_real_real(ln,A_2))).
% 114.84/113.68  all Y_2 X_1 Aa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),Aa))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Y_2))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(log(Aa),X_1)),hAPP_real_real(log(Aa),Y_2)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_2)))))).
% 114.84/113.68  all A_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_2))-> (A_2!=one_one_real->hAPP_real_real(log(A_2),A_2)=one_one_real)).
% 114.84/113.68  all X (hAPP_real_real(ln,X)=hAPP_real_real(log(hAPP_real_real(exp_real,one_one_real)),X)).
% 114.84/113.68  all Y_2 X_1 Aa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),Aa))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Y_2))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(log(Aa),X_1)),hAPP_real_real(log(Aa),Y_2)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_2)))))).
% 114.84/113.68  all B_1 N_1 X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))->hAPP_real_real(log(B_1),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X),N_1))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N_1)),hAPP_real_real(log(B_1),X))).
% 114.84/113.68  all Y X A_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_2))-> (A_2!=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_2),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_2),X)),hAPP_real_real(log(A_2),Y)))))).
% 114.84/113.68  all Y X A_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_2))-> (A_2!=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_2),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_2),X)),hAPP_real_real(log(A_2),Y)))))).
% 114.84/113.68  all X A_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_2))-> (A_2!=one_one_real-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))->hAPP_real_real(log(A_2),hAPP_real_real(inverse_inverse_real,X))=hAPP_real_real(uminus_uminus_real,hAPP_real_real(log(A_2),X))))).
% 114.84/113.68  all X B_1 A_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_2))-> (A_2!=one_one_real-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),B_1))-> (B_1!=one_one_real-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))->hAPP_real_real(log(A_2),X)=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(ln,B_1)),hAPP_real_real(ln,A_2))),hAPP_real_real(log(B_1),X))))))).
% 114.84/113.68  all 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).
% 114.84/113.68  all X_1 Y_2 F ((all X_2 hBOOL(hAPP_real_bool(deriv_real(F,X_2),zero_zero_real)))->hAPP_real_real(F,X_1)=hAPP_real_real(F,Y_2)).
% 114.84/113.68  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)))).
% 114.84/113.68  all A_2 P_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_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_2),P_3))->hAPP_int_int(inv(P_3),hAPP_int_int(inv(P_3),A_2))=A_2)))).
% 114.84/113.68  all X_1 (hBOOL(hAPP_int_bool(even_odd_even_int,hAPP_int_int(uminus_uminus_int,X_1)))<->hBOOL(hAPP_int_bool(even_odd_even_int,X_1))).
% 114.84/113.68  hAPP_C498520661umeral(hAPP_C1594335432umeral(minus_1690775515umeral,zero_z126310315umeral),one_on1645066479umeral)=zero_z126310315umeral.
% 114.84/113.68  all X_1 Y_2 (hBOOL(hAPP_int_bool(even_odd_even_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_1),Y_2)))<->hBOOL(hAPP_int_bool(even_odd_even_int,X_1))&hBOOL(hAPP_int_bool(even_odd_even_int,Y_2))| -hBOOL(hAPP_int_bool(even_odd_even_int,X_1))& -hBOOL(hAPP_int_bool(even_odd_even_int,Y_2))).
% 114.84/113.68  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))))).
% 114.84/113.68  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))))).
% 114.84/113.68  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))))).
% 114.84/113.68  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))))).
% 114.84/113.68  all X_1 Y_2 (hBOOL(hAPP_int_bool(even_odd_even_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_1),Y_2)))<->hBOOL(hAPP_int_bool(even_odd_even_int,X_1))&hBOOL(hAPP_int_bool(even_odd_even_int,Y_2))| -hBOOL(hAPP_int_bool(even_odd_even_int,X_1))& -hBOOL(hAPP_int_bool(even_odd_even_int,Y_2))).
% 114.84/113.68  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))))).
% 114.84/113.68  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)))).
% 114.84/113.68  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)))).
% 114.84/113.68  all X_1 Y_2 (hBOOL(hAPP_int_bool(even_odd_even_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_1),Y_2)))<->hBOOL(hAPP_int_bool(even_odd_even_int,X_1))|hBOOL(hAPP_int_bool(even_odd_even_int,Y_2))).
% 114.84/113.68  -hBOOL(hAPP_int_bool(even_odd_even_int,one_one_int)).
% 114.84/113.68  hBOOL(hAPP_int_bool(even_odd_even_int,zero_zero_int)).
% 114.84/113.68  all N_1 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_1)))).
% 114.84/113.69  all X_1 N (hBOOL(hAPP_int_bool(even_odd_even_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_1),N)))<->hBOOL(hAPP_int_bool(even_odd_even_int,X_1))&N!=zero_zero_nat).
% 114.84/113.69  zero_z126310315umeral=hAPP_i769753017umeral(number1443263063umeral,pls).
% 114.84/113.69  hBOOL(hAPP_int_bool(zprime,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))).
% 114.84/113.69  all A_2 P_3 (hBOOL(hAPP_int_bool(zprime,P_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_2),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_2)),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,P_3),one_one_int)))))).
% 114.84/113.69  all A_2 P_3 (hBOOL(hAPP_int_bool(zprime,P_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_2),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_2)))))).
% 114.84/113.69  all A_2 P_3 (hBOOL(hAPP_int_bool(zprime,P_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_2),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,P_3),one_one_int)))->hAPP_int_int(inv(P_3),A_2)!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,P_3),one_one_int)))).
% 114.84/113.69  all A_2 P_3 (hBOOL(hAPP_int_bool(zprime,P_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_2),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,P_3),one_one_int)))->hAPP_int_int(inv(P_3),A_2)!=one_one_int))).
% 114.84/113.69  all A_2 P_3 (hBOOL(hAPP_int_bool(zprime,P_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_2),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,P_3),one_one_int)))->A_2!=hAPP_int_int(inv(P_3),A_2)))).
% 114.84/113.69  all X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))-> (hBOOL(hAPP_int_bool(even_odd_even_int,X_1))<->hBOOL(hAPP_nat_bool(even_odd_even_nat,hAPP_int_nat(nat,X_1))))).
% 114.84/113.69  all 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))))).
% 114.84/113.69  all A_2 P_3 (hBOOL(hAPP_int_bool(zprime,P_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_2),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,P_3),one_one_int)))->hAPP_int_int(inv(P_3),A_2)!=zero_zero_int))).
% 114.84/113.69  all X_1 (hBOOL(hAPP_int_bool(even_odd_even_int,X_1))<-> (exists Y_1 (X_1=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),Y_1)))).
% 114.84/113.69  all Pa (hBOOL(hAPP_int_bool(zprime,Pa))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Pa),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)))),Pa)))).
% 114.84/113.69  all X_1 (hBOOL(hAPP_int_bool(even_odd_even_int,X_1))<->hAPP_int_int(div_mod_int(X_1),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=zero_zero_int).
% 114.84/113.69  all 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).
% 114.84/113.69  one_on1645066479umeral=hAPP_i769753017umeral(number1443263063umeral,hAPP_int_int(bit1,pls)).
% 114.84/113.69  all X_1 (-hBOOL(hAPP_int_bool(even_odd_even_int,X_1))<-> (exists Y_1 (X_1=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),Y_1)),one_one_int)))).
% 114.84/113.69  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)).
% 114.84/113.69  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))))).
% 114.84/113.69  all N_1 M_1 (code_d418564891umeral(N_1,M_1)=hAPP_C2132160860umeral(hAPP_C1614127039umeral(produc2136830103umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,N_1),M_1)),hAPP_C498520661umeral(div_mo1740067990umeral(N_1),M_1))).
% 114.84/113.69  all Ba Aa Pa (hBOOL(hAPP_int_bool(zprime,Pa))-> (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))))),Pa))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Pa),one_one_int)))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Ba),hAPP_i1948725293t_bool(wset(Aa),Pa)))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(inv(Pa),Ba)),hAPP_i1948725293t_bool(wset(Aa),Pa))))))).
% 114.84/113.69  all Ba Aa Pa (hBOOL(hAPP_int_bool(zprime,Pa))-> (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))))),Pa))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Pa),one_one_int)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),Ba))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Ba),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Pa),one_one_int)))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(inv(Pa),Ba)),hAPP_i1948725293t_bool(wset(Aa),Pa)))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Ba),hAPP_i1948725293t_bool(wset(Aa),Pa))))))))).
% 114.84/113.69  all A_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(A_2),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_2),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))))).
% 114.84/113.69  all M_1 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(M_1),zero_zero_int),M_1)).
% 114.84/113.69  all Aa Ba (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Aa),Ba),zero_zero_int))<->Aa=Ba).
% 114.84/113.69  all Aa Ba M (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Aa),Ba),M))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(div_mod_int(Aa),M)),hAPP_int_int(div_mod_int(Ba),M)),M))).
% 114.84/113.69  all A_2 B_1 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_2),B_1),one_one_int)).
% 114.84/113.69  all C_1 D_3 A_2 B_1 M_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_2),B_1),M_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(C_1),D_3),M_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_2),C_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_1),D_3)),M_1)))).
% 114.84/113.69  all K_2 A_2 B_1 M_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_2),B_1),M_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_2),A_2)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_2),B_1)),M_1))).
% 114.84/113.69  all K_2 A_2 B_1 M_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_2),B_1),M_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_2),K_2)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_1),K_2)),M_1))).
% 114.84/113.69  all C D Aa Ba M (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Aa),Ba),M))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(C),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,D),Aa)),M))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(C),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,D),Ba)),M)))).
% 114.84/113.69  all C D Aa Ba M (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Aa),Ba),M))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(C),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Aa),D)),M))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(C),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Ba),D)),M)))).
% 114.84/113.69  all A_2 M_1 B_1 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_2),M_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_1),M_1)),M_1)).
% 114.84/113.69  all C_1 D_3 A_2 B_1 M_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_2),B_1),M_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(C_1),D_3),M_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_2),C_1)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_1),D_3)),M_1)))).
% 114.84/113.69  all C_1 A_2 B_1 M_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_2),B_1),M_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_2),C_1)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_1),C_1)),M_1))).
% 114.84/113.69  all C_1 D_3 A_2 B_1 M_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_2),B_1),M_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(C_1),D_3),M_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_2),C_1)),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,B_1),D_3)),M_1)))).
% 114.84/113.69  all Aa Ba M (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Aa),Ba),hAPP_int_int(uminus_uminus_int,M)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Aa),Ba),M))).
% 114.84/113.69  all Z_1 X Y M_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(X),Y),M_1))->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_1))).
% 114.84/113.69  all Aa Ba M (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Aa),Ba),M))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Ba),Aa),M))).
% 114.84/113.69  all K_2 M_1 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(K_2),K_2),M_1)).
% 114.84/113.69  all D_3 C_1 A_2 B_1 M_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_2),B_1),M_1))-> (B_1=C_1-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(C_1),D_3),M_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_2),D_3),M_1))))).
% 114.84/113.69  all C_1 A_2 B_1 M_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_2),B_1),M_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(B_1),C_1),M_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_2),C_1),M_1)))).
% 114.84/113.69  all B_1 M_1 A_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_2),M_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,B_1),A_2))-> -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_2),B_1),M_1)))))).
% 114.84/113.69  all M_1 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_1))-> -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(X),zero_zero_int),M_1)))).
% 114.84/113.69  all M_1 Y 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_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(X),Y),M_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X),M_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y),M_1))->X=Y)))))).
% 114.84/113.69  all Aa Ba M (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Aa),Ba),M))<-> (exists K (Ba=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Aa),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,M),K))))).
% 114.84/113.69  all M_1 X (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X),M_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(X),zero_zero_int),M_1))->X=zero_zero_int))).
% 114.84/113.69  all M_1 A_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_2),M_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_2),zero_zero_int),M_1))->A_2=zero_zero_int))).
% 114.84/113.69  all B_1 M_1 A_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_2),M_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_int,B_1),M_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_2),B_1),M_1))->A_2=B_1))))).
% 114.84/113.69  all Aa Ba M (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),M))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Aa),Ba),M))<->hAPP_int_int(div_mod_int(Aa),M)=hAPP_int_int(div_mod_int(Ba),M))).
% 114.84/113.69  all Aa Pa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Aa),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Pa),one_one_int))),one_one_int),Pa))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Aa),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Pa),one_one_int)),Pa))).
% 114.84/113.69  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))).
% 114.84/113.69  all Pa Aa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),Aa))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Aa),hAPP_i1948725293t_bool(wset(Aa),Pa)))).
% 114.84/113.69  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))))).
% 114.84/113.69  all B_1 A_2 P_3 (hBOOL(hAPP_int_bool(zprime,P_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_2))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_2),zero_zero_int),P_3))& -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(B_1),zero_zero_int),P_3))-> -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_2),B_1)),zero_zero_int),P_3))))).
% 114.84/113.69  all B_1 A_2 P_3 (hBOOL(hAPP_int_bool(zprime,P_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_2),B_1)),zero_zero_int),P_3))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_2),zero_zero_int),P_3))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(B_1),zero_zero_int),P_3))))).
% 114.84/113.69  all Ba Pa Aa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),Aa))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Ba),hAPP_i1948725293t_bool(wset(hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Aa),one_one_int)),Pa)))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Ba),hAPP_i1948725293t_bool(wset(Aa),Pa))))).
% 114.84/113.69  all A_2 P_3 (hBOOL(hAPP_int_bool(zprime,P_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_2),A_2)),one_one_int),P_3))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_2),one_one_int),P_3))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_2),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,P_3),one_one_int)),P_3))))).
% 114.84/113.69  all A_2 P_3 (hBOOL(hAPP_int_bool(zprime,P_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_2),P_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_2),A_2)),one_one_int),P_3))->A_2=one_one_int|A_2=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,P_3),one_one_int))))).
% 114.84/113.69  all Ba Aa Pa (hBOOL(hAPP_int_bool(zprime,Pa))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Pa),one_one_int)))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Ba),hAPP_i1948725293t_bool(wset(Aa),Pa)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),Ba))))).
% 114.84/113.69  all Ba Aa Pa (hBOOL(hAPP_int_bool(zprime,Pa))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Pa),one_one_int)))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Ba),hAPP_i1948725293t_bool(wset(Aa),Pa)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Ba),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Pa),one_one_int)))))).
% 114.84/113.69  all A_2 P_3 (hBOOL(hAPP_int_bool(zprime,P_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_2),P_3))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_2),hAPP_int_int(inv(P_3),A_2))),one_one_int),P_3))))).
% 114.84/113.69  all Ba Pa Aa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),Aa))-> (-hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Ba),hAPP_i1948725293t_bool(wset(hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Aa),one_one_int)),Pa)))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Ba),hAPP_i1948725293t_bool(wset(Aa),Pa)))->Ba=Aa|Ba=hAPP_int_int(inv(Pa),Aa)))).
% 114.84/113.69  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))).
% 114.84/113.69  all M_1 (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_1))-> -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(one_one_int),hAPP_int_int(number_number_of_int,min)),M_1))).
% 114.84/113.69  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)))).
% 114.84/113.69  all J_2 K_2 M_1 (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_1))-> (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_1))->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))).
% 114.84/113.69  all Ba Aa Pa (hBOOL(hAPP_int_bool(zprime,Pa))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Pa),one_one_int)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),Ba))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Ba),Aa))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Ba),hAPP_i1948725293t_bool(wset(Aa),Pa))))))).
% 114.84/113.69  all Pa (hBOOL(hAPP_int_bool(zprime,Pa))->hAPP_i1948725293t_bool(d22set,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Pa),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,Pa),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),Pa)).
% 114.84/113.69  all A_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(hAPP_int_int(legendre(A_2),P_3)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_2),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)))).
% 114.84/113.69  all A_2 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_2),zero_zero_int),P_3))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(quadRes,P_3),A_2))->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_2),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)))))).
% 114.84/113.69  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)))))).
% 114.84/113.69  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)))))).
% 114.84/113.69  all A_2 P_3 ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_2),zero_zero_int),P_3))->hAPP_int_int(legendre(A_2),P_3)=zero_zero_int)& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_2),zero_zero_int),P_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(quadRes,P_3),A_2))->hAPP_int_int(legendre(A_2),P_3)=one_one_int)& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(quadRes,P_3),A_2))->hAPP_int_int(legendre(A_2),P_3)=hAPP_int_int(number_number_of_int,min)))).
% 114.84/113.69  all M X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(quadRes,M),X_1))<-> (exists 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))))),X_1),M)))).
% 114.84/113.69  all A_2 M_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),M_1))-> (exists X_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_2))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_2),M_1))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_2),X_2),M_1))& (all 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_1))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_2),Y_1),M_1))->Y_1=X_2))))).
% 114.84/113.69  all N_1 I ((I=zero_z126310315umeral->hAPP_nat_nat(code_nat_of_aux(I),N_1)=N_1)& (I!=zero_z126310315umeral->hAPP_nat_nat(code_nat_of_aux(I),N_1)=hAPP_nat_nat(code_nat_of_aux(hAPP_C498520661umeral(hAPP_C1594335432umeral(minus_1690775515umeral,I),one_on1645066479umeral)),hAPP_nat_nat(suc,N_1)))).
% 114.84/113.69  all X M_1 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(X),hAPP_int_int(div_mod_int(X),M_1)),M_1)).
% 114.84/113.69  all X M_1 Y (hAPP_int_int(div_mod_int(X),M_1)=hAPP_int_int(div_mod_int(Y),M_1)->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(X),Y),M_1))).
% 114.84/113.69  all J_2 A_2 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_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(quadRes,P_3),A_2))-> -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(J_2),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_2),hAPP_int_int(multInv(P_3),J_2))),P_3))))))).
% 114.84/113.69  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))))).
% 114.84/113.69  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))))).
% 114.84/113.69  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))).
% 114.84/113.69  all J_2 A_2 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_2),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_2),hAPP_int_int(multInv(P_3),K_2))),K_2)),P_3))).
% 114.84/113.69  all J_2 K_2 A_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_2),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_2)),P_3))).
% 114.84/113.69  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)))).
% 114.84/113.69  all A_2 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_2),hAPP_int_int(multInv(P_3),J_2))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_2),hAPP_int_int(multInv(P_3),K_2))),P_3)))).
% 114.84/113.69  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))))))).
% 114.84/113.69  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))))))).
% 114.84/113.69  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))))).
% 114.84/113.69  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))))).
% 114.84/113.69  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))))).
% 114.84/113.69  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))))).
% 114.84/113.69  all J_2 K_2 A_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(A_2),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_2),hAPP_int_int(multInv(P_3),J_2))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_2),hAPP_int_int(multInv(P_3),K_2))),P_3))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(J_2),K_2),P_3)))))))).
% 114.84/113.69  all A_2 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_2),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_2),hAPP_int_int(multInv(P_3),J_2))),P_3))))))).
% 114.84/113.69  all J_2 A_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(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_2),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_2),P_3)))))).
% 114.84/113.69  all K_2 A_2 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_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_2),hAPP_int_int(multInv(P_3),J_2))),P_3)))))).
% 114.84/113.69  all Pa (hAPP_i1948725293t_bool(sr,Pa)=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),Pa)))).
% 114.84/113.69  all X Y M_1 (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_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(standardRes(M_1),X)),hAPP_int_int(standardRes(M_1),Y))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X),Y)),M_1))).
% 114.84/113.69  all A_2 B_1 (hAPP_complex_complex(invers1449016382omplex,hAPP_real_complex(hAPP_r265291036omplex(complex,A_2),B_1))=hAPP_real_complex(hAPP_r265291036omplex(complex,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,A_2),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_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,B_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(uminus_uminus_real,B_1)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_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,B_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))).
% 114.84/113.69  all N_1 M_1 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(uminus_uminus_int,hAPP_nat_int(semiri1621563631at_int,N_1))),hAPP_nat_int(semiri1621563631at_int,M_1))).
% 114.84/113.69  all N_1 M_1 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(uminus_uminus_int,hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(suc,N_1)))),hAPP_nat_int(semiri1621563631at_int,M_1))).
% 114.84/113.69  zero_zero_complex=hAPP_real_complex(hAPP_r265291036omplex(complex,zero_zero_real),zero_zero_real).
% 114.84/113.69  all Aa Ba (hAPP_real_complex(hAPP_r265291036omplex(complex,Aa),Ba)=zero_zero_complex<->Aa=zero_zero_real&Ba=zero_zero_real).
% 114.84/113.69  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))).
% 114.84/113.69  all M_1 (hAPP_int_int(abs_abs_int,hAPP_nat_int(semiri1621563631at_int,M_1))=hAPP_nat_int(semiri1621563631at_int,M_1)).
% 114.84/113.69  real_nat=semiri132038758t_real.
% 114.84/113.69  real_nat=semiri132038758t_real.
% 114.84/113.69  all N_1 (hAPP_int_nat(nat,hAPP_nat_int(semiri1621563631at_int,N_1))=N_1).
% 114.84/113.69  all A_2 B_1 C_1 D_3 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_real_complex(hAPP_r265291036omplex(complex,A_2),B_1)),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_2),C_1)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B_1),D_3))).
% 114.84/113.69  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).
% 114.84/113.69  all A_2 B_1 (hAPP_complex_complex(uminus473333897omplex,hAPP_real_complex(hAPP_r265291036omplex(complex,A_2),B_1))=hAPP_real_complex(hAPP_r265291036omplex(complex,hAPP_real_real(uminus_uminus_real,A_2)),hAPP_real_real(uminus_uminus_real,B_1))).
% 114.84/113.69  all N_1 (-hBOOL(hAPP_int_bool(nat_neg,hAPP_nat_int(semiri1621563631at_int,N_1)))).
% 114.84/113.69  all A_2 B_1 C_1 D_3 (hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,hAPP_real_complex(hAPP_r265291036omplex(complex,A_2),B_1)),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_2),C_1)),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,B_1),D_3))).
% 114.84/113.69  all X_1 Pa (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),hAPP_i1948725293t_bool(sr,Pa)))->hAPP_int_int(standardRes(Pa),X_1)=X_1).
% 114.84/113.69  all X M_1 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(X),hAPP_int_int(standardRes(M_1),X)),M_1)).
% 114.84/113.69  all M_1 X (hAPP_int_int(standardRes(M_1),X)=hAPP_int_int(div_mod_int(X),M_1)).
% 114.84/113.69  all N (hAPP_nat_int(semiri1621563631at_int,N)=zero_zero_int<->N=zero_zero_nat).
% 114.84/113.69  hAPP_nat_int(semiri1621563631at_int,zero_zero_nat)=zero_zero_int.
% 114.84/113.69  zero_zero_int=hAPP_nat_int(semiri1621563631at_int,zero_zero_nat).
% 114.84/113.69  all K_2 (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,K_2)),zero_zero_int))).
% 114.84/113.69  all N_1 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_nat_int(semiri1621563631at_int,N_1))).
% 114.84/113.69  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))).
% 114.84/113.69  all P_1 ((exists X_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_2))&hBOOL(hAPP_int_bool(P_1,X_2))))<-> (exists X_2 hBOOL(hAPP_int_bool(P_1,hAPP_nat_int(semiri1621563631at_int,X_2))))).
% 114.84/113.69  all P_1 ((all X_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_2))->hBOOL(hAPP_int_bool(P_1,X_2))))<-> (all X_2 hBOOL(hAPP_int_bool(P_1,hAPP_nat_int(semiri1621563631at_int,X_2))))).
% 114.84/113.69  all M N (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,M)),hAPP_nat_int(semiri1621563631at_int,N)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))).
% 114.84/113.69  all X_1 Y_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,X_1)),hAPP_nat_int(semiri1621563631at_int,Y_2)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_2))).
% 114.84/113.69  all M N (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(semiri1621563631at_int,M)),hAPP_nat_int(semiri1621563631at_int,N)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))).
% 114.84/113.69  all X_1 Y_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(semiri1621563631at_int,X_1)),hAPP_nat_int(semiri1621563631at_int,Y_2)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_2))).
% 114.84/113.69  all M_1 N_1 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_nat_int(semiri1621563631at_int,M_1)),hAPP_nat_int(semiri1621563631at_int,N_1))=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),N_1))).
% 114.84/113.69  all M_1 N_1 (hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),N_1))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_nat_int(semiri1621563631at_int,M_1)),hAPP_nat_int(semiri1621563631at_int,N_1))).
% 114.84/113.69  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))).
% 114.84/113.69  all W_1 Z_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,W_1),Z_2))<-> (exists N_2 (Z_2=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,W_1),hAPP_nat_int(semiri1621563631at_int,N_2))))).
% 114.84/113.69  all M_1 N_1 Z_1 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(semiri1621563631at_int,M_1)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(semiri1621563631at_int,N_1)),Z_1))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N_1))),Z_1)).
% 114.84/113.69  all M_1 N_1 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(semiri1621563631at_int,M_1)),hAPP_nat_int(semiri1621563631at_int,N_1))=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N_1))).
% 114.84/113.69  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))).
% 114.84/113.69  hAPP_nat_int(semiri1621563631at_int,one_one_nat)=one_one_int.
% 114.84/113.69  one_one_int=hAPP_nat_int(semiri1621563631at_int,one_one_nat).
% 114.84/113.69  all N M (hAPP_int_int(uminus_uminus_int,hAPP_nat_int(semiri1621563631at_int,N))=hAPP_nat_int(semiri1621563631at_int,M)<->N=zero_zero_nat&M=zero_zero_nat).
% 114.84/113.69  all N_1 M_1 (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,N_1)),hAPP_int_int(uminus_uminus_int,hAPP_nat_int(semiri1621563631at_int,M_1))))).
% 114.84/113.69  all Aa Ba W_1 (hAPP_real_complex(hAPP_r265291036omplex(complex,Aa),Ba)=hAPP_int_complex(number528085621omplex,W_1)<->Aa=hAPP_int_real(number267125858f_real,W_1)&Ba=zero_zero_real).
% 114.84/113.69  all Aa Ba (hAPP_real_complex(hAPP_r265291036omplex(complex,Aa),Ba)=one_one_complex<->Aa=one_one_real&Ba=zero_zero_real).
% 114.84/113.69  one_one_complex=hAPP_real_complex(hAPP_r265291036omplex(complex,one_one_real),zero_zero_real).
% 114.84/113.69  all N_1 (hAPP_int_real(real_int,hAPP_nat_int(semiri1621563631at_int,N_1))=hAPP_nat_real(real_nat,N_1)).
% 114.84/113.69  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))).
% 114.84/113.69  all A_2 B_1 (hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,A_2),B_1))=hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_nat_int(semiri1621563631at_int,A_2)),hAPP_nat_int(semiri1621563631at_int,B_1))).
% 114.84/113.69  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))).
% 114.84/113.69  all A_2 B_1 (hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(div_mod_nat(A_2),B_1))=hAPP_int_int(div_mod_int(hAPP_nat_int(semiri1621563631at_int,A_2)),hAPP_nat_int(semiri1621563631at_int,B_1))).
% 114.84/113.69  all M_1 N_1 (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_nat_int(semiri1621563631at_int,M_1)),N_1)=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,M_1),N_1))).
% 114.84/113.69  all M_1 N_1 (hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,M_1),N_1))=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_nat_int(semiri1621563631at_int,M_1)),N_1)).
% 114.84/113.69  all X N_1 (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_nat_int(semiri1621563631at_int,X)),N_1)=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X),N_1))).
% 114.84/113.69  all Z_1 (-hBOOL(hAPP_int_bool(nat_neg,Z_1))->hAPP_nat_int(semiri1621563631at_int,hAPP_int_nat(nat,Z_1))=Z_1).
% 114.84/113.69  all N_1 (archim1246769320r_real(hAPP_nat_real(real_nat,N_1))=hAPP_nat_int(semiri1621563631at_int,N_1)).
% 114.84/113.69  all X_1 (hBOOL(hAPP_int_bool(even_odd_even_int,hAPP_nat_int(semiri1621563631at_int,X_1)))<->hBOOL(hAPP_nat_bool(even_odd_even_nat,X_1))).
% 114.84/113.69  all X_1 (hBOOL(hAPP_nat_bool(even_odd_even_nat,X_1))<->hBOOL(hAPP_int_bool(even_odd_even_int,hAPP_nat_int(semiri1621563631at_int,X_1)))).
% 114.84/113.69  all N_1 (archim856651990g_real(hAPP_nat_real(real_nat,N_1))=hAPP_nat_int(semiri1621563631at_int,N_1)).
% 114.84/113.69  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))).
% 114.84/113.69  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))).
% 114.84/113.69  all X_1 Pa (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(X_1),zero_zero_int),Pa))<->hAPP_int_int(standardRes(Pa),X_1)!=zero_zero_int).
% 114.84/113.69  all M X_1 (hAPP_int_int(standardRes(M),X_1)=zero_zero_int<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(X_1),zero_zero_int),M))).
% 114.84/113.69  all N (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(semiri1621563631at_int,N)),zero_zero_int))<->N=zero_zero_nat).
% 114.84/113.69  hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(suc,zero_zero_nat))=one_one_int.
% 114.84/113.69  all W_1 Z_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),Z_2))<-> (exists N_2 (Z_2=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,W_1),hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(suc,N_2)))))).
% 114.84/113.69  all M_1 (hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(suc,M_1))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,M_1))).
% 114.84/113.69  all 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).
% 114.84/113.69  all M Z_2 (hAPP_nat_int(semiri1621563631at_int,M)=Z_2<->M=hAPP_int_nat(nat,Z_2)&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Z_2))).
% 114.84/113.69  all 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)).
% 114.84/113.69  all M Z_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),hAPP_int_nat(nat,Z_2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,M)),Z_2))).
% 114.84/113.69  all N M (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(semiri1621563631at_int,N)),hAPP_int_int(uminus_uminus_int,hAPP_nat_int(semiri1621563631at_int,M))))<->N=zero_zero_nat&M=zero_zero_nat).
% 114.84/113.69  all N_1 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(uminus_uminus_int,hAPP_nat_int(semiri1621563631at_int,N_1))),zero_zero_int)).
% 114.84/113.69  all N_1 (hAPP_int_nat(nat,hAPP_int_int(uminus_uminus_int,hAPP_nat_int(semiri1621563631at_int,N_1)))=zero_zero_nat).
% 114.84/113.69  all N_1 M_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),M_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))=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N_1))).
% 114.84/113.69  all A_2 B_1 C_1 D_3 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_real_complex(hAPP_r265291036omplex(complex,A_2),B_1)),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_2),C_1)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_1),D_3))),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_2),D_3)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_1),C_1)))).
% 114.84/113.69  all N_1 hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(uminus_uminus_int,hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(suc,N_1))))).
% 114.84/113.69  all N (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(semiri1621563631at_int,N)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))).
% 114.84/113.69  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))))).
% 114.84/113.69  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)))).
% 114.84/113.69  all P_1 I_1 (hBOOL(hAPP_nat_bool(P_1,hAPP_int_nat(nat,I_1)))<-> (all N_2 (I_1=hAPP_nat_int(semiri1621563631at_int,N_2)->hBOOL(hAPP_nat_bool(P_1,N_2))))& (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,I_1),zero_zero_int))->hBOOL(hAPP_nat_bool(P_1,zero_zero_nat)))).
% 114.84/113.69  all W_1 M (hAPP_int_nat(nat,W_1)=M<-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),W_1))->W_1=hAPP_nat_int(semiri1621563631at_int,M))& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),W_1))->M=zero_zero_nat)).
% 114.84/113.69  all M W_1 (M=hAPP_int_nat(nat,W_1)<-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),W_1))->W_1=hAPP_nat_int(semiri1621563631at_int,M))& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),W_1))->M=zero_zero_nat)).
% 114.84/113.69  all N_1 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(uminus_uminus_int,hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(suc,N_1)))),zero_zero_int)).
% 114.84/113.69  all N_1 (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(uminus_uminus_int,hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(suc,N_1)))))).
% 114.84/113.69  all M V (hAPP_nat_int(semiri1621563631at_int,M)=hAPP_int_int(number_number_of_int,V)<->M=hAPP_int_nat(nat,hAPP_int_int(number_number_of_int,V))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(number_number_of_int,V)))).
% 114.84/113.69  all V_2 ((hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_2)))->hAPP_nat_int(semiri1621563631at_int,hAPP_int_nat(number_number_of_nat,V_2))=zero_zero_int)& (-hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_2)))->hAPP_nat_int(semiri1621563631at_int,hAPP_int_nat(number_number_of_nat,V_2))=hAPP_int_int(number_number_of_int,V_2))).
% 114.84/113.69  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)))).
% 114.84/113.69  all X1_1 X2 M (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),M))-> (hAPP_int_int(standardRes(M),X1_1)=hAPP_int_int(standardRes(M),X2)<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(X1_1),X2),M)))).
% 114.84/113.69  all N_1 (archim1246769320r_real(hAPP_real_real(uminus_uminus_real,hAPP_nat_real(real_nat,N_1)))=hAPP_int_int(uminus_uminus_int,hAPP_nat_int(semiri1621563631at_int,N_1))).
% 114.84/113.69  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)))).
% 114.84/113.69  all M W_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),W_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_int_nat(nat,W_1)),M))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),hAPP_nat_int(semiri1621563631at_int,M))))).
% 114.84/113.69  all P_1 X_1 Y_2 (hBOOL(hAPP_int_bool(P_1,hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,X_1),Y_2))))<-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_2),X_1))->hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_nat_int(semiri1621563631at_int,X_1)),hAPP_nat_int(semiri1621563631at_int,Y_2)))))& (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_2))->hBOOL(hAPP_int_bool(P_1,zero_zero_int)))).
% 114.84/113.69  all X_1 Aa Pa (hBOOL(hAPP_int_bool(zprime,Pa))-> (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)))),Pa))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Aa),zero_zero_int),Pa))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),hAPP_i1948725293t_bool(sRStar,Pa)))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(standardRes(Pa),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Aa),hAPP_int_int(multInv(Pa),X_1)))),hAPP_i1948725293t_bool(sRStar,Pa))))))).
% 114.84/113.69  all X_1 Y_2 (hAPP_nat_int(semiri1621563631at_int,X_1)=hAPP_nat_int(semiri1621563631at_int,Y_2)<->X_1=Y_2).
% 114.84/113.69  all X_1 Y_2 P_1 ((hBOOL(P_1)->hAPP_nat_int(semiri1621563631at_int,X_1)=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(hAPP_b992065680at_nat(if_nat,P_1),X_1),Y_2)))& (-hBOOL(P_1)->hAPP_nat_int(semiri1621563631at_int,Y_2)=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(hAPP_b992065680at_nat(if_nat,P_1),X_1),Y_2)))).
% 114.84/113.69  all M N (hAPP_nat_int(semiri1621563631at_int,M)=hAPP_nat_int(semiri1621563631at_int,N)<->M=N).
% 114.84/113.69  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))).
% 114.84/113.69  all R_3 (hAPP_real_real(norm_norm_real,R_3)=hAPP_real_real(abs_abs_real,R_3)).
% 114.84/113.69  all X_1 Pa (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),hAPP_i1948725293t_bool(sRStar,Pa)))->hAPP_int_int(standardRes(Pa),X_1)=X_1).
% 114.84/113.69  all B_1 A_2 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_1),A_2))),hAPP_complex_real(norm_norm_complex,B_1))),hAPP_complex_real(norm_norm_complex,A_2))).
% 114.84/113.69  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))).
% 114.84/113.69  all X_1 Pa (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),hAPP_i1948725293t_bool(sRStar,Pa)))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),hAPP_i1948725293t_bool(sr,Pa)))).
% 114.84/113.69  all Pa (hAPP_i1948725293t_bool(sRStar,Pa)=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),Pa)))).
% 114.84/113.69  all X_1 Pa (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),hAPP_i1948725293t_bool(sRStar,Pa)))-> -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(X_1),zero_zero_int),Pa))).
% 114.84/113.69  all A_2 (hAPP_complex_real(norm_norm_complex,hAPP_real_complex(hAPP_r265291036omplex(complex,hAPP_real_real(cos,A_2)),hAPP_real_real(sin,A_2)))=one_one_real).
% 114.84/113.69  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))))))).
% 114.84/113.69  all X_1 Pa (hBOOL(hAPP_int_bool(zprime,Pa))-> (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)))),Pa))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),hAPP_i1948725293t_bool(sRStar,Pa)))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(standardRes(Pa),X_1)),hAPP_i1948725293t_bool(sRStar,Pa)))))).
% 114.84/113.69  all X_1 Pa (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)))),Pa))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(standardRes(Pa),X_1)),hAPP_i1948725293t_bool(sRStar,Pa)))<-> -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(X_1),zero_zero_int),Pa)))).
% 114.84/113.69  all Y_2 X_1 Pa (hBOOL(hAPP_int_bool(zprime,Pa))-> (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)))),Pa))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),hAPP_i1948725293t_bool(sRStar,Pa)))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Y_2),hAPP_i1948725293t_bool(sRStar,Pa)))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(standardRes(Pa),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_1),Y_2))),hAPP_i1948725293t_bool(sRStar,Pa))))))).
% 114.84/113.69  all X_1 Pa (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)))),Pa))-> (hBOOL(hAPP_int_bool(zprime,Pa))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),hAPP_i1948725293t_bool(sRStar,Pa)))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(standardRes(Pa),hAPP_int_int(multInv(Pa),X_1))),hAPP_i1948725293t_bool(sRStar,Pa)))))).
% 114.84/113.69  all X (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X),zero_zero_int))-> (exists N_2 (X=hAPP_int_int(uminus_uminus_int,hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(suc,N_2)))))).
% 114.84/113.69  all K_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),K_2))-> (exists N_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_2))&K_2=hAPP_nat_int(semiri1621563631at_int,N_2)))).
% 114.84/113.69  all Real1 Real2 (complex_size(hAPP_real_complex(hAPP_r265291036omplex(complex,Real1),Real2))=zero_zero_nat).
% 114.84/113.69  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))))))).
% 114.84/113.69  all X (bezw(X,zero_zero_nat)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,one_one_int),zero_zero_int)).
% 114.84/113.69  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)))))).
% 114.84/113.69  all K_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),K_2))-> (exists N_2 (K_2=hAPP_nat_int(semiri1621563631at_int,N_2)))).
% 114.84/113.69  all Z_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Z_1))-> -(all M_2 (Z_1!=hAPP_nat_int(semiri1621563631at_int,M_2)))).
% 114.84/113.69  all K_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),K_2))-> -(all N_2 (K_2!=hAPP_nat_int(semiri1621563631at_int,N_2)))).
% 114.84/113.69  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).
% 114.84/113.69  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).
% 114.84/113.69  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)).
% 114.84/113.69  all Y (Y!=zero_zero_real->hAPP_real_real(cos,arg(hAPP_real_complex(hAPP_r265291036omplex(complex,zero_zero_real),Y)))=zero_zero_real).
% 114.84/113.69  all Real1 Real2 (hAPP_complex_nat(size_size_complex,hAPP_real_complex(hAPP_r265291036omplex(complex,Real1),Real2))=zero_zero_nat).
% 114.84/113.69  all Pa (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)))),Pa))->hAPP_nat_int(semiri1621563631at_int,hAPP_f957591787ol_nat(finite_card_int,hAPP_i1948725293t_bool(sRStar,Pa)))=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Pa),one_one_int)).
% 114.84/113.69  all Z_1 (-(all M_2 N_2 (Z_1!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_nat_int(semiri1621563631at_int,M_2)),hAPP_nat_int(semiri1621563631at_int,N_2))))).
% 114.84/113.69  all J Aa Pa (hBOOL(hAPP_int_bool(zprime,Pa))-> (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)))),Pa))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Aa),zero_zero_int),Pa))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(quadRes,Pa),Aa))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(J),zero_zero_int),Pa))->hAPP_f957591787ol_nat(finite_card_int,hAPP_i1948725293t_bool(multInvPair(Aa,Pa),J))=hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))).
% 114.84/113.69  all Aa Pa (hBOOL(hAPP_int_bool(zprime,Pa))-> (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)))),Pa))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Aa),zero_zero_int),Pa))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(quadRes,Pa),Aa))-> (all X_2 (hBOOL(hAPP_f215623910l_bool(hAPP_f628503027l_bool(member_fun_int_bool,X_2),setS(Aa,Pa)))->hAPP_f957591787ol_nat(finite_card_int,X_2)=hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))))).
% 114.84/113.69  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).
% 114.84/113.69  ii!=zero_zero_complex.
% 114.84/113.69  ii!=one_one_complex.
% 114.84/113.69  all W (ii!=hAPP_int_complex(number528085621omplex,W)).
% 114.84/113.69  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)).
% 114.84/113.69  hAPP_complex_complex(invers1449016382omplex,ii)=hAPP_complex_complex(uminus473333897omplex,ii).
% 114.84/113.69  ii=hAPP_real_complex(hAPP_r265291036omplex(complex,zero_zero_real),one_one_real).
% 114.84/113.69  all X_1 Y_2 (hAPP_real_complex(hAPP_r265291036omplex(complex,X_1),Y_2)=ii<->X_1=zero_zero_real&Y_2=one_one_real).
% 114.84/113.69  all A_2 B_1 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_real_complex(hAPP_r265291036omplex(complex,A_2),B_1)),ii)=hAPP_real_complex(hAPP_r265291036omplex(complex,hAPP_real_real(uminus_uminus_real,B_1)),A_2)).
% 114.84/113.69  all A_2 B_1 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,ii),hAPP_real_complex(hAPP_r265291036omplex(complex,A_2),B_1))=hAPP_real_complex(hAPP_r265291036omplex(complex,hAPP_real_real(uminus_uminus_real,B_1)),A_2)).
% 114.84/113.69  hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,ii),ii)=hAPP_int_complex(number528085621omplex,min).
% 114.84/113.69  hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,ii),ii)=hAPP_complex_complex(uminus473333897omplex,one_one_complex).
% 114.84/113.69  all Aa Pa (hBOOL(hAPP_int_bool(zprime,Pa))-> (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)))),Pa))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Aa),zero_zero_int),Pa))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(quadRes,Pa),Aa))->hAPP_nat_int(semiri1621563631at_int,hAPP_f521865025ol_nat(finite1876863882t_bool,setS(Aa,Pa)))=hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Pa),one_one_int)),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))).
% 114.84/113.69  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)))))))))).
% 114.84/113.70  all Aa Pa (hBOOL(hAPP_int_bool(zprime,Pa))-> (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)))),Pa))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Aa),zero_zero_int),Pa))->comple219730294t_bool(setS(Aa,Pa))=hAPP_i1948725293t_bool(sRStar,Pa)))).
% 114.84/113.70  all X_1 Y_2 Xa_1 (hAPP_real_complex(hAPP_r265291036omplex(complex,X_1),Y_2)=of_real_complex(Xa_1)<->X_1=Xa_1&Y_2=zero_zero_real).
% 114.84/113.70  all R_3 (of_real_complex(R_3)=hAPP_real_complex(hAPP_r265291036omplex(complex,R_3),zero_zero_real)).
% 114.84/113.70  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)))).
% 114.84/113.70  all X Y R_3 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_real_complex(hAPP_r265291036omplex(complex,X),Y)),of_real_complex(R_3))=hAPP_real_complex(hAPP_r265291036omplex(complex,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X),R_3)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Y),R_3))).
% 114.84/113.70  all R_3 X Y (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,of_real_complex(R_3)),hAPP_real_complex(hAPP_r265291036omplex(complex,X),Y))=hAPP_real_complex(hAPP_r265291036omplex(complex,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,R_3),X)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,R_3),Y))).
% 114.84/113.70  all R_3 X Y (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,of_real_complex(R_3)),hAPP_real_complex(hAPP_r265291036omplex(complex,X),Y))=hAPP_real_complex(hAPP_r265291036omplex(complex,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,R_3),X)),Y)).
% 114.84/113.70  all X Y R_3 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_real_complex(hAPP_r265291036omplex(complex,X),Y)),of_real_complex(R_3))=hAPP_real_complex(hAPP_r265291036omplex(complex,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X),R_3)),Y)).
% 114.84/113.70  hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,ii),ii)=of_real_complex(hAPP_int_real(number267125858f_real,min)).
% 114.84/113.70  all R_3 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,ii),of_real_complex(R_3))=hAPP_real_complex(hAPP_r265291036omplex(complex,zero_zero_real),R_3)).
% 114.84/113.70  all R_3 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,of_real_complex(R_3)),ii)=hAPP_real_complex(hAPP_r265291036omplex(complex,zero_zero_real),R_3)).
% 114.84/113.70  of_real_complex(hAPP_real_real(uminus_uminus_real,one_one_real))=hAPP_complex_complex(uminus473333897omplex,one_one_complex).
% 114.84/113.70  all R_3 A_2 (hAPP_complex_real(norm_norm_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,of_real_complex(R_3)),hAPP_real_complex(hAPP_r265291036omplex(complex,hAPP_real_real(cos,A_2)),hAPP_real_real(sin,A_2))))=hAPP_real_real(abs_abs_real,R_3)).
% 114.84/113.70  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.
% 114.84/113.70  all A_2 B_1 (expi(hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_2),B_1))=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,expi(A_2)),expi(B_1))).
% 114.84/113.70  expi(zero_zero_complex)=one_one_complex.
% 114.84/113.70  all Z_1 exists R_1 A_1 (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_1)),hAPP_real_real(sin,A_1)))).
% 114.84/113.70  all Aa Pa (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)))),Pa))->hBOOL(hAPP_f448129468l_bool(finite_finite_int,comple219730294t_bool(setS(Aa,Pa))))).
% 114.84/113.70  all Aa Pa hBOOL(hAPP_f448129468l_bool(finite_finite_int,hAPP_i1948725293t_bool(wset(Aa),Pa))).
% 114.84/113.70  all Aa hBOOL(hAPP_f448129468l_bool(finite_finite_int,hAPP_i1948725293t_bool(d22set,Aa))).
% 114.84/113.70  all Aa Pa X_2 (hBOOL(hAPP_f215623910l_bool(hAPP_f628503027l_bool(member_fun_int_bool,X_2),setS(Aa,Pa)))->hBOOL(hAPP_f448129468l_bool(finite_finite_int,X_2))).
% 114.84/113.70  all Pa (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)))),Pa))->hBOOL(hAPP_f448129468l_bool(finite_finite_int,hAPP_i1948725293t_bool(sRStar,Pa)))).
% 114.84/113.70  all Aa Pa (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)))),Pa))->hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,setS(Aa,Pa)))).
% 114.84/113.70  all F Aa Ba (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba))-> ((all X_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),X_2))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_2),Ba))-> (exists Y_1 (hBOOL(hAPP_real_bool(deriv_real(F,X_2),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,Ba)),hAPP_real_real(F,Aa))))).
% 114.84/113.70  all F Aa Ba (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba))-> ((all X_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),X_2))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_2),Ba))-> (exists Y_1 (hBOOL(hAPP_real_bool(deriv_real(F,X_2),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,Aa)),hAPP_real_real(F,Ba))))).
% 114.84/113.70  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)))))))).
% 114.84/113.70  all Aa Ba (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,Aa),Ba))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,Ba),Aa))).
% 114.84/113.70  all D_3 A_2 B_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,D_3),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_2),B_1)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,D_3),B_1))).
% 114.84/113.70  all D_3 A_2 B_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,D_3),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_2),B_1)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,D_3),A_2))).
% 114.84/113.70  all B_1 D_3 A_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,D_3),A_2))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,D_3),B_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,D_3),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_2),B_1))))).
% 114.84/113.70  all D Aa Ba (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,D),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Aa),Ba)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,D),Aa))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,D),Ba))).
% 114.84/113.70  all A_2 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,one_one_nat),A_2)).
% 114.84/113.70  all A_2 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,A_2),one_one_nat)).
% 114.84/113.70  all N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,N),N))<->N=one_one_nat).
% 114.84/113.70  all N_1 A_2 B_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,A_2),B_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_2),N_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,B_1),N_1)))).
% 114.84/113.70  all N_1 D_3 A_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,D_3),A_2))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,D_3),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_2),N_1)))).
% 114.84/113.70  all A_2 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,hAPP_nat_nat(suc,zero_zero_nat)),A_2)).
% 114.84/113.70  all A_2 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,A_2),hAPP_nat_nat(suc,zero_zero_nat))).
% 114.84/113.70  all D (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,D),zero_zero_nat))<->D=one_one_nat).
% 114.84/113.70  all D (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,zero_zero_nat),D))<->D=one_one_nat).
% 114.84/113.70  all N_1 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_1),one_one_nat)),N_1)).
% 114.84/113.70  all Aa N Ba (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,Aa),hAPP_nat_nat(suc,N))),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,Ba),hAPP_nat_nat(suc,N))))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,Aa),Ba))).
% 114.84/113.70  all N_1 (N_1!=zero_zero_nat->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_1),one_one_nat)),N_1))).
% 114.84/113.70  all Aa Ba (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,Aa),Ba))<-> (exists X_2 Y_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Aa),X_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Ba),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,Ba),X_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Aa),Y_1))=one_one_nat))).
% 114.84/113.70  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))).
% 114.84/113.70  all A_2 B_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,A_2),B_1))-> (B_1!=one_one_nat-> (exists X_2 Y_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_2),X_2)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_1),Y_1)),one_one_nat))))).
% 114.84/113.70  hAPP_nat_nat(nat_size,zero_zero_nat)=zero_zero_nat.
% 114.84/113.70  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))).
% 114.84/113.70  all Z_1 exists A_1 R_1 (Z_1=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,of_real_complex(R_1)),expi(A_1))).
% 114.84/113.70  all X_3 M (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),M))-> (hBOOL(hAPP_f448129468l_bool(resSet(M),X_3))->hBOOL(hAPP_f448129468l_bool(finite_finite_int,X_3)))).
% 114.84/113.70  all N_1 (hAPP_nat_nat(size_size_nat,N_1)=N_1).
% 114.84/113.70  all M X_3 (hBOOL(hAPP_f448129468l_bool(resSet(M),X_3))<-> (all Y1 Y2 (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Y1),X_3))&hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Y2),X_3))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Y1),Y2),M))->Y1=Y2))).
% 114.84/113.70  hAPP_nat_nat(size_size_nat,zero_zero_nat)=zero_zero_nat.
% 114.84/113.70  all Pa hBOOL(hAPP_f448129468l_bool(resSet(Pa),hAPP_i1948725293t_bool(sRStar,Pa))).
% 114.84/113.70  code_c271388182l_size(zero_z126310315umeral)=zero_zero_nat.
% 114.84/113.70  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))))).
% 114.84/113.70  all X (hAPP_complex_complex(cnj,of_real_complex(X))=of_real_complex(X)).
% 114.84/113.70  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))).
% 114.84/113.70  all X N_1 (hAPP_complex_complex(cnj,hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,X),N_1))=hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,hAPP_complex_complex(cnj,X)),N_1)).
% 114.84/113.70  all N_1 (hAPP_complex_complex(cnj,hAPP_nat_complex(semiri2020571505omplex,N_1))=hAPP_nat_complex(semiri2020571505omplex,N_1)).
% 114.84/113.70  hAPP_complex_complex(cnj,one_one_complex)=one_one_complex.
% 114.84/113.70  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))).
% 114.84/113.70  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))).
% 114.84/113.70  all W (hAPP_complex_complex(cnj,hAPP_int_complex(number528085621omplex,W))=hAPP_int_complex(number528085621omplex,W)).
% 114.84/113.70  hAPP_complex_complex(cnj,zero_zero_complex)=zero_zero_complex.
% 114.84/113.70  all Z_2 (hAPP_complex_complex(cnj,Z_2)=zero_zero_complex<->Z_2=zero_zero_complex).
% 114.84/113.70  all Z_1 (hAPP_complex_complex(cnj,hAPP_complex_complex(cnj,Z_1))=Z_1).
% 114.84/113.70  all X_1 Y_2 (hAPP_complex_complex(cnj,X_1)=hAPP_complex_complex(cnj,Y_2)<->X_1=Y_2).
% 114.84/113.70  all X (hAPP_complex_complex(cnj,hAPP_complex_complex(invers1449016382omplex,X))=hAPP_complex_complex(invers1449016382omplex,hAPP_complex_complex(cnj,X))).
% 114.84/113.70  all Z_1 (hAPP_complex_real(norm_norm_complex,hAPP_complex_complex(cnj,Z_1))=hAPP_complex_real(norm_norm_complex,Z_1)).
% 114.84/113.70  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))).
% 114.84/113.70  all X (hAPP_complex_complex(cnj,hAPP_complex_complex(uminus473333897omplex,X))=hAPP_complex_complex(uminus473333897omplex,hAPP_complex_complex(cnj,X))).
% 114.84/113.70  all A_2 B_1 (hAPP_complex_complex(cnj,hAPP_real_complex(hAPP_r265291036omplex(complex,A_2),B_1))=hAPP_real_complex(hAPP_r265291036omplex(complex,A_2),hAPP_real_real(uminus_uminus_real,B_1))).
% 114.84/113.70  hAPP_complex_complex(cnj,ii)=hAPP_complex_complex(uminus473333897omplex,ii).
% 114.84/113.70  exists K_4 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),K_4))& (all X_2 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_complex_real(norm_norm_complex,hAPP_complex_complex(cnj,X_2))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_complex_real(norm_norm_complex,X_2)),K_4))))).
% 114.84/113.70  exists K_4 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),K_4))& (all X_2 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_complex_real(norm_norm_complex,hAPP_complex_complex(cnj,X_2))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_complex_real(norm_norm_complex,X_2)),K_4))))).
% 114.84/113.70  exists K_4 all X_2 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_complex_real(norm_norm_complex,hAPP_complex_complex(cnj,X_2))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_complex_real(norm_norm_complex,X_2)),K_4))).
% 114.84/113.70  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)).
% 114.84/113.70  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)))).
% 114.84/113.70  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))).
% 114.84/113.70  all Z_1 (hAPP_complex_real(re,of_real_complex(Z_1))=Z_1).
% 114.84/113.70  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)))).
% 114.84/113.70  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)))).
% 114.84/113.70  all Code_numeral_5 Code_numeral_4 (code_S1047413653umeral(Code_numeral_5)=code_S1047413653umeral(Code_numeral_4)<->Code_numeral_5=Code_numeral_4).
% 114.84/113.70  all X_1 Y_2 (X_1=Y_2<->hAPP_complex_real(re,X_1)=hAPP_complex_real(re,Y_2)&hAPP_complex_real(im,X_1)=hAPP_complex_real(im,Y_2)).
% 114.84/113.70  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)).
% 114.84/113.70  all Z_1 (hAPP_real_complex(hAPP_r265291036omplex(complex,hAPP_complex_real(re,Z_1)),hAPP_complex_real(im,Z_1))=Z_1).
% 114.84/113.70  all X Y (hAPP_complex_real(re,hAPP_real_complex(hAPP_r265291036omplex(complex,X),Y))=X).
% 114.84/113.70  all X Y (hAPP_complex_real(im,hAPP_real_complex(hAPP_r265291036omplex(complex,X),Y))=Y).
% 114.84/113.70  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)))).
% 114.84/113.70  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)))).
% 114.84/113.70  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)))).
% 114.84/113.70  all X (hAPP_complex_real(re,hAPP_complex_complex(cnj,X))=hAPP_complex_real(re,X)).
% 114.84/113.70  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))).
% 114.84/113.70  all X (hAPP_complex_real(im,hAPP_complex_complex(cnj,X))=hAPP_real_real(uminus_uminus_real,hAPP_complex_real(im,X))).
% 114.84/113.70  hAPP_complex_real(re,ii)=zero_zero_real.
% 114.84/113.70  all Z_1 (hAPP_complex_real(im,of_real_complex(Z_1))=zero_zero_real).
% 114.84/113.70  hAPP_complex_real(im,ii)=one_one_real.
% 114.84/113.70  all Code_numeral_3 (code_S1047413653umeral(Code_numeral_3)!=zero_z126310315umeral).
% 114.84/113.70  all Code_numeral_2 (zero_z126310315umeral!=code_S1047413653umeral(Code_numeral_2)).
% 114.84/113.70  hAPP_complex_real(re,zero_zero_complex)=zero_zero_real.
% 114.84/113.70  hAPP_complex_real(im,zero_zero_complex)=zero_zero_real.
% 114.84/113.70  hAPP_complex_real(im,one_one_complex)=zero_zero_real.
% 114.84/113.70  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))).
% 114.84/113.70  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))).
% 114.84/113.70  hAPP_complex_real(re,one_one_complex)=one_one_real.
% 114.84/113.70  all V_2 (hAPP_complex_real(im,hAPP_int_complex(number528085621omplex,V_2))=zero_zero_real).
% 114.84/113.70  all X (hAPP_complex_real(re,hAPP_complex_complex(uminus473333897omplex,X))=hAPP_real_real(uminus_uminus_real,hAPP_complex_real(re,X))).
% 114.84/113.70  all V_2 (hAPP_complex_real(re,hAPP_int_complex(number528085621omplex,V_2))=hAPP_int_real(number267125858f_real,V_2)).
% 114.84/113.70  all X (hAPP_complex_real(im,hAPP_complex_complex(uminus473333897omplex,X))=hAPP_real_real(uminus_uminus_real,hAPP_complex_real(im,X))).
% 114.84/113.70  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))).
% 114.84/113.70  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))).
% 114.84/113.70  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))))).
% 114.84/113.70  all N_1 (hAPP_complex_real(im,hAPP_nat_complex(semiri2020571505omplex,N_1))=zero_zero_real).
% 114.84/113.70  all N_1 (hAPP_complex_real(re,hAPP_nat_complex(semiri2020571505omplex,N_1))=hAPP_nat_real(semiri132038758t_real,N_1)).
% 114.84/113.70  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))).
% 114.84/113.70  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))).
% 114.84/113.70  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).
% 114.84/113.70  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))).
% 114.84/113.70  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))).
% 114.84/113.70  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))))))).
% 114.84/113.70  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))))))).
% 114.84/113.70  all N_1 (hAPP_C498520661umeral(hAPP_C1594335432umeral(minus_1690775515umeral,code_S1047413653umeral(N_1)),one_on1645066479umeral)=N_1).
% 114.84/113.70  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))))))).
% 114.84/113.70  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))))).
% 114.84/113.70  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))))))).
% 114.84/113.70  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)))))))).
% 114.84/113.70  exists K_4 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),K_4))& (all X_2 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(norm_norm_real,hAPP_complex_real(im,X_2))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_complex_real(norm_norm_complex,X_2)),K_4))))).
% 114.84/113.70  exists K_4 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),K_4))& (all X_2 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(norm_norm_real,hAPP_complex_real(re,X_2))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_complex_real(norm_norm_complex,X_2)),K_4))))).
% 114.84/113.70  exists K_4 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),K_4))& (all X_2 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(norm_norm_real,hAPP_complex_real(im,X_2))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_complex_real(norm_norm_complex,X_2)),K_4))))).
% 114.84/113.70  exists K_4 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),K_4))& (all X_2 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(norm_norm_real,hAPP_complex_real(re,X_2))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_complex_real(norm_norm_complex,X_2)),K_4))))).
% 114.84/113.70  exists K_4 all X_2 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(norm_norm_real,hAPP_complex_real(im,X_2))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_complex_real(norm_norm_complex,X_2)),K_4))).
% 114.84/113.70  exists K_4 all X_2 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(norm_norm_real,hAPP_complex_real(re,X_2))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_complex_real(norm_norm_complex,X_2)),K_4))).
% 114.84/113.70  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))).
% 114.84/113.70  all Y (Y!=zero_z126310315umeral-> -(all Code_numeral (Y!=code_S1047413653umeral(Code_numeral)))).
% 114.84/113.70  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)))).
% 114.84/113.70  all A_2 (hAPP_complex_real(re,cis(A_2))=hAPP_real_real(cos,A_2)).
% 114.84/113.70  all A_2 (hAPP_complex_real(im,cis(A_2))=hAPP_real_real(sin,A_2)).
% 114.84/113.70  all A_2 B_1 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,cis(A_2)),cis(B_1))=cis(hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_2),B_1))).
% 114.84/113.70  cis(zero_zero_real)=one_one_complex.
% 114.84/113.70  all A_2 (hAPP_complex_complex(invers1449016382omplex,cis(A_2))=cis(hAPP_real_real(uminus_uminus_real,A_2))).
% 114.84/113.70  all A_2 B_1 (hAPP_complex_complex(hAPP_c172932010omplex(invers1025623611omplex,cis(A_2)),cis(B_1))=cis(hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,A_2),B_1))).
% 114.84/113.70  all A_2 (cis(A_2)=hAPP_real_complex(hAPP_r265291036omplex(complex,hAPP_real_real(cos,A_2)),hAPP_real_real(sin,A_2))).
% 114.84/113.70  all A_2 N_1 (hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,cis(A_2)),N_1)=cis(hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N_1)),A_2))).
% 114.84/113.70  all N_1 A_2 (cis(hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,hAPP_nat_nat(suc,N_1))),A_2))=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,cis(A_2)),cis(hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N_1)),A_2)))).
% 114.84/113.70  hAPP_C2129356693al_nat(size_s945831648umeral,zero_z126310315umeral)=zero_zero_nat.
% 114.84/113.70  all N_1 A_2 (hAPP_real_real(cos,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N_1)),A_2))=hAPP_complex_real(re,hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,cis(A_2)),N_1))).
% 114.84/113.70  all N_1 A_2 (hAPP_real_real(sin,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N_1)),A_2))=hAPP_complex_real(im,hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,cis(A_2)),N_1))).
% 114.84/113.70  all N_1 M_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,N_1),M_1))->M_1=zero_zero_nat|M_1=N_1|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N_1)),M_1))).
% 114.84/113.70  all X hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),X)).
% 114.84/113.70  all K_2 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(suc,zero_zero_nat)),K_2)).
% 114.84/113.70  all E_1 B_1 D_3 A_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D_3),A_2))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,E_1),B_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,A_2),B_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,D_3),E_1))))).
% 114.84/113.70  all N_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,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X),N_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,Y),N_1)))).
% 114.84/113.70  all A_2 (-(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,zero_zero_nat),A_2))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_2),zero_zero_nat)))).
% 114.84/113.70  all A_2 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_2),zero_zero_nat)).
% 114.84/113.70  all Aa (Aa!=zero_zero_nat<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Aa),zero_zero_nat))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,zero_zero_nat),Aa))).
% 114.84/113.70  all Aa (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,zero_zero_nat),Aa))<->Aa=zero_zero_nat).
% 114.84/113.70  all A_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,zero_zero_nat),A_2))->A_2=zero_zero_nat).
% 114.84/113.70  all A_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_2),one_one_nat))->A_2=one_one_nat).
% 114.84/113.70  all Aa (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Aa),one_one_nat))<->Aa=one_one_nat).
% 114.84/113.70  all Aa (Aa!=one_one_nat<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,one_one_nat),Aa))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Aa),one_one_nat))).
% 114.84/113.70  all A_2 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,one_one_nat),A_2)).
% 114.84/113.70  all A_2 (-(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_2),one_one_nat))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,one_one_nat),A_2)))).
% 114.84/113.70  all M (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,M),one_one_nat))<->M=one_one_nat).
% 114.84/113.70  all C_1 A_2 B_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_2),B_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_2),C_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_1),C_1)))).
% 114.84/113.70  all C_1 A_2 B_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_2),B_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_1),A_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_1),B_1)))).
% 114.84/113.70  all B_1 D_3 A_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D_3),A_2))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D_3),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_2),B_1)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D_3),B_1)))).
% 114.84/113.70  all K_1 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N),K_1)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_1),N))).
% 114.84/113.70  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)))).
% 114.84/113.70  all X_1 Y_2 (X_1=Y_2<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Y_2))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y_2),X_1))).
% 114.84/113.70  all X_1 Y_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Y_2))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Y_2))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y_2),X_1))|X_1=Y_2).
% 114.84/113.70  all X_1 Y_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Y_2))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y_2),X_1))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Y_2))&X_1!=Y_2).
% 114.84/113.70  all X_1 Y_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Y_2))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y_2),X_1))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Y_2))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y_2),X_1))).
% 114.84/113.70  all A_2 B_1 (A_2!=B_1-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_2),B_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_2),B_1))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B_1),A_2)))).
% 114.84/113.70  all X Y (X=Y->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Y))).
% 114.84/113.70  all Y_2 X_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y_2),X_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Y_2))<->X_1=Y_2)).
% 114.84/113.70  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).
% 114.84/113.70  all A_2 B_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_2),B_1))-> (A_2!=B_1->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_2),B_1))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B_1),A_2)))).
% 114.84/113.70  all C_1 A_2 B_1 (A_2=B_1-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B_1),C_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_2),C_1)))).
% 114.84/113.70  all C_1 A_2 B_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_2),B_1))-> (B_1=C_1->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_2),C_1)))).
% 114.84/113.70  all M_1 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,M_1),N_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,N_1),M_1))->M_1=N_1)).
% 114.84/113.70  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)).
% 114.84/113.70  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)))).
% 114.84/113.70  all C_1 A_2 B_1 (A_2=B_1-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B_1),C_1))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,C_1),B_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_2),C_1))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,C_1),A_2)))).
% 114.84/113.70  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)))).
% 114.84/113.70  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).
% 114.84/113.70  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)))).
% 114.84/113.70  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))).
% 114.84/113.70  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)))).
% 114.84/113.70  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).
% 114.84/113.70  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).
% 114.84/113.70  all P_1 X_1 Y_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Y_2))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y_2),X_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y_2),X_1))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Y_2))->hBOOL(P_1))).
% 114.84/113.70  all C_1 A_2 B_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_2),B_1))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B_1),A_2))-> (B_1=C_1->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_2),C_1))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,C_1),A_2)))).
% 114.84/113.70  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)))).
% 114.84/113.70  all A_2 B_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_2),B_1))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B_1),A_2))-> -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B_1),A_2))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_2),B_1)))).
% 114.84/113.70  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)))).
% 114.84/113.70  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)))).
% 114.84/113.70  all X_1 Y_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Y_2))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y_2),X_1))<->X_1=Y_2).
% 114.84/113.70  all N_1 K_2 M_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_2),M_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_2),N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N_1))))).
% 114.84/113.70  all M (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,M),hAPP_nat_nat(suc,zero_zero_nat)))<->M=hAPP_nat_nat(suc,zero_zero_nat)).
% 114.84/113.70  all N_1 M_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),M_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1))-> -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,N_1),M_1)))).
% 114.84/113.70  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(dvd_dvd_nat,M_1),N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),M_1)))).
% 114.84/113.70  all A_2 B_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_2),B_1))->B_1=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_2),B_1))).
% 114.84/113.70  all M_1 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,M_1),N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1))|N_1=zero_zero_nat).
% 114.84/113.70  all M K_1 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),K_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N),K_1)))<->K_1=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,M),N))).
% 114.84/113.70  all K_1 M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),N)))<->K_1=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,M),N))).
% 114.84/113.70  all K_2 M_1 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N_1)))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_2),M_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),M_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_2),N_1))))).
% 114.84/113.70  all K_2 M_1 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N_1)))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_2),N_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),M_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_2),M_1))))).
% 114.84/113.70  all A_2 N_1 B_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_2),N_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,B_1),N_1)))-> (N_1!=zero_zero_nat->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_2),B_1)))).
% 114.84/113.70  all X Y N_1 (N_1!=zero_zero_nat-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X),N_1)),Y))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Y)))).
% 114.84/113.70  all Aa Ba 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,Aa),N)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,Ba),N)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Aa),Ba)))).
% 114.84/113.70  all N_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),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,Y),hAPP_nat_nat(suc,N_1))))).
% 114.84/113.70  all N_1 M_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),M_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(fact_fact_nat,N_1)),hAPP_nat_nat(fact_fact_nat,M_1)))).
% 114.84/113.70  all N_1 M_1 R_3 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,M_1),R_3))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,N_1),R_3))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,M_1),N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),N_1)),R_3))))).
% 114.84/113.70  all D_3 A_2 B_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D_3),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_2),B_1)))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,D_3),A_2))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D_3),B_1)))).
% 114.84/113.70  all Aa Ba (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,Aa),Ba))<-> (all D_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D_2),Aa))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D_2),Ba))<->D_2=one_one_nat))).
% 114.84/113.70  all K_2 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_2),N_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_2),N_1)))).
% 114.84/113.70  all K_2 M_1 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_2),M_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_2),N_1)))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_2))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,M_1),N_1)))).
% 114.84/113.70  all M N K_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),N)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,M),N)))).
% 114.84/113.70  all N_1 M_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,one_one_nat),M_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,M_1),hAPP_nat_nat(fact_fact_nat,N_1))))).
% 114.84/113.70  all X Q_1 N_1 R_3 (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_1)),R_3)-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),R_3))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,R_3),N_1))-> -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,N_1),X))))).
% 114.84/113.70  all N M (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),M))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N),M)),M))<->N=one_one_nat)).
% 114.84/113.70  all N M (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),M))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),N)),M))<->N=one_one_nat)).
% 114.84/113.70  all I M_1 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,I),M_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,I),N_1)))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),I))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1)))).
% 114.84/113.70  all N (hBOOL(hAPP_nat_bool(even_odd_even_nat,N))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N))).
% 114.84/113.70  all X_1 (hBOOL(hAPP_nat_bool(even_odd_even_nat,X_1))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),X_1))).
% 114.84/113.70  all N_1 D_3 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),D_3))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D_3),N_1))->hAPP_nat_real(real_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,N_1),D_3))=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_nat_real(real_nat,N_1)),hAPP_nat_real(real_nat,D_3)))).
% 114.84/113.70  all N N_5 F ((all N_2 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(F,N_2)),hAPP_nat_nat(F,hAPP_nat_nat(suc,N_2)))))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),N_5))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(F,N)),hAPP_nat_nat(F,N_5))))).
% 114.84/113.70  all N M F ((all N_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(F,N_2)),hAPP_nat_nat(F,hAPP_nat_nat(suc,N_2))))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(F,hAPP_nat_nat(suc,N_2))),hAPP_nat_nat(F,N_2)))))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(F,N)),hAPP_nat_nat(F,M)))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(F,M)),hAPP_nat_nat(F,N)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),M)))).
% 114.84/113.70  all N N_5 F ((all N_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(F,N_2)),hAPP_nat_nat(F,hAPP_nat_nat(suc,N_2))))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(F,hAPP_nat_nat(suc,N_2))),hAPP_nat_nat(F,N_2)))))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),N_5))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(F,N)),hAPP_nat_nat(F,N_5)))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(F,N_5)),hAPP_nat_nat(F,N))))).
% 114.84/113.70  all D_3 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(abs_abs_int,D_3)),D_3)).
% 114.84/113.70  all D_3 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D_3),hAPP_int_int(abs_abs_int,D_3))).
% 114.84/113.70  all N_1 F_3 M_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,F_3),M_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,F_3),N_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,F_3),hAPP_int_int(div_mod_int(M_1),N_1))))).
% 114.84/113.70  all K_2 M_1 N_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_2),hAPP_int_int(div_mod_int(M_1),N_1)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_2),N_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_2),M_1)))).
% 114.84/113.70  all A_2 B_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A_2),B_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,B_1),A_2))->hAPP_int_int(abs_abs_int,A_2)=hAPP_int_int(abs_abs_int,B_1))).
% 114.84/113.70  all K_2 M_1 N_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_2),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,M_1),N_1)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_2),N_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_2),M_1)))).
% 114.84/113.70  all D T (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),T))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(uminus_uminus_int,D)),T))).
% 114.84/113.70  all D T (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),T))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),hAPP_int_int(uminus_uminus_int,T)))).
% 114.84/113.70  all N_1 M_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),M_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,M_1),N_1))-> -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,N_1),M_1)))).
% 114.84/113.70  all N_1 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(ord_less_e_q_int,zero_zero_int),N_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,M_1),N_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,N_1),M_1))->M_1=N_1)))).
% 114.84/113.70  all N_1 M_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,N_1),M_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,M_1),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,N_1),M_1))).
% 114.84/113.70  all M T K_1 (K_1!=zero_zero_int-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,M),T))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),M)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),T))))).
% 114.84/113.70  all K_2 M_1 N_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_2),M_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_2),N_1)))-> (K_2!=zero_zero_int->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,M_1),N_1)))).
% 114.84/113.70  all C X_1 T Aa D (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,Aa),D))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,Aa),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_1),T)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,Aa),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_1),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),D))),T))))).
% 114.84/113.70  all K_1 N M (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_1),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,N),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),M))))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_1),N))).
% 114.84/113.70  all Aa M (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Aa),zero_zero_int),M))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,M),Aa))).
% 114.84/113.70  all X_1 Pa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(X_1),zero_zero_int),Pa))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,Pa),X_1))).
% 114.84/113.70  all X_1 Y_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(semiri1621563631at_int,X_1)),hAPP_nat_int(semiri1621563631at_int,Y_2)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Y_2))).
% 114.84/113.70  all X_1 Y_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Y_2))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(semiri1621563631at_int,X_1)),hAPP_nat_int(semiri1621563631at_int,Y_2)))).
% 114.84/113.70  all A_2 N_1 B_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_2),N_1)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,B_1),N_1)))-> (N_1!=zero_zero_nat->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A_2),B_1)))).
% 114.84/113.70  all Aa Ba N (N!=zero_zero_nat-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,Aa),N)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,Ba),N)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,Aa),Ba)))).
% 114.84/113.70  all N_1 M_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,N_1),M_1))->hAPP_int_int(hAPP_int_fun_int_int(times_times_int,N_1),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,M_1),N_1))=M_1).
% 114.84/113.70  all X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X_1),one_one_int))<->hAPP_int_int(abs_abs_int,X_1)=one_one_int).
% 114.84/113.70  all Aa Ba M (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Aa),Ba),M))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,M),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Aa),Ba)))).
% 114.84/113.70  all X_1 N Y_2 (hAPP_int_int(div_mod_int(X_1),N)=hAPP_int_int(div_mod_int(Y_2),N)<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,N),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_1),Y_2)))).
% 114.84/113.70  all M_1 N_1 P_3 (hBOOL(hAPP_int_bool(zprime,P_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_3),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,M_1),N_1)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_3),M_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_3),N_1)))).
% 114.84/113.70  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))).
% 114.84/113.70  all A_2 N_1 P_3 (hBOOL(hAPP_int_bool(zprime,P_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_3),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_2),N_1)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_3),A_2)))).
% 114.84/113.70  all Z_1 N_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,Z_1),N_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),N_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z_1),N_1)))).
% 114.84/113.70  all P_3 Y N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_3),Y))->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_1))))).
% 114.84/113.70  all A_2 B_1 M_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),M_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,M_1),B_1))->hAPP_int_int(div_mod_int(hAPP_int_int(div_mod_int(A_2),B_1)),M_1)=hAPP_int_int(div_mod_int(A_2),M_1))).
% 114.84/113.70  all X_1 Y_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(number_number_of_int,X_1)),hAPP_int_int(number_number_of_int,Y_2)))<->hAPP_int_int(div_mod_int(hAPP_int_int(number_number_of_int,Y_2)),hAPP_int_int(number_number_of_int,X_1))=zero_zero_int).
% 114.84/113.70  all D_3 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))))).
% 114.84/113.70  all N_1 A_2 B_1 P_3 (hBOOL(hAPP_int_bool(zprime,P_3))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_3),B_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,P_3),N_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_2),B_1)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,P_3),N_1)),A_2))))).
% 114.84/113.70  all N_1 B_1 A_2 P_3 (hBOOL(hAPP_int_bool(zprime,P_3))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_3),A_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,P_3),N_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_2),B_1)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,P_3),N_1)),B_1))))).
% 114.84/113.70  all Y_2 X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y_2))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_int_nat(nat,X_1)),hAPP_int_nat(nat,Y_2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X_1),Y_2))))).
% 114.84/113.70  all N M (M!=zero_zero_int-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,M),N)),M))<->hAPP_int_int(abs_abs_int,N)=one_one_int)).
% 114.84/113.70  all N_1 P_3 M_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),M_1))-> (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_1),N_1)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_3),M_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_3),N_1))))).
% 114.84/113.70  all N_1 D_3 (D_3!=zero_zero_int-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D_3),N_1))->hAPP_int_real(real_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,N_1),D_3))=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_int_real(real_int,N_1)),hAPP_int_real(real_int,D_3)))).
% 114.84/113.70  all Z_2 M (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,Z_2),hAPP_nat_int(semiri1621563631at_int,M)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_int_nat(nat,hAPP_int_int(abs_abs_int,Z_2))),M))).
% 114.84/113.70  all M Z_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(semiri1621563631at_int,M)),Z_2))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,M),hAPP_int_nat(nat,hAPP_int_int(abs_abs_int,Z_2))))).
% 114.84/113.70  all Y N_1 P_3 (hBOOL(hAPP_int_bool(zprime,P_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_3),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,Y),N_1)))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_3),Y))))).
% 114.84/113.70  all Pa (hBOOL(hAPP_int_bool(zprime,Pa))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),Pa))& (all M_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),M_2))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,M_2),Pa))->M_2=one_one_int|M_2=Pa))).
% 114.84/113.70  all X_1 (hBOOL(hAPP_int_bool(even_odd_even_int,X_1))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),X_1))).
% 114.84/113.70  all Z_2 M (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_int_nat(nat,Z_2)),M))<-> (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,M))))& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Z_2))->M=zero_zero_nat)).
% 114.84/113.70  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)))).
% 114.84/113.70  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)))).
% 114.84/113.70  all A_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_2))-> (exists P_4 (hBOOL(hAPP_int_bool(zprime,P_4))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_4),A_2))))).
% 114.84/113.70  all M_1 P_3 (hBOOL(hAPP_nat_bool(prime,P_3))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,P_3),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,M_1),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_1)))).
% 114.84/113.71  one_on1684967323de_int=hAPP_i1732201573de_int(number1226105091de_int,hAPP_int_int(bit1,pls)).
% 114.84/113.71  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)))).
% 114.84/113.71  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))))).
% 114.84/113.71  all N M (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,N),M))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,quickcheck_int_of(N)),quickcheck_int_of(M)))).
% 114.84/113.71  all N M (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,N),M))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,quickcheck_int_of(N)),quickcheck_int_of(M)))).
% 114.84/113.71  -hBOOL(hAPP_nat_bool(prime,one_one_nat)).
% 114.84/113.71  -hBOOL(hAPP_nat_bool(prime,zero_zero_nat)).
% 114.84/113.71  all K_2 (quickcheck_int_of(hAPP_i1732201573de_int(number1226105091de_int,K_2))=hAPP_int_int(number_number_of_int,K_2)).
% 114.84/113.71  all X_1 Y_2 (quickcheck_int_of(X_1)=quickcheck_int_of(Y_2)<->X_1=Y_2).
% 114.84/113.71  all K_1 L (quickcheck_int_of(K_1)=quickcheck_int_of(L)<->K_1=L).
% 114.84/113.71  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))).
% 114.84/113.71  -hBOOL(hAPP_nat_bool(prime,hAPP_nat_nat(suc,zero_zero_nat))).
% 114.84/113.71  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))).
% 114.84/113.71  all Aa Ba Pa (hBOOL(hAPP_nat_bool(prime,Pa))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Pa),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Aa),Ba)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Pa),Aa))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Pa),Ba)))).
% 114.84/113.71  all A_2 B_1 P_3 (hBOOL(hAPP_nat_bool(prime,P_3))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,P_3),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_2),B_1)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,P_3),A_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,P_3),B_1)))).
% 114.84/113.71  all M_1 N_1 P_3 (hBOOL(hAPP_nat_bool(prime,P_3))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,P_3),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),N_1)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,P_3),M_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,P_3),N_1)))).
% 114.84/113.71  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).
% 114.84/113.71  all A_2 N_1 P_3 (hBOOL(hAPP_nat_bool(prime,P_3))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,P_3),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_2),N_1)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,P_3),A_2)))).
% 114.84/113.71  all X N_1 P_3 (hBOOL(hAPP_nat_bool(prime,P_3))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,P_3),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X),N_1)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,P_3),X)))).
% 114.84/113.71  all X N_1 P_3 (hBOOL(hAPP_nat_bool(prime,P_3))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,P_3),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X),N_1)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,P_3),N_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X),N_1))))).
% 114.84/113.71  all Pa N (hBOOL(hAPP_nat_bool(prime,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,Pa),N)))<->hBOOL(hAPP_nat_bool(prime,Pa))&N=one_one_nat).
% 114.84/113.71  all P_3 A_2 B_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,A_2),B_1))-> -(hBOOL(hAPP_nat_bool(prime,P_3))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,P_3),A_2))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,P_3),B_1)))).
% 114.84/113.71  all N_1 P_3 (hBOOL(hAPP_nat_bool(prime,P_3))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,P_3),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,P_3),N_1))).
% 114.84/113.71  all Aa Ba (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,Aa),Ba))<-> (all P_4 (-(hBOOL(hAPP_nat_bool(prime,P_4))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,P_4),Aa))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,P_4),Ba)))))).
% 114.84/113.71  all A_2 (hBOOL(hAPP_nat_bool(prime,A_2))->hBOOL(hAPP_int_bool(zprime,hAPP_nat_int(semiri1621563631at_int,A_2)))).
% 114.84/113.71  zero_z891286103de_int=hAPP_i1732201573de_int(number1226105091de_int,pls).
% 114.84/113.71  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))).
% 114.84/113.71  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)))).
% 114.84/113.71  all M_1 N_1 P_3 (hBOOL(hAPP_nat_bool(prime,P_3))-> (N_1!=zero_zero_nat-> (N_1=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,P_3),M_1)->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1))))).
% 114.84/113.71  all Pa (hBOOL(hAPP_nat_bool(prime,Pa))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),Pa))& (all M_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,M_2),Pa))->M_2=one_one_nat|M_2=Pa))).
% 114.84/113.71  all D K_1 Pa (hBOOL(hAPP_nat_bool(prime,Pa))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,Pa),K_1)))<-> (exists I_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),K_1))&D=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,Pa),I_2))))).
% 114.84/113.71  all N_1 A_2 B_1 P_3 (hBOOL(hAPP_nat_bool(prime,P_3))-> (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,P_3),B_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,P_3),N_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_2),B_1)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,P_3),N_1)),A_2))))).
% 114.84/113.71  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))))).
% 114.84/113.71  all N_1 P_3 (hBOOL(hAPP_nat_bool(prime,P_3))->N_1=one_one_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,P_3),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,P_3),N_1))).
% 114.84/113.71  hBOOL(hAPP_nat_bool(prime,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))).
% 114.84/113.71  all M_1 P_3 (hBOOL(hAPP_nat_bool(prime,P_3))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,P_3),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,M_1),hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat)))))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,P_3),M_1)))).
% 114.84/113.71  all N_1 A_2 B_1 P_3 (hBOOL(hAPP_nat_bool(prime,P_3))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,A_2),B_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,P_3),N_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_2),B_1)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,P_3),N_1)),A_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,P_3),N_1)),B_1))))).
% 114.84/113.71  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))).
% 114.84/113.71  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))).
% 114.84/113.71  all N_1 M_1 (quickc495462417de_int(N_1,M_1)=hAPP_Q1256397320de_int(hAPP_Q952608535de_int(produc1318306967de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,N_1),M_1)),hAPP_Q1762011733de_int(div_mo231679042de_int(N_1),M_1))).
% 114.84/113.71  all I (quickcheck_nat_of(I)=hAPP_int_nat(nat,quickcheck_int_of(I))).
% 114.84/113.71  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))))).
% 114.84/113.71  all X K_2 N_1 P_3 (hBOOL(hAPP_nat_bool(prime,P_3))-> (N_1!=zero_zero_nat-> (hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X),N_1)=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)))))).
% 114.84/113.71  all N_1 (N_1!=one_one_nat-> (exists P_4 (hBOOL(hAPP_nat_bool(prime,P_4))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,P_4),N_1))))).
% 114.84/113.71  all A_2 P_3 (hBOOL(hAPP_nat_bool(prime,P_3))-> (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,P_3),A_2))-> (exists X_2 Y_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_2),X_2)=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))))).
% 114.84/113.71  all N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),N_1))& -hBOOL(hAPP_nat_bool(prime,N_1))-> (exists M_2 K (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),M_2))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),K))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_2),N_1))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,K),N_1))&N_1=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_2),K)))).
% 114.84/113.71  all N_1 exists P_4 (hBOOL(hAPP_nat_bool(prime,P_4))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),P_4))).
% 114.84/113.71  all P_1 A0 (hBOOL(hAPP_int_bool(accp_int(quickc1265749348ro_rel),A0))-> ((all 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)))).
% 114.84/113.71  all R_3 A_2 N_1 (hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,rcis(R_3,A_2)),N_1)=rcis(hAPP_nat_real(hAPP_r474017924t_real(power_power_real,R_3),N_1),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N_1)),A_2))).
% 114.84/113.71  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)).
% 114.84/113.71  all M_1 N_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,M_1),N_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(fact_fact_int,M_1)),hAPP_int_int(fact_fact_int,N_1)))).
% 114.84/113.71  hAPP_int_int(fact_fact_int,one_one_int)=one_one_int.
% 114.84/113.71  all M_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,M_1),zero_zero_int))->hAPP_int_int(fact_fact_int,M_1)=zero_zero_int).
% 114.84/113.71  all N_1 M_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),M_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,M_1),N_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(fact_fact_int,M_1)),hAPP_int_int(fact_fact_int,N_1))))).
% 114.84/113.71  all M_1 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(fact_fact_int,M_1))).
% 114.84/113.71  all N_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),N_1))->hAPP_int_int(fact_fact_int,N_1)!=zero_zero_int).
% 114.84/113.71  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)))).
% 114.84/113.71  hAPP_int_int(fact_fact_int,zero_zero_int)=one_one_int.
% 114.84/113.71  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))).
% 114.84/113.71  all R_3 (rcis(R_3,zero_zero_real)=of_real_complex(R_3)).
% 114.84/113.71  all R_3 A_2 (hAPP_complex_real(norm_norm_complex,rcis(R_3,A_2))=hAPP_real_real(abs_abs_real,R_3)).
% 114.84/113.71  all A_2 (cis(A_2)=rcis(one_one_real,A_2)).
% 114.84/113.71  all A_2 (rcis(zero_zero_real,A_2)=zero_zero_complex).
% 114.84/113.71  all N_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),N_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(fact_fact_int,N_1)))).
% 114.84/113.71  all N_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),N_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),hAPP_int_int(fact_fact_int,N_1)))).
% 114.84/113.71  all M_1 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_1)),hAPP_int_int(fact_fact_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,M_1),K_2))))).
% 114.84/113.71  all N_1 M_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),M_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,M_1),N_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,M_1),hAPP_int_int(fact_fact_int,N_1))))).
% 114.84/113.71  all R_3 A_2 (hAPP_complex_real(re,rcis(R_3,A_2))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,R_3),hAPP_real_real(cos,A_2))).
% 114.84/113.71  all R_3 A_2 (hAPP_complex_real(im,rcis(R_3,A_2))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,R_3),hAPP_real_real(sin,A_2))).
% 114.84/113.71  all R1 A_2 R2 B_1 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,rcis(R1,A_2)),rcis(R2,B_1))=rcis(hAPP_real_real(hAPP_r1250527377l_real(times_times_real,R1),R2),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_2),B_1))).
% 114.84/113.71  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))).
% 114.84/113.71  all R1 A_2 R2 B_1 (hAPP_complex_complex(hAPP_c172932010omplex(invers1025623611omplex,rcis(R1,A_2)),rcis(R2,B_1))=rcis(hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,R1),R2),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,A_2),B_1))).
% 114.84/113.71  all R_3 A_2 (rcis(R_3,A_2)=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,of_real_complex(R_3)),cis(A_2))).
% 114.84/113.71  all M_1 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_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(fact_fact_int,M_1)),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_1),one_one_int)),K_2)))))).
% 114.84/113.71  all N_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),N_1))->hAPP_int_int(fact_fact_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,N_1),one_one_int))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,N_1),one_one_int)),hAPP_int_int(fact_fact_int,N_1))).
% 114.84/113.71  all N_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),N_1))->hAPP_int_int(fact_fact_int,N_1)=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,N_1),hAPP_int_int(fact_fact_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,N_1),one_one_int)))).
% 114.84/113.71  all R_3 A_2 (hAPP_complex_complex(invers1449016382omplex,rcis(R_3,A_2))=rcis(hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,one_one_real),R_3),hAPP_real_real(uminus_uminus_real,A_2))).
% 114.84/113.71  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)).
% 114.84/113.71  all Aa Pa (hBOOL(hAPP_int_bool(zprime,Pa))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),Pa))->hAPP_f957591787ol_nat(finite_card_int,hAPP_i1948725293t_bool(bnorRset(Aa),Pa))=hAPP_int_nat(nat,Aa))).
% 114.84/113.71  all Ba Aa M (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Ba),hAPP_i1948725293t_bool(bnorRset(Aa),M)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Ba),Aa))).
% 114.84/113.71  all M Aa Ba (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),Ba))-> -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Ba),hAPP_i1948725293t_bool(bnorRset(Aa),M)))).
% 114.84/113.71  all Aa M hBOOL(hAPP_f448129468l_bool(finite_finite_int,hAPP_i1948725293t_bool(bnorRset(Aa),M))).
% 114.84/113.71  all Ba Aa M (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Ba),hAPP_i1948725293t_bool(bnorRset(Aa),M)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Ba))).
% 114.84/113.71  all Aa Ba P_1 ((all A_1 B_3 C_3 (hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,A_1),B_3)))&hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,B_3),C_3)))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_1),B_3))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_3),C_3))->hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,A_1),C_3)))))-> ((all X_2 exists D_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D_2))& (all A_1 B_3 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_1),X_2))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_2),B_3))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,B_3),A_1)),D_2))->hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,A_1),B_3)))))))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba))->hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,Aa),Ba)))))).
% 114.84/113.71  all P_1 ((all A_1 B_3 C_3 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_1),B_3))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_3),C_3))&hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,A_1),B_3)))&hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,B_3),C_3)))->hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,A_1),C_3)))))& (all X_2 exists D_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D_2))& (all A_1 B_3 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_1),X_2))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_2),B_3))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,B_3),A_1)),D_2))->hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,A_1),B_3)))))))-> (all A_1 B_3 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_1),B_3))->hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,A_1),B_3)))))).
% 114.84/113.71  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))).
% 114.84/113.71  all M_1 N_1 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,M_1),N_1)),N_1)).
% 114.84/113.71  all M_1 N_1 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,M_1),N_1)),M_1)).
% 114.84/113.71  all M_1 N_1 K_2 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,M_1),N_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_2),N_1))).
% 114.84/113.71  all N_1 M_1 A_2 B_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_2),B_1)=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_2),N_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,B_1),M_1))=one_one_nat).
% 114.84/113.71  all A_2 B_1 (B_1!=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_2),B_1)),B_1))).
% 114.84/113.71  all B_1 A_2 (A_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_2),B_1)),A_2))).
% 114.84/113.71  all M_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,M_1),hAPP_nat_nat(suc,zero_zero_nat))=hAPP_nat_nat(suc,zero_zero_nat)).
% 114.84/113.71  all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,M),N)))<->M!=zero_zero_nat|N!=zero_zero_nat).
% 114.84/113.71  all A_2 N_1 B_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_2),N_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,B_1),N_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_2),B_1)),N_1)).
% 114.84/113.71  all A_2 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_2),A_2)=A_2).
% 114.84/113.71  all X (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,X),X)=X).
% 114.84/113.71  all A_2 B_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_2),B_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,B_1),A_2)).
% 114.84/113.71  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)).
% 114.84/113.71  all A_2 B_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_2),B_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_2),B_1)).
% 114.84/113.71  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)).
% 114.84/113.71  all B_1 A_2 C_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,B_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_2),C_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,B_1),C_1))).
% 114.84/113.71  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))).
% 114.84/113.71  all A_2 B_1 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_2),B_1)),C_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,B_1),C_1))).
% 114.84/113.71  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))).
% 114.84/113.71  all K_2 M_1 N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,M_1),N_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_2),M_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_2),N_1))).
% 114.84/113.71  all M_1 N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N_1)),N_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,M_1),N_1)).
% 114.84/113.71  all M_1 N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,M_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,M_1),N_1)).
% 114.84/113.71  all A_2 B_1 X (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B_1),X))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),B_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_2),B_1)),X))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_2),B_1)))).
% 114.84/113.71  all B_1 A_2 X (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_2),X))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),A_2))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_2),B_1)),X))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_2),B_1)))).
% 114.84/113.71  all X A_2 B_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_2),B_1)))-> -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),A_2))-> -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),B_1)))).
% 114.84/113.71  all K_2 M_1 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,M_1),N_1)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_2),N_1))).
% 114.84/113.71  all K_2 M_1 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,M_1),N_1)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_2),M_1))).
% 114.84/113.71  all B_1 D_3 A_2 C_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_2),C_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B_1),D_3))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_2),B_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,C_1),D_3))))).
% 114.84/113.71  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))))).
% 114.84/113.71  all B_1 X A_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),A_2))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),B_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_2),B_1))))).
% 114.84/113.71  all N_1 K_2 M_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_2),M_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_2),N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,M_1),N_1))))).
% 114.84/113.71  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).
% 114.84/113.71  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).
% 114.84/113.71  all A_2 B_1 X (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B_1),X))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_2),B_1)),X))).
% 114.84/113.71  all B_1 A_2 X (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_2),X))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_2),B_1)),X))).
% 114.84/113.71  all Ba D Aa (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D),Aa))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D),Ba))& (all E (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,E),Aa))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,E),Ba))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,E),D))))<->D=hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,Aa),Ba)).
% 114.84/113.71  all X_1 Y_2 Z_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,Y_2),Z_2)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Y_2))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Z_2))).
% 114.84/113.71  all K_1 M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,M),N)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_1),M))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_1),N))).
% 114.84/113.71  all X_1 Y_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Y_2))<->hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,X_1),Y_2)=X_1).
% 114.84/113.71  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)).
% 114.84/113.71  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)).
% 114.84/113.71  all X (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,one_one_nat),X)=one_one_nat).
% 114.84/113.71  all M_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,M_1),one_one_nat)=one_one_nat).
% 114.84/113.71  all X (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,X),one_one_nat)=one_one_nat).
% 114.84/113.71  all X_1 Y_2 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,X_1),Y_2)=zero_zero_nat<->X_1=zero_zero_nat&Y_2=zero_zero_nat).
% 114.84/113.71  all M N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,M),N)=zero_zero_nat<->M=zero_zero_nat&N=zero_zero_nat).
% 114.84/113.71  all X (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,X),zero_zero_nat)=X).
% 114.84/113.71  all X (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,zero_zero_nat),X)=X).
% 114.84/113.71  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))).
% 114.84/113.71  all N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,hAPP_nat_nat(suc,N_1)),N_1)=one_one_nat).
% 114.84/113.71  all M_1 K_2 N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,M_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_2),M_1)),N_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,M_1),N_1)).
% 114.84/113.71  all X A_2 B_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_2),B_1)=one_one_nat-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),A_2))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),B_1))->X=one_one_nat))).
% 114.84/113.71  all Aa Ba (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,Aa),Ba)=one_one_nat<-> (all D_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D_2),Aa))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D_2),Ba))<->D_2=one_one_nat))).
% 114.84/113.71  all N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_1),one_one_nat)),N_1)=one_one_nat).
% 114.84/113.71  all D_3 A_2 B_1 (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_2),B_1))=one_one_nat->hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,D_3),B_1)=one_one_nat).
% 114.84/113.71  all D_3 A_2 B_1 (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_2),B_1))=one_one_nat->hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,D_3),A_2)=one_one_nat).
% 114.84/113.71  all Ba C Aa D (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,Aa),D)=one_one_nat-> (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,Ba),C)=one_one_nat-> (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Aa),C)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Ba),D)<->Aa=Ba&C=D))).
% 114.84/113.71  all B_1 D_3 A_2 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,D_3),A_2)=one_one_nat-> (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,D_3),B_1)=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_2),B_1))=one_one_nat)).
% 114.84/113.71  all M_1 K_2 N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,K_2),N_1)=one_one_nat->hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_2),M_1)),N_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,M_1),N_1)).
% 114.84/113.71  all D Aa Ba (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,D),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Aa),Ba))=one_one_nat<->hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,D),Aa)=one_one_nat&hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,D),Ba)=one_one_nat).
% 114.84/113.71  all N_1 M_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),M_1))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N_1)),N_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,M_1),N_1)).
% 114.84/113.71  all M_1 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_1),M_1)),N_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,M_1),N_1)).
% 114.84/113.71  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)))).
% 114.84/113.71  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))).
% 114.84/113.71  all N_1 D_3 A_2 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,D_3),A_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(power_power_nat,A_2),N_1))=one_one_nat).
% 114.84/113.71  all B_4 A_4 A_2 B_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_2),B_1)!=zero_zero_nat-> (A_2=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_2),B_1))-> (B_1=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_4),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_2),B_1))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_4),B_4)=one_one_nat))).
% 114.84/113.71  all N_1 (N_1!=zero_zero_nat->hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_1),one_one_nat)),N_1)=one_one_nat).
% 114.84/113.71  all N_1 M_1 R_3 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,M_1),R_3))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,N_1),R_3))-> (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,M_1),N_1)=one_one_nat->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),N_1)),R_3))))).
% 114.84/113.71  all M K_1 N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,K_1),N)=one_one_nat-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),N)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_1),M)))).
% 114.84/113.71  all M_1 K_2 N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,K_2),N_1)=one_one_nat-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),N_1)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_2),M_1)))).
% 114.84/113.71  all B_1 A_2 (A_2!=zero_zero_nat|B_1!=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_2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_2),B_1))),hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,B_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_2),B_1)))=one_one_nat).
% 114.84/113.71  all X Y M_1 (hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,X),Y)),M_1)=one_one_nat->hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,X),M_1)=one_one_nat).
% 114.84/113.71  all Aa Ba (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,Aa),Ba)=one_one_nat<-> (all D_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D_2),Aa))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D_2),Ba))<->D_2=hAPP_nat_nat(suc,zero_zero_nat)))).
% 114.84/113.71  all A_2 B_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_2),B_1)!=zero_zero_nat-> (exists A_3 B_2 (A_2=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_3),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_2),B_1))&B_1=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_2),B_1))&hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_3),B_2)=one_one_nat))).
% 114.84/113.71  all B_1 A_2 (A_2!=zero_zero_nat-> (exists X_2 Y_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_2),X_2)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_1),Y_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_2),B_1))))).
% 114.84/113.71  all X_3 (hBOOL(cauchy_real(X_3))<-> (all J_1 exists M_4 all M_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_4),M_2))-> (all N_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_4),N_2))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_nat_real(X_3,M_2)),hAPP_nat_real(X_3,N_2)))),hAPP_real_real(inverse_inverse_real,hAPP_nat_real(real_nat,hAPP_nat_nat(suc,J_1)))))))))).
% 114.84/113.71  all A_2 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_2))->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_2)),A_2))))).
% 114.84/113.71  all A_2 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_2))->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_2)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(powr,A_2),A_2)),X))))).
% 114.84/113.71  all A_2 (hAPP_real_real(hAPP_r1250527377l_real(powr,one_one_real),A_2)=one_one_real).
% 114.84/113.71  all X A_2 (hAPP_real_real(hAPP_r1250527377l_real(powr,X),A_2)!=zero_zero_real).
% 114.84/113.71  all X A_2 B_1 (hAPP_real_real(hAPP_r1250527377l_real(powr,hAPP_real_real(hAPP_r1250527377l_real(powr,X),A_2)),B_1)=hAPP_real_real(hAPP_r1250527377l_real(powr,hAPP_real_real(hAPP_r1250527377l_real(powr,X),B_1)),A_2)).
% 114.84/113.71  all X A_2 B_1 (hAPP_real_real(hAPP_r1250527377l_real(powr,hAPP_real_real(hAPP_r1250527377l_real(powr,X),A_2)),B_1)=hAPP_real_real(hAPP_r1250527377l_real(powr,X),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_2),B_1))).
% 114.84/113.71  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))).
% 114.84/113.71  all Y X A_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_2),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_2)),hAPP_real_real(hAPP_r1250527377l_real(powr,X),A_2)))))).
% 114.84/113.71  all Y X A_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_2))-> (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_2)),hAPP_real_real(hAPP_r1250527377l_real(powr,Y),A_2)))))).
% 114.84/113.71  all X A_2 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(powr,X),A_2))).
% 114.84/113.71  all X A_2 B_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_2),B_1))-> (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_2)),hAPP_real_real(hAPP_r1250527377l_real(powr,X),B_1))))).
% 114.84/113.71  all X (hAPP_real_real(hAPP_r1250527377l_real(powr,X),zero_zero_real)=one_one_real).
% 114.84/113.71  all X A_2 B_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(powr,X),A_2)),hAPP_real_real(hAPP_r1250527377l_real(powr,X),B_1)))-> (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_2),B_1)))).
% 114.84/113.71  all X A_2 B_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_2),B_1))-> (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_2)),hAPP_real_real(hAPP_r1250527377l_real(powr,X),B_1))))).
% 114.84/113.71  all Aa Ba X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(powr,X_1),Aa)),hAPP_real_real(hAPP_r1250527377l_real(powr,X_1),Ba)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba)))).
% 114.84/113.71  all X A_2 B_1 (hAPP_real_real(hAPP_r1250527377l_real(powr,X),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_2),B_1))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(powr,X),A_2)),hAPP_real_real(hAPP_r1250527377l_real(powr,X),B_1))).
% 114.84/113.71  all X A_2 B_1 (hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_r1250527377l_real(powr,X),A_2)),hAPP_real_real(hAPP_r1250527377l_real(powr,X),B_1))=hAPP_real_real(hAPP_r1250527377l_real(powr,X),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,A_2),B_1))).
% 114.84/113.71  all X A_2 (hAPP_real_real(hAPP_r1250527377l_real(powr,X),hAPP_real_real(uminus_uminus_real,A_2))=hAPP_real_real(inverse_inverse_real,hAPP_real_real(hAPP_r1250527377l_real(powr,X),A_2))).
% 114.84/113.71  all Y X A_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_2))-> (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_2)),hAPP_real_real(hAPP_r1250527377l_real(powr,Y),A_2)))))).
% 114.84/113.71  all A_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_real,zero_zero_real),Y))->hAPP_real_real(hAPP_r1250527377l_real(powr,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X),Y)),A_2)=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(powr,X),A_2)),hAPP_real_real(hAPP_r1250527377l_real(powr,Y),A_2)))).
% 114.84/113.71  all A_2 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_2))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),hAPP_real_real(hAPP_r1250527377l_real(powr,X),A_2))))).
% 114.84/113.71  all Aa Ba X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(powr,X_1),Aa)),hAPP_real_real(hAPP_r1250527377l_real(powr,X_1),Ba)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba)))).
% 114.84/113.71  all X_1 (hAPP_real_real(hAPP_r1250527377l_real(powr,X_1),one_one_real)=X_1<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))).
% 114.84/113.71  all A_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_real,zero_zero_real),Y))->hAPP_real_real(hAPP_r1250527377l_real(powr,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,X),Y)),A_2)=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_r1250527377l_real(powr,X),A_2)),hAPP_real_real(hAPP_r1250527377l_real(powr,Y),A_2)))).
% 114.84/113.71  all X A_2 (hAPP_real_real(hAPP_r1250527377l_real(powr,X),hAPP_real_real(uminus_uminus_real,A_2))=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,one_one_real),hAPP_real_real(hAPP_r1250527377l_real(powr,X),A_2))).
% 114.84/113.71  all X A_2 (hAPP_real_real(hAPP_r1250527377l_real(powr,X),A_2)=hAPP_real_real(exp_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_2),hAPP_real_real(ln,X)))).
% 114.84/113.71  all N_1 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_1))=hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X),N_1)).
% 114.84/113.71  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)))).
% 114.84/113.71  all Y A_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_2))-> (A_2!=one_one_real->hAPP_real_real(log(A_2),hAPP_real_real(hAPP_r1250527377l_real(powr,A_2),Y))=Y)).
% 114.84/113.71  all X A_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_2))-> (A_2!=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_2),hAPP_real_real(log(A_2),X))=X))).
% 114.84/113.71  all B_1 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_1),hAPP_real_real(hAPP_r1250527377l_real(powr,X),Y))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Y),hAPP_real_real(log(B_1),X)))).
% 114.84/113.71  all N_1 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_1))-> (X=zero_zero_real->hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X),N_1)=zero_zero_real)& (X!=zero_zero_real->hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X),N_1)=hAPP_real_real(hAPP_r1250527377l_real(powr,X),hAPP_nat_real(real_nat,N_1))))).
% 114.84/113.71  all C_1 N_1 A_2 B_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,A_2),B_1))-> (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_2),B_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,C_1),N_1)-> (exists R_1 S_3 (A_2=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,R_1),N_1)&B_1=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,S_3),N_1))))).
% 114.84/113.71  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))))).
% 114.84/113.71  all X M_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),M_1))-> (hAPP_int_int(legacy_zgcd(X),M_1)=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_1))),one_one_int),M_1)))).
% 114.84/113.71  all I J_2 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(legacy_zgcd(I),J_2)),J_2)).
% 114.84/113.71  all I J_2 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(legacy_zgcd(I),J_2)),I)).
% 114.84/113.71  all K_2 M_1 N_1 (hAPP_int_int(legacy_zgcd(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_2),M_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_2),N_1))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(abs_abs_int,K_2)),hAPP_int_int(legacy_zgcd(M_1),N_1))).
% 114.84/113.71  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))).
% 114.84/113.71  all M_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),M_1))->hAPP_int_int(legacy_zgcd(M_1),M_1)=M_1).
% 114.84/113.71  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))).
% 114.84/113.71  all M_1 (hAPP_int_int(legacy_zgcd(M_1),zero_zero_int)=hAPP_int_int(abs_abs_int,M_1)).
% 114.84/113.71  all M_1 (hAPP_int_int(legacy_zgcd(zero_zero_int),M_1)=hAPP_int_int(abs_abs_int,M_1)).
% 114.84/113.71  all M_1 N_1 K_2 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(legacy_zgcd(M_1),N_1)),hAPP_int_int(legacy_zgcd(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_2),M_1)),N_1))).
% 114.84/113.71  all N_1 A_2 B_1 (hAPP_int_int(legacy_zgcd(A_2),B_1)=one_one_int->hAPP_int_int(legacy_zgcd(hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_2),N_1)),B_1)=one_one_int).
% 114.84/113.71  all N_1 A_2 B_1 (hAPP_int_int(legacy_zgcd(A_2),B_1)=one_one_int->hAPP_int_int(legacy_zgcd(hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_2),N_1)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,B_1),N_1))=one_one_int).
% 114.84/113.71  all A_2 B_1 N_1 (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(legacy_zgcd(A_2),B_1)),N_1)=hAPP_int_int(legacy_zgcd(hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_2),N_1)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,B_1),N_1))).
% 114.84/113.71  all I J_2 (hAPP_int_int(legacy_zgcd(I),J_2)=hAPP_int_int(legacy_zgcd(J_2),I)).
% 114.84/113.71  all K_2 M_1 N_1 (hAPP_int_int(legacy_zgcd(K_2),hAPP_int_int(legacy_zgcd(M_1),N_1))=hAPP_int_int(legacy_zgcd(M_1),hAPP_int_int(legacy_zgcd(K_2),N_1))).
% 114.84/113.71  all K_2 M_1 N_1 (hAPP_int_int(legacy_zgcd(hAPP_int_int(legacy_zgcd(K_2),M_1)),N_1)=hAPP_int_int(legacy_zgcd(K_2),hAPP_int_int(legacy_zgcd(M_1),N_1))).
% 114.84/113.71  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)).
% 114.84/113.71  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)).
% 114.84/113.71  all M_1 N_1 K_2 (hAPP_int_int(legacy_zgcd(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,M_1),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,N_1),K_2))),N_1)=hAPP_int_int(legacy_zgcd(M_1),N_1)).
% 114.84/113.71  all N_1 K_2 M_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_2),M_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_2),N_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_2),hAPP_int_int(legacy_zgcd(M_1),N_1))))).
% 114.84/113.71  all K_1 M N (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_1),hAPP_int_int(legacy_zgcd(M),N)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_1),M))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_1),N))).
% 114.84/113.71  all N_1 K_2 M_1 (hAPP_int_int(legacy_zgcd(K_2),M_1)=one_one_int-> (hAPP_int_int(legacy_zgcd(N_1),M_1)=one_one_int->hAPP_int_int(legacy_zgcd(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_2),N_1)),M_1)=one_one_int)).
% 114.84/113.71  all M_1 K_2 N_1 (hAPP_int_int(legacy_zgcd(K_2),N_1)=one_one_int->hAPP_int_int(legacy_zgcd(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_2),M_1)),N_1)=hAPP_int_int(legacy_zgcd(M_1),N_1)).
% 114.84/113.71  all M_1 (hAPP_int_int(legacy_zgcd(M_1),one_one_int)=one_one_int).
% 114.84/113.71  all M_1 (hAPP_int_int(legacy_zgcd(one_one_int),M_1)=one_one_int).
% 114.84/113.71  all I_1 J (hAPP_int_int(legacy_zgcd(I_1),J)=zero_zero_int<->I_1=zero_zero_int&J=zero_zero_int).
% 114.84/113.71  all M_1 N_1 (hAPP_int_int(legacy_zgcd(M_1),N_1)=hAPP_int_int(legacy_zgcd(N_1),hAPP_int_int(div_mod_int(M_1),N_1))).
% 114.84/113.71  all N_1 K_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),K_2))->hAPP_int_int(legacy_zgcd(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_2),N_1)),K_2)=K_2).
% 114.84/113.71  all M_1 N_1 K_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),K_2))->hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_2),hAPP_int_int(legacy_zgcd(M_1),N_1))=hAPP_int_int(legacy_zgcd(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_2),M_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_2),N_1))).
% 114.84/113.71  all N_1 K_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),K_2))->hAPP_int_int(legacy_zgcd(K_2),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_2),N_1))=K_2).
% 114.84/113.71  all N 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),N))<->hAPP_int_int(legacy_zgcd(N),M)=M)).
% 114.84/113.71  all M_1 N_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),N_1))->hAPP_int_int(legacy_zgcd(M_1),N_1)=hAPP_int_int(legacy_zgcd(N_1),hAPP_int_int(div_mod_int(M_1),N_1))).
% 114.84/113.71  all B_1 A_2 (A_2!=zero_zero_int|B_1!=zero_zero_int->hAPP_int_int(legacy_zgcd(hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_2),hAPP_int_int(legacy_zgcd(A_2),B_1))),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,B_1),hAPP_int_int(legacy_zgcd(A_2),B_1)))=one_one_int).
% 114.84/113.71  all N_1 A_2 B_1 M_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_2),B_1),M_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_2),B_1),N_1))-> (hAPP_int_int(legacy_zgcd(M_1),N_1)=one_one_int->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_2),B_1),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,M_1),N_1)))))).
% 114.84/113.71  all M (hAPP_int_int(legacy_zgcd(zero_zero_int),M)=one_one_int<->hAPP_int_int(abs_abs_int,M)=one_one_int).
% 114.84/113.71  all M_1 K_2 N_1 (hAPP_int_int(legacy_zgcd(K_2),N_1)=one_one_int->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(legacy_zgcd(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_2),M_1)),N_1)),hAPP_int_int(legacy_zgcd(M_1),N_1)))).
% 114.84/113.71  all M_1 N_1 K_2 (hAPP_int_int(legacy_zgcd(N_1),K_2)=one_one_int-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_2),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,M_1),N_1)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_2),M_1)))).
% 114.84/113.71  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)))).
% 114.84/113.71  all K_1 L (hAPP_int_int(legacy_zgcd(K_1),L)=hAPP_int_int(abs_abs_int,hAPP_int_int(hAPP_int_fun_int_int(hAPP_b1463609396nt_int(if_int,hAPP_int_bool(hAPP_i1948725293t_bool(fe_qual_int,L),zero_zero_int)),K_1),hAPP_int_int(legacy_zgcd(L),hAPP_int_int(div_mod_int(hAPP_int_int(abs_abs_int,K_1)),hAPP_int_int(abs_abs_int,L)))))).
% 114.84/113.71  all N_1 P_3 (hBOOL(hAPP_int_bool(zprime,P_3))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_3),N_1))->hAPP_int_int(legacy_zgcd(N_1),P_3)=one_one_int)).
% 114.84/113.71  all Aa Ba (hAPP_int_int(legacy_zgcd(Aa),Ba)=one_one_int<-> -(exists P_4 (hBOOL(hAPP_int_bool(zprime,P_4))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_4),Aa))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_4),Ba))))).
% 114.84/113.71  all B_1 A_2 M_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),M_1))-> (hAPP_int_int(legacy_zgcd(A_2),M_1)=one_one_int-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_2),B_1),M_1))->hAPP_int_int(legacy_zgcd(B_1),M_1)=one_one_int))).
% 114.84/113.71  all N_1 P_3 (hBOOL(hAPP_int_bool(zprime,P_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),N_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,N_1),P_3))->hAPP_int_int(legacy_zgcd(N_1),P_3)=one_one_int))).
% 114.84/113.71  all Aa Ba K_1 M (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),M))-> (hAPP_int_int(legacy_zgcd(K_1),M)=one_one_int-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),Aa)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),Ba)),M))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Aa),Ba),M))))).
% 114.84/113.71  all Aa Ba K_1 M (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),M))-> (hAPP_int_int(legacy_zgcd(K_1),M)=one_one_int-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Aa),K_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Ba),K_1)),M))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Aa),Ba),M))))).
% 114.84/113.71  all M_1 N_1 K_2 (hAPP_int_int(legacy_zgcd(N_1),K_2)=one_one_int-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_2),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,M_1),N_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,K_2),M_1))))).
% 114.84/113.71  all Aa Ba M (hAPP_int_int(legacy_zgcd(Ba),M)=one_one_int-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Ba))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Ba),Aa))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Ba),hAPP_i1948725293t_bool(bnorRset(Aa),M)))))).
% 114.84/113.71  all Aa Ba C X_1 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Aa),Ba)=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,C),hAPP_int_nat(nat,X_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),hAPP_int_nat(nat,X_1)))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),zOdd))-> (hAPP_int_int(legacy_zgcd(Aa),Ba)=one_one_int-> (exists K (Aa=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,K),hAPP_int_nat(nat,X_1)))))))).
% 114.84/113.71  all M K_1 N (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),N))-> (hAPP_int_int(legacy_zgcd(M),N)=K_1<-> (exists S_3 T_1 (xzgcd(M,N)=hAPP_P408881810nt_int(hAPP_i1730167831nt_int(produc282740534nt_int,K_1),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,S_3),T_1)))))).
% 114.84/113.71  all A_2 B_1 C_1 N_1 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_2),B_1)=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,C_1),N_1)-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),N_1))-> (hAPP_int_int(legacy_zgcd(A_2),B_1)=one_one_int-> (exists K (hAPP_int_int(abs_abs_int,A_2)=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,K),N_1)))))).
% 114.84/113.71  all M_1 N_1 R_5 R_3 S_4 S_2 T_3 T_2 K_2 ((exists Sn Tn (xzgcda(M_1,N_1,R_5,R_3,S_4,S_2,T_3,T_2)=hAPP_P408881810nt_int(hAPP_i1730167831nt_int(produc282740534nt_int,K_2),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Sn),Tn))))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),R_3))->hAPP_int_int(legacy_zgcd(R_5),R_3)=K_2)).
% 114.84/113.71  all B_1 A_2 N_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),N_1))-> (hAPP_int_int(legacy_zgcd(A_2),N_1)=one_one_int-> (exists X_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_2))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_2),N_1))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_2),X_2)),B_1),N_1))& (all 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_1))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_2),Y_1)),B_1),N_1))->Y_1=X_2)))))).
% 114.84/113.71  all A_2 N_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),N_1))-> (hAPP_int_int(legacy_zgcd(A_2),N_1)=one_one_int-> (exists X_2 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_2),X_2)),one_one_int),N_1))))).
% 114.84/113.71  all M_1 N_1 S_4 S_2 T_3 T_2 R_5 R_3 K_2 (hAPP_int_int(legacy_zgcd(R_5),R_3)=K_2-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),R_3))-> (exists Sn Tn (xzgcda(M_1,N_1,R_5,R_3,S_4,S_2,T_3,T_2)=hAPP_P408881810nt_int(hAPP_i1730167831nt_int(produc282740534nt_int,K_2),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Sn),Tn)))))).
% 114.84/113.71  all Aa Ba C D X_1 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Aa),Ba)),C)=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,D),hAPP_int_nat(nat,X_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),hAPP_int_nat(nat,X_1)))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),zOdd))-> (hAPP_int_int(legacy_zgcd(Aa),Ba)=one_one_int-> (hAPP_int_int(legacy_zgcd(Ba),C)=one_one_int-> (hAPP_int_int(legacy_zgcd(C),Aa)=one_one_int-> (exists K L_1 M_2 (Aa=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,K),hAPP_int_nat(nat,X_1))&Ba=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,L_1),hAPP_int_nat(nat,X_1))&C=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,M_2),hAPP_int_nat(nat,X_1)))))))))).
% 114.84/113.71  all M_1 K_2 N_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),N_1))-> (hAPP_int_int(legacy_zgcd(M_1),N_1)=K_2-> (exists S_3 T_1 (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_3),M_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,T_1),N_1)))))).
% 114.84/113.71  all A_2 B_1 C_1 D_3 N_1 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_2),B_1)),C_1)=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,D_3),N_1)-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),N_1))-> (hAPP_int_int(legacy_zgcd(A_2),B_1)=one_one_int-> (hAPP_int_int(legacy_zgcd(B_1),C_1)=one_one_int-> (hAPP_int_int(legacy_zgcd(C_1),A_2)=one_one_int-> (exists K L_1 M_2 (hAPP_int_int(abs_abs_int,A_2)=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,K),N_1)&hAPP_int_int(abs_abs_int,B_1)=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,L_1),N_1)&hAPP_int_int(abs_abs_int,C_1)=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,M_2),N_1)))))))).
% 114.84/113.71  all B_1 A_2 (A_2!=zero_zero_int|B_1!=zero_zero_int-> (exists C_3 D_2 (A_2=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(legacy_zgcd(A_2),B_1)),C_3)&B_1=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(legacy_zgcd(A_2),B_1)),D_2)&hAPP_int_int(legacy_zgcd(C_3),D_2)=one_one_int))).
% 114.84/113.71  all Y X exists R_1 A_1 (X=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,R_1),hAPP_real_real(cos,A_1))&Y=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,R_1),hAPP_real_real(sin,A_1))).
% 114.84/113.71  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))).
% 114.84/113.72  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))).
% 114.84/113.72  all Z_2 P_1 ((all N_2 hBOOL(hAPP_int_bool(P_1,hAPP_nat_int(semiri1621563631at_int,N_2))))-> ((all N_2 hBOOL(hAPP_int_bool(P_1,hAPP_int_int(uminus_uminus_int,hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(suc,N_2))))))->hBOOL(hAPP_int_bool(P_1,Z_2)))).
% 114.84/113.72  all Z_1 ((all N_2 (Z_1!=hAPP_nat_int(semiri1621563631at_int,N_2)))-> -(all N_2 (Z_1!=hAPP_int_int(uminus_uminus_int,hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(suc,N_2)))))).
% 114.84/113.72  all F Aa Ba (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba))-> ((all X_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),X_2))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_2),Ba))-> (exists Y_1 (hBOOL(hAPP_real_bool(deriv_real(F,X_2),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,Aa)),hAPP_real_real(F,Ba))))).
% 114.84/113.72  all F Aa Ba (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba))-> ((all X_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),X_2))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_2),Ba))-> (exists Y_1 (hBOOL(hAPP_real_bool(deriv_real(F,X_2),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,Ba)),hAPP_real_real(F,Aa))))).
% 114.84/113.72  all M N P_1 ((all M_2 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_1,M_2),zero_zero_nat)))-> ((all M_2 N_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_2))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_1,N_2),hAPP_nat_nat(div_mod_nat(M_2),N_2)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_1,M_2),N_2)))))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_1,M),N)))).
% 114.84/113.72  all N_1 P_3 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,one_one_nat),P_3))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,P_3),N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,P_3),hAPP_nat_nat(fact,N_1))))).
% 114.84/113.72  all N_1 M_1 (hAPP_Q1762011733de_int(div_mo231679042de_int(N_1),M_1)=hAPP_i1732201573de_int(quickcheck_of_int,hAPP_int_int(div_mod_int(quickcheck_int_of(N_1)),quickcheck_int_of(M_1)))).
% 114.84/113.72  all N M (hAPP_i1732201573de_int(quickcheck_of_int,N)=hAPP_i1732201573de_int(quickcheck_of_int,M)<->N=M).
% 114.84/113.72  all X (hAPP_i1732201573de_int(quickcheck_of_int,quickcheck_int_of(X))=X).
% 114.84/113.72  all K_2 (hAPP_i1732201573de_int(quickcheck_of_int,quickcheck_int_of(K_2))=K_2).
% 114.84/113.72  all N_1 (quickcheck_int_of(hAPP_i1732201573de_int(quickcheck_of_int,N_1))=N_1).
% 114.84/113.72  number1226105091de_int=quickcheck_of_int.
% 114.84/113.72  all M_1 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(fact,M_1)),hAPP_nat_nat(fact,N_1)))).
% 114.84/113.72  all N_1 M_1 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,N_1),M_1)=hAPP_i1732201573de_int(quickcheck_of_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,quickcheck_int_of(N_1)),quickcheck_int_of(M_1)))).
% 114.84/113.72  all N_1 M_1 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,N_1),M_1)=hAPP_i1732201573de_int(quickcheck_of_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,quickcheck_int_of(N_1)),quickcheck_int_of(M_1)))).
% 114.84/113.72  all N_1 M_1 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(minus_534354567de_int,N_1),M_1)=hAPP_i1732201573de_int(quickcheck_of_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,quickcheck_int_of(N_1)),quickcheck_int_of(M_1)))).
% 114.84/113.72  zero_z891286103de_int=hAPP_i1732201573de_int(quickcheck_of_int,zero_zero_int).
% 114.84/113.72  all N_1 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(fact,N_1))).
% 114.84/113.72  hAPP_nat_nat(fact,zero_zero_nat)=one_one_nat.
% 114.84/113.72  all N_1 (hAPP_nat_nat(fact,hAPP_nat_nat(suc,N_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,N_1)),hAPP_nat_nat(fact,N_1))).
% 114.84/113.72  all N_1 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,one_one_nat),hAPP_nat_nat(fact,N_1))).
% 114.84/113.72  one_on1684967323de_int=hAPP_i1732201573de_int(quickcheck_of_int,one_one_int).
% 114.84/113.72  all N_1 M_1 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,N_1),M_1)=hAPP_i1732201573de_int(quickcheck_of_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,quickcheck_int_of(N_1)),quickcheck_int_of(M_1)))).
% 114.84/113.72  all N_1 exists P_4 (hBOOL(hAPP_nat_bool(prime,P_4))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),P_4))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,P_4),hAPP_nat_nat(suc,hAPP_nat_nat(fact,N_1))))).
% 114.84/113.72  all F ((all I_2 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(F,hAPP_nat_nat(suc,I_2))),hAPP_nat_nat(F,I_2))))-> (exists I_2 all K (hAPP_nat_nat(F,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_2),K))=hAPP_nat_nat(F,I_2)))).
% 114.84/113.72  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_1 B_3 (hBOOL(hAPP_P603027463t_bool(accp_P2006205492nt_int(norm_frac_rel),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,A_1),B_3)))-> ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_3),zero_zero_int))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(P_1,hAPP_int_int(uminus_uminus_int,A_1)),hAPP_int_int(uminus_uminus_int,B_3))))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(P_1,A_1),B_3)))))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(P_1,A0),A1)))).
% 114.84/113.72  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 (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)))).
% 114.84/113.72  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 (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)))).
% 114.84/113.72  all M (hAPP_i1948725293t_bool(norRRset,M)=hAPP_i1948725293t_bool(bnorRset(hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,M),one_one_int)),M)).
% 114.84/113.72  all N_1 (hAPP_int_int(ring_1_of_int_int,hAPP_nat_int(semiri1621563631at_int,N_1))=hAPP_nat_int(semiri1621563631at_int,N_1)).
% 114.84/113.72  real_int=ring_1_of_int_real.
% 114.84/113.72  real_int=ring_1_of_int_real.
% 114.84/113.72  all Z_1 (hAPP_complex_complex(cnj,hAPP_int_complex(ring_11397209091omplex,Z_1))=hAPP_int_complex(ring_11397209091omplex,Z_1)).
% 114.84/113.72  all Z_1 (hAPP_complex_real(re,hAPP_int_complex(ring_11397209091omplex,Z_1))=hAPP_int_real(ring_1_of_int_real,Z_1)).
% 114.84/113.72  all W (hAPP_int_complex(number528085621omplex,W)=hAPP_int_complex(ring_11397209091omplex,W)).
% 114.84/113.72  all W (hAPP_int_int(number_number_of_int,W)=hAPP_int_int(ring_1_of_int_int,W)).
% 114.84/113.72  all X (hAPP_int_real(number267125858f_real,X)=hAPP_int_real(ring_1_of_int_real,X)).
% 114.84/113.72  all Z_1 (hAPP_complex_real(im,hAPP_int_complex(ring_11397209091omplex,Z_1))=zero_zero_real).
% 114.84/113.72  all M (phi(M)=hAPP_f957591787ol_nat(finite_card_int,hAPP_i1948725293t_bool(norRRset,M))).
% 114.84/113.72  all Aa M (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),M))-> (hAPP_int_int(legacy_zgcd(Aa),M)=one_one_int-> (exists X_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Aa),X_2),M))&hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),hAPP_i1948725293t_bool(norRRset,M)))& (all Y_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Aa),Y_1),M))&hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Y_1),hAPP_i1948725293t_bool(norRRset,M)))->Y_1=X_2)))))).
% 114.84/113.72  all X_1 M (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),M))-> (hAPP_int_int(legacy_zgcd(X_1),M)=one_one_int->hAPP_f957591787ol_nat(finite_card_int,hAPP_i1948725293t_bool(noXRRset(M),X_1))=hAPP_f957591787ol_nat(finite_card_int,hAPP_i1948725293t_bool(norRRset,M)))).
% 114.84/113.72  all X_1 M (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),M))-> (hAPP_int_int(legacy_zgcd(X_1),M)=one_one_int->hBOOL(hAPP_int_bool(is_RRset(hAPP_i1948725293t_bool(noXRRset(M),X_1)),M)))).
% 114.84/113.72  all Aa A M (hBOOL(hAPP_int_bool(is_RRset(A),M))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Aa),A))->hAPP_int_int(legacy_zgcd(Aa),M)=one_one_int)).
% 114.84/113.72  all Aa Ba A M (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),M))-> (hBOOL(hAPP_int_bool(is_RRset(A),M))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Aa),Ba),M))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Aa),A))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Ba),A))->Aa=Ba))))).
% 114.84/113.72  all Aa A M (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),M))-> (hBOOL(hAPP_int_bool(is_RRset(A),M))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Aa),A))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Aa),hAPP_int_int(rRset2norRR(A,M),Aa)),M))&hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(rRset2norRR(A,M),Aa)),hAPP_i1948725293t_bool(norRRset,M)))))).
% 114.84/113.72  all Aa A M (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),M))-> (hBOOL(hAPP_int_bool(is_RRset(A),M))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Aa),A))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(rRset2norRR(A,M),Aa)),hAPP_i1948725293t_bool(norRRset,M)))))).
% 114.84/113.72  all Aa A M (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),M))-> (hBOOL(hAPP_int_bool(is_RRset(A),M))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Aa),A))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Aa),hAPP_int_int(rRset2norRR(A,M),Aa)),M))))).
% 114.84/113.72  all A M (hBOOL(hAPP_int_bool(is_RRset(A),M))<->hBOOL(hAPP_f215623910l_bool(hAPP_f628503027l_bool(member_fun_int_bool,A),rsetR(M)))&hAPP_f957591787ol_nat(finite_card_int,A)=phi(M)).
% 114.84/113.72  all A M (hBOOL(hAPP_f215623910l_bool(hAPP_f628503027l_bool(member_fun_int_bool,A),rsetR(M)))->hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))).
% 114.84/113.72  all Aa M (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),M))->hBOOL(hAPP_f215623910l_bool(hAPP_f628503027l_bool(member_fun_int_bool,hAPP_i1948725293t_bool(bnorRset(Aa),M)),rsetR(M)))).
% 114.84/113.72  all A M (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),M))-> (hBOOL(hAPP_int_bool(is_RRset(A),M))->image_int_int(rRset2norRR(A,M),A)=hAPP_i1948725293t_bool(norRRset,M))).
% 114.84/113.72  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))))).
% 114.84/113.72  all F A M (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),M))-> (hBOOL(hAPP_f448129468l_bool(resSet(M),A))-> ((all X_2 (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),A))-> (all Xa (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),A))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(F,X_2)),hAPP_int_int(F,Xa)),M))->X_2=Xa)))))->hBOOL(hAPP_f448129468l_bool(resSet(M),image_int_int(F,A)))))).
% 114.84/113.72  all A (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))<->hBOOL(hAPP_f448129468l_bool(finite_finite_int,image_nat_int(semiri1621563631at_int,A)))).
% 114.84/113.72  all A (hAPP_f22106695ol_nat(finite_card_nat,A)=hAPP_f957591787ol_nat(finite_card_int,image_nat_int(semiri1621563631at_int,A))).
% 114.84/113.72  all X_1 A (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))<->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_nat_int(semiri1621563631at_int,X_1)),image_nat_int(semiri1621563631at_int,A)))).
% 114.84/113.72  all A B (A=B<->image_nat_int(semiri1621563631at_int,A)=image_nat_int(semiri1621563631at_int,B)).
% 114.84/113.72  all A (image_int_nat(nat,image_nat_int(semiri1621563631at_int,A))=A).
% 114.84/113.72  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)))).
% 114.84/113.72  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)))).
% 114.84/113.72  all Aa Pa (setS(Aa,Pa)=image_275383677t_bool(multInvPair(Aa,Pa),hAPP_i1948725293t_bool(sRStar,Pa))).
% 114.84/113.72  all S (-hBOOL(hAPP_f54304608l_bool(finite_finite_nat,S))<-> (all M_2 exists N_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_2),N_2))&hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,N_2),S))))).
% 114.84/113.72  all S (-hBOOL(hAPP_f54304608l_bool(finite_finite_nat,S))<-> (all M_2 exists N_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_2),N_2))&hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,N_2),S))))).
% 114.84/113.72  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))).
% 114.84/113.72  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)))))).
% 114.84/113.72  all X Y (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,X),Y)=hAPP_nat_nat(nat_gcd(X),Y)).
% 114.84/113.72  all X_1 A (hBOOL(hAPP_f448129468l_bool(nat_nat_set,A))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1)))).
% 114.84/113.72  all S (hBOOL(hAPP_f448129468l_bool(nat_nat_set,S))<-> (all X_2 (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),S))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_2))))).
% 114.84/113.72  all C_2 hBOOL(hAPP_f448129468l_bool(nat_nat_set,image_nat_int(semiri1621563631at_int,C_2))).
% 114.84/113.72  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)))).
% 114.84/113.72  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)))).
% 114.84/113.72  all A (hBOOL(hAPP_f448129468l_bool(nat_nat_set,A))->image_nat_int(semiri1621563631at_int,image_int_nat(nat,A))=A).
% 114.84/113.72  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))))).
% 114.84/113.72  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))).
% 114.84/113.72  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)))))).
% 114.84/113.72  all X_1 Y_2 (hBOOL(hAPP_P1555980039t_bool(accp_P490777396at_nat(nat_gcd_rel),hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,X_1),Y_2)))-> (Y_2=zero_zero_nat->hAPP_nat_nat(nat_gcd(X_1),Y_2)=X_1)& (Y_2!=zero_zero_nat->hAPP_nat_nat(nat_gcd(X_1),Y_2)=hAPP_nat_nat(nat_gcd(Y_2),hAPP_nat_nat(div_mod_nat(X_1),Y_2)))).
% 114.84/113.72  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))))).
% 114.84/113.72  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_2 Y_1 (hBOOL(hAPP_P1555980039t_bool(accp_P490777396at_nat(nat_gcd_rel),hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,X_2),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_2),Y_1))))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_1,X_2),Y_1)))))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_1,A0),A1)))).
% 114.84/113.72  all N_4 (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,N_4))<-> (exists M_2 all X_2 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),N_4))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_2),M_2))))).
% 114.84/113.72  all N_4 (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,N_4))<-> (exists M_2 all X_2 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),N_4))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_2),M_2))))).
% 114.84/113.72  all N N_4 ((all X_2 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),N_4))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_2),N))))->hBOOL(hAPP_f54304608l_bool(finite_finite_nat,N_4))).
% 114.84/113.72  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)))).
% 114.84/113.72  all L U hBOOL(hAPP_f448129468l_bool(finite_finite_int,hAPP_i1948725293t_bool(ord_gr1297742076an_int(L),U))).
% 114.84/113.72  all X_1 (hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,X_1),field_1210416355s_real))-> -(all M_2 N_2 (N_2!=zero_zero_nat-> (hAPP_real_real(abs_abs_real,X_1)=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_nat_real(real_nat,M_2)),hAPP_nat_real(real_nat,N_2))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,M_2),N_2)!=one_one_nat)))).
% 114.84/113.72  all L U hBOOL(hAPP_f54304608l_bool(finite_finite_nat,hAPP_n1699378549t_bool(ord_gr660468384an_nat(L),U))).
% 114.84/113.72  all N hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,hAPP_nat_real(real_nat,N)),field_1210416355s_real)).
% 114.84/113.72  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))).
% 114.84/113.72  all Y_2 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),Y_2))-> (exists X_2 (hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,X_2),field_1210416355s_real))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),X_2))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_2),Y_2)))))).
% 114.84/113.72  all F Y_2 X_1 Aa Ba (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba))-> (hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,X_1),hAPP_r1134773055l_bool(ord_gr788844697n_real(Aa),Ba)))-> (hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,Y_2),hAPP_r1134773055l_bool(ord_gr788844697n_real(Aa),Ba)))-> ((all X_2 (hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,X_2),hAPP_r1134773055l_bool(ord_gr788844697n_real(Aa),Ba)))->hBOOL(hAPP_real_bool(deriv_real(F,X_2),zero_zero_real))))->hAPP_real_real(F,X_1)=hAPP_real_real(F,Y_2))))).
% 114.84/113.72  all K_1 (hBOOL(hAPP_rat_bool(iszero_rat,hAPP_int_rat(number_number_of_rat,K_1)))<->hBOOL(hAPP_int_bool(iszero_int,hAPP_int_int(number_number_of_int,K_1)))).
% 114.84/113.72  all X_1 Y_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_2))-> (exists X_2 (hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,X_2),field_1210416355s_real))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),X_2))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_2),Y_2))))).
% 114.84/113.72  all Y_2 X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_2),X_1))->comple124823625p_real(hAPP_r1134773055l_bool(ord_gr788844697n_real(Y_2),X_1))=X_1).
% 114.84/113.72  all X_1 X_3 (hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,X_1),X_3))-> ((exists Z all X_2 (hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,X_2),X_3))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_2),Z))))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),comple124823625p_real(X_3))))).
% 114.84/113.72  all Z_2 X_1 X_3 (hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,X_1),X_3))-> ((all X_2 (hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,X_2),X_3))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_2),Z_2))))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),comple124823625p_real(X_3))))).
% 114.84/113.72  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)).
% 114.84/113.72  all K_2 (frct(hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,K_2),zero_zero_int))=zero_zero_rat).
% 114.84/113.72  all K_2 (frct(hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,zero_zero_int),K_2))=zero_zero_rat).
% 114.84/113.72  frct(hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,one_one_int),one_one_int))=one_one_rat.
% 114.84/113.72  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))).
% 114.84/113.72  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))).
% 114.84/113.72  all Z_2 X_3 (hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,Z_2),X_3))-> ((all X_2 (hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,X_2),X_3))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_2),Z_2))))->comple124823625p_real(X_3)=Z_2)).
% 114.84/113.72  all Z_2 Y_2 X_1 X_3 (hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,X_1),X_3))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_2),X_1))-> ((all X_2 (hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,X_2),X_3))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_2),Z_2))))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_2),comple124823625p_real(X_3)))))).
% 114.84/113.72  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)).
% 114.84/113.72  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)))).
% 114.84/113.72  all Q_1 R_3 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(inverse_divide_rat,Q_1),R_3)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Q_1),hAPP_rat_rat(inverse_inverse_rat,R_3))).
% 114.84/113.72  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)))).
% 114.84/113.72  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)).
% 114.84/113.72  all Q_1 R_3 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,Q_1),R_3)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,Q_1),hAPP_rat_rat(uminus_uminus_rat,R_3))).
% 114.84/113.72  all Aa Ba (quotient_of(Aa)=quotient_of(Ba)<->Aa=Ba).
% 114.84/113.72  all A_2 B_1 (quotient_of(A_2)=quotient_of(B_1)->A_2=B_1).
% 114.84/113.72  all Z_2 W_1 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Z_2),W_1))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Z_2),W_1))&Z_2!=W_1).
% 114.84/113.72  all R_3 P_3 Q_1 (quotient_of(R_3)=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))).
% 114.84/113.72  quotient_of(one_one_rat)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,one_one_int),one_one_int).
% 114.84/113.72  all R_3 P_3 Q_1 (normalize(R_3)=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))).
% 114.84/113.72  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)).
% 114.84/113.72  all P_3 R_3 S_2 Q_1 (Q_1!=zero_zero_int-> (S_2!=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_3),S_2))->hAPP_int_int(hAPP_int_fun_int_int(times_times_int,P_3),S_2)=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,R_3),Q_1)))).
% 114.84/113.72  quotient_of(zero_zero_rat)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,zero_zero_int),one_one_int).
% 114.84/113.72  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)).
% 114.84/113.72  all R_3 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),R_3))-> -(all S_3 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),S_3))-> (all T_1 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),T_1))->R_3!=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,S_3),T_1)))))).
% 114.84/113.72  all X_1 Y_2 (hBOOL(hAPP_f526364711l_bool(hAPP_P1062890741l_bool(member2143287562nt_int,hAPP_P230595783nt_int(hAPP_P941956607nt_int(produc883642259nt_int,X_1),Y_2)),ratrel))<->hAPP_P1175774780nt_int(product_snd_int_int,X_1)!=zero_zero_int&hAPP_P1175774780nt_int(product_snd_int_int,Y_2)!=zero_zero_int&hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_P1175774780nt_int(product_fst_int_int,X_1)),hAPP_P1175774780nt_int(product_snd_int_int,Y_2))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_P1175774780nt_int(product_fst_int_int,Y_2)),hAPP_P1175774780nt_int(product_snd_int_int,X_1))).
% 114.84/113.72  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))).
% 114.84/113.72  all R_3 S_2 (ratreal(hAPP_rat_rat(hAPP_rat_fun_rat_rat(inverse_divide_rat,hAPP_int_rat(number_number_of_rat,R_3)),hAPP_int_rat(number_number_of_rat,S_2)))=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_int_real(number267125858f_real,R_3)),hAPP_int_real(number267125858f_real,S_2))).
% 114.84/113.72  all A_2 B_1 P_3 Q_1 (quotient_of(hAPP_int_rat(hAPP_int_fun_int_rat(fract,A_2),B_1))=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_2),B_1)).
% 114.84/113.72  all A_2 B_1 (hAPP_rat_rat(uminus_uminus_rat,hAPP_int_rat(hAPP_int_fun_int_rat(fract,A_2),B_1))=hAPP_int_rat(hAPP_int_fun_int_rat(fract,hAPP_int_int(uminus_uminus_int,A_2)),B_1)).
% 114.84/113.72  all A_2 B_1 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_2),B_1)),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_2),D_3)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_1),C_1))).
% 114.84/113.72  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))).
% 114.84/113.72  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)).
% 114.84/113.72  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)).
% 114.84/113.72  all K_2 (hAPP_int_rat(hAPP_int_fun_int_rat(fract,zero_zero_int),K_2)=zero_zero_rat).
% 114.84/113.72  all A_2 C_1 (hAPP_int_rat(hAPP_int_fun_int_rat(fract,zero_zero_int),A_2)=hAPP_int_rat(hAPP_int_fun_int_rat(fract,zero_zero_int),C_1)).
% 114.84/113.72  all K_2 (hAPP_int_rat(hAPP_int_fun_int_rat(fract,K_2),zero_zero_int)=zero_zero_rat).
% 114.84/113.72  one_one_rat=hAPP_int_rat(hAPP_int_fun_int_rat(fract,one_one_int),one_one_int).
% 114.84/113.72  hAPP_int_rat(hAPP_int_fun_int_rat(fract,one_one_int),one_one_int)=one_one_rat.
% 114.84/113.72  all A_2 (hAPP_int_rat(hAPP_int_fun_int_rat(fract,A_2),zero_zero_int)=hAPP_int_rat(hAPP_int_fun_int_rat(fract,zero_zero_int),one_one_int)).
% 114.84/113.72  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)).
% 114.84/113.72  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)).
% 114.84/113.72  all W (hAPP_int_rat(number_number_of_rat,W)=hAPP_int_rat(hAPP_int_fun_int_rat(fract,W),one_one_int)).
% 114.84/113.72  all X (archim1246769320r_real(ratreal(X))=archim791455193or_rat(X)).
% 114.84/113.72  all A_2 B_1 (archim791455193or_rat(hAPP_int_rat(hAPP_int_fun_int_rat(fract,A_2),B_1))=hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_2),B_1)).
% 114.84/113.72  all A_2 B_1 (hAPP_rat_rat(inverse_inverse_rat,hAPP_int_rat(hAPP_int_fun_int_rat(fract,A_2),B_1))=hAPP_int_rat(hAPP_int_fun_int_rat(fract,B_1),A_2)).
% 114.84/113.72  all A_2 B_1 (hAPP_int_rat(hAPP_int_fun_int_rat(fract,hAPP_int_int(uminus_uminus_int,A_2)),hAPP_int_int(uminus_uminus_int,B_1))=hAPP_int_rat(hAPP_int_fun_int_rat(fract,A_2),B_1)).
% 114.84/113.72  all A_2 B_1 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_2)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_1),B_1))=hAPP_int_rat(hAPP_int_fun_int_rat(fract,A_2),B_1)).
% 114.84/113.72  all Aa C D Ba (Ba!=zero_zero_int-> (D!=zero_zero_int-> (hAPP_int_rat(hAPP_int_fun_int_rat(fract,Aa),Ba)=hAPP_int_rat(hAPP_int_fun_int_rat(fract,C),D)<->hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Aa),D)=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),Ba)))).
% 114.84/113.72  all A_2 B_1 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_2),B_1)),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_2),C_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_1),D_3))).
% 114.84/113.72  all A_2 B_1 (hAPP_rat_rat(abs_abs_rat,hAPP_int_rat(hAPP_int_fun_int_rat(fract,A_2),B_1))=hAPP_int_rat(hAPP_int_fun_int_rat(fract,hAPP_int_int(abs_abs_int,A_2)),hAPP_int_int(abs_abs_int,B_1))).
% 114.84/113.72  all A_2 B_1 P_3 Q_1 (normalize(hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,A_2),B_1))=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_2),B_1)).
% 114.84/113.72  all X_1 Y_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,ratreal(X_1)),ratreal(Y_2)))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_1),Y_2))).
% 114.84/113.72  zero_zero_real=ratreal(zero_zero_rat).
% 114.84/113.72  ratreal(zero_zero_rat)=zero_zero_real.
% 114.84/113.72  all K_2 (hAPP_int_real(number267125858f_real,K_2)=ratreal(hAPP_int_rat(number_number_of_rat,K_2))).
% 114.84/113.72  all K_2 (ratreal(hAPP_int_rat(number_number_of_rat,K_2))=hAPP_int_real(number267125858f_real,K_2)).
% 114.84/113.72  one_one_real=ratreal(one_one_rat).
% 114.84/113.72  ratreal(one_one_rat)=one_one_real.
% 114.84/113.72  all X_1 Y_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,ratreal(X_1)),ratreal(Y_2)))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_1),Y_2))).
% 114.84/113.72  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))).
% 114.84/113.72  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))).
% 114.84/113.72  all X (hAPP_real_real(uminus_uminus_real,ratreal(X))=ratreal(hAPP_rat_rat(uminus_uminus_rat,X))).
% 114.84/113.72  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))).
% 114.84/113.72  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))).
% 114.84/113.72  all X (hAPP_real_real(inverse_inverse_real,ratreal(X))=ratreal(hAPP_rat_rat(inverse_inverse_rat,X))).
% 114.84/113.72  zero_zero_rat=hAPP_int_rat(hAPP_int_fun_int_rat(fract,zero_zero_int),one_one_int).
% 114.84/113.72  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)).
% 114.84/113.72  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)).
% 114.84/113.72  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))).
% 114.84/113.72  all A_2 B_1 (quotient_of(hAPP_int_rat(hAPP_int_fun_int_rat(fract,A_2),B_1))=normalize(hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,A_2),B_1))).
% 114.84/113.72  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))).
% 114.84/113.72  all Aa C D Ba (Ba!=zero_zero_int-> (D!=zero_zero_int-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_int_rat(hAPP_int_fun_int_rat(fract,Aa),Ba)),hAPP_int_rat(hAPP_int_fun_int_rat(fract,C),D)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Aa),D)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Ba),D))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),Ba)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Ba),D))))))).
% 114.84/113.72  all R_3 S_2 (hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,ratreal(hAPP_int_rat(number_number_of_rat,R_3))),ratreal(hAPP_int_rat(number_number_of_rat,S_2)))=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_int_real(number267125858f_real,R_3)),hAPP_int_real(number267125858f_real,S_2))).
% 114.84/113.72  all A_2 B_1 (hAPP_rat_rat(sgn_sgn_rat,hAPP_int_rat(hAPP_int_fun_int_rat(fract,A_2),B_1))=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_2)),hAPP_int_int(sgn_sgn_int,B_1)))).
% 114.84/113.72  all Aa Ba (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Ba))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_int_rat(hAPP_int_fun_int_rat(fract,Aa),Ba)),zero_zero_rat))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),zero_zero_int)))).
% 114.84/113.72  all Aa Ba (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Ba))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),hAPP_int_rat(hAPP_int_fun_int_rat(fract,Aa),Ba)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Aa)))).
% 114.84/113.72  all Aa C D Ba (Ba!=zero_zero_int-> (D!=zero_zero_int-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_int_rat(hAPP_int_fun_int_rat(fract,Aa),Ba)),hAPP_int_rat(hAPP_int_fun_int_rat(fract,C),D)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Aa),D)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Ba),D))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),Ba)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Ba),D))))))).
% 114.84/113.72  all A_2 C_1 D_3 B_1 (B_1!=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_2),B_1)),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_2),D_3)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_1),B_1))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_1),D_3)))).
% 114.84/113.72  all A_2 C_1 D_3 B_1 (B_1!=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_2),B_1)),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_2),D_3)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_1),B_1))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_1),D_3)))).
% 114.84/113.72  all Aa Ba (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Ba))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,one_one_rat),hAPP_int_rat(hAPP_int_fun_int_rat(fract,Aa),Ba)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Ba),Aa)))).
% 114.84/113.72  all Aa Ba (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Ba))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_int_rat(hAPP_int_fun_int_rat(fract,Aa),Ba)),one_one_rat))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),Ba)))).
% 114.84/113.72  all M_1 N_1 (N_1!=zero_zero_int->hAPP_int_rat(hAPP_int_fun_int_rat(fract,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,M_1),N_1)),N_1)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_int_rat(hAPP_int_fun_int_rat(fract,M_1),N_1)),one_one_rat)).
% 114.84/113.72  all Aa Ba (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Ba))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_int_rat(hAPP_int_fun_int_rat(fract,Aa),Ba)),zero_zero_rat))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),zero_zero_int)))).
% 114.84/113.72  all Aa Ba (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Ba))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),hAPP_int_rat(hAPP_int_fun_int_rat(fract,Aa),Ba)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Aa)))).
% 114.84/113.72  all A_2 B_1 (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_2),B_1))),hAPP_int_rat(hAPP_int_fun_int_rat(fract,A_2),B_1)))&hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_int_rat(hAPP_int_fun_int_rat(fract,A_2),B_1)),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_2),B_1)),one_one_int))))).
% 114.84/113.72  all Aa Ba (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Ba))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,one_one_rat),hAPP_int_rat(hAPP_int_fun_int_rat(fract,Aa),Ba)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Ba),Aa)))).
% 114.84/113.72  all Aa Ba (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Ba))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_int_rat(hAPP_int_fun_int_rat(fract,Aa),Ba)),one_one_rat))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),Ba)))).
% 114.84/113.72  all Qa P_1 ((all A_1 B_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_3))->hBOOL(hAPP_rat_bool(P_1,hAPP_int_rat(hAPP_int_fun_int_rat(fract,A_1),B_3)))))->hBOOL(hAPP_rat_bool(P_1,Qa))).
% 114.84/113.72  all Ba Qa R_2 (hAPP_P1975530577nt_int(adjust(Ba),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Qa),R_2))=hAPP_P1975530577nt_int(hAPP_P1145851913nt_int(hAPP_b40753821nt_int(if_Pro1731782967nt_int,hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,R_2),Ba))),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)))),Qa)),one_one_int)),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,R_2),Ba))),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)))),Qa)),R_2))).
% 114.84/113.72  all X_2 hBOOL(hAPP_real_bool(deriv_real(hAPP_f1950183573l_real(hAPP_f2069516469l_real(cOMBS_real_real_real,hAPP_f556082547l_real(hAPP_f1960414057l_real(cOMBB_882763271l_real,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_2),zero_zero_real)).
% 114.84/113.72  all K_1 hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),K_1)))).
% 114.84/113.72  all K_1 hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_e_q_nat),K_1)))).
% 114.84/113.72  hBOOL(hAPP_f54304608l_bool(nat_tr160667106at_int(semiri1621563631at_int),cOMBK_bool_nat(fTrue))).
% 114.84/113.72  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)))).
% 114.84/113.72  all N (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),N))->hAPP_nat_int(semiri1621563631at_int,hAPP_f957591787ol_nat(finite_card_int,collect_int(hAPP_f1805168059t_bool(hAPP_f727283836t_bool(cOMBS_int_bool_bool,hAPP_f2144054103l_bool(hAPP_f1734373249l_bool(cOMBB_1652995168ol_int,fconj),hAPP_i1948725293t_bool(ord_less_int,zero_zero_int))),hAPP_i1948725293t_bool(hAPP_f428220345t_bool(cOMBC_int_int_bool,ord_less_e_q_int),N)))))=N).
% 114.84/113.72  all N (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),N))->hAPP_f957591787ol_nat(finite_card_int,collect_int(hAPP_f1805168059t_bool(hAPP_f727283836t_bool(cOMBS_int_bool_bool,hAPP_f2144054103l_bool(hAPP_f1734373249l_bool(cOMBB_1652995168ol_int,fconj),hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int))),hAPP_i1948725293t_bool(hAPP_f428220345t_bool(cOMBC_int_int_bool,ord_less_int),N))))=hAPP_int_nat(nat,N)).
% 114.84/113.72  all N (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),N))->hAPP_f957591787ol_nat(finite_card_int,collect_int(hAPP_f1805168059t_bool(hAPP_f727283836t_bool(cOMBS_int_bool_bool,hAPP_f2144054103l_bool(hAPP_f1734373249l_bool(cOMBB_1652995168ol_int,fconj),hAPP_i1948725293t_bool(ord_less_int,zero_zero_int))),hAPP_i1948725293t_bool(hAPP_f428220345t_bool(cOMBC_int_int_bool,ord_less_e_q_int),N))))=hAPP_int_nat(nat,N)).
% 114.84/113.72  all N hBOOL(hAPP_f448129468l_bool(finite_finite_int,collect_int(hAPP_f1805168059t_bool(hAPP_f727283836t_bool(cOMBS_int_bool_bool,hAPP_f2144054103l_bool(hAPP_f1734373249l_bool(cOMBB_1652995168ol_int,fconj),hAPP_i1948725293t_bool(ord_less_int,zero_zero_int))),hAPP_i1948725293t_bool(hAPP_f428220345t_bool(cOMBC_int_int_bool,ord_less_e_q_int),N))))).
% 114.84/113.72  all N hBOOL(hAPP_f448129468l_bool(finite_finite_int,collect_int(hAPP_f1805168059t_bool(hAPP_f727283836t_bool(cOMBS_int_bool_bool,hAPP_f2144054103l_bool(hAPP_f1734373249l_bool(cOMBB_1652995168ol_int,fconj),hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int))),hAPP_i1948725293t_bool(hAPP_f428220345t_bool(cOMBC_int_int_bool,ord_less_int),N))))).
% 114.84/113.72  all K_1 Xa_1 hBOOL(hAPP_real_bool(deriv_real(hAPP_f1950183573l_real(hAPP_f1992866895l_real(cOMBB_real_real_real,cos),hAPP_r1250527377l_real(hAPP_f203520653l_real(cOMBC_real_real_real,plus_plus_real),K_1)),Xa_1),hAPP_real_real(uminus_uminus_real,hAPP_real_real(sin,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Xa_1),K_1))))).
% 114.84/113.72  all X_2 (hAPP_n1699378549t_bool(ord_less_nat,X_2)=hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,X_2))).
% 114.84/113.72  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,times_times_real),sin)),sin),X_1),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(cos,X_1)),hAPP_real_real(sin,X_1))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(cos,X_1)),hAPP_real_real(sin,X_1))))).
% 114.84/113.72  all K_1 Xa_1 hBOOL(hAPP_real_bool(deriv_real(hAPP_f1950183573l_real(hAPP_f1992866895l_real(cOMBB_real_real_real,sin),hAPP_r1250527377l_real(hAPP_f203520653l_real(cOMBC_real_real_real,plus_plus_real),K_1)),Xa_1),hAPP_real_real(cos,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Xa_1),K_1)))).
% 114.84/113.72  all X_1 (hAPP_f22106695ol_nat(finite_card_nat,collect_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_e_q_nat),X_1)))=hAPP_nat_nat(suc,X_1)).
% 114.84/113.72  all N (hAPP_f22106695ol_nat(finite_card_nat,collect_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_e_q_nat),N)))=hAPP_nat_nat(suc,N)).
% 114.84/113.72  all X_1 hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_e_q_nat),X_1)))).
% 114.84/113.72  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))).
% 114.84/113.72  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)))).
% 114.84/113.72  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))))).
% 114.84/113.72  all N hBOOL(hAPP_f448129468l_bool(finite_finite_int,collect_int(hAPP_f1805168059t_bool(hAPP_f727283836t_bool(cOMBS_int_bool_bool,hAPP_f2144054103l_bool(hAPP_f1734373249l_bool(cOMBB_1652995168ol_int,fconj),hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int))),hAPP_i1948725293t_bool(hAPP_f428220345t_bool(cOMBC_int_int_bool,ord_less_e_q_int),N))))).
% 114.84/113.72  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),one_one_real))->hBOOL(bse_q_real(hAPP_r474017924t_real(power_power_real,X_1))))).
% 114.84/113.72  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))))).
% 114.84/113.72  all M (M!=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),M))))).
% 114.84/113.72  all 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))))).
% 114.84/113.72  -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(prime))).
% 114.84/113.72  all X_3 (hBOOL(cauchy_complex(X_3))->hBOOL(cauchy_complex(hAPP_f1646117269omplex(hAPP_f1457396693omplex(cOMBB_117013006ex_nat,cnj),X_3)))).
% 114.84/113.72  all X_3 (hBOOL(cauchy_complex(X_3))->hBOOL(cauchy_real(hAPP_f1290670424t_real(hAPP_f327026105t_real(cOMBB_722610049al_nat,re),X_3)))).
% 114.84/113.72  all X_3 (hBOOL(cauchy_complex(X_3))->hBOOL(cauchy_real(hAPP_f1290670424t_real(hAPP_f327026105t_real(cOMBB_722610049al_nat,im),X_3)))).
% 114.84/113.72  all G X_1 M (hBOOL(hAPP_real_bool(deriv_real(G,X_1),M))->hBOOL(hAPP_real_bool(deriv_real(hAPP_f1950183573l_real(hAPP_f1992866895l_real(cOMBB_real_real_real,cos),G),X_1),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(uminus_uminus_real,hAPP_real_real(sin,hAPP_real_real(G,X_1)))),M)))).
% 114.84/113.72  all G X_1 M (hBOOL(hAPP_real_bool(deriv_real(G,X_1),M))->hBOOL(hAPP_real_bool(deriv_real(hAPP_f1950183573l_real(hAPP_f1992866895l_real(cOMBB_real_real_real,sin),G),X_1),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(cos,hAPP_real_real(G,X_1))),M)))).
% 114.84/113.72  all N (hAPP_f22106695ol_nat(finite_card_nat,collect_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),N)))=N).
% 114.84/113.72  all X_1 (hAPP_f22106695ol_nat(finite_card_nat,collect_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),X_1)))=X_1).
% 114.84/113.72  all X_1 hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),X_1)))).
% 114.84/113.72  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))))).
% 114.84/113.72  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)))).
% 114.84/113.72  all I_1 M_3 (-hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,zero_zero_nat),M_3))->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_3))),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_3))),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),hAPP_nat_nat(suc,I_1)))))).
% 114.84/113.72  all I_1 M_3 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,zero_zero_nat),M_3))->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_3))),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),hAPP_nat_nat(suc,I_1)))))!=zero_zero_nat).
% 114.84/113.72  all I_1 M_3 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,zero_zero_nat),M_3))->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_3))),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_3))),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),hAPP_nat_nat(suc,I_1)))))).
% 114.84/113.72  all N hBOOL(hAPP_f448129468l_bool(finite_finite_int,collect_int(hAPP_f1805168059t_bool(hAPP_f727283836t_bool(cOMBS_int_bool_bool,hAPP_f2144054103l_bool(hAPP_f1734373249l_bool(cOMBB_1652995168ol_int,fconj),hAPP_i1948725293t_bool(ord_less_int,zero_zero_int))),hAPP_i1948725293t_bool(hAPP_f428220345t_bool(cOMBC_int_int_bool,ord_less_int),N))))).
% 114.84/113.72  all M X_1 (hAPP_i1948725293t_bool(noXRRset(M),X_1)=image_int_int(hAPP_int_fun_int_int(hAPP_f2135977429nt_int(cOMBC_int_int_int,times_times_int),X_1),hAPP_i1948725293t_bool(norRRset,M))).
% 114.84/113.72  all N G X_1 M (hBOOL(hAPP_real_bool(deriv_real(G,X_1),M))->hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(hAPP_f248847589l_real(cOMBC_real_nat_real,hAPP_f1407095736t_real(hAPP_f1796904975t_real(cOMBB_599996122l_real,power_power_real),G)),N),X_1),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(G,X_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),one_one_nat)))),M)))).
% 114.84/113.72  all N (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),N))->hAPP_f957591787ol_nat(finite_card_int,collect_int(hAPP_f1805168059t_bool(hAPP_f727283836t_bool(cOMBS_int_bool_bool,hAPP_f2144054103l_bool(hAPP_f1734373249l_bool(cOMBB_1652995168ol_int,fconj),hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int))),hAPP_i1948725293t_bool(hAPP_f428220345t_bool(cOMBC_int_int_bool,ord_less_e_q_int),N))))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(nat,N)),one_one_nat)).
% 114.84/113.72  all N (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),N))->hAPP_nat_int(semiri1621563631at_int,hAPP_f957591787ol_nat(finite_card_int,collect_int(hAPP_f1805168059t_bool(hAPP_f727283836t_bool(cOMBS_int_bool_bool,hAPP_f2144054103l_bool(hAPP_f1734373249l_bool(cOMBB_1652995168ol_int,fconj),hAPP_i1948725293t_bool(ord_less_int,zero_zero_int))),hAPP_i1948725293t_bool(hAPP_f428220345t_bool(cOMBC_int_int_bool,ord_less_int),N)))))=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,N),one_one_int)).
% 114.84/113.72  all N (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),N))->hAPP_f957591787ol_nat(finite_card_int,collect_int(hAPP_f1805168059t_bool(hAPP_f727283836t_bool(cOMBS_int_bool_bool,hAPP_f2144054103l_bool(hAPP_f1734373249l_bool(cOMBB_1652995168ol_int,fconj),hAPP_i1948725293t_bool(ord_less_int,zero_zero_int))),hAPP_i1948725293t_bool(hAPP_f428220345t_bool(cOMBC_int_int_bool,ord_less_int),N))))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_int_nat(nat,N)),one_one_nat)).
% 114.84/113.72  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,times_times_real),cos)),cos),X_1),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(uminus_uminus_real,hAPP_real_real(sin,X_1))),hAPP_real_real(cos,X_1))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(uminus_uminus_real,hAPP_real_real(sin,X_1))),hAPP_real_real(cos,X_1))))).
% 114.84/113.72  all V N (hAPP_int_nat(number_number_of_nat,V)=hAPP_nat_nat(suc,N)<-> -hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,V))))& (-hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,V))))->hAPP_int_nat(nat,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,V)))=N)).
% 114.84/113.72  all N V (hAPP_nat_nat(suc,N)=hAPP_int_nat(number_number_of_nat,V)<-> -hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,V))))& (-hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,V))))->hAPP_int_nat(nat,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,V)))=N)).
% 114.84/113.72  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))))).
% 114.84/113.72  all N X_1 hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(hAPP_f248847589l_real(cOMBC_real_nat_real,power_power_real),N),X_1),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),hAPP_nat_nat(suc,zero_zero_nat)))))).
% 114.84/113.72  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,times_times_real),cos)),cos),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,min))),hAPP_real_real(cos,X_1))),hAPP_real_real(sin,X_1)))).
% 114.84/113.72  all V N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_int_nat(number_number_of_nat,V)),hAPP_nat_nat(suc,N)))<-> (-hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,V))))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_int_nat(nat,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,V)))),N)))).
% 114.84/113.72  all N V (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,N)),hAPP_int_nat(number_number_of_nat,V)))<-> -hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,V))))& (-hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,V))))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),hAPP_int_nat(nat,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,V))))))).
% 114.84/113.72  all N V (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,N)),hAPP_int_nat(number_number_of_nat,V)))<-> -hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,V))))& (-hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,V))))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),hAPP_int_nat(nat,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,V))))))).
% 114.84/113.72  all V N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_int_nat(number_number_of_nat,V)),hAPP_nat_nat(suc,N)))<-> (-hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,V))))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_int_nat(nat,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,V)))),N)))).
% 114.84/113.72  all X_3 M (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),M))->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,image_int_int(standardRes(M),X_3)),collect_int(hAPP_f1805168059t_bool(hAPP_f727283836t_bool(cOMBS_int_bool_bool,hAPP_f2144054103l_bool(hAPP_f1734373249l_bool(cOMBB_1652995168ol_int,fconj),hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int))),hAPP_i1948725293t_bool(hAPP_f428220345t_bool(cOMBC_int_int_bool,ord_less_int),M)))))).
% 114.84/113.72  all X_1 A M (hBOOL(hAPP_f215623910l_bool(hAPP_f628503027l_bool(member_fun_int_bool,A),rsetR(M)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),M))-> (hAPP_int_int(legacy_zgcd(X_1),M)=one_one_int->hBOOL(hAPP_f215623910l_bool(hAPP_f628503027l_bool(member_fun_int_bool,image_int_int(hAPP_int_fun_int_int(hAPP_f2135977429nt_int(cOMBC_int_int_int,times_times_int),X_1),A)),rsetR(M)))))).
% 114.84/113.72  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)).
% 114.84/113.72  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,times_times_real),sin)),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)))).
% 114.84/113.72  all Ba X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))->hBOOL(hAPP_real_bool(deriv_real(log(Ba),X_1),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,Ba)),X_1))))).
% 114.84/113.72  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,times_times_real),cos)),cos),X_1),hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),hAPP_real_real(cos,X_1))),hAPP_real_real(sin,X_1))))).
% 114.84/113.72  all X_2 hBOOL(hAPP_real_bool(deriv_real(hAPP_f1950183573l_real(hAPP_f2069516469l_real(cOMBS_real_real_real,hAPP_f556082547l_real(hAPP_f1960414057l_real(cOMBB_882763271l_real,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_2),zero_zero_real)).
% 114.84/113.72  all X_1 hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(hAPP_f248847589l_real(cOMBC_real_nat_real,hAPP_f1407095736t_real(hAPP_f1796904975t_real(cOMBB_599996122l_real,power_power_real),sin)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),X_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)))).
% 114.84/113.72  all X_1 hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(hAPP_f248847589l_real(cOMBC_real_nat_real,hAPP_f1407095736t_real(hAPP_f1796904975t_real(cOMBB_599996122l_real,power_power_real),sin)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),X_1),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(cos,X_1)),hAPP_real_real(sin,X_1))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(cos,X_1)),hAPP_real_real(sin,X_1))))).
% 114.84/113.72  all V V_1 ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_1),pls))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_int_nat(number_number_of_nat,V)),hAPP_int_nat(number_number_of_nat,V_1))=hAPP_int_nat(number_number_of_nat,V))& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_1),pls))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_int_nat(number_number_of_nat,V)),hAPP_int_nat(number_number_of_nat,V_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(hAPP_b992065680at_nat(if_nat,hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V),hAPP_int_int(uminus_uminus_int,V_1))))),zero_zero_nat),hAPP_int_nat(nat,hAPP_int_int(number_number_of_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V),hAPP_int_int(uminus_uminus_int,V_1))))))).
% 114.84/113.72  all X_1 hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(hAPP_f248847589l_real(cOMBC_real_nat_real,hAPP_f1407095736t_real(hAPP_f1796904975t_real(cOMBB_599996122l_real,power_power_real),cos)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),X_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,min))),hAPP_real_real(cos,X_1))),hAPP_real_real(sin,X_1)))).
% 114.84/113.72  all X_1 hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(hAPP_f248847589l_real(cOMBC_real_nat_real,hAPP_f1407095736t_real(hAPP_f1796904975t_real(cOMBB_599996122l_real,power_power_real),cos)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),X_1),hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),hAPP_real_real(cos,X_1))),hAPP_real_real(sin,X_1))))).
% 114.84/113.72  all X_1 hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(hAPP_f248847589l_real(cOMBC_real_nat_real,hAPP_f1407095736t_real(hAPP_f1796904975t_real(cOMBB_599996122l_real,power_power_real),cos)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),X_1),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(uminus_uminus_real,hAPP_real_real(sin,X_1))),hAPP_real_real(cos,X_1))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(uminus_uminus_real,hAPP_real_real(sin,X_1))),hAPP_real_real(cos,X_1))))).
% 114.84/113.72  all X_1 (hAPP_real_real(cos,X_1)!=zero_zero_real->hBOOL(hAPP_real_bool(deriv_real(hAPP_f1950183573l_real(hAPP_f2069516469l_real(cOMBS_real_real_real,hAPP_f556082547l_real(hAPP_f1960414057l_real(cOMBB_882763271l_real,inverse_divide_real),sin)),cos),X_1),hAPP_real_real(inverse_inverse_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(cos,X_1)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))).
% 114.84/113.72  all Y_2 X_2 hBOOL(hAPP_real_bool(deriv_real(hAPP_f1950183573l_real(hAPP_f2069516469l_real(cOMBS_real_real_real,hAPP_f556082547l_real(hAPP_f1960414057l_real(cOMBB_882763271l_real,plus_plus_real),hAPP_n546711566l_real(hAPP_f248847589l_real(cOMBC_real_nat_real,hAPP_f1407095736t_real(hAPP_f1796904975t_real(cOMBB_599996122l_real,power_power_real),hAPP_f1950183573l_real(hAPP_f2069516469l_real(cOMBS_real_real_real,hAPP_f556082547l_real(hAPP_f1960414057l_real(cOMBB_882763271l_real,minus_minus_real),hAPP_f1950183573l_real(hAPP_f1992866895l_real(cOMBB_real_real_real,sin),hAPP_r1250527377l_real(hAPP_f203520653l_real(cOMBC_real_real_real,plus_plus_real),Y_2)))),hAPP_f1950183573l_real(hAPP_f2069516469l_real(cOMBS_real_real_real,hAPP_f556082547l_real(hAPP_f1960414057l_real(cOMBB_882763271l_real,plus_plus_real),hAPP_r1250527377l_real(hAPP_f203520653l_real(cOMBC_real_real_real,hAPP_f556082547l_real(hAPP_f1960414057l_real(cOMBB_882763271l_real,times_times_real),sin)),hAPP_real_real(cos,Y_2)))),hAPP_r1250527377l_real(hAPP_f203520653l_real(cOMBC_real_real_real,hAPP_f556082547l_real(hAPP_f1960414057l_real(cOMBB_882763271l_real,times_times_real),cos)),hAPP_real_real(sin,Y_2)))))),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),hAPP_n546711566l_real(hAPP_f248847589l_real(cOMBC_real_nat_real,hAPP_f1407095736t_real(hAPP_f1796904975t_real(cOMBB_599996122l_real,power_power_real),hAPP_f1950183573l_real(hAPP_f2069516469l_real(cOMBS_real_real_real,hAPP_f556082547l_real(hAPP_f1960414057l_real(cOMBB_882763271l_real,minus_minus_real),hAPP_f1950183573l_real(hAPP_f1992866895l_real(cOMBB_real_real_real,cos),hAPP_r1250527377l_real(hAPP_f203520653l_real(cOMBC_real_real_real,plus_plus_real),Y_2)))),hAPP_f1950183573l_real(hAPP_f2069516469l_real(cOMBS_real_real_real,hAPP_f556082547l_real(hAPP_f1960414057l_real(cOMBB_882763271l_real,minus_minus_real),hAPP_r1250527377l_real(hAPP_f203520653l_real(cOMBC_real_real_real,hAPP_f556082547l_real(hAPP_f1960414057l_real(cOMBB_882763271l_real,times_times_real),cos)),hAPP_real_real(cos,Y_2)))),hAPP_r1250527377l_real(hAPP_f203520653l_real(cOMBC_real_real_real,hAPP_f556082547l_real(hAPP_f1960414057l_real(cOMBB_882763271l_real,times_times_real),sin)),hAPP_real_real(sin,Y_2)))))),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),X_2),zero_zero_real)).
% 114.84/113.72  all X_2 hBOOL(hAPP_real_bool(deriv_real(hAPP_f1950183573l_real(hAPP_f2069516469l_real(cOMBS_real_real_real,hAPP_f556082547l_real(hAPP_f1960414057l_real(cOMBB_882763271l_real,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_2),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_2))),hAPP_real_real(sin,X_2))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),hAPP_real_real(cos,X_2))),hAPP_real_real(sin,X_2))))).
% 114.84/113.72  all Aa Ba (hBOOL(hAPP_P603027463t_bool(accp_P2006205492nt_int(norm_frac_rel),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Aa),Ba)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Ba),zero_zero_int))->norm_frac(Aa,Ba)=norm_frac(hAPP_int_int(uminus_uminus_int,Aa),hAPP_int_int(uminus_uminus_int,Ba)))& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Ba),zero_zero_int))-> (Aa=zero_zero_int|Ba=zero_zero_int->norm_frac(Aa,Ba)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,zero_zero_int),one_one_int))& (-(Aa=zero_zero_int|Ba=zero_zero_int)->norm_frac(Aa,Ba)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,Aa),hAPP_int_int(hAPP_int_fun_int_int(int_gcd,Aa),Ba))),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,Ba),hAPP_int_int(hAPP_int_fun_int_int(int_gcd,Aa),Ba)))))).
% 114.84/113.72  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,X_1)),one_one_real))->hBOOL(monose_q_real(hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,hAPP_r1250527377l_real(inverse_divide_real,one_one_real)),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,hAPP_f1639111240at_nat(hAPP_f1731313045at_nat(cOMBB_963856155at_nat,plus_plus_nat),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,times_times_nat),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),one_one_nat))))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,hAPP_r474017924t_real(power_power_real,X_1)),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)))))).
% 114.84/113.72  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),one_one_real))->hBOOL(monose_q_real(hAPP_r474017924t_real(power_power_real,X_1))))).
% 114.84/113.72  all A_2 B_1 ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_1),zero_zero_int))->norm_frac(A_2,B_1)=norm_frac(hAPP_int_int(uminus_uminus_int,A_2),hAPP_int_int(uminus_uminus_int,B_1)))& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_1),zero_zero_int))-> (A_2=zero_zero_int|B_1=zero_zero_int->norm_frac(A_2,B_1)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,zero_zero_int),one_one_int))& (-(A_2=zero_zero_int|B_1=zero_zero_int)->norm_frac(A_2,B_1)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_2),hAPP_int_int(hAPP_int_fun_int_int(int_gcd,A_2),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_2),B_1)))))).
% 114.84/113.72  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)))))).
% 114.84/113.72  all Aa Pa (hBOOL(hAPP_int_bool(zprime,Pa))-> (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)))),Pa))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Aa),zero_zero_int),Pa))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(quadRes,Pa),Aa))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(big_co1548731110nt_int(cOMBI_int,comple219730294t_bool(setS(Aa,Pa)))),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,Aa),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,Pa),one_one_int)),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))),Pa)))))).
% 114.84/113.72  all Aa (big_co1548731110nt_int(cOMBI_int,hAPP_i1948725293t_bool(d22set,Aa))=hAPP_int_int(zfact,Aa)).
% 114.84/113.72  all Aa M (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),M))->hAPP_int_int(legacy_zgcd(big_co1548731110nt_int(cOMBI_int,hAPP_i1948725293t_bool(bnorRset(Aa),M))),M)=one_one_int).
% 114.84/113.72  all Aa M X_1 (X_1!=zero_zero_int-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),M))->big_co1548731110nt_int(cOMBI_int,image_int_int(hAPP_int_fun_int_int(hAPP_f2135977429nt_int(cOMBC_int_int_int,times_times_int),X_1),hAPP_i1948725293t_bool(bnorRset(Aa),M)))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,big_co1548731110nt_int(cOMBI_int,hAPP_i1948725293t_bool(bnorRset(Aa),M))),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_1),hAPP_f957591787ol_nat(finite_card_int,hAPP_i1948725293t_bool(bnorRset(Aa),M)))))).
% 114.84/113.72  all X_1 Aa Pa (hBOOL(hAPP_int_bool(zprime,Pa))-> (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)))),Pa))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Aa),zero_zero_int),Pa))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(quadRes,Pa),Aa))-> (hBOOL(hAPP_f215623910l_bool(hAPP_f628503027l_bool(member_fun_int_bool,X_1),setS(Aa,Pa)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(big_co1548731110nt_int(cOMBI_int,X_1)),Aa),Pa))))))).
% 114.84/113.72  all Aa Pa (hBOOL(hAPP_int_bool(zprime,Pa))-> (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))))),Pa))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Pa),one_one_int)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(big_co1548731110nt_int(cOMBI_int,hAPP_i1948725293t_bool(wset(Aa),Pa))),one_one_int),Pa))))).
% 114.84/113.72  all Aa Pa (hBOOL(hAPP_int_bool(zprime,Pa))-> (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)))),Pa))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Aa),zero_zero_int),Pa))->big_co1548731110nt_int(cOMBI_int,comple219730294t_bool(setS(Aa,Pa)))=hAPP_int_int(zfact,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Pa),one_one_int))))).
% 114.84/113.72  all F A (hBOOL(hAPP_f448129468l_bool(nat_nat_set,A))-> ((all X_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_2))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(F,X_2)))))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),big_co1548731110nt_int(F,A))))).
% 114.84/113.72  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,X_1)),one_one_real))->hAPP_real_real(arctan,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),hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min)))),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,hAPP_r1250527377l_real(inverse_divide_real,one_one_real)),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,hAPP_f1639111240at_nat(hAPP_f1731313045at_nat(cOMBB_963856155at_nat,plus_plus_nat),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,times_times_nat),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),one_one_nat))))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,hAPP_r474017924t_real(power_power_real,X_1)),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)))))).
% 114.84/113.72  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(abs_abs_real,X_1)),one_one_real))->hBOOL(hAPP_real_bool(deriv_real(hAPP_f1122023986l_real(hAPP_f1786887945l_real(cOMBB_1896127834l_real,suminf_real),hAPP_f1993765077t_real(hAPP_f895854793t_real(cOMBB_1948233853l_real,hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min))))),hAPP_f1993765077t_real(hAPP_f895854793t_real(cOMBB_1948233853l_real,hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,hAPP_r1250527377l_real(inverse_divide_real,one_one_real)),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,hAPP_f1639111240at_nat(hAPP_f1731313045at_nat(cOMBB_963856155at_nat,plus_plus_nat),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,times_times_nat),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),one_one_nat)))))),hAPP_f1501741374t_real(hAPP_f1135648319t_real(cOMBC_1329014627t_real,hAPP_f1163894827t_real(hAPP_f1998755145t_real(cOMBB_421464275l_real,cOMBB_nat_real_nat),power_power_real)),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,hAPP_f1639111240at_nat(hAPP_f1731313045at_nat(cOMBB_963856155at_nat,plus_plus_nat),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,times_times_nat),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),one_one_nat))))),X_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),hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min)))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,hAPP_r474017924t_real(power_power_real,X_1)),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)))))))))).
% 114.84/113.72  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)))).
% 114.84/113.72  all X_2 (hAPP_real_real(sin,X_2)=hAPP_f352196356l_real(suminf_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),sin_coeff)),hAPP_r474017924t_real(power_power_real,X_2)))).
% 114.84/113.72  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)))).
% 114.84/113.72  all X_2 (hAPP_real_real(cos,X_2)=hAPP_f352196356l_real(suminf_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),cos_coeff)),hAPP_r474017924t_real(power_power_real,X_2)))).
% 114.84/113.72  all X_1 (hAPP_real_real(uminus_uminus_real,hAPP_real_real(sin,X_1))=hAPP_f352196356l_real(suminf_real,hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,uminus_uminus_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),sin_coeff)),hAPP_r474017924t_real(power_power_real,X_1))))).
% 114.84/113.72  all X_1 (hAPP_real_real(exp_real,X_1)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,one_one_real),X_1)),hAPP_f352196356l_real(suminf_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,inverse_inverse_real),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),hAPP_f1914919701at_nat(hAPP_f1585078997at_nat(cOMBB_nat_nat_nat,fact_fact_nat),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,plus_plus_nat),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,hAPP_r474017924t_real(power_power_real,X_1)),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))))))))).
% 114.84/113.72  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)))).
% 114.84/113.72  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))->hAPP_real_real(ln,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),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min)))),hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,hAPP_r1250527377l_real(inverse_divide_real,one_one_real)),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,plus_plus_nat),one_one_nat)))))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,hAPP_r474017924t_real(power_power_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X_1),one_one_real))),suc))))).
% 114.84/113.72  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,X_1)),one_one_real))->hBOOL(summable_real(hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min)))),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,hAPP_r1250527377l_real(inverse_divide_real,one_one_real)),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,hAPP_f1639111240at_nat(hAPP_f1731313045at_nat(cOMBB_963856155at_nat,plus_plus_nat),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,times_times_nat),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),one_one_nat))))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,hAPP_r474017924t_real(power_power_real,X_1)),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))))))).
% 114.84/113.72  all F (hBOOL(summable_real(hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,abs_abs_real),F)))->hBOOL(summable_real(F))).
% 114.84/113.72  all F G ((exists N_3 all N_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_3),N_2))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,hAPP_nat_real(F,N_2))),hAPP_nat_real(G,N_2)))))-> (hBOOL(summable_real(G))->hBOOL(summable_real(hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,abs_abs_real),F))))).
% 114.84/113.72  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))))).
% 114.84/113.72  all X_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),sin_coeff)),hAPP_r474017924t_real(power_power_real,X_1)))).
% 114.84/113.72  all X_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),cos_coeff)),hAPP_r474017924t_real(power_power_real,X_1)))).
% 114.84/113.72  all Pa (archim791455193or_rat(Pa)=hAPP_P1175774780nt_int(produc1298267108nt_int(div_div_int),quotient_of(Pa))).
% 114.84/113.72  all Pa (quotient_of(hAPP_rat_rat(uminus_uminus_rat,Pa))=hAPP_P1975530577nt_int(produc1518849193nt_int(hAPP_f1574055885nt_int(hAPP_f2054677283nt_int(cOMBB_782625832nt_int,product_Pair_int_int),uminus_uminus_int)),quotient_of(Pa))).
% 114.84/113.73  all X_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_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,inverse_inverse_real),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat)))),hAPP_r474017924t_real(power_power_real,X_1)))).
% 114.84/113.73  all Pa (quotient_of(hAPP_rat_rat(abs_abs_rat,Pa))=hAPP_P1975530577nt_int(produc1518849193nt_int(hAPP_f1574055885nt_int(hAPP_f2054677283nt_int(cOMBB_782625832nt_int,product_Pair_int_int),abs_abs_int)),quotient_of(Pa))).
% 114.84/113.73  all Aa Ba (divmod_int_rel(Aa,Ba)=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,Aa))),hAPP_f1760145644nt_int(hAPP_f1629352853nt_int(cOMBB_1496585939nt_int,plus_plus_int),hAPP_int_fun_int_int(times_times_int,Ba)))))),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),Ba))),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),Ba))))),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),Ba)))),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,Ba))),hAPP_i1948725293t_bool(hAPP_f428220345t_bool(cOMBC_int_int_bool,ord_less_e_q_int),zero_zero_int))))))).
% 114.84/113.73  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)))))).
% 114.84/113.73  all Pa (quotient_of(hAPP_rat_rat(inverse_inverse_rat,Pa))=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(Pa))).
% 114.84/113.73  all X_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_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,inverse_inverse_real),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),hAPP_f1914919701at_nat(hAPP_f1585078997at_nat(cOMBB_nat_nat_nat,fact_fact_nat),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,plus_plus_nat),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,hAPP_r474017924t_real(power_power_real,X_1)),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)))))))).
% 114.84/113.73  all Ba (adjust(Ba)=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),Ba))))),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),Ba))))),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)))))))).
% 114.84/113.73  all X0 F R_4 ((all X_2 (hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,X_2),hAPP_r1134773055l_bool(ord_gr788844697n_real(hAPP_real_real(uminus_uminus_real,R_4)),R_4)))->hBOOL(summable_real(hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),F)),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),suc)))),hAPP_r474017924t_real(power_power_real,X_2))))))-> (hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,X0),hAPP_r1134773055l_bool(ord_gr788844697n_real(hAPP_real_real(uminus_uminus_real,R_4)),R_4)))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),R_4))->hBOOL(hAPP_real_bool(deriv_real(hAPP_f1122023986l_real(hAPP_f1786887945l_real(cOMBB_1896127834l_real,suminf_real),hAPP_f1993765077t_real(hAPP_f895854793t_real(cOMBB_1948233853l_real,hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),F))),hAPP_f1501741374t_real(hAPP_f1135648319t_real(cOMBC_1329014627t_real,hAPP_f1163894827t_real(hAPP_f1998755145t_real(cOMBB_421464275l_real,cOMBB_nat_real_nat),power_power_real)),suc))),X0),hAPP_f352196356l_real(suminf_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),F)),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),suc)))),hAPP_r474017924t_real(power_power_real,X0)))))))).
% 114.84/113.73  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))).
% 114.84/113.73  all X_3 (hBOOL(summable_complex(X_3))->hAPP_complex_complex(cnj,hAPP_f213450978omplex(suminf_complex,X_3))=hAPP_f213450978omplex(suminf_complex,hAPP_f1646117269omplex(hAPP_f1457396693omplex(cOMBB_117013006ex_nat,cnj),X_3))).
% 114.84/113.73  all X_3 (hBOOL(summable_complex(X_3))->hBOOL(summable_complex(hAPP_f1646117269omplex(hAPP_f1457396693omplex(cOMBB_117013006ex_nat,cnj),X_3)))).
% 114.84/113.73  all X_3 (hBOOL(summable_complex(X_3))->hBOOL(summable_real(hAPP_f1290670424t_real(hAPP_f327026105t_real(cOMBB_722610049al_nat,re),X_3)))).
% 114.84/113.73  all X_3 (hBOOL(summable_complex(X_3))->hBOOL(summable_real(hAPP_f1290670424t_real(hAPP_f327026105t_real(cOMBB_722610049al_nat,im),X_3)))).
% 114.84/113.73  all X_3 (hBOOL(summable_complex(X_3))->hAPP_complex_real(re,hAPP_f213450978omplex(suminf_complex,X_3))=hAPP_f352196356l_real(suminf_real,hAPP_f1290670424t_real(hAPP_f327026105t_real(cOMBB_722610049al_nat,re),X_3))).
% 114.84/113.73  all X_3 (hBOOL(summable_complex(X_3))->hAPP_complex_real(im,hAPP_f213450978omplex(suminf_complex,X_3))=hAPP_f352196356l_real(suminf_real,hAPP_f1290670424t_real(hAPP_f327026105t_real(cOMBB_722610049al_nat,im),X_3))).
% 114.84/113.73  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)))))).
% 114.84/113.73  all M N ((N=zero_zero_nat|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))& (-(N=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N)))->divmod_nat(M,N)=hAPP_P1586233937at_nat(produc1391996073at_nat(hAPP_f837737749at_nat(hAPP_f999082675at_nat(cOMBB_348438404at_nat,product_Pair_nat_nat),suc)),divmod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),N),N)))).
% 114.84/113.73  all P_1 Aa Ba N (hAPP_n332733730l_real(bolzano_bisect(P_1,Aa,Ba),hAPP_nat_nat(suc,N))=hAPP_P1860904029l_real(produc595218619l_real(hAPP_f2072293513l_real(hAPP_f1763467369l_real(cOMBS_163651580l_real,hAPP_f1663701695l_real(hAPP_f774948957l_real(cOMBB_3698607l_real,cOMBS_902912708l_real),hAPP_f324002831l_real(hAPP_f677014621l_real(cOMBS_107495110l_real,hAPP_f1161935955l_real(hAPP_f328572565l_real(cOMBB_520243667l_real,cOMBS_794971624l_real),hAPP_f517738447l_real(hAPP_f1879982819l_real(cOMBB_731595089l_real,hAPP_f1076489843l_real(cOMBB_415306361l_real,if_Pro313124157l_real)),hAPP_f1884005689l_bool(hAPP_f172451459l_bool(cOMBB_421479067l_real,hAPP_f940061907l_bool(cOMBB_1795223523l_real,P_1)),hAPP_f320596107l_real(hAPP_f850851693l_real(cOMBS_193881978l_real,hAPP_f1119546819l_real(hAPP_f555557763l_real(cOMBB_422423973l_real,cOMBB_2107848501l_real),produc865579683l_real)),hAPP_r337325687l_real(hAPP_f1644353557l_real(cOMBC_1508019322l_real,hAPP_f1644353557l_real(hAPP_f1874145443l_real(cOMBB_1768400739l_real,cOMBC_real_real_real),hAPP_f1732848529l_real(hAPP_f1310479593l_real(cOMBB_2092576745l_real,hAPP_f1960414057l_real(cOMBB_882763271l_real,inverse_divide_real)),plus_plus_real))),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))))),hAPP_f1591894897l_real(hAPP_f644105375l_real(cOMBC_467724138l_real,hAPP_f1108539711l_real(hAPP_f1109256153l_real(cOMBB_44084907l_real,cOMBS_511527878l_real),hAPP_f823702159l_real(hAPP_f1040184293l_real(cOMBB_557258983l_real,hAPP_f2114902373l_real(cOMBB_237479429l_real,produc865579683l_real)),hAPP_r337325687l_real(hAPP_f1644353557l_real(cOMBC_1508019322l_real,hAPP_f1644353557l_real(hAPP_f1874145443l_real(cOMBB_1768400739l_real,cOMBC_real_real_real),hAPP_f1732848529l_real(hAPP_f1310479593l_real(cOMBB_2092576745l_real,hAPP_f1960414057l_real(cOMBB_882763271l_real,inverse_divide_real)),plus_plus_real))),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))),cOMBI_real)))),hAPP_f320596107l_real(hAPP_f850851693l_real(cOMBS_193881978l_real,hAPP_f1119546819l_real(hAPP_f555557763l_real(cOMBB_422423973l_real,cOMBB_2107848501l_real),produc865579683l_real)),hAPP_r337325687l_real(hAPP_f1644353557l_real(cOMBC_1508019322l_real,hAPP_f1644353557l_real(hAPP_f1874145443l_real(cOMBB_1768400739l_real,cOMBC_real_real_real),hAPP_f1732848529l_real(hAPP_f1310479593l_real(cOMBB_2092576745l_real,hAPP_f1960414057l_real(cOMBB_882763271l_real,inverse_divide_real)),plus_plus_real))),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))),hAPP_n332733730l_real(bolzano_bisect(P_1,Aa,Ba),N))).
% 114.84/113.73  all Aa R_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),R_2))-> (hBOOL(summable_real(Aa))-> (exists N_3 all N_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_3),N_2))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(abs_abs_real,hAPP_f352196356l_real(suminf_real,hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,Aa),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,plus_plus_nat),N_2))))),R_2)))))).
% 114.84/113.73  all L K_1 ((K_1=zero_zero_int->divmod_int(K_1,L)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,zero_zero_int),zero_zero_int))& (K_1!=zero_zero_int-> (L=zero_zero_int->divmod_int(K_1,L)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,zero_zero_int),K_1))& (L!=zero_zero_int->divmod_int(K_1,L)=hAPP_P1975530577nt_int(produc713050258nt_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(sgn_sgn_int,L))),hAPP_P1975530577nt_int(hAPP_P1145851913nt_int(hAPP_b40753821nt_int(if_Pro1731782967nt_int,fdisj(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),L)),hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),K_1)),hAPP_bool_bool(hAPP_b589554111l_bool(fconj,hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,L),zero_zero_int)),hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),zero_zero_int)))),pdivmod(K_1,L)),hAPP_P1975530577nt_int(produc1518849193nt_int(hAPP_f465821005nt_int(hAPP_f1081447804nt_int(cOMBS_1470252563nt_int,hAPP_f617310012nt_int(hAPP_f197974549nt_int(cOMBB_638531587nt_int,cOMBS_1891347093nt_int),hAPP_f1148171384nt_int(hAPP_f334321603nt_int(cOMBB_1484610687nt_int,hAPP_f1582586579nt_int(cOMBC_707974837nt_int,hAPP_f251264923nt_int(hAPP_f279307923nt_int(cOMBB_662120866nt_int,if_Pro1731782967nt_int),hAPP_i1948725293t_bool(hAPP_f428220345t_bool(cOMBC_int_int_bool,fe_qual_int),zero_zero_int)))),hAPP_i1584592887nt_int(hAPP_f465821005nt_int(cOMBC_1964283556nt_int,hAPP_f1574055885nt_int(hAPP_f2054677283nt_int(cOMBB_782625832nt_int,product_Pair_int_int),uminus_uminus_int)),zero_zero_int)))),hAPP_f1574055885nt_int(hAPP_f960630521nt_int(cOMBC_1805044090nt_int,hAPP_f142232355nt_int(hAPP_f1377453843nt_int(cOMBB_320287386nt_int,cOMBB_1846624359nt_int),hAPP_f1574055885nt_int(hAPP_f2054677283nt_int(cOMBB_782625832nt_int,product_Pair_int_int),hAPP_int_fun_int_int(hAPP_f2135977429nt_int(cOMBC_int_int_int,hAPP_f1760145644nt_int(hAPP_f1629352853nt_int(cOMBB_1496585939nt_int,minus_minus_int),uminus_uminus_int)),one_one_int)))),hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(abs_abs_int,L))))),pdivmod(K_1,L))))))).
% 114.84/113.73  negateSnd=produc713050258nt_int(uminus_uminus_int).
% 114.84/113.73  all L K_1 ((K_1=zero_zero_int->divmod_int(K_1,L)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,zero_zero_int),zero_zero_int))& (K_1!=zero_zero_int-> (L=zero_zero_int->divmod_int(K_1,L)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,zero_zero_int),K_1))& (L!=zero_zero_int->divmod_int(K_1,L)=hAPP_P1975530577nt_int(produc713050258nt_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(sgn_sgn_int,L))),hAPP_P1975530577nt_int(hAPP_P1145851913nt_int(hAPP_b40753821nt_int(if_Pro1731782967nt_int,hAPP_int_bool(hAPP_i1948725293t_bool(fe_qual_int,hAPP_int_int(sgn_sgn_int,K_1)),hAPP_int_int(sgn_sgn_int,L))),pdivmod(K_1,L)),hAPP_P1975530577nt_int(produc1518849193nt_int(hAPP_f465821005nt_int(hAPP_f1081447804nt_int(cOMBS_1470252563nt_int,hAPP_f617310012nt_int(hAPP_f197974549nt_int(cOMBB_638531587nt_int,cOMBS_1891347093nt_int),hAPP_f1148171384nt_int(hAPP_f334321603nt_int(cOMBB_1484610687nt_int,hAPP_f1582586579nt_int(cOMBC_707974837nt_int,hAPP_f251264923nt_int(hAPP_f279307923nt_int(cOMBB_662120866nt_int,if_Pro1731782967nt_int),hAPP_i1948725293t_bool(hAPP_f428220345t_bool(cOMBC_int_int_bool,fe_qual_int),zero_zero_int)))),hAPP_i1584592887nt_int(hAPP_f465821005nt_int(cOMBC_1964283556nt_int,hAPP_f1574055885nt_int(hAPP_f2054677283nt_int(cOMBB_782625832nt_int,product_Pair_int_int),uminus_uminus_int)),zero_zero_int)))),hAPP_f1574055885nt_int(hAPP_f960630521nt_int(cOMBC_1805044090nt_int,hAPP_f142232355nt_int(hAPP_f1377453843nt_int(cOMBB_320287386nt_int,cOMBB_1846624359nt_int),hAPP_f1574055885nt_int(hAPP_f2054677283nt_int(cOMBB_782625832nt_int,product_Pair_int_int),hAPP_int_fun_int_int(hAPP_f2135977429nt_int(cOMBC_int_int_int,hAPP_f1760145644nt_int(hAPP_f1629352853nt_int(cOMBB_1496585939nt_int,minus_minus_int),uminus_uminus_int)),one_one_int)))),hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(abs_abs_int,L))))),pdivmod(K_1,L))))))).
% 114.84/113.73  all F G ((all N_2 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,hAPP_nat_real(F,N_2))),hAPP_nat_real(G,N_2))))-> (hBOOL(summable_real(G))->hBOOL(summable_real(F))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_f352196356l_real(suminf_real,F)),hAPP_f352196356l_real(suminf_real,G))))).
% 114.84/113.73  all F (hBOOL(summable_real(F))-> ((all N_2 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(F,N_2))))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_f352196356l_real(suminf_real,F))))).
% 114.84/113.73  all F (hBOOL(summable_real(F))-> ((all N_2 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_nat_real(F,N_2))))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_f352196356l_real(suminf_real,F))))).
% 114.84/113.73  all F ((all N_2 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_nat_real(F,N_2))))-> (hBOOL(summable_real(F))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_f352196356l_real(suminf_real,F))))).
% 114.84/113.73  all D (int_ge_less_than(D)=collec1347809874nt_int(produc93441119t_bool(hAPP_f428220345t_bool(hAPP_f1878066172t_bool(cOMBS_1720984575t_bool,hAPP_f1315737299t_bool(hAPP_f538565589t_bool(cOMBB_1211207212ol_int,cOMBB_bool_bool_int),hAPP_f2144054103l_bool(hAPP_f1734373249l_bool(cOMBB_1652995168ol_int,fconj),hAPP_i1948725293t_bool(ord_less_e_q_int,D)))),ord_less_int)))).
% 114.84/113.73  all D (int_ge_less_than2(D)=collec1347809874nt_int(produc93441119t_bool(hAPP_f428220345t_bool(hAPP_f654702867t_bool(cOMBB_591320580ol_int,hAPP_f727283836t_bool(cOMBS_int_bool_bool,hAPP_f2144054103l_bool(hAPP_f1734373249l_bool(cOMBB_1652995168ol_int,fconj),hAPP_i1948725293t_bool(ord_less_e_q_int,D)))),ord_less_int)))).
% 114.84/113.73  all X_1 hBOOL(hAPP_real_bool(sums_real(hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min)))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),hAPP_f1914919701at_nat(hAPP_f1585078997at_nat(cOMBB_nat_nat_nat,fact_fact_nat),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,hAPP_f1639111240at_nat(hAPP_f1731313045at_nat(cOMBB_963856155at_nat,plus_plus_nat),hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),one_one_nat)))))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,hAPP_r474017924t_real(power_power_real,X_1)),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,hAPP_f1639111240at_nat(hAPP_f1731313045at_nat(cOMBB_963856155at_nat,plus_plus_nat),hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),one_one_nat)))),hAPP_real_real(sin,X_1))).
% 114.84/113.73  all X_1 hBOOL(hAPP_real_bool(sums_real(hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),sin_coeff)),hAPP_r474017924t_real(power_power_real,X_1))),hAPP_real_real(sin,X_1))).
% 114.84/113.73  all X_1 hBOOL(hAPP_real_bool(sums_real(hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),cos_coeff)),hAPP_r474017924t_real(power_power_real,X_1))),hAPP_real_real(cos,X_1))).
% 114.84/113.73  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)).
% 114.84/113.73  all X_1 hBOOL(hAPP_real_bool(sums_real(hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),hAPP_r474017924t_real(power_power_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,one_one_real),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))).
% 114.84/113.73  all G X_1 (hBOOL(hAPP_real_bool(sums_real(G),X_1))->hBOOL(hAPP_real_bool(sums_real(hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_r195310020l_real(hAPP_f2126667875l_real(cOMBC_746811033l_real,hAPP_f1129044203l_real(hAPP_f264196187l_real(cOMBB_1480366270al_nat,if_real),even_odd_even_nat)),zero_zero_real)),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,G),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,hAPP_f1639111240at_nat(hAPP_f1731313045at_nat(cOMBB_963856155at_nat,div_div_nat),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,minus_minus_nat),one_one_nat))),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))),X_1))).
% 114.84/113.73  all F Y_2 G X_1 (hBOOL(hAPP_real_bool(sums_real(G),X_1))-> (hBOOL(hAPP_real_bool(sums_real(F),Y_2))->hBOOL(hAPP_real_bool(sums_real(hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f335634176l_real(cOMBS_337378985l_real,hAPP_f1129044203l_real(hAPP_f264196187l_real(cOMBB_1480366270al_nat,if_real),even_odd_even_nat)),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,F),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,div_div_nat),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,G),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,hAPP_f1639111240at_nat(hAPP_f1731313045at_nat(cOMBB_963856155at_nat,div_div_nat),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,minus_minus_nat),one_one_nat))),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_1),Y_2))))).
% 114.84/113.73  all X_1 hBOOL(hAPP_real_bool(sums_real(hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min)))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),hAPP_f1914919701at_nat(hAPP_f1585078997at_nat(cOMBB_nat_nat_nat,fact_fact_nat),hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,hAPP_r474017924t_real(power_power_real,X_1)),hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))),hAPP_real_real(cos,X_1))).
% 114.84/113.73  all X_3 Aa (hBOOL(hAPP_complex_bool(sums_complex(X_3),Aa))->hBOOL(hAPP_complex_bool(sums_complex(hAPP_f1646117269omplex(hAPP_f1457396693omplex(cOMBB_117013006ex_nat,cnj),X_3)),hAPP_complex_complex(cnj,Aa)))).
% 114.84/113.73  all X_3 Aa (hBOOL(hAPP_complex_bool(sums_complex(X_3),Aa))->hBOOL(hAPP_real_bool(sums_real(hAPP_f1290670424t_real(hAPP_f327026105t_real(cOMBB_722610049al_nat,re),X_3)),hAPP_complex_real(re,Aa)))).
% 114.84/113.73  all X_3 Aa (hBOOL(hAPP_complex_bool(sums_complex(X_3),Aa))->hBOOL(hAPP_real_bool(sums_real(hAPP_f1290670424t_real(hAPP_f327026105t_real(cOMBB_722610049al_nat,im),X_3)),hAPP_complex_real(im,Aa)))).
% 114.84/113.73  all N (hAPP_nat_real(diffs_real(sin_coeff),N)=hAPP_nat_real(cos_coeff,N)).
% 114.84/113.73  diffs_real(sin_coeff)=cos_coeff.
% 114.84/113.73  all X_2 (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_2)=hAPP_real_real(inverse_inverse_real,hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,X_2)))).
% 114.84/113.73  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(nat_case_bool(fFalse,hAPP_n1699378549t_bool(ord_less_e_q_nat,M)),N))).
% 114.84/113.73  all X_2 (hAPP_nat_real(diffs_real(cos_coeff),X_2)=hAPP_real_real(uminus_uminus_real,hAPP_nat_real(sin_coeff,X_2))).
% 114.84/113.73  all N (hAPP_nat_real(diffs_real(cos_coeff),N)=hAPP_real_real(uminus_uminus_real,hAPP_nat_real(sin_coeff,N))).
% 114.84/113.73  all M N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),hAPP_nat_nat(suc,N))=hAPP_nat_nat(nat_case_nat(zero_zero_nat,cOMBI_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),N))).
% 114.84/113.73  all F G ((all N_2 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(F,N_2)),hAPP_nat_real(G,N_2))))-> (hBOOL(summable_real(F))-> (hBOOL(summable_real(G))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_f352196356l_real(suminf_real,F)),hAPP_f352196356l_real(suminf_real,G)))))).
% 114.84/113.73  all Y_2 (hAPP_real_real(arctan,Y_2)=the_real(hAPP_f1861673493l_bool(hAPP_f1010710745l_bool(cOMBS_real_bool_bool,hAPP_f60716669l_bool(hAPP_f1485493409l_bool(cOMBB_624415285l_real,fconj),hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))),hAPP_f1861673493l_bool(hAPP_f1010710745l_bool(cOMBS_real_bool_bool,hAPP_f60716669l_bool(hAPP_f1485493409l_bool(cOMBB_624415285l_real,fconj),hAPP_r1134773055l_bool(hAPP_f695504873l_bool(cOMBC_real_real_bool,ord_less_real),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))),hAPP_r1134773055l_bool(hAPP_f695504873l_bool(cOMBC_real_real_bool,hAPP_f1393328161l_bool(hAPP_f1900646853l_bool(cOMBB_430461877l_real,fe_qual_real),tan)),Y_2))))).
% 114.84/113.73  all Y_2 (hAPP_real_real(arcsin,Y_2)=the_real(hAPP_f1861673493l_bool(hAPP_f1010710745l_bool(cOMBS_real_bool_bool,hAPP_f60716669l_bool(hAPP_f1485493409l_bool(cOMBB_624415285l_real,fconj),hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))),hAPP_f1861673493l_bool(hAPP_f1010710745l_bool(cOMBS_real_bool_bool,hAPP_f60716669l_bool(hAPP_f1485493409l_bool(cOMBB_624415285l_real,fconj),hAPP_r1134773055l_bool(hAPP_f695504873l_bool(cOMBC_real_real_bool,ord_less_e_q_real),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))),hAPP_r1134773055l_bool(hAPP_f695504873l_bool(cOMBC_real_real_bool,hAPP_f1393328161l_bool(hAPP_f1900646853l_bool(cOMBB_430461877l_real,fe_qual_real),sin)),Y_2))))).
% 114.84/113.73  all X_1 (hAPP_real_real(ln,X_1)=the_real(hAPP_r1134773055l_bool(hAPP_f695504873l_bool(cOMBC_real_real_bool,hAPP_f1393328161l_bool(hAPP_f1900646853l_bool(cOMBB_430461877l_real,fe_qual_real),exp_real)),X_1))).
% 114.84/113.73  all N X_1 ((hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))->hAPP_real_real(hAPP_n546711566l_real(root,N),X_1)=the_real(hAPP_f1861673493l_bool(hAPP_f1010710745l_bool(cOMBS_real_bool_bool,hAPP_f60716669l_bool(hAPP_f1485493409l_bool(cOMBB_624415285l_real,fconj),hAPP_r1134773055l_bool(ord_less_real,zero_zero_real))),hAPP_r1134773055l_bool(hAPP_f695504873l_bool(cOMBC_real_real_bool,hAPP_f1393328161l_bool(hAPP_f1900646853l_bool(cOMBB_430461877l_real,fe_qual_real),hAPP_n546711566l_real(hAPP_f248847589l_real(cOMBC_real_nat_real,power_power_real),N))),X_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),zero_zero_real))->hAPP_real_real(hAPP_n546711566l_real(root,N),X_1)=hAPP_real_real(uminus_uminus_real,the_real(hAPP_f1861673493l_bool(hAPP_f1010710745l_bool(cOMBS_real_bool_bool,hAPP_f60716669l_bool(hAPP_f1485493409l_bool(cOMBB_624415285l_real,fconj),hAPP_r1134773055l_bool(ord_less_real,zero_zero_real))),hAPP_r1134773055l_bool(hAPP_f695504873l_bool(cOMBC_real_real_bool,hAPP_f1393328161l_bool(hAPP_f1900646853l_bool(cOMBB_430461877l_real,fe_qual_real),hAPP_n546711566l_real(hAPP_f248847589l_real(cOMBC_real_nat_real,power_power_real),N))),hAPP_real_real(uminus_uminus_real,X_1))))))& (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),zero_zero_real))->hAPP_real_real(hAPP_n546711566l_real(root,N),X_1)=zero_zero_real))).
% 114.84/113.73  all Y_2 (hAPP_real_real(arccos,Y_2)=the_real(hAPP_f1861673493l_bool(hAPP_f1010710745l_bool(cOMBS_real_bool_bool,hAPP_f60716669l_bool(hAPP_f1485493409l_bool(cOMBB_624415285l_real,fconj),hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real))),hAPP_f1861673493l_bool(hAPP_f1010710745l_bool(cOMBS_real_bool_bool,hAPP_f60716669l_bool(hAPP_f1485493409l_bool(cOMBB_624415285l_real,fconj),hAPP_r1134773055l_bool(hAPP_f695504873l_bool(cOMBC_real_real_bool,ord_less_e_q_real),pi))),hAPP_r1134773055l_bool(hAPP_f695504873l_bool(cOMBC_real_real_bool,hAPP_f1393328161l_bool(hAPP_f1900646853l_bool(cOMBB_430461877l_real,fe_qual_real),cos)),Y_2))))).
% 114.84/113.73  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))))).
% 114.84/113.73  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)))).
% 114.84/113.73  all M N (divmod_nat(M,N)=the_Pr588456374at_nat(divmod_nat_rel(M,N))).
% 114.84/113.73  all X_1 (archim1246769320r_real(X_1)=the_int(hAPP_f1805168059t_bool(hAPP_f727283836t_bool(cOMBS_int_bool_bool,hAPP_f2144054103l_bool(hAPP_f1734373249l_bool(cOMBB_1652995168ol_int,fconj),hAPP_r481142414t_bool(hAPP_f1845081853t_bool(cOMBC_int_real_bool,hAPP_f801032407l_bool(hAPP_f499530369l_bool(cOMBB_1317819104ol_int,ord_less_e_q_real),ring_1_of_int_real)),X_1))),hAPP_f429384717t_bool(hAPP_f1173902867t_bool(cOMBB_real_bool_int,hAPP_r1134773055l_bool(ord_less_real,X_1)),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)))))).
% 114.84/113.73  all X_1 (archim791455193or_rat(X_1)=the_int(hAPP_f1805168059t_bool(hAPP_f727283836t_bool(cOMBS_int_bool_bool,hAPP_f2144054103l_bool(hAPP_f1734373249l_bool(cOMBB_1652995168ol_int,fconj),hAPP_r1900510169t_bool(hAPP_f1480506641t_bool(cOMBC_int_rat_bool,hAPP_f601898971t_bool(hAPP_f857296063t_bool(cOMBB_214503962ol_int,ord_less_e_q_rat),ring_1_of_int_rat)),X_1))),hAPP_f1241350704t_bool(hAPP_f1131424617t_bool(cOMBB_rat_bool_int,hAPP_r2115560837t_bool(ord_less_rat,X_1)),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)))))).
% 114.84/113.73  all Aa A M ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),M))&hBOOL(hAPP_int_bool(is_RRset(A),M))&hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Aa),A))->hAPP_int_int(rRset2norRR(A,M),Aa)=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(Aa)),M))),hAPP_f1805168059t_bool(hAPP_f202917053t_bool(cOMBC_94739984l_bool,member_int),hAPP_i1948725293t_bool(norRRset,M)))))& (-(hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),M))&hBOOL(hAPP_int_bool(is_RRset(A),M))&hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Aa),A)))->hAPP_int_int(rRset2norRR(A,M),Aa)=zero_zero_int)).
% 114.84/113.73  all Aa A M (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),M))-> (hBOOL(hAPP_int_bool(is_RRset(A),M))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Aa),A))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Aa),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(Aa)),M))),hAPP_f1805168059t_bool(hAPP_f202917053t_bool(cOMBC_94739984l_bool,member_int),hAPP_i1948725293t_bool(norRRset,M))))),M))&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(Aa)),M))),hAPP_f1805168059t_bool(hAPP_f202917053t_bool(cOMBC_94739984l_bool,member_int),hAPP_i1948725293t_bool(norRRset,M))))),hAPP_i1948725293t_bool(norRRset,M)))))).
% 114.84/113.73  all X_1 N hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(sin,X_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_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_r195310020l_real(hAPP_f2126667875l_real(cOMBC_746811033l_real,hAPP_f1129044203l_real(hAPP_f264196187l_real(cOMBB_1480366270al_nat,if_real),even_odd_even_nat)),zero_zero_real)),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min))),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,hAPP_f1639111240at_nat(hAPP_f1731313045at_nat(cOMBB_963856155at_nat,div_div_nat),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,minus_minus_nat),hAPP_nat_nat(suc,zero_zero_nat)))),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat))))),hAPP_r474017924t_real(power_power_real,X_1))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(inverse_inverse_real,hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(abs_abs_real,X_1)),N)))).
% 114.84/113.73  all U F ((all N_2 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_2),hAPP_nat_nat(F,N_2))))->hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,hAPP_f618557131t_bool(hAPP_f1505651103t_bool(cOMBB_800536526ol_nat,ord_less_e_q_nat),F)),U))))).
% 114.84/113.73  all L U hBOOL(hAPP_f54304608l_bool(finite_finite_nat,hAPP_n1699378549t_bool(ord_at4362885an_nat(L),U))).
% 114.84/113.73  all F N R_2 (hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,F),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N)),R_2))=hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_r474017924t_real(hAPP_f42270917t_real(cOMBC_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,minus_minus_real),F)),R_2)),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))).
% 114.84/113.73  all K_1 N_2 F_2 (hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,F_2),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_2),K_1)))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,F_2),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,plus_plus_nat),K_1))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N_2))),hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,F_2),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),K_1)))).
% 114.84/113.73  all K_1 N F_2 (hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,F_2),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,plus_plus_nat),K_1))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,F_2),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N),K_1)))),hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,F_2),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),K_1)))).
% 114.84/113.73  all F N (hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),F)),hAPP_r474017924t_real(power_power_real,zero_zero_real))),hAPP_n1699378549t_bool(ord_at4362885an_nat(hAPP_nat_nat(suc,zero_zero_nat)),N))=zero_zero_real).
% 114.84/113.73  all P_1 N ((all M_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_2),N))->hBOOL(hAPP_nat_bool(P_1,M_2))))<-> (all X_2 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N)))->hBOOL(hAPP_nat_bool(P_1,X_2))))).
% 114.84/113.73  all P_1 N ((exists M_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_2),N))&hBOOL(hAPP_nat_bool(P_1,M_2))))<-> (exists X_2 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N)))&hBOOL(hAPP_nat_bool(P_1,X_2))))).
% 114.84/113.73  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)).
% 114.84/113.73  all N X_1 (X_1!=one_one_real->hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_r474017924t_real(power_power_real,X_1)),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_1),N)),one_one_real)),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X_1),one_one_real))).
% 114.84/113.73  all L U (hAPP_n1699378549t_bool(ord_at4362885an_nat(hAPP_nat_nat(suc,L)),U)=hAPP_n1699378549t_bool(ord_gr660468384an_nat(L),U)).
% 114.84/113.73  all K_1 I_1 J (image_nat_nat(hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,plus_plus_nat),K_1),hAPP_n1699378549t_bool(ord_at4362885an_nat(I_1),J))=hAPP_n1699378549t_bool(ord_at4362885an_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_1),K_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J),K_1))).
% 114.84/113.73  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))).
% 114.84/113.73  all Diff N X_1 (X_1=zero_zero_real-> (N!=zero_zero_nat->hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_r474017924t_real(hAPP_f42270917t_real(cOMBC_nat_real_real,Diff),zero_zero_real))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat)))),hAPP_r474017924t_real(power_power_real,X_1))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))=hAPP_real_real(hAPP_n546711566l_real(Diff,zero_zero_nat),zero_zero_real))).
% 114.84/113.73  all A K_1 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),hAPP_n1699378549t_bool(ord_at4362885an_nat(K_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_1),hAPP_f22106695ol_nat(finite_card_nat,A)))))->A=hAPP_n1699378549t_bool(ord_at4362885an_nat(K_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_1),hAPP_f22106695ol_nat(finite_card_nat,A)))).
% 114.84/113.73  all F G N (hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f335634176l_real(cOMBS_337378985l_real,hAPP_f1129044203l_real(hAPP_f264196187l_real(cOMBB_1480366270al_nat,if_real),even_odd_even_nat)),F)),G)),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N)))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,F),hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,G),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,hAPP_f1639111240at_nat(hAPP_f1731313045at_nat(cOMBB_963856155at_nat,plus_plus_nat),hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),one_one_nat))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N)))).
% 114.84/113.73  all N (hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min))),suc)),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N)))=zero_zero_real).
% 114.84/113.73  all N (hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_r474017924t_real(hAPP_f42270917t_real(cOMBC_nat_real_real,hAPP_f451358433l_real(hAPP_f335634176l_real(cOMBS_337378985l_real,hAPP_f1129044203l_real(hAPP_f264196187l_real(cOMBB_1480366270al_nat,if_real),even_odd_even_nat)),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min))),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,div_div_nat),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat)))),hAPP_r474017924t_real(power_power_real,zero_zero_real)))),zero_zero_real)),hAPP_n1699378549t_bool(ord_at4362885an_nat(one_one_nat),N))=zero_zero_real).
% 114.84/113.73  all N (hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_r474017924t_real(hAPP_f42270917t_real(cOMBC_nat_real_real,hAPP_f451358433l_real(hAPP_f335634176l_real(cOMBS_337378985l_real,hAPP_f1129044203l_real(hAPP_f264196187l_real(cOMBB_1480366270al_nat,if_real),even_odd_even_nat)),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min))),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,div_div_nat),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat)))),zero_zero_real))),hAPP_r474017924t_real(power_power_real,zero_zero_real))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),hAPP_nat_nat(suc,N)))=one_one_real).
% 114.84/113.73  all N X_1 exists T_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,T_1)),hAPP_real_real(abs_abs_real,X_1)))&hAPP_real_real(sin,X_1)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_r195310020l_real(hAPP_f2126667875l_real(cOMBC_746811033l_real,hAPP_f1129044203l_real(hAPP_f264196187l_real(cOMBB_1480366270al_nat,if_real),even_odd_even_nat)),zero_zero_real)),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min))),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,hAPP_f1639111240at_nat(hAPP_f1731313045at_nat(cOMBB_963856155at_nat,div_div_nat),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,minus_minus_nat),hAPP_nat_nat(suc,zero_zero_nat)))),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat))))),hAPP_r474017924t_real(power_power_real,X_1))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(sin,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,T_1),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,one_one_real),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_real(real_nat,N))),pi)))),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_1),N)))).
% 114.84/113.73  all N X_1 exists T_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,T_1)),hAPP_real_real(abs_abs_real,X_1)))&hAPP_real_real(cos,X_1)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_r474017924t_real(hAPP_f42270917t_real(cOMBC_nat_real_real,hAPP_f451358433l_real(hAPP_f335634176l_real(cOMBS_337378985l_real,hAPP_f1129044203l_real(hAPP_f264196187l_real(cOMBB_1480366270al_nat,if_real),even_odd_even_nat)),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min))),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,div_div_nat),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat)))),zero_zero_real))),hAPP_r474017924t_real(power_power_real,X_1))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(cos,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,T_1),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,one_one_real),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_real(real_nat,N))),pi)))),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_1),N)))).
% 114.84/113.73  all L U hBOOL(hAPP_f448129468l_bool(finite_finite_int,hAPP_i1948725293t_bool(ord_at641636577an_int(L),U))).
% 114.84/113.73  all U hBOOL(hAPP_f448129468l_bool(finite_finite_int,hAPP_i1948725293t_bool(ord_at641636577an_int(zero_zero_int),U))).
% 114.84/113.73  all Y_2 X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_2),X_1))->comple124823625p_real(hAPP_r1134773055l_bool(ord_at1496968948n_real(Y_2),X_1))=X_1).
% 114.84/113.73  all U (hAPP_f957591787ol_nat(finite_card_int,hAPP_i1948725293t_bool(ord_at641636577an_int(zero_zero_int),U))=hAPP_int_nat(nat,U)).
% 114.84/113.73  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))).
% 114.84/113.73  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)).
% 114.84/113.73  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)).
% 114.84/113.73  all X_1 N exists T_1 (hAPP_real_real(sin,X_1)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_r195310020l_real(hAPP_f2126667875l_real(cOMBC_746811033l_real,hAPP_f1129044203l_real(hAPP_f264196187l_real(cOMBB_1480366270al_nat,if_real),even_odd_even_nat)),zero_zero_real)),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min))),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,hAPP_f1639111240at_nat(hAPP_f1731313045at_nat(cOMBB_963856155at_nat,div_div_nat),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,minus_minus_nat),hAPP_nat_nat(suc,zero_zero_nat)))),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat))))),hAPP_r474017924t_real(power_power_real,X_1))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(sin,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,T_1),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,one_one_real),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_real(real_nat,N))),pi)))),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_1),N)))).
% 114.84/113.73  all B K_1 Diff H N ((all M_2 T_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_2),N))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),T_1))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,T_1),H))->hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(Diff,M_2),T_1),hAPP_real_real(hAPP_n546711566l_real(Diff,hAPP_nat_nat(suc,M_2)),T_1)))))-> (N=hAPP_nat_nat(suc,K_1)-> (all M_2 T_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_2),N))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),T_1))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,T_1),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_2))),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_2))),zero_zero_real))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat))))),power_power_real))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),M_2))))),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,N),M_2)))),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),M_2))))))),T_1),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(hAPP_n546711566l_real(Diff,hAPP_nat_nat(suc,M_2)),T_1)),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_2)))),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_1))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),hAPP_nat_nat(suc,M_2))))),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_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),hAPP_nat_nat(suc,M_2)))),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),hAPP_nat_nat(suc,M_2)))))))))))))).
% 114.84/113.73  all N X_1 (X_1!=zero_zero_real-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))-> (exists T_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(abs_abs_real,T_1)))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(abs_abs_real,T_1)),hAPP_real_real(abs_abs_real,X_1)))&hAPP_real_real(exp_real,X_1)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_r474017924t_real(power_power_real,X_1))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(exp_real,T_1)),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_1),N))))))).
% 114.84/113.73  all N X_1 exists T_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,T_1)),hAPP_real_real(abs_abs_real,X_1)))&hAPP_real_real(exp_real,X_1)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_r474017924t_real(power_power_real,X_1))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(exp_real,T_1)),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_1),N)))).
% 114.84/113.73  all K_1 F (hBOOL(summable_real(F))-> ((all D_2 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(F,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat))),D_2)))),hAPP_nat_real(F,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat))),D_2)),one_one_nat)))))))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,F),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),K_1))),hAPP_f352196356l_real(suminf_real,F))))).
% 114.84/113.73  all F J N H (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),H))-> (exists B_5 (hAPP_real_real(F,H)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),J)),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat)))),hAPP_r474017924t_real(power_power_real,H))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_5),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,H),N)),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N)))))))).
% 114.84/113.73  all N F (hBOOL(summable_real(F))-> ((all M_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),M_2))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(F,M_2)))))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,F),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_f352196356l_real(suminf_real,F))))).
% 114.84/113.73  all N F (hBOOL(summable_real(F))-> ((all M_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),M_2))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_nat_real(F,M_2)))))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,F),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_f352196356l_real(suminf_real,F))))).
% 114.84/113.73  all N X_1 Diff F (hAPP_n546711566l_real(Diff,zero_zero_nat)=F& (all M_2 X_2 hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(Diff,M_2),X_2),hAPP_real_real(hAPP_n546711566l_real(Diff,hAPP_nat_nat(suc,M_2)),X_2))))&X_1!=zero_zero_real&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))-> (exists T_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(abs_abs_real,T_1)))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(abs_abs_real,T_1)),hAPP_real_real(abs_abs_real,X_1)))&hAPP_real_real(F,X_1)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_r474017924t_real(hAPP_f42270917t_real(cOMBC_nat_real_real,Diff),zero_zero_real))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat)))),hAPP_r474017924t_real(power_power_real,X_1))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_n546711566l_real(Diff,N),T_1)),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_1),N)))))).
% 114.84/113.73  all X_1 N Diff F (hAPP_n546711566l_real(Diff,zero_zero_nat)=F-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))-> (X_1!=zero_zero_real-> ((all M_2 X_2 hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(Diff,M_2),X_2),hAPP_real_real(hAPP_n546711566l_real(Diff,hAPP_nat_nat(suc,M_2)),X_2))))-> (exists T_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(abs_abs_real,T_1)))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(abs_abs_real,T_1)),hAPP_real_real(abs_abs_real,X_1)))&hAPP_real_real(F,X_1)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_r474017924t_real(hAPP_f42270917t_real(cOMBC_nat_real_real,Diff),zero_zero_real))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat)))),hAPP_r474017924t_real(power_power_real,X_1))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_n546711566l_real(Diff,N),T_1)),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_1),N))))))))).
% 114.84/113.73  all X_1 N Diff F (hAPP_n546711566l_real(Diff,zero_zero_nat)=F-> ((all M_2 T_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_2),N))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,T_1)),hAPP_real_real(abs_abs_real,X_1)))->hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(Diff,M_2),T_1),hAPP_real_real(hAPP_n546711566l_real(Diff,hAPP_nat_nat(suc,M_2)),T_1)))))-> (exists T_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,T_1)),hAPP_real_real(abs_abs_real,X_1)))&hAPP_real_real(F,X_1)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_r474017924t_real(hAPP_f42270917t_real(cOMBC_nat_real_real,Diff),zero_zero_real))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat)))),hAPP_r474017924t_real(power_power_real,X_1))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_n546711566l_real(Diff,N),T_1)),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_1),N))))))).
% 114.84/113.73  all Diff F N H (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,H),zero_zero_real))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))-> (hAPP_n546711566l_real(Diff,zero_zero_nat)=F-> ((all M_2 T_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_2),N))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,H),T_1))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,T_1),zero_zero_real))->hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(Diff,M_2),T_1),hAPP_real_real(hAPP_n546711566l_real(Diff,hAPP_nat_nat(suc,M_2)),T_1)))))-> (exists T_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,H),T_1))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,T_1),zero_zero_real))&hAPP_real_real(F,H)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_r474017924t_real(hAPP_f42270917t_real(cOMBC_nat_real_real,Diff),zero_zero_real))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat)))),hAPP_r474017924t_real(power_power_real,H))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_n546711566l_real(Diff,N),T_1)),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,H),N))))))))).
% 114.84/113.73  all N Diff F H (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),H))-> (hAPP_n546711566l_real(Diff,zero_zero_nat)=F-> ((all M_2 T_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_2),N))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),T_1))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,T_1),H))->hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(Diff,M_2),T_1),hAPP_real_real(hAPP_n546711566l_real(Diff,hAPP_nat_nat(suc,M_2)),T_1)))))-> (exists T_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),T_1))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,T_1),H))&hAPP_real_real(F,H)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_r474017924t_real(hAPP_f42270917t_real(cOMBC_nat_real_real,Diff),zero_zero_real))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat)))),hAPP_r474017924t_real(power_power_real,H))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_n546711566l_real(Diff,N),T_1)),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,H),N)))))))).
% 114.94/113.73  all Diff F N H (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),H))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))&hAPP_n546711566l_real(Diff,zero_zero_nat)=F& (all M_2 T_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_2),N))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),T_1))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,T_1),H))->hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(Diff,M_2),T_1),hAPP_real_real(hAPP_n546711566l_real(Diff,hAPP_nat_nat(suc,M_2)),T_1)))))-> (exists T_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),T_1))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,T_1),H))&hAPP_real_real(F,H)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_r474017924t_real(hAPP_f42270917t_real(cOMBC_nat_real_real,Diff),zero_zero_real))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat)))),hAPP_r474017924t_real(power_power_real,H))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_n546711566l_real(Diff,N),T_1)),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,H),N)))))).
% 114.94/113.73  all N Diff F H (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),H))&hAPP_n546711566l_real(Diff,zero_zero_nat)=F& (all M_2 T_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_2),N))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),T_1))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,T_1),H))->hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(Diff,M_2),T_1),hAPP_real_real(hAPP_n546711566l_real(Diff,hAPP_nat_nat(suc,M_2)),T_1)))))-> (exists T_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),T_1))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,T_1),H))&hAPP_real_real(F,H)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_r474017924t_real(hAPP_f42270917t_real(cOMBC_nat_real_real,Diff),zero_zero_real))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat)))),hAPP_r474017924t_real(power_power_real,H))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_n546711566l_real(Diff,N),T_1)),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,H),N)))))).
% 114.94/113.73  all Diff F N H (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),H))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))-> (hAPP_n546711566l_real(Diff,zero_zero_nat)=F-> ((all M_2 T_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_2),N))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),T_1))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,T_1),H))->hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(Diff,M_2),T_1),hAPP_real_real(hAPP_n546711566l_real(Diff,hAPP_nat_nat(suc,M_2)),T_1)))))-> (exists T_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),T_1))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,T_1),H))&hAPP_real_real(F,H)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_r474017924t_real(hAPP_f42270917t_real(cOMBC_nat_real_real,Diff),zero_zero_real))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat)))),hAPP_r474017924t_real(power_power_real,H))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_n546711566l_real(Diff,N),T_1)),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,H),N))))))))).
% 114.94/113.73  all Diff F N H (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,H),zero_zero_real))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))&hAPP_n546711566l_real(Diff,zero_zero_nat)=F& (all M_2 T_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_2),N))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,H),T_1))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,T_1),zero_zero_real))->hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(Diff,M_2),T_1),hAPP_real_real(hAPP_n546711566l_real(Diff,hAPP_nat_nat(suc,M_2)),T_1)))))-> (exists T_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,H),T_1))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,T_1),zero_zero_real))&hAPP_real_real(F,H)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_r474017924t_real(hAPP_f42270917t_real(cOMBC_nat_real_real,Diff),zero_zero_real))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat)))),hAPP_r474017924t_real(power_power_real,H))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_n546711566l_real(Diff,N),T_1)),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,H),N)))))).
% 114.94/113.73  all N X_1 Diff F (hAPP_n546711566l_real(Diff,zero_zero_nat)=F& (all M_2 X_2 hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(Diff,M_2),X_2),hAPP_real_real(hAPP_n546711566l_real(Diff,hAPP_nat_nat(suc,M_2)),X_2))))-> (exists T_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,T_1)),hAPP_real_real(abs_abs_real,X_1)))&hAPP_real_real(F,X_1)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_r474017924t_real(hAPP_f42270917t_real(cOMBC_nat_real_real,Diff),zero_zero_real))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat)))),hAPP_r474017924t_real(power_power_real,X_1))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_n546711566l_real(Diff,N),T_1)),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_1),N)))))).
% 114.94/113.73  all N X_1 Diff F (hAPP_n546711566l_real(Diff,zero_zero_nat)=F-> ((all M_2 X_2 hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(Diff,M_2),X_2),hAPP_real_real(hAPP_n546711566l_real(Diff,hAPP_nat_nat(suc,M_2)),X_2))))-> (exists T_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,T_1)),hAPP_real_real(abs_abs_real,X_1)))&hAPP_real_real(F,X_1)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_r474017924t_real(hAPP_f42270917t_real(cOMBC_nat_real_real,Diff),zero_zero_real))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat)))),hAPP_r474017924t_real(power_power_real,X_1))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_n546711566l_real(Diff,N),T_1)),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_1),N))))))).
% 114.94/113.73  all F K_3 N ((all P_4 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,P_4),N))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(F,P_4)),K_3))))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,F),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N)),K_3)))).
% 114.94/113.73  all F X_1 F_1 N M ((all R_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),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,M),N)))->hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(F,R_1),X_1),hAPP_real_real(hAPP_n546711566l_real(F_1,R_1),X_1)))))->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(M),N)),X_1),hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_r474017924t_real(hAPP_f42270917t_real(cOMBC_nat_real_real,F_1),X_1)),hAPP_n1699378549t_bool(ord_at4362885an_nat(M),N))))).
% 114.94/113.73  all X_1 F (hBOOL(summable_real(F))-> ((all N_2 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,F),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N_2))),X_1)))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_f352196356l_real(suminf_real,F)),X_1)))).
% 114.94/113.73  all F A (hBOOL(hAPP_f448129468l_bool(nat_nat_set,A))-> ((all X_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_2))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(F,X_2)))))->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))))).
% 114.94/113.73  all X_1 F ((all N_2 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_nat_real(F,N_2))))-> ((all N_2 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,F),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N_2))),X_1)))->hBOOL(summable_real(F)))).
% 114.94/113.73  all Aa D N (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),hAPP_f659380387ol_int(hAPP_f1599440987ol_int(big_co1024481617at_int,hAPP_f1139079189at_int(hAPP_f1431025877at_int(cOMBB_int_int_nat,hAPP_int_fun_int_int(plus_plus_int,Aa)),hAPP_int_fun_nat_int(hAPP_f1673103573at_int(cOMBC_nat_int_int,hAPP_f1935805932nt_int(hAPP_f125788821nt_int(cOMBB_859312247nt_nat,times_times_int),semiri1621563631at_int)),D))),hAPP_n1699378549t_bool(ord_lessThan_nat,N)))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_nat_int(semiri1621563631at_int,N)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Aa),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Aa),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),one_one_nat))),D))))).
% 114.94/113.73  all K_3 K_1 F ((all N_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,K_1),hAPP_nat_real(F,N_2)))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(F,N_2)),K_3))))->hBOOL(bse_q_real(F))).
% 114.94/113.73  all K_1 hBOOL(hAPP_f54304608l_bool(finite_finite_nat,hAPP_n1699378549t_bool(ord_lessThan_nat,K_1))).
% 114.94/113.73  all U (hAPP_f22106695ol_nat(finite_card_nat,hAPP_n1699378549t_bool(ord_lessThan_nat,U))=U).
% 114.94/113.73  all N (hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N)=hAPP_n1699378549t_bool(ord_lessThan_nat,N)).
% 114.94/113.73  all S (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,S))<-> (exists K hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,S),hAPP_n1699378549t_bool(ord_lessThan_nat,K))))).
% 114.94/113.73  all Aa D N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat))),hAPP_f22106695ol_nat(hAPP_f782000547ol_nat(big_co387207925at_nat,hAPP_f1914919701at_nat(hAPP_f1585078997at_nat(cOMBB_nat_nat_nat,hAPP_nat_fun_nat_nat(plus_plus_nat,Aa)),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,times_times_nat),D))),hAPP_n1699378549t_bool(ord_lessThan_nat,N)))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Aa),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Aa),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),one_one_nat)),D))))).
% 114.94/113.73  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)))).
% 114.94/113.73  all S (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,S))-> (exists K hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,S),hAPP_n1699378549t_bool(ord_lessThan_nat,K))))).
% 114.94/113.73  all N Q_2 P_1 ((all X_2 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(Q_2,X_2)),hAPP_nat_nat(P_1,X_2))))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_f22106695ol_nat(hAPP_f782000547ol_nat(big_co387207925at_nat,P_1),hAPP_n1699378549t_bool(ord_lessThan_nat,N))),hAPP_f22106695ol_nat(hAPP_f782000547ol_nat(big_co387207925at_nat,Q_2),hAPP_n1699378549t_bool(ord_lessThan_nat,N)))=hAPP_f22106695ol_nat(hAPP_f782000547ol_nat(big_co387207925at_nat,hAPP_f1914919701at_nat(hAPP_f1408247010at_nat(cOMBS_nat_nat_nat,hAPP_f1639111240at_nat(hAPP_f1731313045at_nat(cOMBB_963856155at_nat,minus_minus_nat),P_1)),Q_2)),hAPP_n1699378549t_bool(ord_lessThan_nat,N))).
% 114.94/113.73  all X_1 (comple124823625p_real(hAPP_r1134773055l_bool(ord_lessThan_real,X_1))=X_1).
% 114.94/113.73  all P_2 P_1 ((all X_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_2))-> (hBOOL(hAPP_int_bool(P_1,X_2))<->hBOOL(hAPP_int_bool(P_2,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))),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))).
% 114.94/113.73  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)))))))).
% 114.94/113.73  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)).
% 114.94/113.73  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)).
% 114.94/113.73  all N_1 M_1 A_2 B_1 (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A_2),B_1)=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_2),N_1)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,B_1),M_1))=one_one_int).
% 114.94/113.73  all X Y M_1 (hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X),Y)),M_1)=one_one_int->hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,X),M_1)=one_one_int).
% 114.94/113.73  all M_1 K_2 N_1 (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,K_2),N_1)=one_one_int-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_2),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,M_1),N_1)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_2),M_1)))).
% 114.94/113.73  all M K_1 N (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,K_1),N)=one_one_int-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_1),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,M),N)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_1),M)))).
% 114.94/113.73  all N_1 M_1 R_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,M_1),R_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,N_1),R_3))-> (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,M_1),N_1)=one_one_int->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,M_1),N_1)),R_3))))).
% 114.94/113.73  all B_4 A_4 A_2 B_1 (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A_2),B_1)!=zero_zero_int-> (A_2=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_2),B_1))-> (B_1=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_4),hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A_2),B_1))->hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A_4),B_4)=one_one_int))).
% 114.94/113.73  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))).
% 114.94/113.73  all M_1 K_2 N_1 (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,M_1),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_1)),N_1))=hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,M_1),N_1)).
% 114.94/113.73  all M_1 N_1 (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,M_1),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,M_1),N_1))=hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,M_1),N_1)).
% 114.94/113.73  all M_1 N_1 (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,M_1),N_1)),N_1)=hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,M_1),N_1)).
% 114.94/113.73  all N_1 (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,N_1),one_one_int)),N_1)=one_one_int).
% 114.94/113.73  all N_1 (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,N_1),one_one_int)),N_1)=one_one_int).
% 114.94/113.73  all N_1 D_3 A_2 (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,D_3),A_2)=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_2),N_1))=one_one_int).
% 114.94/113.73  all E_1 B_1 D_3 A_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D_3),A_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,E_1),B_1))-> (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A_2),B_1)=one_one_int->hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,D_3),E_1)=one_one_int))).
% 114.94/113.73  all M_1 (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,M_1),one_one_int)=one_one_int).
% 114.94/113.73  all M N (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,M),N)=zero_zero_int<->M=zero_zero_int&N=zero_zero_int).
% 114.94/113.73  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))).
% 114.94/113.73  all K_1 M N (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_1),hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,M),N)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_1),M))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_1),N))).
% 114.94/113.73  all N_1 K_2 M_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_2),M_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_2),N_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_2),hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,M_1),N_1))))).
% 114.94/113.73  all I M_1 N_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,I),hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,M_1),N_1)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,I),M_1))).
% 114.94/113.73  all I M_1 N_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,I),hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,M_1),N_1)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,I),N_1))).
% 114.94/113.73  all A_2 B_1 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_2),B_1)),C_1)=hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A_2),hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,B_1),C_1))).
% 114.94/113.73  all B_1 A_2 C_1 (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,B_1),hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A_2),C_1))=hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A_2),hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,B_1),C_1))).
% 114.94/113.73  all A_2 B_1 (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A_2),B_1)=hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,B_1),A_2)).
% 114.94/113.73  all A_2 N_1 B_1 (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_2),N_1)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,B_1),N_1))=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A_2),B_1)),N_1)).
% 114.94/113.73  all K_2 M_1 N_1 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(abs_abs_int,K_2)),hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,M_1),N_1))=hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_2),M_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_2),N_1))).
% 114.94/113.73  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)).
% 114.94/113.73  all X (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,X),X)=hAPP_int_int(abs_abs_int,X)).
% 114.94/113.73  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))).
% 114.94/113.73  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)).
% 114.94/113.73  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)).
% 114.94/113.73  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)).
% 114.94/113.73  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)).
% 114.94/113.73  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)).
% 114.94/113.73  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)).
% 114.94/113.73  all M N (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,M),N)))<->M!=zero_zero_int|N!=zero_zero_int).
% 114.94/113.73  all X (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,zero_zero_int),X)=hAPP_int_int(abs_abs_int,X)).
% 114.94/113.73  all X (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,X),zero_zero_int)=hAPP_int_int(abs_abs_int,X)).
% 114.94/113.73  all D_3 A_2 B_1 (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_2),B_1))=one_one_int->hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,D_3),B_1)=one_one_int).
% 114.94/113.73  all D_3 A_2 B_1 (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_2),B_1))=one_one_int->hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,D_3),A_2)=one_one_int).
% 114.94/113.73  all B_1 D_3 A_2 (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,D_3),A_2)=one_one_int-> (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,D_3),B_1)=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_2),B_1))=one_one_int)).
% 114.94/113.73  all M_1 K_2 N_1 (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,K_2),N_1)=one_one_int->hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_2),M_1)),N_1)=hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,M_1),N_1)).
% 114.94/113.73  all D Aa Ba (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,D),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Aa),Ba))=one_one_int<->hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,D),Aa)=one_one_int&hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,D),Ba)=one_one_int).
% 114.94/113.73  all A_2 B_1 (hAPP_int_rat(hAPP_int_fun_int_rat(fract,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_2),hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A_2),B_1))),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,B_1),hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A_2),B_1)))=hAPP_int_rat(hAPP_int_fun_int_rat(fract,A_2),B_1)).
% 114.94/113.73  all B_1 A_2 (A_2!=zero_zero_int|B_1!=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_2),hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A_2),B_1))),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,B_1),hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A_2),B_1)))=one_one_int).
% 114.94/113.73  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))).
% 114.94/113.73  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))))).
% 114.94/113.73  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))).
% 114.94/113.73  all B_1 A_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_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_2),B_1)),A_2))).
% 114.94/113.73  all A_2 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,hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A_2),B_1)),B_1))).
% 114.94/113.73  all Ba Aa D (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),D))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),Aa))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),Ba))& (all E (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,E),Aa))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,E),Ba))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,E),D))))<->D=hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,Aa),Ba)).
% 114.94/113.73  all P_1 Y_2 X_1 ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y_2))->hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,X_1),Y_2)))))-> ((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,Y_2),zero_zero_int))->hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,X_1),hAPP_int_int(uminus_uminus_int,Y_2))))))-> ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y_2))->hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,hAPP_int_int(uminus_uminus_int,X_1)),Y_2)))))-> ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_2),zero_zero_int))->hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,hAPP_int_int(uminus_uminus_int,X_1)),hAPP_int_int(uminus_uminus_int,Y_2))))))->hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,X_1),Y_2))))))).
% 114.94/113.73  all Ba C Aa D (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,Aa),D)=one_one_int-> (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,Ba),C)=one_one_int-> (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(abs_abs_int,Aa)),hAPP_int_int(abs_abs_int,C))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(abs_abs_int,Ba)),hAPP_int_int(abs_abs_int,D))<->hAPP_int_int(abs_abs_int,Aa)=hAPP_int_int(abs_abs_int,Ba)&hAPP_int_int(abs_abs_int,C)=hAPP_int_int(abs_abs_int,D)))).
% 114.94/113.73  all K_1 L (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,K_1),L)=hAPP_int_int(abs_abs_int,hAPP_int_int(hAPP_int_fun_int_int(hAPP_b1463609396nt_int(if_int,hAPP_int_bool(hAPP_i1948725293t_bool(fe_qual_int,L),zero_zero_int)),K_1),hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,L),hAPP_int_int(div_mod_int(hAPP_int_int(abs_abs_int,K_1)),hAPP_int_int(abs_abs_int,L)))))).
% 114.94/113.73  all X A_2 B_1 (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A_2),B_1)=one_one_int-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X),A_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X),B_1))->hAPP_int_int(abs_abs_int,X)=one_one_int))).
% 114.94/113.73  all R_3 P_3 Q_1 (quotient_of(R_3)=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).
% 114.94/113.73  all R_3 P_3 Q_1 (normalize(R_3)=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).
% 114.94/113.73  all Aa Ba (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,Aa),Ba)=one_one_int<-> (all 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),Aa))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D_2),Ba))<->D_2=one_one_int))).
% 114.94/113.73  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)))).
% 114.94/113.73  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))))).
% 114.94/113.73  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))).
% 114.94/113.73  all X_1 (quotient_of(X_1)=the_Pr2103884470nt_int(hAPP_f237669397t_bool(hAPP_f461489489t_bool(cOMBS_400904860l_bool,hAPP_f365317245l_bool(hAPP_f1961001761l_bool(cOMBB_1550063917nt_int,fconj),hAPP_f1084724746t_bool(hAPP_f374502857t_bool(cOMBB_569260360nt_int,hAPP_r2115560837t_bool(fe_qual_rat,X_1)),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))))).
% 114.94/113.73  all R_3 exists X_2 (R_3=hAPP_int_rat(hAPP_int_fun_int_rat(fract,hAPP_P1175774780nt_int(product_fst_int_int,X_2)),hAPP_P1175774780nt_int(product_snd_int_int,X_2))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_P1175774780nt_int(product_snd_int_int,X_2)))&hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,hAPP_P1175774780nt_int(product_fst_int_int,X_2)),hAPP_P1175774780nt_int(product_snd_int_int,X_2))=one_one_int& (all Y_1 (R_3=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_2))).
% 114.94/113.73  all Q_1 ((all A_1 B_3 (Q_1=hAPP_int_rat(hAPP_int_fun_int_rat(fract,A_1),B_3)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_3))-> (A_1!=zero_zero_int->hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A_1),B_3)!=one_one_int))))->Q_1=zero_zero_rat).
% 114.94/113.73  all Qa P_1 ((all A_1 B_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_3))-> (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A_1),B_3)=one_one_int->hBOOL(hAPP_rat_bool(P_1,hAPP_int_rat(hAPP_int_fun_int_rat(fract,A_1),B_3))))))->hBOOL(hAPP_rat_bool(P_1,Qa))).
% 114.94/113.73  all Q_1 (-(all A_1 B_3 (Q_1=hAPP_int_rat(hAPP_int_fun_int_rat(fract,A_1),B_3)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_3))->hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A_1),B_3)!=one_one_int)))).
% 114.94/113.73  all N S (hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,S))-> ((all X_2 (hBOOL(hAPP_f215623910l_bool(hAPP_f628503027l_bool(member_fun_int_bool,X_2),S))->hBOOL(hAPP_f448129468l_bool(finite_finite_int,X_2))))-> ((all X_2 (hBOOL(hAPP_f215623910l_bool(hAPP_f628503027l_bool(member_fun_int_bool,X_2),S))->hAPP_f957591787ol_nat(finite_card_int,X_2)=N))->hAPP_f521865025ol_nat(hAPP_f93439879ol_nat(big_co1758102091ol_nat,finite_card_int),S)=hAPP_f521865025ol_nat(hAPP_f93439879ol_nat(big_co1758102091ol_nat,cOMBK_1643584600t_bool(N)),S)))).
% 114.94/113.73  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)))).
% 114.94/113.74  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)))))).
% 114.94/113.74  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))))))).
% 114.94/113.74  all Aa (hBOOL(tendsto_nat_real(Aa,zero_zero_real,se_quentially))-> (hBOOL(monose_q_real(Aa))->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)))),Aa))),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)))),Aa)),se_quentially)))).
% 114.94/113.74  all S_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),S_1))->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,S_1)),zero_zero_real,se_quentially))).
% 114.94/113.74  all R_2 hBOOL(tendsto_nat_real(hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,hAPP_r1250527377l_real(plus_plus_real,R_2)),hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,uminus_uminus_real),hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,inverse_inverse_real),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),suc)))),R_2,se_quentially)).
% 114.94/113.74  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),X_1))->hBOOL(tendsto_nat_real(hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,inverse_inverse_real),hAPP_r474017924t_real(power_power_real,X_1)),zero_zero_real,se_quentially))).
% 114.94/113.74  all Aa X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),X_1))->hBOOL(tendsto_nat_real(hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,hAPP_r1250527377l_real(inverse_divide_real,Aa)),hAPP_r474017924t_real(power_power_real,X_1)),zero_zero_real,se_quentially))).
% 114.94/113.74  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)).
% 114.94/113.74  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))).
% 114.94/113.74  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))).
% 114.94/113.74  all R_2 hBOOL(tendsto_nat_real(hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,hAPP_r1250527377l_real(plus_plus_real,R_2)),hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,inverse_inverse_real),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),suc))),R_2,se_quentially)).
% 114.94/113.74  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))).
% 114.94/113.74  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))).
% 114.94/113.74  all X_1 Aa (hBOOL(monose_q_real(Aa))-> (hBOOL(tendsto_nat_real(Aa,X_1,se_quentially))-> (all N_2 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(Aa,N_2)),X_1)))& (all M_2 N_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_2),N_2))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(Aa,M_2)),hAPP_nat_real(Aa,N_2)))))| (all N_2 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),hAPP_nat_real(Aa,N_2))))& (all M_2 N_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_2),N_2))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(Aa,N_2)),hAPP_nat_real(Aa,M_2))))))).
% 114.94/113.74  all Y_3 Y_2 X_3 X_1 (hBOOL(tendsto_nat_real(X_3,X_1,se_quentially))-> (hBOOL(tendsto_nat_real(Y_3,Y_2,se_quentially))-> ((exists N_3 all N_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_3),N_2))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(X_3,N_2)),hAPP_nat_real(Y_3,N_2)))))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_2))))).
% 114.94/113.74  all Aa X_3 X_1 (hBOOL(tendsto_nat_real(X_3,X_1,se_quentially))-> ((exists N_3 all N_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_3),N_2))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(X_3,N_2)),Aa))))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Aa)))).
% 114.94/113.74  all Aa X_3 X_1 (hBOOL(tendsto_nat_real(X_3,X_1,se_quentially))-> ((exists N_3 all N_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_3),N_2))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),hAPP_nat_real(X_3,N_2)))))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),X_1)))).
% 114.94/113.74  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),one_one_real))->hBOOL(tendsto_nat_real(hAPP_r474017924t_real(power_power_real,X_1),zero_zero_real,se_quentially)))).
% 114.94/113.74  all R_2 hBOOL(tendsto_nat_real(hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,hAPP_r1250527377l_real(times_times_real,R_2)),hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,hAPP_r1250527377l_real(plus_plus_real,one_one_real)),hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,uminus_uminus_real),hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,inverse_inverse_real),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),suc))))),R_2,se_quentially)).
% 114.94/113.74  all Aa (hBOOL(tendsto_nat_real(Aa,zero_zero_real,se_quentially))-> (hBOOL(monose_q_real(Aa))->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)))),Aa))))).
% 114.94/113.74  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,X_1)),one_one_real))->hBOOL(tendsto_nat_real(hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,hAPP_r1250527377l_real(inverse_divide_real,one_one_real)),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,hAPP_f1639111240at_nat(hAPP_f1731313045at_nat(cOMBB_963856155at_nat,plus_plus_nat),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,times_times_nat),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),one_one_nat))))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,hAPP_r474017924t_real(power_power_real,X_1)),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))).
% 114.94/113.74  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)))))).
% 114.94/113.74  all Aa (hBOOL(tendsto_nat_real(Aa,zero_zero_real,se_quentially))-> (hBOOL(monose_q_real(Aa))->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)))),Aa))),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)))),Aa)),se_quentially)))).
% 114.94/113.74  all N Aa (hBOOL(tendsto_nat_real(Aa,zero_zero_real,se_quentially))-> ((all N_2 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_nat_real(Aa,N_2))))-> ((all N_2 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(Aa,hAPP_nat_nat(suc,N_2))),hAPP_nat_real(Aa,N_2))))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_f352196356l_real(suminf_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min)))),Aa))),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)))),Aa)),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N)),one_one_nat)))))))).
% 114.94/113.74  all Aa (hBOOL(tendsto_nat_real(Aa,zero_zero_real,se_quentially))-> ((all N_2 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_nat_real(Aa,N_2))))-> ((all N_2 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(Aa,hAPP_nat_nat(suc,N_2))),hAPP_nat_real(Aa,N_2))))->hBOOL(tendsto_nat_real(hAPP_f292751352t_real(hAPP_f1607377819t_real(cOMBB_1533963633al_nat,hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min)))),Aa))),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)))),Aa)),se_quentially))))).
% 114.94/113.74  all X_3 Aa (hBOOL(tendsto_nat_complex(X_3,Aa,se_quentially))->hBOOL(tendsto_nat_complex(hAPP_f1646117269omplex(hAPP_f1457396693omplex(cOMBB_117013006ex_nat,cnj),X_3),hAPP_complex_complex(cnj,Aa),se_quentially))).
% 114.94/113.74  all X_3 Aa (hBOOL(tendsto_nat_complex(X_3,Aa,se_quentially))->hBOOL(tendsto_nat_real(hAPP_f1290670424t_real(hAPP_f327026105t_real(cOMBB_722610049al_nat,re),X_3),hAPP_complex_real(re,Aa),se_quentially))).
% 114.94/113.74  all X_3 Aa (hBOOL(tendsto_nat_complex(X_3,Aa,se_quentially))->hBOOL(tendsto_nat_real(hAPP_f1290670424t_real(hAPP_f327026105t_real(cOMBB_722610049al_nat,im),X_3),hAPP_complex_real(im,Aa),se_quentially))).
% 114.94/113.74  all Y_3 Ba X_3 Aa (hBOOL(tendsto_nat_real(X_3,Aa,se_quentially))-> (hBOOL(tendsto_nat_real(Y_3,Ba,se_quentially))->hBOOL(tendsto_nat_complex(hAPP_f219720582omplex(hAPP_f1052840010omplex(cOMBS_696648398omplex,hAPP_f23851874omplex(hAPP_f406530075omplex(cOMBB_1714920583ex_nat,complex),X_3)),Y_3),hAPP_real_complex(hAPP_r265291036omplex(complex,Aa),Ba),se_quentially)))).
% 114.94/113.74  all P_1 Aa Ba (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba))-> (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,Aa,Ba)))),hAPP_f73570213t_real(hAPP_f918606171t_real(cOMBB_64450052al_nat,produc556554744l_real),bolzano_bisect(P_1,Aa,Ba))),zero_zero_real,se_quentially))-> (exists L_1 ((all N_2 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_P731461727l_real(produc1935615926l_real,hAPP_n332733730l_real(bolzano_bisect(P_1,Aa,Ba),N_2))),L_1)))&hBOOL(tendsto_nat_real(hAPP_f73570213t_real(hAPP_f918606171t_real(cOMBB_64450052al_nat,produc1935615926l_real),bolzano_bisect(P_1,Aa,Ba)),L_1,se_quentially))& (all N_2 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,L_1),hAPP_P731461727l_real(produc556554744l_real,hAPP_n332733730l_real(bolzano_bisect(P_1,Aa,Ba),N_2)))))&hBOOL(tendsto_nat_real(hAPP_f73570213t_real(hAPP_f918606171t_real(cOMBB_64450052al_nat,produc556554744l_real),bolzano_bisect(P_1,Aa,Ba)),L_1,se_quentially)))))))).
% 114.94/113.74  all Aa (hBOOL(tendsto_nat_real(Aa,zero_zero_real,se_quentially))-> ((all N_2 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_nat_real(Aa,N_2))))-> ((all N_2 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(Aa,hAPP_nat_nat(suc,N_2))),hAPP_nat_real(Aa,N_2))))->hBOOL(tendsto_nat_real(hAPP_f292751352t_real(hAPP_f1607377819t_real(cOMBB_1533963633al_nat,hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min)))),Aa))),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)))),Aa)),se_quentially))))).
% 114.94/113.74  all N Aa (hBOOL(tendsto_nat_real(Aa,zero_zero_real,se_quentially))-> ((all N_2 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_nat_real(Aa,N_2))))-> ((all N_2 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(Aa,hAPP_nat_nat(suc,N_2))),hAPP_nat_real(Aa,N_2))))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min)))),Aa)),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N)))),hAPP_f352196356l_real(suminf_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min)))),Aa))))))).
% 114.94/113.74  all Aa (hBOOL(tendsto_nat_real(Aa,zero_zero_real,se_quentially))-> (hBOOL(monose_q_real(Aa))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(Aa,zero_zero_nat)),zero_zero_real))-> (all N_2 hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,hAPP_f352196356l_real(suminf_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min)))),Aa))),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)))),Aa)),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N_2)),one_one_nat)))),hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min)))),Aa)),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N_2)))))))))).
% 114.94/113.74  all Aa (hBOOL(tendsto_nat_real(Aa,zero_zero_real,se_quentially))-> (hBOOL(monose_q_real(Aa))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(Aa,zero_zero_nat)))-> (all N_2 hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,hAPP_f352196356l_real(suminf_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min)))),Aa))),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)))),Aa)),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N_2)))),hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min)))),Aa)),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N_2)),one_one_nat)))))))))).
% 114.94/113.74  all Y_2 X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_2),X_1))->comple124823625p_real(hAPP_r1134773055l_bool(ord_at1589558736t_real(Y_2),X_1))=X_1).
% 114.94/113.74  all Aa (hBOOL(tendsto_nat_real(Aa,zero_zero_real,se_quentially))-> ((all N_2 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_nat_real(Aa,N_2))))-> ((all N_2 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(Aa,hAPP_nat_nat(suc,N_2))),hAPP_nat_real(Aa,N_2))))->hBOOL(summable_real(hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min)))),Aa)))))).
% 114.94/113.74  all L U hBOOL(hAPP_f54304608l_bool(finite_finite_nat,hAPP_n1699378549t_bool(ord_at238088361st_nat(L),U))).
% 114.94/113.74  all L U hBOOL(hAPP_f448129468l_bool(finite_finite_int,hAPP_i1948725293t_bool(ord_at875362053st_int(L),U))).
% 114.94/113.74  all P_1 N ((exists M_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_2),N))&hBOOL(hAPP_nat_bool(P_1,M_2))))<-> (exists X_2 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),hAPP_n1699378549t_bool(ord_at238088361st_nat(zero_zero_nat),N)))&hBOOL(hAPP_nat_bool(P_1,X_2))))).
% 114.94/113.74  all P_1 N ((all M_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_2),N))->hBOOL(hAPP_nat_bool(P_1,M_2))))<-> (all X_2 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),hAPP_n1699378549t_bool(ord_at238088361st_nat(zero_zero_nat),N)))->hBOOL(hAPP_nat_bool(P_1,X_2))))).
% 114.94/113.74  all Y_2 X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))->hBOOL(hAPP_f448129468l_bool(nat_nat_set,hAPP_i1948725293t_bool(ord_at875362053st_int(X_1),Y_2)))).
% 114.94/113.74  all L U (hAPP_n1699378549t_bool(ord_at4362885an_nat(L),hAPP_nat_nat(suc,U))=hAPP_n1699378549t_bool(ord_at238088361st_nat(L),U)).
% 114.94/113.74  all N (hAPP_nat_nat(fact_fact_nat,N)=big_co1705425894at_nat(cOMBI_nat,hAPP_n1699378549t_bool(ord_at238088361st_nat(one_one_nat),N))).
% 114.94/113.74  all K_1 I_1 J (image_nat_nat(hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,plus_plus_nat),K_1),hAPP_n1699378549t_bool(ord_at238088361st_nat(I_1),J))=hAPP_n1699378549t_bool(ord_at238088361st_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_1),K_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J),K_1))).
% 114.94/113.74  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))).
% 114.94/113.74  all M N (hAPP_n1699378549t_bool(ord_at238088361st_nat(M),N)=image_int_nat(nat,hAPP_i1948725293t_bool(ord_at875362053st_int(hAPP_nat_int(semiri1621563631at_int,M)),hAPP_nat_int(semiri1621563631at_int,N)))).
% 114.94/113.74  all Aa hBOOL(tendst1507391555omplex(cnj,hAPP_complex_complex(cnj,Aa),at_complex(Aa))).
% 114.94/113.74  all Aa hBOOL(tendsto_complex_real(re,hAPP_complex_real(re,Aa),at_complex(Aa))).
% 114.94/113.74  all Aa hBOOL(tendsto_complex_real(im,hAPP_complex_real(im,Aa),at_complex(Aa))).
% 114.94/113.74  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)).
% 114.94/113.74  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)).
% 114.94/113.74  all K_1 F (hAPP_nat_nat(F,zero_zero_nat)=zero_zero_nat->hAPP_f22106695ol_nat(hAPP_f782000547ol_nat(big_co387207925at_nat,F),hAPP_n1699378549t_bool(ord_at238088361st_nat(hAPP_nat_nat(suc,zero_zero_nat)),K_1))=hAPP_f22106695ol_nat(hAPP_f782000547ol_nat(big_co387207925at_nat,F),hAPP_n1699378549t_bool(ord_at238088361st_nat(zero_zero_nat),K_1))).
% 114.94/113.74  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))).
% 114.94/113.74  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(div_div_nat,hAPP_nat_nat(fact_fact_nat,M)),hAPP_nat_nat(fact_fact_nat,N))=big_co1705425894at_nat(cOMBI_nat,hAPP_n1699378549t_bool(ord_at238088361st_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N),one_one_nat)),M))).
% 114.94/113.74  all N (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),N))->hAPP_int_int(fact_fact_int,N)=big_co1548731110nt_int(cOMBI_int,hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),N))).
% 114.94/113.74  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))))))).
% 114.94/113.74  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_2 (X_2!=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_2))),R_1))->hAPP_real_real(F,X_2)!=zero_zero_real)))))).
% 114.94/113.74  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_2 (X_2!=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_2))),R_1))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(F,X_2))))))))).
% 114.94/113.74  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_2 (X_2!=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_2))),R_1))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(F,X_2)),zero_zero_real)))))))).
% 114.94/113.74  all T A D_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))-> (all X_2 ((all Xa (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))-> (all Xb (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),A))->X_2!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xb),Xa)))))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,T),X_2))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,T),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_2),D_1))))))).
% 114.94/113.74  all T A D_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,T),one_one_int)),A))-> (all X_2 ((all Xa (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))-> (all Xb (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),A))->X_2!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xb),Xa)))))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_2),T))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_2),D_1)),T))))))).
% 114.94/113.74  all T B D_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,T),one_one_int)),B))-> (all X_2 ((all Xa (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))-> (all Xb (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),B))->X_2!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Xb),Xa)))))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,T),X_2))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,T),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_2),D_1)))))))).
% 114.94/113.74  all T B D_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))-> (all X_2 ((all Xa (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))-> (all Xb (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),B))->X_2!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Xb),Xa)))))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_2),T))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_2),D_1)),T)))))).
% 114.94/113.74  all T B D_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,T),one_one_int)),B))-> (all X_2 ((all Xa (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))-> (all Xb (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),B))->X_2!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Xb),Xa)))))-> (X_2=T->hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_2),D_1)=T))))).
% 114.94/113.74  all T A D_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,T),one_one_int)),A))-> (all X_2 ((all Xa (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))-> (all Xb (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),A))->X_2!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xb),Xa)))))-> (X_2=T->hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_2),D_1)=T))))).
% 114.94/113.74  all T A D_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))-> (all X_2 ((all Xa (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))-> (all Xb (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),A))->X_2!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xb),Xa)))))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,T),X_2))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,T),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_2),D_1))))))).
% 114.94/113.74  all T B D_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))-> (all X_2 ((all Xa (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))-> (all Xb (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),B))->X_2!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Xb),Xa)))))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_2),T))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_2),D_1)),T)))))).
% 114.94/113.74  all T A D_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,T),A))-> (all X_2 ((all Xa (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))-> (all Xb (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),A))->X_2!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xb),Xa)))))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_2),T))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_2),D_1)),T))))))).
% 114.94/113.74  all T B D_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,T),B))-> (all X_2 ((all Xa (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))-> (all Xb (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),B))->X_2!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Xb),Xa)))))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,T),X_2))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,T),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_2),D_1)))))))).
% 114.94/113.74  all T A D_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,T),A))-> (all X_2 ((all Xa (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))-> (all Xb (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),A))->X_2!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xb),Xa)))))-> (X_2!=T->hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_2),D_1)!=T))))).
% 114.94/113.74  all T B D_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,T),B))-> (all X_2 ((all Xa (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))-> (all Xb (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),B))->X_2!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Xb),Xa)))))-> (X_2!=T->hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_2),D_1)!=T))))).
% 114.94/113.74  all P_1 D (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D))-> ((all X_2 K (hBOOL(hAPP_int_bool(P_1,X_2))<->hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_2),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K),D))))))-> ((exists X1 hBOOL(hAPP_int_bool(P_1,X1)))<-> (exists X_2 (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D)))&hBOOL(hAPP_int_bool(P_1,X_2))))))).
% 114.94/113.74  all T A D D_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),D_1))-> (all X_2 ((all Xa (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))-> (all Xb (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),A))->X_2!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xb),Xa)))))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_2),T)))-> -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_2),D_1)),T))))))).
% 114.94/113.74  all T B D D_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),D_1))-> (all X_2 ((all Xa (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))-> (all Xb (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),B))->X_2!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Xb),Xa)))))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_2),T)))-> -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_2),D_1)),T))))))).
% 114.94/113.74  all T B D D_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),D_1))-> (all X_2 ((all Xa (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))-> (all Xb (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),B))->X_2!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Xb),Xa)))))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_2),T)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_2),D_1)),T))))))).
% 114.94/113.74  all T A D D_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),D_1))-> (all X_2 ((all Xa (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))-> (all Xb (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),A))->X_2!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xb),Xa)))))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_2),T)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_2),D_1)),T))))))).
% 114.94/113.74  all X_3 ((all R_1 exists N_3 all N_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_3),N_2))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,R_1),hAPP_nat_real(X_3,N_2)))))->hBOOL(tendsto_nat_real(hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,inverse_inverse_real),X_3),zero_zero_real,se_quentially))).
% 114.94/113.74  all R_3 X (hAPP_complex_complex(cnj,hAPP_complex_complex(scaleR1652505878omplex(R_3),X))=hAPP_complex_complex(scaleR1652505878omplex(R_3),hAPP_complex_complex(cnj,X))).
% 114.94/113.74  all R_3 X (hAPP_complex_real(re,hAPP_complex_complex(scaleR1652505878omplex(R_3),X))=hAPP_real_real(scaleR_scaleR_real(R_3),hAPP_complex_real(re,X))).
% 114.94/113.74  all R_3 X (hAPP_complex_real(im,hAPP_complex_complex(scaleR1652505878omplex(R_3),X))=hAPP_real_real(scaleR_scaleR_real(R_3),hAPP_complex_real(im,X))).
% 114.94/113.74  all A_2 X (hAPP_real_real(scaleR_scaleR_real(A_2),X)=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_2),X)).
% 114.94/113.74  all R_3 A_2 B_1 (hAPP_complex_complex(scaleR1652505878omplex(R_3),hAPP_real_complex(hAPP_r265291036omplex(complex,A_2),B_1))=hAPP_real_complex(hAPP_r265291036omplex(complex,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,R_3),A_2)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,R_3),B_1))).
% 114.94/113.74  all R_3 X (hAPP_complex_real(im,hAPP_complex_complex(scaleR1652505878omplex(R_3),X))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,R_3),hAPP_complex_real(im,X))).
% 114.94/113.74  all R_3 X (hAPP_complex_real(re,hAPP_complex_complex(scaleR1652505878omplex(R_3),X))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,R_3),hAPP_complex_real(re,X))).
% 114.94/113.74  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)).
% 114.94/113.74  all R_3 X (hAPP_complex_complex(scaleR1652505878omplex(R_3),X)=hAPP_real_complex(hAPP_r265291036omplex(complex,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,R_3),hAPP_complex_real(re,X))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,R_3),hAPP_complex_real(im,X)))).
% 114.94/113.74  -hBOOL(trivial_limit_nat(se_quentially)).
% 114.94/113.74  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))).
% 114.94/113.74  all A_2 B_1 (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A_2),B_1)!=zero_zero_int-> (exists A_3 B_2 (A_2=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_3),hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A_2),B_1))&B_1=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_2),hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A_2),B_1))&hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A_3),B_2)=one_one_int))).
% 114.94/113.74  all V N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,hAPP_int_nat(number_number_of_nat,V)),hAPP_nat_nat(suc,N))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(hAPP_b992065680at_nat(if_nat,hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,V)))),zero_zero_nat),hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,hAPP_int_nat(nat,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,V)))),N)))).
% 114.94/113.74  all N V (hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,hAPP_nat_nat(suc,N)),hAPP_int_nat(number_number_of_nat,V))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(hAPP_b992065680at_nat(if_nat,hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,V)))),zero_zero_nat),hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,N),hAPP_int_nat(nat,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,V))))))).
% 114.94/113.74  all M_1 N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,hAPP_nat_nat(suc,M_1)),hAPP_nat_nat(suc,N_1))=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,M_1),N_1))).
% 114.94/113.74  all N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,N_1),zero_zero_nat)=zero_zero_nat).
% 114.94/113.74  all N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,zero_zero_nat),N_1)=zero_zero_nat).
% 114.94/113.74  all M_1 I N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),I)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_1),I))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,M_1),N_1)),I)).
% 114.94/113.74  all M N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,M),hAPP_nat_nat(suc,N))=hAPP_nat_nat(nat_case_nat(zero_zero_nat,hAPP_f1914919701at_nat(hAPP_f1585078997at_nat(cOMBB_nat_nat_nat,suc),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,ord_min_nat),N))),M)).
% 114.94/113.74  all N M (hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,hAPP_nat_nat(suc,N)),M)=hAPP_nat_nat(nat_case_nat(zero_zero_nat,hAPP_f1914919701at_nat(hAPP_f1585078997at_nat(cOMBB_nat_nat_nat,suc),hAPP_nat_fun_nat_nat(ord_min_nat,N))),M)).
% 114.94/113.74  all Y_3 X_3 ((exists A_1 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),A_1))& (all N_2 hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(abs_abs_rat,hAPP_nat_rat(X_3,N_2))),A_1)))))-> (hBOOL(vanishes(Y_3))->hBOOL(vanishes(hAPP_f2062659861at_rat(hAPP_f1131305186at_rat(cOMBS_nat_rat_rat,hAPP_f1830834240at_rat(hAPP_f1073644437at_rat(cOMBB_1926947at_nat,times_times_rat),X_3)),Y_3))))).
% 114.94/113.74  all N M (hBOOL(hAPP_int_bool(nat_is_nat,M))-> (hBOOL(hAPP_int_bool(nat_is_nat,N))->hAPP_i1948725293t_bool(ord_at875362053st_int(M),N)=image_nat_int(semiri1621563631at_int,hAPP_n1699378549t_bool(ord_at238088361st_nat(hAPP_int_nat(nat,M)),hAPP_int_nat(nat,N))))).
% 114.94/113.74  all X_1 (hBOOL(hAPP_int_bool(nat_is_nat,X_1))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))).
% 114.94/113.74  all Z_1 hBOOL(hAPP_int_bool(nat_is_nat,hAPP_nat_int(semiri1621563631at_int,Z_1))).
% 114.94/113.74  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))))).
% 114.94/113.74  hBOOL(hAPP_int_bool(nat_is_nat,one_one_int)).
% 114.94/113.74  hBOOL(hAPP_int_bool(nat_is_nat,zero_zero_int)).
% 114.94/113.74  all X_1 A (hBOOL(hAPP_f448129468l_bool(nat_nat_set,A))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A))->hBOOL(hAPP_int_bool(nat_is_nat,X_1)))).
% 114.94/113.74  all N_1 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_1)))).
% 114.94/113.74  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))))).
% 114.94/113.74  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))))).
% 114.94/113.74  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))))).
% 114.94/113.74  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))))).
% 114.94/113.74  all X_3 (hBOOL(vanishes(X_3))->hBOOL(vanishes(hAPP_f2062659861at_rat(hAPP_f1082758869at_rat(cOMBB_rat_rat_nat,uminus_uminus_rat),X_3)))).
% 114.94/113.74  all C (hBOOL(vanishes(cOMBK_rat_nat(C)))<->C=zero_zero_rat).
% 114.94/113.74  all Y_3 X_3 (hBOOL(vanishes(X_3))-> (hBOOL(vanishes(Y_3))->hBOOL(vanishes(hAPP_f2062659861at_rat(hAPP_f1131305186at_rat(cOMBS_nat_rat_rat,hAPP_f1830834240at_rat(hAPP_f1073644437at_rat(cOMBB_1926947at_nat,minus_minus_rat),X_3)),Y_3))))).
% 114.94/113.74  all Y_3 X_3 (hBOOL(vanishes(X_3))-> (hBOOL(vanishes(Y_3))->hBOOL(vanishes(hAPP_f2062659861at_rat(hAPP_f1131305186at_rat(cOMBS_nat_rat_rat,hAPP_f1830834240at_rat(hAPP_f1073644437at_rat(cOMBB_1926947at_nat,plus_plus_rat),X_3)),Y_3))))).
% 114.94/113.74  all Y_2 X_1 (hBOOL(hAPP_int_bool(nat_is_nat,X_1))->hBOOL(hAPP_f448129468l_bool(nat_nat_set,hAPP_i1948725293t_bool(ord_at875362053st_int(X_1),Y_2)))).
% 114.94/113.74  hBOOL(hAPP_int_bool(nat_is_nat,hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,hAPP_int_int(bit1,pls))))).
% 114.94/113.74  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))))).
% 114.94/113.74  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)))).
% 114.94/113.74  all A X_1 (hBOOL(hAPP_int_bool(nat_is_nat,X_1))-> (hBOOL(hAPP_f448129468l_bool(nat_nat_set,A))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A))<->hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_int_nat(nat,X_1)),image_int_nat(nat,A)))))).
% 114.94/113.74  hBOOL(hAPP_int_bool(nat_is_nat,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))).
% 114.94/113.74  all R_2 X_3 (hBOOL(vanishes(X_3))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),R_2))-> (exists K all N_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),N_2))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(abs_abs_rat,hAPP_nat_rat(X_3,N_2))),R_2)))))).
% 114.94/113.74  all X_3 (hBOOL(vanishes(X_3))<-> (all R_1 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),R_1))-> (exists K all N_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),N_2))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(abs_abs_rat,hAPP_nat_rat(X_3,N_2))),R_1))))))).
% 114.94/113.74  all X_3 ((all R_1 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),R_1))-> (exists K all N_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),N_2))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(abs_abs_rat,hAPP_nat_rat(X_3,N_2))),R_1))))))->hBOOL(vanishes(X_3))).
% 114.94/113.74  all M X_2 Xa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcongm(M),X_2),Xa))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(X_2),Xa),M))).
% 114.94/113.74  all A P_2 P_1 D_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))-> ((exists Z all X_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z),X_2))-> (hBOOL(hAPP_int_bool(P_1,X_2))<->hBOOL(hAPP_int_bool(P_2,X_2)))))-> ((all X_2 ((all Xa (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))-> (all Xb (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),A))->X_2!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xb),Xa)))))-> (hBOOL(hAPP_int_bool(P_1,X_2))->hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_2),D_1))))))-> ((all X_2 K (hBOOL(hAPP_int_bool(P_2,X_2))<->hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_2),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K),D_1))))))-> ((exists X1 hBOOL(hAPP_int_bool(P_1,X1)))<-> (exists X_2 (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))&hBOOL(hAPP_int_bool(P_2,X_2))))| (exists X_2 (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))& (exists Xa (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),A))&hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xa),X_2)))))))))))).
% 114.94/113.74  all A B M (hBOOL(hAPP_f1469637905l_bool(hAPP_P1681069257l_bool(member308914164t_bool,hAPP_f538843494t_bool(hAPP_f1418982953t_bool(produc713279741t_bool,A),B)),bijR_int_int(zcongm(M))))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(big_co1548731110nt_int(cOMBI_int,A)),big_co1548731110nt_int(cOMBI_int,B)),M))).
% 114.94/113.74  all B P_2 P_1 D_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))-> ((exists Z all X_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_2),Z))-> (hBOOL(hAPP_int_bool(P_1,X_2))<->hBOOL(hAPP_int_bool(P_2,X_2)))))-> ((all X_2 ((all Xa (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))-> (all Xb (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),B))->X_2!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Xb),Xa)))))-> (hBOOL(hAPP_int_bool(P_1,X_2))->hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_2),D_1))))))-> ((all X_2 K (hBOOL(hAPP_int_bool(P_2,X_2))<->hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_2),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K),D_1))))))-> ((exists X1 hBOOL(hAPP_int_bool(P_1,X1)))<-> (exists X_2 (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))&hBOOL(hAPP_int_bool(P_2,X_2))))| (exists X_2 (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))& (exists Xa (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),B))&hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Xa),X_2)))))))))))).
% 114.94/113.74  all L F ((all N_2 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(F,N_2)),hAPP_nat_real(F,hAPP_nat_nat(suc,N_2)))))-> ((all N_2 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(F,N_2)),L)))-> ((all E (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),E))-> (exists N_2 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,L),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(F,N_2)),E))))))->hBOOL(tendsto_nat_real(F,L,se_quentially))))).
% 114.94/113.74  all X_1 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))->hBOOL(hAPP_real_bool(isCont_real_real(hAPP_n546711566l_real(root,N)),X_1))).
% 114.94/113.74  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))->hBOOL(hAPP_real_bool(isCont_real_real(ln),X_1))).
% 114.94/113.74  all Aa hBOOL(hAPP_real_bool(isCont_real_real(abs_abs_real),Aa)).
% 114.94/113.74  all Aa hBOOL(hAPP_complex_bool(isCont_complex_real(im),Aa)).
% 114.94/113.74  all Aa hBOOL(hAPP_complex_bool(isCont_complex_real(re),Aa)).
% 114.94/113.74  all Aa hBOOL(hAPP_complex_bool(isCont156215680omplex(cnj),Aa)).
% 114.94/113.74  all X_1 hBOOL(hAPP_real_bool(isCont_real_real(sqrt),X_1)).
% 114.94/113.74  all X_1 hBOOL(hAPP_real_bool(isCont_real_real(cos),X_1)).
% 114.94/113.74  all X_1 hBOOL(hAPP_real_bool(isCont_real_real(arctan),X_1)).
% 114.94/113.74  all X_1 hBOOL(hAPP_real_bool(isCont_real_real(sin),X_1)).
% 114.94/113.74  all X_1 (hAPP_real_real(cos,X_1)!=zero_zero_real->hBOOL(hAPP_real_bool(isCont_real_real(tan),X_1))).
% 114.94/113.74  all N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))->hBOOL(hAPP_real_bool(isCont_real_real(hAPP_n546711566l_real(root,N)),zero_zero_real))).
% 114.94/113.74  all X_1 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_1),zero_zero_real))->hBOOL(hAPP_real_bool(isCont_real_real(hAPP_n546711566l_real(root,N)),X_1)))).
% 114.94/113.74  all X_1 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_1))->hBOOL(hAPP_real_bool(isCont_real_real(hAPP_n546711566l_real(root,N)),X_1)))).
% 114.94/113.74  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(number267125858f_real,min)),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),one_one_real))->hBOOL(hAPP_real_bool(isCont_real_real(arccos),X_1)))).
% 114.94/113.74  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(number267125858f_real,min)),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),one_one_real))->hBOOL(hAPP_real_bool(isCont_real_real(arcsin),X_1)))).
% 114.94/113.74  all F Ba X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Ba),X_1))-> ((all X_2 (hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,X_2),hAPP_r1134773055l_bool(ord_gr788844697n_real(Ba),X_1)))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(F,X_2)))))-> (hBOOL(hAPP_real_bool(isCont_real_real(F),X_1))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(F,X_1)))))).
% 114.94/113.74  all Ba Aa F G X_1 D_1 (hBOOL(hAPP_real_bool(deriv_real(F,hAPP_real_real(G,X_1)),D_1))-> (D_1!=zero_zero_real-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Ba))-> ((all Y_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Y_1))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_1),Ba))->hAPP_real_real(F,hAPP_real_real(G,Y_1))=Y_1))-> (hBOOL(hAPP_real_bool(isCont_real_real(G),X_1))->hBOOL(hAPP_real_bool(deriv_real(G,X_1),hAPP_real_real(inverse_inverse_real,D_1))))))))).
% 114.94/113.74  all G F X_1 D (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D))-> ((all Z (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Z),X_1))),D))->hAPP_real_real(G,hAPP_real_real(F,Z))=Z))-> ((all Z (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Z),X_1))),D))->hBOOL(hAPP_real_bool(isCont_real_real(F),Z))))->hBOOL(hAPP_real_bool(isCont_real_real(G),hAPP_real_real(F,X_1)))))).
% 114.94/113.74  all X_1 F Aa Ba (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba))-> ((all X_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),X_2))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_2),Ba))->hBOOL(hAPP_real_bool(isCont_real_real(F),X_2))))-> ((all X_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),X_2))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_2),Ba))->hBOOL(hAPP_real_bool(deriv_real(F,X_2),zero_zero_real))))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Ba))->hAPP_real_real(F,X_1)=hAPP_real_real(F,Aa)))))).
% 114.94/113.74  all F Aa Ba (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba))-> ((all X_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),X_2))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_2),Ba))->hBOOL(hAPP_real_bool(isCont_real_real(F),X_2))))-> ((all X_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),X_2))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_2),Ba))->hBOOL(hAPP_real_bool(deriv_real(F,X_2),zero_zero_real))))->hAPP_real_real(F,Ba)=hAPP_real_real(F,Aa)))).
% 114.94/113.74  all F Aa Ba (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba))-> ((all X_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),X_2))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_2),Ba))->hBOOL(hAPP_real_bool(isCont_real_real(F),X_2))))-> ((all X_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),X_2))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_2),Ba))->hBOOL(hAPP_real_bool(deriv_real(F,X_2),zero_zero_real))))-> (all X_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),X_2))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_2),Ba))->hAPP_real_real(F,X_2)=hAPP_real_real(F,Aa)))))).
% 114.94/113.74  all G F X_1 D (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D))-> ((all Z (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Z),X_1))),D))->hAPP_real_real(G,hAPP_real_real(F,Z))=Z))-> ((all Z (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Z),X_1))),D))->hBOOL(hAPP_real_bool(isCont_real_real(F),Z))))-> (exists Z (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Z),X_1))),D))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(F,Z)),hAPP_real_real(F,X_1)))))))).
% 114.94/113.74  all G F X_1 D (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D))-> ((all Z (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Z),X_1))),D))->hAPP_real_real(G,hAPP_real_real(F,Z))=Z))-> ((all Z (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Z),X_1))),D))->hBOOL(hAPP_real_bool(isCont_real_real(F),Z))))-> (exists E (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),E))& (all Y_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,X_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,Y_1),hAPP_real_real(F,X_1)))),E))->hAPP_real_real(F,hAPP_real_real(G,Y_1))=Y_1))))))).
% 114.94/113.74  all G F X_1 D (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D))-> ((all Z (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Z),X_1))),D))->hAPP_real_real(G,hAPP_real_real(F,Z))=Z))-> ((all Z (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Z),X_1))),D))->hBOOL(hAPP_real_bool(isCont_real_real(F),Z))))-> (exists Z (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Z),X_1))),D))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(F,X_1)),hAPP_real_real(F,Z)))))))).
% 114.94/113.74  all N (hAPP_n1699378549t_bool(ord_atMost_nat,N)=image_int_nat(nat,hAPP_i1948725293t_bool(ord_at875362053st_int(zero_zero_int),hAPP_nat_int(semiri1621563631at_int,N)))).
% 114.94/113.74  all V N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,hAPP_int_nat(number_number_of_nat,V)),hAPP_nat_nat(suc,N))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(hAPP_b992065680at_nat(if_nat,hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,V)))),hAPP_nat_nat(suc,N)),hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,hAPP_int_nat(nat,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,V)))),N)))).
% 114.94/113.74  all K_1 hBOOL(hAPP_f54304608l_bool(finite_finite_nat,hAPP_n1699378549t_bool(ord_atMost_nat,K_1))).
% 114.94/113.74  all N (hAPP_n1699378549t_bool(ord_at238088361st_nat(zero_zero_nat),N)=hAPP_n1699378549t_bool(ord_atMost_nat,N)).
% 114.94/113.74  all U (hAPP_f22106695ol_nat(finite_card_nat,hAPP_n1699378549t_bool(ord_atMost_nat,U))=hAPP_nat_nat(suc,U)).
% 114.94/113.74  all M_1 N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,hAPP_nat_nat(suc,M_1)),hAPP_nat_nat(suc,N_1))=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,M_1),N_1))).
% 114.94/113.74  all N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,N_1),zero_zero_nat)=N_1).
% 114.94/113.74  all N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,zero_zero_nat),N_1)=N_1).
% 114.94/113.74  all N_1 M_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_1),M_1)),M_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,N_1),M_1)).
% 114.94/113.74  all N M (hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,hAPP_nat_nat(suc,N)),M)=hAPP_nat_nat(nat_case_nat(hAPP_nat_nat(suc,N),hAPP_f1914919701at_nat(hAPP_f1585078997at_nat(cOMBB_nat_nat_nat,suc),hAPP_nat_fun_nat_nat(ord_max_nat,N))),M)).
% 114.94/113.74  all M N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,M),hAPP_nat_nat(suc,N))=hAPP_nat_nat(nat_case_nat(hAPP_nat_nat(suc,N),hAPP_f1914919701at_nat(hAPP_f1585078997at_nat(cOMBB_nat_nat_nat,suc),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,ord_max_nat),N))),M)).
% 114.94/113.74  all K_1 (hAPP_n1699378549t_bool(ord_lessThan_nat,hAPP_nat_nat(suc,K_1))=hAPP_n1699378549t_bool(ord_atMost_nat,K_1)).
% 114.94/113.74  all S (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,S))<-> (exists K hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,S),hAPP_n1699378549t_bool(ord_atMost_nat,K))))).
% 114.94/113.74  all P (-hBOOL(hAPP_bool_bool(fNot,P))| -hBOOL(P)).
% 114.94/113.74  all P (hBOOL(P)|hBOOL(hAPP_bool_bool(fNot,P))).
% 114.94/113.74  hBOOL(fTrue).
% 114.94/113.74  all P (is_bool(P)->P=fTrue|P=fFalse).
% 114.94/113.74  all Q P (-hBOOL(P)| -hBOOL(Q)|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,P),Q))).
% 114.94/113.74  all P Q (-hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,P),Q))|hBOOL(P)).
% 114.94/113.74  all P Q (-hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,P),Q))|hBOOL(Q)).
% 114.94/113.74  all Q P (-hBOOL(P)|hBOOL(fdisj(P,Q))).
% 114.94/113.74  all P Q (-hBOOL(Q)|hBOOL(fdisj(P,Q))).
% 114.94/113.74  all P Q (-hBOOL(fdisj(P,Q))|hBOOL(P)|hBOOL(Q)).
% 114.94/113.74  -hBOOL(fFalse).
% 114.94/113.74  all P (is_bool(P)->P=fTrue|P=fFalse).
% 114.94/113.74  all Q P (hBOOL(P)|hBOOL(hAPP_bool_bool(fimplies(P),Q))).
% 114.94/113.74  all P Q (-hBOOL(Q)|hBOOL(hAPP_bool_bool(fimplies(P),Q))).
% 114.94/113.74  all P Q (-hBOOL(hAPP_bool_bool(fimplies(P),Q))| -hBOOL(P)|hBOOL(Q)).
% 114.94/113.74  all X Y (hAPP_int_int(hAPP_int_fun_int_int(hAPP_b1463609396nt_int(if_int,fTrue),X),Y)=X).
% 114.94/113.74  all X Y (hAPP_int_int(hAPP_int_fun_int_int(hAPP_b1463609396nt_int(if_int,fFalse),X),Y)=Y).
% 114.94/113.74  all P (is_bool(P)->P=fTrue|P=fFalse).
% 114.94/113.74  all X Y (hAPP_nat_nat(hAPP_nat_fun_nat_nat(hAPP_b992065680at_nat(if_nat,fTrue),X),Y)=X).
% 114.94/113.74  all X Y (hAPP_nat_nat(hAPP_nat_fun_nat_nat(hAPP_b992065680at_nat(if_nat,fFalse),X),Y)=Y).
% 114.94/113.74  all P (is_bool(P)->P=fTrue|P=fFalse).
% 114.94/113.74  all P X (-hBOOL(hAPP_int_bool(P,X))|hBOOL(hAPP_f448129468l_bool(fEx_int,P))).
% 114.94/113.74  all P X (-hBOOL(hAPP_nat_bool(P,X))|hBOOL(hAPP_f54304608l_bool(fEx_nat,P))).
% 114.94/113.74  all P (hAPP_int_int(cOMBI_int,P)=P).
% 114.94/113.74  all P (hAPP_nat_nat(cOMBI_nat,P)=P).
% 114.94/113.74  all X Y (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(fe_qual_int,X),Y))|X=Y).
% 114.94/113.74  all X Y (X!=Y|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(fe_qual_int,X),Y))).
% 114.94/113.75  all X Y (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fe_qual_nat,X),Y))|X=Y).
% 114.94/113.75  all X Y (X!=Y|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fe_qual_nat,X),Y))).
% 114.94/113.75  all X Y (-hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(fe_qual_rat,X),Y))|X=Y).
% 114.94/113.75  all X Y (X!=Y|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(fe_qual_rat,X),Y))).
% 114.94/113.75  all X Y (hAPP_real_real(hAPP_r1250527377l_real(hAPP_b646336293l_real(if_real,fTrue),X),Y)=X).
% 114.94/113.75  all X Y (hAPP_real_real(hAPP_r1250527377l_real(hAPP_b646336293l_real(if_real,fFalse),X),Y)=Y).
% 114.94/113.75  all P (is_bool(P)->P=fTrue|P=fFalse).
% 114.94/113.75  all P (hAPP_real_real(cOMBI_real,P)=P).
% 114.94/113.75  all X Y (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(fe_qual_real,X),Y))|X=Y).
% 114.94/113.75  all X Y (X!=Y|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(fe_qual_real,X),Y))).
% 114.94/113.75  all P Q (hAPP_nat_rat(cOMBK_rat_nat(P),Q)=P).
% 114.94/113.75  all P Q (is_bool(P)->hAPP_nat_bool(cOMBK_bool_nat(P),Q)=P).
% 114.94/113.75  all X Y (hAPP_P1975530577nt_int(hAPP_P1145851913nt_int(hAPP_b40753821nt_int(if_Pro1731782967nt_int,fTrue),X),Y)=X).
% 114.94/113.75  all X Y (hAPP_P1975530577nt_int(hAPP_P1145851913nt_int(hAPP_b40753821nt_int(if_Pro1731782967nt_int,fFalse),X),Y)=Y).
% 114.94/113.75  all P (is_bool(P)->P=fTrue|P=fFalse).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 114.94/113.75  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)).
% 114.94/113.75  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)).
% 114.94/113.75  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)).
% 114.94/113.75  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)).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 114.94/113.75  all X Y (hAPP_P1860904029l_real(hAPP_P1982799375l_real(hAPP_b1482221219l_real(if_Pro313124157l_real,fTrue),X),Y)=X).
% 114.94/113.75  all X Y (hAPP_P1860904029l_real(hAPP_P1982799375l_real(hAPP_b1482221219l_real(if_Pro313124157l_real,fFalse),X),Y)=Y).
% 114.94/113.75  all P (is_bool(P)->P=fTrue|P=fFalse).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 114.94/113.75  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)).
% 114.94/113.75  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)).
% 114.94/113.75  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)).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 114.94/113.75  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)).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 114.94/113.75  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)).
% 114.94/113.75  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)).
% 114.94/113.75  all P Q (hAPP_f957591787ol_nat(cOMBK_1643584600t_bool(P),Q)=P).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 114.94/113.75  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)).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 114.94/113.75  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)).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 114.94/113.75  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)).
% 114.94/113.75  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)).
% 114.94/113.75  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)).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 114.94/113.75  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)).
% 114.94/113.75  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)).
% 114.94/113.75  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)).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 114.94/113.75  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)).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 114.94/113.75  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)).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 114.94/113.75  all P Q R (hAPP_n1983812447omplex(hAPP_f23851874omplex(hAPP_f406530075omplex(cOMBB_1714920583ex_nat,P),Q),R)=hAPP_r265291036omplex(P,hAPP_nat_real(Q,R))).
% 114.94/113.75  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))).
% 114.94/113.75  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)).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 114.94/113.75  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)).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 114.94/113.75  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)).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 114.94/113.75  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)).
% 114.94/113.75  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)).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 114.94/113.75  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)).
% 114.94/113.75  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)).
% 114.94/113.75  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)).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 114.94/113.75  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)).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 114.94/113.75  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)).
% 114.94/113.75  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)).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 114.94/113.75  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)).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 114.94/113.75  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)).
% 114.94/113.75  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))).
% 114.94/113.75  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)).
% 114.94/113.75  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)).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 114.94/113.75  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)).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 114.94/113.75  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))).
% 115.07/113.86  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))).
% 115.07/113.86  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))).
% 115.07/113.86  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))).
% 115.07/113.86  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))).
% 115.07/113.86  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))).
% 115.07/113.86  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))).
% 115.07/113.86  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))).
% 115.07/113.86  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))).
% 115.07/113.86  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))).
% 115.07/113.86  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))).
% 115.07/113.86  all P Q R (hAPP_i998473677nt_int(hAPP_f142232355nt_int(hAPP_f1377453843nt_int(cOMBB_320287386nt_int,P),Q),R)=hAPP_f2002277285nt_int(P,hAPP_i1584592887nt_int(Q,R))).
% 115.07/113.86  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))).
% 115.07/113.86  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))).
% 115.07/113.86  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))).
% 115.07/113.86  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))).
% 115.07/113.86  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))).
% 115.07/113.86  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))).
% 115.07/113.86  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))).
% 115.07/113.86  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))).
% 115.07/113.86  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))).
% 115.07/113.86  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))).
% 115.07/113.86  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))).
% 115.07/113.86  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))).
% 115.07/113.86  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))).
% 115.07/113.86  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))).
% 115.07/113.86  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))).
% 115.07/113.86  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))).
% 115.07/113.86  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))).
% 115.07/113.86  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))).
% 115.07/113.86  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))).
% 115.07/113.86  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))).
% 115.07/113.86  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),b))),hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,p),q)))!=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),p)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,b),q))),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,a),q)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,b),p)))).
% 115.07/113.86  end_of_list.
% 115.07/113.86  
% 115.07/113.86  -------> usable clausifies to:
% 115.07/113.86  
% 115.07/113.86  list(usable).
% 115.07/113.86  0 [] A=A.
% 115.07/113.86  0 [] is_bool(tendst1507391555omplex(B_1_1,B_2_1,B_3_1)).
% 115.07/113.86  0 [] is_bool(tendsto_complex_real(B_1_1,B_2_1,B_3_1)).
% 115.07/113.86  0 [] is_bool(tendsto_nat_complex(B_1_1,B_2_1,B_3_1)).
% 115.07/113.86  0 [] is_bool(tendsto_nat_real(B_1_1,B_2_1,B_3_1)).
% 115.07/113.86  0 [] is_bool(tendsto_real_real(B_1_1,B_2_1,B_3_1)).
% 115.07/113.86  0 [] is_bool(trivial_limit_nat(B_1_1)).
% 115.07/113.86  0 [] is_bool(vanishes(B_1_1)).
% 115.07/113.86  0 [] is_bool(bse_q_real(B_1_1)).
% 115.07/113.86  0 [] is_bool(cauchy_complex(B_1_1)).
% 115.07/113.86  0 [] is_bool(cauchy_real(B_1_1)).
% 115.07/113.86  0 [] is_bool(monose_q_real(B_1_1)).
% 115.07/113.86  0 [] is_bool(summable_complex(B_1_1)).
% 115.07/113.86  0 [] is_bool(summable_real(B_1_1)).
% 115.07/113.86  0 [] is_bool(fFalse).
% 115.07/113.86  0 [] is_bool(fTrue).
% 115.07/113.86  0 [] -is_bool(B_1_1)| -is_bool(B_2_1)|is_bool(fdisj(B_1_1,B_2_1)).
% 115.07/113.86  0 [] is_bool(hAPP_C24501650l_bool(B_1_1,B_2_1)).
% 115.07/113.86  0 [] is_bool(hAPP_complex_bool(B_1_1,B_2_1)).
% 115.07/113.86  0 [] -is_bool(B_2_1)|is_bool(hAPP_bool_bool(B_1_1,B_2_1)).
% 115.07/113.86  0 [] is_bool(hAPP_int_bool(B_1_1,B_2_1)).
% 115.07/113.86  0 [] is_bool(hAPP_nat_bool(B_1_1,B_2_1)).
% 115.07/113.86  0 [] is_bool(hAPP_Q2096512830t_bool(B_1_1,B_2_1)).
% 115.07/113.86  0 [] is_bool(hAPP_rat_bool(B_1_1,B_2_1)).
% 115.07/113.86  0 [] is_bool(hAPP_real_bool(B_1_1,B_2_1)).
% 115.07/113.86  0 [] is_bool(hAPP_f1734966846l_bool(B_1_1,B_2_1)).
% 115.07/113.86  0 [] is_bool(hAPP_f448129468l_bool(B_1_1,B_2_1)).
% 115.07/113.86  0 [] is_bool(hAPP_f54304608l_bool(B_1_1,B_2_1)).
% 115.07/113.86  0 [] is_bool(hAPP_f311463272l_bool(B_1_1,B_2_1)).
% 115.07/113.86  0 [] is_bool(hAPP_f1501066425l_bool(B_1_1,B_2_1)).
% 115.07/113.86  0 [] is_bool(hAPP_f215623910l_bool(B_1_1,B_2_1)).
% 115.07/113.86  0 [] is_bool(hAPP_f251496625l_bool(B_1_1,B_2_1)).
% 115.07/113.86  0 [] is_bool(hAPP_f851219889l_bool(B_1_1,B_2_1)).
% 115.07/113.86  0 [] is_bool(hAPP_f928428050l_bool(B_1_1,B_2_1)).
% 115.07/113.86  0 [] is_bool(hAPP_f879361201l_bool(B_1_1,B_2_1)).
% 115.07/113.86  0 [] is_bool(hAPP_f222989233l_bool(B_1_1,B_2_1)).
% 115.07/113.86  0 [] is_bool(hAPP_f46817975l_bool(B_1_1,B_2_1)).
% 115.07/113.86  0 [] is_bool(hAPP_f1469637905l_bool(B_1_1,B_2_1)).
% 115.07/113.86  0 [] is_bool(hAPP_f526364711l_bool(B_1_1,B_2_1)).
% 115.07/113.86  0 [] is_bool(hAPP_f115998247l_bool(B_1_1,B_2_1)).
% 115.07/113.86  0 [] is_bool(hAPP_P1164677895l_bool(B_1_1,B_2_1)).
% 115.07/113.86  0 [] is_bool(hAPP_P603027463t_bool(B_1_1,B_2_1)).
% 115.07/113.86  0 [] is_bool(hAPP_P178748804t_bool(B_1_1,B_2_1)).
% 115.07/113.86  0 [] is_bool(hAPP_P1555980039t_bool(B_1_1,B_2_1)).
% 115.07/113.86  0 [] is_bool(hAPP_P1709355527t_bool(B_1_1,B_2_1)).
% 115.07/113.86  0 [] is_bool(hAPP_P1333854989l_bool(B_1_1,B_2_1)).
% 115.07/113.86  0 [] is_bool(hAPP_P880235623l_bool(B_1_1,B_2_1)).
% 115.07/113.86  0 [] is_bool(hAPP_P62333565t_bool(B_1_1,B_2_1)).
% 115.07/113.86  0 [] is_bool(hAPP_P1463840893t_bool(B_1_1,B_2_1)).
% 115.07/113.86  0 [] 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_2),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,R_3),B_1))),M_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,C_1),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,R_3),D_3))),N_1))=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_2),M_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_1),N_1))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,R_3),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_1),M_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,D_3),N_1)))).
% 115.07/113.86  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,X_4),Y_4)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_12),B_10))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,X_4),hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,Y_4),B_10))),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,X_4),A_12)),B_10)).
% 115.07/113.86  0 [] hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,X_4),Y_4)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_12),B_10))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,X_4),hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,Y_4),B_10))),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,X_4),A_12)),B_10)).
% 115.07/113.86  0 [] hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_4),Y_4)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_12),B_10))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_4),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Y_4),B_10))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X_4),A_12)),B_10)).
% 115.07/113.86  0 [] hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_4),Y_4)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_12),B_10))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_4),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Y_4),B_10))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_4),A_12)),B_10)).
% 115.07/113.86  0 [] hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,X_1),Y_2)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_249),B_194))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,X_1),A_249)),hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,Y_2),B_194))),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,X_1),A_249)),B_194))),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_249),hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,Y_2),B_194))).
% 115.07/113.86  0 [] hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_1),Y_2)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_249),B_194))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X_1),A_249)),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Y_2),B_194))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X_1),A_249)),B_194))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_249),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Y_2),B_194))).
% 115.07/113.86  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Aa),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,Ba),E_2)),D)|C=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,Ba),Aa)),E_2)),D).
% 115.07/113.86  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Aa),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,Ba),E_2)),D)|C!=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,Ba),Aa)),E_2)),D).
% 115.07/113.86  0 [] hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Aa),E_2)),C)!=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Ba),E_2)),D)|C=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,Ba),Aa)),E_2)),D).
% 115.07/113.86  0 [] hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Aa),E_2)),C)=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Ba),E_2)),D)|C!=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,Ba),Aa)),E_2)),D).
% 115.07/113.86  0 [] hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Aa),E_2)),C)!=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Ba),E_2)),D)|C=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Ba),Aa)),E_2)),D).
% 115.07/113.86  0 [] hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Aa),E_2)),C)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Ba),E_2)),D)|C!=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Ba),Aa)),E_2)),D).
% 115.07/113.86  0 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Aa),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,Ba),E_2)),D)|C=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Ba),Aa)),E_2)),D).
% 115.07/113.86  0 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Aa),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,Ba),E_2)),D)|C!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Ba),Aa)),E_2)),D).
% 115.07/113.86  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Aa),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,Ba),E_2)),D)|hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,Aa),Ba)),E_2)),C)=D.
% 115.07/113.86  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Aa),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,Ba),E_2)),D)|hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,Aa),Ba)),E_2)),C)!=D.
% 115.07/113.86  0 [] hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Aa),E_2)),C)!=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Ba),E_2)),D)|hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,Aa),Ba)),E_2)),C)=D.
% 115.07/113.86  0 [] hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Aa),E_2)),C)=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Ba),E_2)),D)|hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,Aa),Ba)),E_2)),C)!=D.
% 115.07/113.86  0 [] hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Aa),E_2)),C)!=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Ba),E_2)),D)|hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Aa),Ba)),E_2)),C)=D.
% 115.07/113.86  0 [] hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Aa),E_2)),C)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Ba),E_2)),D)|hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Aa),Ba)),E_2)),C)!=D.
% 115.07/113.86  0 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Aa),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,Ba),E_2)),D)|hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Aa),Ba)),E_2)),C)=D.
% 115.07/113.86  0 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Aa),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,Ba),E_2)),D)|hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Aa),Ba)),E_2)),C)!=D.
% 115.07/113.86  0 [] -hBOOL(hAPP_int_bool(twoSqu1770640450sum2sq,X_1))|hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,$f2(X_1)),$f1(X_1)))=X_1.
% 115.07/113.86  0 [] hBOOL(hAPP_int_bool(twoSqu1770640450sum2sq,X_1))|hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,A_1),B_3))!=X_1.
% 115.07/113.86  0 [] hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_2),B_1)!=C_1|A_2=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_1),B_1).
% 115.07/113.86  0 [] 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)).
% 115.08/113.86  0 [] 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)).
% 115.08/113.86  0 [] 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)).
% 115.08/113.86  0 [] 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)).
% 115.08/113.86  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,A_248),B_193)),B_193)=A_248.
% 115.08/113.86  0 [] hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,A_248),B_193)),B_193)=A_248.
% 115.08/113.86  0 [] hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,A_248),B_193)),B_193)=A_248.
% 115.08/113.86  0 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_248),B_193)),B_193)=A_248.
% 115.08/113.86  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_247),B_192)),C_101)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_247),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_192),C_101)).
% 115.08/113.86  0 [] hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_247),B_192)),C_101)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_247),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_192),C_101)).
% 115.08/113.86  0 [] hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_247),B_192)),C_101)=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_247),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,B_192),C_101)).
% 115.08/113.86  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_247),B_192)),C_101)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_247),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_192),C_101)).
% 115.08/113.86  0 [] hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_247),B_192)),C_101)=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_247),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_192),C_101)).
% 115.08/113.86  0 [] hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_247),B_192)),C_101)=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_247),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_192),C_101)).
% 115.08/113.86  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,B_191),A_246)!=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C_100),A_246)|B_191=C_100.
% 115.08/113.86  0 [] hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,B_191),A_246)!=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C_100),A_246)|B_191=C_100.
% 115.08/113.86  0 [] hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,B_191),A_246)!=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,C_100),A_246)|B_191=C_100.
% 115.08/113.86  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_191),A_246)!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_100),A_246)|B_191=C_100.
% 115.08/113.86  0 [] hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B_191),A_246)!=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C_100),A_246)|B_191=C_100.
% 115.08/113.86  0 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_191),A_246)!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_100),A_246)|B_191=C_100.
% 115.08/113.86  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_245),B_190)!=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_245),C_99)|B_190=C_99.
% 115.08/113.86  0 [] hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_245),B_190)!=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_245),C_99)|B_190=C_99.
% 115.08/113.86  0 [] hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_245),B_190)!=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_245),C_99)|B_190=C_99.
% 115.08/113.86  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_245),B_190)!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_245),C_99)|B_190=C_99.
% 115.08/113.86  0 [] hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_245),B_190)!=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_245),C_99)|B_190=C_99.
% 115.08/113.86  0 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_245),B_190)!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_245),C_99)|B_190=C_99.
% 115.08/113.86  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_244),B_189)!=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_244),C_98)|B_189=C_98.
% 115.08/113.86  0 [] hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_244),B_189)!=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_244),C_98)|B_189=C_98.
% 115.08/113.86  0 [] hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_244),B_189)!=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_244),C_98)|B_189=C_98.
% 115.08/113.86  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_244),B_189)!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_244),C_98)|B_189=C_98.
% 115.08/113.86  0 [] hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_244),B_189)!=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_244),C_98)|B_189=C_98.
% 115.08/113.86  0 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_244),B_189)!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_244),C_98)|B_189=C_98.
% 115.08/113.86  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,Ba),Aa)!=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C),Aa)|Ba=C.
% 115.08/113.86  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,Ba),Aa)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C),Aa)|Ba!=C.
% 115.08/113.86  0 [] hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,Ba),Aa)!=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C),Aa)|Ba=C.
% 115.08/113.86  0 [] hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,Ba),Aa)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C),Aa)|Ba!=C.
% 115.08/113.86  0 [] hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,Ba),Aa)!=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,C),Aa)|Ba=C.
% 115.08/113.86  0 [] hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,Ba),Aa)=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,C),Aa)|Ba!=C.
% 115.08/113.86  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Ba),Aa)!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C),Aa)|Ba=C.
% 115.08/113.86  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Ba),Aa)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C),Aa)|Ba!=C.
% 115.08/113.86  0 [] hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Ba),Aa)!=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C),Aa)|Ba=C.
% 115.08/113.86  0 [] hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Ba),Aa)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C),Aa)|Ba!=C.
% 115.08/113.86  0 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Ba),Aa)!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C),Aa)|Ba=C.
% 115.08/113.86  0 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Ba),Aa)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C),Aa)|Ba!=C.
% 115.08/113.86  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,Aa),Ba)!=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,Aa),C)|Ba=C.
% 115.08/113.86  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,Aa),Ba)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,Aa),C)|Ba!=C.
% 115.08/113.86  0 [] hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,Aa),Ba)!=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,Aa),C)|Ba=C.
% 115.08/113.86  0 [] hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,Aa),Ba)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,Aa),C)|Ba!=C.
% 115.08/113.86  0 [] hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,Aa),Ba)!=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,Aa),C)|Ba=C.
% 115.08/113.86  0 [] hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,Aa),Ba)=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,Aa),C)|Ba!=C.
% 115.08/113.86  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Aa),Ba)!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Aa),C)|Ba=C.
% 115.08/113.86  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Aa),Ba)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Aa),C)|Ba!=C.
% 115.08/113.86  0 [] hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Aa),Ba)!=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Aa),C)|Ba=C.
% 115.08/113.86  0 [] hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Aa),Ba)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Aa),C)|Ba!=C.
% 115.08/113.86  0 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Aa),Ba)!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Aa),C)|Ba=C.
% 115.08/113.86  0 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Aa),Ba)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Aa),C)|Ba!=C.
% 115.08/113.86  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_243),B_188)),C_97)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_243),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,B_188),C_97)).
% 115.08/113.86  0 [] hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_243),B_188)),C_97)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_243),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,B_188),C_97)).
% 115.08/113.86  0 [] hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_243),B_188)),C_97)=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_243),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,B_188),C_97)).
% 115.08/113.86  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_243),B_188)),C_97)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_243),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_188),C_97)).
% 115.08/113.86  0 [] hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_243),B_188)),C_97)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_243),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B_188),C_97)).
% 115.08/113.86  0 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_243),B_188)),C_97)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_243),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_188),C_97)).
% 115.08/113.86  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,Aa),Ba)!=hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,C),D)|Aa!=Ba|C=D.
% 115.08/113.86  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,Aa),Ba)!=hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,C),D)|Aa=Ba|C!=D.
% 115.08/113.86  0 [] hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,Aa),Ba)!=hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,C),D)|Aa!=Ba|C=D.
% 115.08/113.86  0 [] hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,Aa),Ba)!=hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,C),D)|Aa=Ba|C!=D.
% 115.08/113.86  0 [] hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Aa),Ba)!=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,C),D)|Aa!=Ba|C=D.
% 115.08/113.86  0 [] hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Aa),Ba)!=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,C),D)|Aa=Ba|C!=D.
% 115.08/113.86  0 [] hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Aa),Ba)!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,C),D)|Aa!=Ba|C=D.
% 115.08/113.86  0 [] hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Aa),Ba)!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,C),D)|Aa=Ba|C!=D.
% 115.08/113.86  0 [] 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)).
% 115.08/113.86  0 [] 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).
% 115.08/113.86  0 [] 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)).
% 115.08/113.86  0 [] 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)).
% 115.08/113.86  0 [] 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).
% 115.08/113.86  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_242),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_187),E_3)),C_96))=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_242),B_187)),E_3)),C_96).
% 115.08/113.86  0 [] hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_242),E_3)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_187),E_3)),C_96))=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_242),B_187)),E_3)),C_96).
% 115.08/113.86  0 [] hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_242),E_3)),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,B_187),E_3)),C_96))=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_242),B_187)),E_3)),C_96).
% 115.08/113.86  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_242),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_187),E_3)),C_96))=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_242),B_187)),E_3)),C_96).
% 115.08/113.86  0 [] hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_242),E_3)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_187),E_3)),C_96))=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_242),B_187)),E_3)),C_96).
% 115.08/113.86  0 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_242),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_187),E_3)),C_96))=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_242),B_187)),E_3)),C_96).
% 115.08/113.86  0 [] hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,X_76),Y_63)),Ya_4)=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,X_76),Ya_4)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Y_63),Ya_4)).
% 115.08/113.86  0 [] hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_76),Y_63)),Ya_4)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_76),Ya_4)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Y_63),Ya_4)).
% 115.08/113.86  0 [] hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_241),A_240)),B_186)=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_241),B_186)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_240),B_186)).
% 115.08/113.86  0 [] hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_241),A_240)),B_186)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_241),B_186)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_240),B_186)).
% 115.08/113.86  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_239),B_185)),C_95)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_239),C_95)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_185),C_95)).
% 115.08/113.86  0 [] hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_239),B_185)),C_95)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_239),C_95)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_185),C_95)).
% 115.08/113.86  0 [] hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_239),B_185)),C_95)=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_239),C_95)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,B_185),C_95)).
% 115.08/113.86  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_239),B_185)),C_95)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_239),C_95)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_185),C_95)).
% 115.08/113.86  0 [] hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_239),B_185)),C_95)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_239),C_95)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_185),C_95)).
% 115.08/113.86  0 [] hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_239),B_185)),C_95)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_239),C_95)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_185),C_95)).
% 115.08/113.86  0 [] hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Xa_5),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,X_75),Y_62))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Xa_5),X_75)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Xa_5),Y_62)).
% 115.08/113.86  0 [] hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Xa_5),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_75),Y_62))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Xa_5),X_75)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Xa_5),Y_62)).
% 115.08/113.86  0 [] hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_238),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,B_184),B_183))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_238),B_184)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_238),B_183)).
% 115.08/113.86  0 [] hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_238),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B_184),B_183))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_238),B_184)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_238),B_183)).
% 115.08/113.86  0 [] hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,X_74),Y_61)),Ya_3)=hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,X_74),Ya_3)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Y_61),Ya_3)).
% 115.08/113.87  0 [] hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X_74),Y_61)),Ya_3)=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_74),Ya_3)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Y_61),Ya_3)).
% 115.08/113.87  0 [] hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,A_237),A_236)),B_182)=hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_237),B_182)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_236),B_182)).
% 115.08/113.87  0 [] hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,A_237),A_236)),B_182)=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_237),B_182)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_236),B_182)).
% 115.08/113.87  0 [] hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Xa_4),hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,X_73),Y_60))=hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Xa_4),X_73)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Xa_4),Y_60)).
% 115.08/113.87  0 [] hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Xa_4),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X_73),Y_60))=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Xa_4),X_73)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Xa_4),Y_60)).
% 115.08/113.87  0 [] hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_235),hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,B_181),B_180))=hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_235),B_181)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_235),B_180)).
% 115.08/113.87  0 [] hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_235),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,B_181),B_180))=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_235),B_181)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_235),B_180)).
% 115.08/113.87  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_234),C_94)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,B_179),D_21))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,A_234),B_179)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,C_94),D_21)).
% 115.08/113.87  0 [] hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_234),C_94)),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,B_179),D_21))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,A_234),B_179)),hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,C_94),D_21)).
% 115.08/113.87  0 [] hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_234),C_94)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B_179),D_21))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,A_234),B_179)),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,C_94),D_21)).
% 115.08/113.87  0 [] hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_234),C_94)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_179),D_21))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_234),B_179)),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,C_94),D_21)).
% 115.08/113.87  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_233),B_178)),B_178)=A_233.
% 115.08/113.87  0 [] hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_233),B_178)),B_178)=A_233.
% 115.08/113.87  0 [] hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_233),B_178)),B_178)=A_233.
% 115.08/113.87  0 [] hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_233),B_178)),B_178)=A_233.
% 115.08/113.87  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,W_1),Y_2)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,X_1),Z_2))!=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,W_1),Z_2)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,X_1),Y_2))|W_1=X_1|Y_2=Z_2.
% 115.08/113.87  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,W_1),Y_2)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,X_1),Z_2))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,W_1),Z_2)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,X_1),Y_2))|W_1!=X_1.
% 115.08/113.87  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,W_1),Y_2)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,X_1),Z_2))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,W_1),Z_2)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,X_1),Y_2))|Y_2!=Z_2.
% 115.08/113.87  0 [] hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,W_1),Y_2)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,X_1),Z_2))!=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,W_1),Z_2)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,X_1),Y_2))|W_1=X_1|Y_2=Z_2.
% 115.08/113.87  0 [] hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,W_1),Y_2)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,X_1),Z_2))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,W_1),Z_2)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,X_1),Y_2))|W_1!=X_1.
% 115.08/113.87  0 [] hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,W_1),Y_2)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,X_1),Z_2))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,W_1),Z_2)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,X_1),Y_2))|Y_2!=Z_2.
% 115.08/113.87  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,W_1),Y_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,X_1),Z_2))!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,W_1),Z_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,X_1),Y_2))|W_1=X_1|Y_2=Z_2.
% 115.08/113.87  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,W_1),Y_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,X_1),Z_2))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,W_1),Z_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,X_1),Y_2))|W_1!=X_1.
% 115.08/113.87  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,W_1),Y_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,X_1),Z_2))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,W_1),Z_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,X_1),Y_2))|Y_2!=Z_2.
% 115.08/113.87  0 [] hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,W_1),Y_2)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_1),Z_2))!=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,W_1),Z_2)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_1),Y_2))|W_1=X_1|Y_2=Z_2.
% 115.08/113.87  0 [] hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,W_1),Y_2)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_1),Z_2))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,W_1),Z_2)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_1),Y_2))|W_1!=X_1.
% 115.08/113.87  0 [] hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,W_1),Y_2)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_1),Z_2))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,W_1),Z_2)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_1),Y_2))|Y_2!=Z_2.
% 115.08/113.87  0 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,W_1),Y_2)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_1),Z_2))!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,W_1),Z_2)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_1),Y_2))|W_1=X_1|Y_2=Z_2.
% 115.08/113.87  0 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,W_1),Y_2)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_1),Z_2))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,W_1),Z_2)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_1),Y_2))|W_1!=X_1.
% 115.08/113.87  0 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,W_1),Y_2)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_1),Z_2))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,W_1),Z_2)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_1),Y_2))|Y_2!=Z_2.
% 115.08/113.87  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_232),M_11)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_177),M_11))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_232),B_177)),M_11).
% 115.08/113.87  0 [] hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_232),M_11)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_177),M_11))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_232),B_177)),M_11).
% 115.08/113.87  0 [] hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_232),M_11)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,B_177),M_11))=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_232),B_177)),M_11).
% 115.08/113.87  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_232),M_11)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_177),M_11))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_232),B_177)),M_11).
% 115.08/113.87  0 [] hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_232),M_11)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_177),M_11))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_232),B_177)),M_11).
% 115.08/113.87  0 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_232),M_11)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_177),M_11))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_232),B_177)),M_11).
% 115.08/113.87  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_231),B_176)),C_93)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_231),C_93)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_176),C_93)).
% 115.08/113.87  0 [] hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_231),B_176)),C_93)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_231),C_93)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_176),C_93)).
% 115.08/113.87  0 [] hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_231),B_176)),C_93)=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_231),C_93)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,B_176),C_93)).
% 115.08/113.87  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_231),B_176)),C_93)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_231),C_93)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_176),C_93)).
% 115.08/113.87  0 [] hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_231),B_176)),C_93)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_231),C_93)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_176),C_93)).
% 115.08/113.87  0 [] hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_231),B_176)),C_93)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_231),C_93)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_176),C_93)).
% 115.08/113.87  0 [] Aa=Ba|C=D|hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Aa),C)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Ba),D))!=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Aa),D)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Ba),C)).
% 115.08/113.87  0 [] Aa!=Ba|hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Aa),C)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Ba),D))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Aa),D)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Ba),C)).
% 115.08/113.87  0 [] C!=D|hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Aa),C)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Ba),D))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Aa),D)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Ba),C)).
% 115.08/113.87  0 [] Aa=Ba|C=D|hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Aa),C)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Ba),D))!=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Aa),D)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Ba),C)).
% 115.08/113.87  0 [] Aa!=Ba|hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Aa),C)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Ba),D))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Aa),D)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Ba),C)).
% 115.08/113.87  0 [] C!=D|hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Aa),C)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Ba),D))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Aa),D)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Ba),C)).
% 115.08/113.87  0 [] Aa=Ba|C=D|hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Aa),C)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Ba),D))!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Aa),D)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Ba),C)).
% 115.08/113.87  0 [] Aa!=Ba|hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Aa),C)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Ba),D))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Aa),D)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Ba),C)).
% 115.08/113.87  0 [] C!=D|hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Aa),C)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Ba),D))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Aa),D)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Ba),C)).
% 115.08/113.87  0 [] Aa=Ba|C=D|hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Aa),C)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Ba),D))!=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Aa),D)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Ba),C)).
% 115.08/113.87  0 [] Aa!=Ba|hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Aa),C)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Ba),D))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Aa),D)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Ba),C)).
% 115.08/113.87  0 [] C!=D|hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Aa),C)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Ba),D))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Aa),D)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Ba),C)).
% 115.08/113.87  0 [] Aa=Ba|C=D|hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Aa),C)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Ba),D))!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Aa),D)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Ba),C)).
% 115.08/113.87  0 [] Aa!=Ba|hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Aa),C)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Ba),D))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Aa),D)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Ba),C)).
% 115.08/113.87  0 [] C!=D|hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Aa),C)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Ba),D))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Aa),D)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Ba),C)).
% 115.08/113.87  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,X_72),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,Y_59),Z_22))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,X_72),Y_59)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,X_72),Z_22)).
% 115.08/113.87  0 [] hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,X_72),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,Y_59),Z_22))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,X_72),Y_59)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,X_72),Z_22)).
% 115.08/113.87  0 [] hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,X_72),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,Y_59),Z_22))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,X_72),Y_59)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,X_72),Z_22)).
% 115.08/113.87  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,X_72),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Y_59),Z_22))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,X_72),Y_59)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,X_72),Z_22)).
% 115.08/113.87  0 [] hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_72),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Y_59),Z_22))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_72),Y_59)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_72),Z_22)).
% 115.08/113.87  0 [] hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_72),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Y_59),Z_22))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_72),Y_59)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_72),Z_22)).
% 115.08/113.87  0 [] hAPP_f538843494t_bool(hAPP_f1418982953t_bool(produc713279741t_bool,Aa),Ba)!=hAPP_f538843494t_bool(hAPP_f1418982953t_bool(produc713279741t_bool,A_228),B_173)|Aa=A_228.
% 115.08/113.87  0 [] hAPP_f538843494t_bool(hAPP_f1418982953t_bool(produc713279741t_bool,Aa),Ba)!=hAPP_f538843494t_bool(hAPP_f1418982953t_bool(produc713279741t_bool,A_228),B_173)|Ba=B_173.
% 115.08/113.87  0 [] hAPP_P230595783nt_int(hAPP_P941956607nt_int(produc883642259nt_int,A_230),B_175)!=hAPP_P230595783nt_int(hAPP_P941956607nt_int(produc883642259nt_int,A_229),B_174)|A_230=A_229.
% 115.08/113.87  0 [] hAPP_P230595783nt_int(hAPP_P941956607nt_int(produc883642259nt_int,A_230),B_175)!=hAPP_P230595783nt_int(hAPP_P941956607nt_int(produc883642259nt_int,A_229),B_174)|B_175=B_174.
% 115.08/113.87  0 [] hAPP_Q1256397320de_int(hAPP_Q952608535de_int(produc1318306967de_int,A_230),B_175)!=hAPP_Q1256397320de_int(hAPP_Q952608535de_int(produc1318306967de_int,A_229),B_174)|A_230=A_229.
% 115.08/113.87  0 [] hAPP_Q1256397320de_int(hAPP_Q952608535de_int(produc1318306967de_int,A_230),B_175)!=hAPP_Q1256397320de_int(hAPP_Q952608535de_int(produc1318306967de_int,A_229),B_174)|B_175=B_174.
% 115.08/113.87  0 [] hAPP_C2132160860umeral(hAPP_C1614127039umeral(produc2136830103umeral,A_230),B_175)!=hAPP_C2132160860umeral(hAPP_C1614127039umeral(produc2136830103umeral,A_229),B_174)|A_230=A_229.
% 115.08/113.87  0 [] hAPP_C2132160860umeral(hAPP_C1614127039umeral(produc2136830103umeral,A_230),B_175)!=hAPP_C2132160860umeral(hAPP_C1614127039umeral(produc2136830103umeral,A_229),B_174)|B_175=B_174.
% 115.08/113.87  0 [] hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,A_230),B_175)!=hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,A_229),B_174)|A_230=A_229.
% 115.08/113.87  0 [] hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,A_230),B_175)!=hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,A_229),B_174)|B_175=B_174.
% 115.08/113.87  0 [] hAPP_P369611207at_nat(hAPP_P402336767at_nat(produc494345619at_nat,A_230),B_175)!=hAPP_P369611207at_nat(hAPP_P402336767at_nat(produc494345619at_nat,A_229),B_174)|A_230=A_229.
% 115.08/113.87  0 [] hAPP_P369611207at_nat(hAPP_P402336767at_nat(produc494345619at_nat,A_230),B_175)!=hAPP_P369611207at_nat(hAPP_P402336767at_nat(produc494345619at_nat,A_229),B_174)|B_175=B_174.
% 115.08/113.87  0 [] hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,A_230),B_175)!=hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,A_229),B_174)|A_230=A_229.
% 115.08/113.87  0 [] hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,A_230),B_175)!=hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,A_229),B_174)|B_175=B_174.
% 115.08/113.87  0 [] hAPP_P408881810nt_int(hAPP_i1730167831nt_int(produc282740534nt_int,A_230),B_175)!=hAPP_P408881810nt_int(hAPP_i1730167831nt_int(produc282740534nt_int,A_229),B_174)|A_230=A_229.
% 115.08/113.87  0 [] hAPP_P408881810nt_int(hAPP_i1730167831nt_int(produc282740534nt_int,A_230),B_175)!=hAPP_P408881810nt_int(hAPP_i1730167831nt_int(produc282740534nt_int,A_229),B_174)|B_175=B_174.
% 115.08/113.87  0 [] hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,A_230),B_175)!=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,A_229),B_174)|A_230=A_229.
% 115.08/113.87  0 [] hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,A_230),B_175)!=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,A_229),B_174)|B_175=B_174.
% 115.08/113.87  0 [] hAPP_f538843494t_bool(hAPP_f1418982953t_bool(produc713279741t_bool,Aa),Ba)!=hAPP_f538843494t_bool(hAPP_f1418982953t_bool(produc713279741t_bool,A_228),B_173)|Aa=A_228.
% 115.08/113.87  0 [] hAPP_f538843494t_bool(hAPP_f1418982953t_bool(produc713279741t_bool,Aa),Ba)!=hAPP_f538843494t_bool(hAPP_f1418982953t_bool(produc713279741t_bool,A_228),B_173)|Ba=B_173.
% 115.08/113.87  0 [] hAPP_f538843494t_bool(hAPP_f1418982953t_bool(produc713279741t_bool,Aa),Ba)=hAPP_f538843494t_bool(hAPP_f1418982953t_bool(produc713279741t_bool,A_228),B_173)|Aa!=A_228|Ba!=B_173.
% 115.08/113.87  0 [] hAPP_P230595783nt_int(hAPP_P941956607nt_int(produc883642259nt_int,Aa),Ba)!=hAPP_P230595783nt_int(hAPP_P941956607nt_int(produc883642259nt_int,A_228),B_173)|Aa=A_228.
% 115.08/113.87  0 [] hAPP_P230595783nt_int(hAPP_P941956607nt_int(produc883642259nt_int,Aa),Ba)!=hAPP_P230595783nt_int(hAPP_P941956607nt_int(produc883642259nt_int,A_228),B_173)|Ba=B_173.
% 115.08/113.87  0 [] hAPP_P230595783nt_int(hAPP_P941956607nt_int(produc883642259nt_int,Aa),Ba)=hAPP_P230595783nt_int(hAPP_P941956607nt_int(produc883642259nt_int,A_228),B_173)|Aa!=A_228|Ba!=B_173.
% 115.08/113.87  0 [] hAPP_Q1256397320de_int(hAPP_Q952608535de_int(produc1318306967de_int,Aa),Ba)!=hAPP_Q1256397320de_int(hAPP_Q952608535de_int(produc1318306967de_int,A_228),B_173)|Aa=A_228.
% 115.08/113.87  0 [] hAPP_Q1256397320de_int(hAPP_Q952608535de_int(produc1318306967de_int,Aa),Ba)!=hAPP_Q1256397320de_int(hAPP_Q952608535de_int(produc1318306967de_int,A_228),B_173)|Ba=B_173.
% 115.08/113.87  0 [] hAPP_Q1256397320de_int(hAPP_Q952608535de_int(produc1318306967de_int,Aa),Ba)=hAPP_Q1256397320de_int(hAPP_Q952608535de_int(produc1318306967de_int,A_228),B_173)|Aa!=A_228|Ba!=B_173.
% 115.08/113.87  0 [] hAPP_C2132160860umeral(hAPP_C1614127039umeral(produc2136830103umeral,Aa),Ba)!=hAPP_C2132160860umeral(hAPP_C1614127039umeral(produc2136830103umeral,A_228),B_173)|Aa=A_228.
% 115.08/113.87  0 [] hAPP_C2132160860umeral(hAPP_C1614127039umeral(produc2136830103umeral,Aa),Ba)!=hAPP_C2132160860umeral(hAPP_C1614127039umeral(produc2136830103umeral,A_228),B_173)|Ba=B_173.
% 115.08/113.87  0 [] hAPP_C2132160860umeral(hAPP_C1614127039umeral(produc2136830103umeral,Aa),Ba)=hAPP_C2132160860umeral(hAPP_C1614127039umeral(produc2136830103umeral,A_228),B_173)|Aa!=A_228|Ba!=B_173.
% 115.08/113.87  0 [] hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,Aa),Ba)!=hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,A_228),B_173)|Aa=A_228.
% 115.08/113.87  0 [] hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,Aa),Ba)!=hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,A_228),B_173)|Ba=B_173.
% 115.08/113.87  0 [] hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,Aa),Ba)=hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,A_228),B_173)|Aa!=A_228|Ba!=B_173.
% 115.08/113.87  0 [] hAPP_P369611207at_nat(hAPP_P402336767at_nat(produc494345619at_nat,Aa),Ba)!=hAPP_P369611207at_nat(hAPP_P402336767at_nat(produc494345619at_nat,A_228),B_173)|Aa=A_228.
% 115.08/113.87  0 [] hAPP_P369611207at_nat(hAPP_P402336767at_nat(produc494345619at_nat,Aa),Ba)!=hAPP_P369611207at_nat(hAPP_P402336767at_nat(produc494345619at_nat,A_228),B_173)|Ba=B_173.
% 115.08/113.87  0 [] hAPP_P369611207at_nat(hAPP_P402336767at_nat(produc494345619at_nat,Aa),Ba)=hAPP_P369611207at_nat(hAPP_P402336767at_nat(produc494345619at_nat,A_228),B_173)|Aa!=A_228|Ba!=B_173.
% 115.08/113.87  0 [] hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,Aa),Ba)!=hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,A_228),B_173)|Aa=A_228.
% 115.08/113.87  0 [] hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,Aa),Ba)!=hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,A_228),B_173)|Ba=B_173.
% 115.08/113.87  0 [] hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,Aa),Ba)=hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,A_228),B_173)|Aa!=A_228|Ba!=B_173.
% 115.08/113.87  0 [] hAPP_P408881810nt_int(hAPP_i1730167831nt_int(produc282740534nt_int,Aa),Ba)!=hAPP_P408881810nt_int(hAPP_i1730167831nt_int(produc282740534nt_int,A_228),B_173)|Aa=A_228.
% 115.08/113.87  0 [] hAPP_P408881810nt_int(hAPP_i1730167831nt_int(produc282740534nt_int,Aa),Ba)!=hAPP_P408881810nt_int(hAPP_i1730167831nt_int(produc282740534nt_int,A_228),B_173)|Ba=B_173.
% 115.08/113.87  0 [] hAPP_P408881810nt_int(hAPP_i1730167831nt_int(produc282740534nt_int,Aa),Ba)=hAPP_P408881810nt_int(hAPP_i1730167831nt_int(produc282740534nt_int,A_228),B_173)|Aa!=A_228|Ba!=B_173.
% 115.08/113.87  0 [] hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Aa),Ba)!=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,A_228),B_173)|Aa=A_228.
% 115.08/113.87  0 [] hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Aa),Ba)!=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,A_228),B_173)|Ba=B_173.
% 115.08/113.87  0 [] hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Aa),Ba)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,A_228),B_173)|Aa!=A_228|Ba!=B_173.
% 115.08/113.87  0 [] -hBOOL(hAPP_P880235623l_bool(P_1,$f3(P_1)))|hBOOL(hAPP_P880235623l_bool(P_1,hAPP_f538843494t_bool(hAPP_f1418982953t_bool(produc713279741t_bool,A_1),B_3))).
% 115.08/113.87  0 [] hBOOL(hAPP_P880235623l_bool(P_1,X1))| -hBOOL(hAPP_P880235623l_bool(P_1,hAPP_f538843494t_bool(hAPP_f1418982953t_bool(produc713279741t_bool,$f5(P_1)),$f4(P_1)))).
% 115.08/113.87  0 [] -hBOOL(hAPP_P62333565t_bool(P_1,$f6(P_1)))|hBOOL(hAPP_P62333565t_bool(P_1,hAPP_P230595783nt_int(hAPP_P941956607nt_int(produc883642259nt_int,A_1),B_3))).
% 115.08/113.87  0 [] hBOOL(hAPP_P62333565t_bool(P_1,X1))| -hBOOL(hAPP_P62333565t_bool(P_1,hAPP_P230595783nt_int(hAPP_P941956607nt_int(produc883642259nt_int,$f8(P_1)),$f7(P_1)))).
% 115.08/113.87  0 [] -hBOOL(hAPP_P1709355527t_bool(P_1,$f9(P_1)))|hBOOL(hAPP_P1709355527t_bool(P_1,hAPP_Q1256397320de_int(hAPP_Q952608535de_int(produc1318306967de_int,A_1),B_3))).
% 115.08/113.87  0 [] hBOOL(hAPP_P1709355527t_bool(P_1,X1))| -hBOOL(hAPP_P1709355527t_bool(P_1,hAPP_Q1256397320de_int(hAPP_Q952608535de_int(produc1318306967de_int,$f11(P_1)),$f10(P_1)))).
% 115.08/113.87  0 [] -hBOOL(hAPP_P1164677895l_bool(P_1,$f12(P_1)))|hBOOL(hAPP_P1164677895l_bool(P_1,hAPP_C2132160860umeral(hAPP_C1614127039umeral(produc2136830103umeral,A_1),B_3))).
% 115.08/113.87  0 [] hBOOL(hAPP_P1164677895l_bool(P_1,X1))| -hBOOL(hAPP_P1164677895l_bool(P_1,hAPP_C2132160860umeral(hAPP_C1614127039umeral(produc2136830103umeral,$f14(P_1)),$f13(P_1)))).
% 115.08/113.87  0 [] -hBOOL(hAPP_P1333854989l_bool(P_1,$f15(P_1)))|hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,A_1),B_3))).
% 115.08/113.87  0 [] hBOOL(hAPP_P1333854989l_bool(P_1,X1))| -hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,$f17(P_1)),$f16(P_1)))).
% 115.08/113.87  0 [] -hBOOL(hAPP_P1463840893t_bool(P_1,$f18(P_1)))|hBOOL(hAPP_P1463840893t_bool(P_1,hAPP_P369611207at_nat(hAPP_P402336767at_nat(produc494345619at_nat,A_1),B_3))).
% 115.08/113.87  0 [] hBOOL(hAPP_P1463840893t_bool(P_1,X1))| -hBOOL(hAPP_P1463840893t_bool(P_1,hAPP_P369611207at_nat(hAPP_P402336767at_nat(produc494345619at_nat,$f20(P_1)),$f19(P_1)))).
% 115.08/113.87  0 [] -hBOOL(hAPP_P1555980039t_bool(P_1,$f21(P_1)))|hBOOL(hAPP_P1555980039t_bool(P_1,hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,A_1),B_3))).
% 115.08/113.87  0 [] hBOOL(hAPP_P1555980039t_bool(P_1,X1))| -hBOOL(hAPP_P1555980039t_bool(P_1,hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,$f23(P_1)),$f22(P_1)))).
% 115.08/113.87  0 [] -hBOOL(hAPP_P178748804t_bool(P_1,$f24(P_1)))|hBOOL(hAPP_P178748804t_bool(P_1,hAPP_P408881810nt_int(hAPP_i1730167831nt_int(produc282740534nt_int,A_1),B_3))).
% 115.08/113.87  0 [] hBOOL(hAPP_P178748804t_bool(P_1,X1))| -hBOOL(hAPP_P178748804t_bool(P_1,hAPP_P408881810nt_int(hAPP_i1730167831nt_int(produc282740534nt_int,$f26(P_1)),$f25(P_1)))).
% 115.08/113.87  0 [] -hBOOL(hAPP_P603027463t_bool(P_1,$f27(P_1)))|hBOOL(hAPP_P603027463t_bool(P_1,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,A_1),B_3))).
% 115.08/113.87  0 [] hBOOL(hAPP_P603027463t_bool(P_1,X1))| -hBOOL(hAPP_P603027463t_bool(P_1,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,$f29(P_1)),$f28(P_1)))).
% 115.08/113.87  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_227),B_172)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C_92),D_20))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_227),C_92)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,B_172),D_20)).
% 115.08/113.87  0 [] hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_227),B_172)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C_92),D_20))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_227),C_92)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,B_172),D_20)).
% 115.08/113.87  0 [] hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_227),B_172)),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,C_92),D_20))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_227),C_92)),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,B_172),D_20)).
% 115.08/113.87  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_227),B_172)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_92),D_20))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_227),C_92)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_172),D_20)).
% 115.08/113.87  0 [] hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_227),B_172)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C_92),D_20))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_227),C_92)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B_172),D_20)).
% 115.08/113.87  0 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_227),B_172)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_92),D_20))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_227),C_92)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_172),D_20)).
% 115.08/113.87  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_226),B_171)),C_91)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_226),C_91)),B_171).
% 115.08/113.87  0 [] hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_226),B_171)),C_91)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_226),C_91)),B_171).
% 115.08/113.87  0 [] hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_226),B_171)),C_91)=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_226),C_91)),B_171).
% 115.08/113.87  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_226),B_171)),C_91)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_226),C_91)),B_171).
% 115.08/113.87  0 [] hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_226),B_171)),C_91)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_226),C_91)),B_171).
% 115.08/113.87  0 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_226),B_171)),C_91)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_226),C_91)),B_171).
% 115.08/113.87  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_225),B_170)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_170),A_225).
% 115.08/113.87  0 [] hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_225),B_170)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_170),A_225).
% 115.08/113.87  0 [] hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_225),B_170)=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,B_170),A_225).
% 115.08/113.87  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_225),B_170)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_170),A_225).
% 115.08/113.87  0 [] hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_225),B_170)=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_170),A_225).
% 115.08/113.87  0 [] hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_225),B_170)=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_170),A_225).
% 115.08/113.87  0 [] 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)).
% 115.08/113.87  0 [] 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)).
% 115.08/113.87  0 [] 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)).
% 115.08/113.87  0 [] 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)).
% 115.08/113.87  0 [] 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)).
% 115.08/113.87  0 [] 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)).
% 115.08/113.87  0 [] 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).
% 115.08/113.87  0 [] 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).
% 115.08/113.87  0 [] 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).
% 115.08/113.87  0 [] 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).
% 115.08/113.87  0 [] 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).
% 115.08/113.87  0 [] 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).
% 115.08/113.87  0 [] 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)).
% 115.08/113.87  0 [] 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)).
% 115.08/113.87  0 [] 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)).
% 115.08/113.87  0 [] 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)).
% 115.08/113.87  0 [] 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)).
% 115.08/113.87  0 [] 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)).
% 115.08/113.87  0 [] 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).
% 115.08/113.87  0 [] 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).
% 115.08/113.87  0 [] 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).
% 115.08/113.87  0 [] 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).
% 115.08/113.87  0 [] 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).
% 115.08/113.87  0 [] 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).
% 115.08/113.87  0 [] 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))).
% 115.08/113.87  0 [] 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))).
% 115.08/113.87  0 [] 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))).
% 115.08/113.87  0 [] 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))).
% 115.08/113.87  0 [] 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))).
% 115.08/113.87  0 [] 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))).
% 115.08/113.87  0 [] 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)).
% 115.08/113.87  0 [] 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)).
% 115.08/113.87  0 [] 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)).
% 115.08/113.87  0 [] 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)).
% 115.08/113.87  0 [] 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)).
% 115.08/113.87  0 [] 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)).
% 115.08/113.87  0 [] 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)).
% 115.08/113.87  0 [] 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)).
% 115.08/113.87  0 [] 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)).
% 115.08/113.87  0 [] 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)).
% 115.08/113.87  0 [] 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)).
% 115.08/113.87  0 [] 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)).
% 115.08/113.87  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_224),C_90)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C_90),A_224).
% 115.08/113.87  0 [] hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_224),C_90)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C_90),A_224).
% 115.08/113.87  0 [] hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_224),C_90)=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,C_90),A_224).
% 115.08/113.87  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_224),C_90)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_90),A_224).
% 115.08/113.87  0 [] hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_224),C_90)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C_90),A_224).
% 115.08/113.87  0 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_224),C_90)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_90),A_224).
% 115.08/113.87  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_223),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C_89),D_19))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C_89),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_223),D_19)).
% 115.08/113.87  0 [] hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_223),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C_89),D_19))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C_89),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_223),D_19)).
% 115.08/113.87  0 [] hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_223),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,C_89),D_19))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,C_89),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_223),D_19)).
% 115.08/113.87  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_223),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_89),D_19))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_89),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_223),D_19)).
% 115.08/113.87  0 [] hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_223),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C_89),D_19))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C_89),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_223),D_19)).
% 115.08/113.87  0 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_223),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_89),D_19))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_89),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_223),D_19)).
% 115.08/113.87  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_222),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C_88),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_222),C_88)),D_18).
% 115.08/113.87  0 [] hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_222),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C_88),D_18))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_222),C_88)),D_18).
% 115.08/113.87  0 [] hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_222),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,C_88),D_18))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_222),C_88)),D_18).
% 115.08/113.87  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_222),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_88),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_222),C_88)),D_18).
% 115.08/113.87  0 [] hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_222),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C_88),D_18))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_222),C_88)),D_18).
% 115.08/113.87  0 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_222),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_88),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_222),C_88)),D_18).
% 115.08/113.87  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_221),B_169)),C_87)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_221),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,B_169),C_87)).
% 115.08/113.87  0 [] hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_221),B_169)),C_87)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_221),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,B_169),C_87)).
% 115.08/113.87  0 [] hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_221),B_169)),C_87)=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_221),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,B_169),C_87)).
% 115.08/113.87  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_221),B_169)),C_87)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_221),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_169),C_87)).
% 115.08/113.87  0 [] hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_221),B_169)),C_87)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_221),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B_169),C_87)).
% 115.08/113.87  0 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_221),B_169)),C_87)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_221),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_169),C_87)).
% 115.08/113.87  0 [] -hBOOL(hAPP_P880235623l_bool(P_1,X1))|hBOOL(hAPP_P880235623l_bool(P_1,hAPP_f538843494t_bool(hAPP_f1418982953t_bool(produc713279741t_bool,$f31(P_1)),$f30(P_1)))).
% 115.08/113.87  0 [] hBOOL(hAPP_P880235623l_bool(P_1,$f32(P_1)))| -hBOOL(hAPP_P880235623l_bool(P_1,hAPP_f538843494t_bool(hAPP_f1418982953t_bool(produc713279741t_bool,A_1),B_3))).
% 115.08/113.87  0 [] -hBOOL(hAPP_P62333565t_bool(P_1,X1))|hBOOL(hAPP_P62333565t_bool(P_1,hAPP_P230595783nt_int(hAPP_P941956607nt_int(produc883642259nt_int,$f34(P_1)),$f33(P_1)))).
% 115.08/113.87  0 [] hBOOL(hAPP_P62333565t_bool(P_1,$f35(P_1)))| -hBOOL(hAPP_P62333565t_bool(P_1,hAPP_P230595783nt_int(hAPP_P941956607nt_int(produc883642259nt_int,A_1),B_3))).
% 115.08/113.87  0 [] -hBOOL(hAPP_P1709355527t_bool(P_1,X1))|hBOOL(hAPP_P1709355527t_bool(P_1,hAPP_Q1256397320de_int(hAPP_Q952608535de_int(produc1318306967de_int,$f37(P_1)),$f36(P_1)))).
% 115.08/113.88  0 [] hBOOL(hAPP_P1709355527t_bool(P_1,$f38(P_1)))| -hBOOL(hAPP_P1709355527t_bool(P_1,hAPP_Q1256397320de_int(hAPP_Q952608535de_int(produc1318306967de_int,A_1),B_3))).
% 115.08/113.88  0 [] -hBOOL(hAPP_P1164677895l_bool(P_1,X1))|hBOOL(hAPP_P1164677895l_bool(P_1,hAPP_C2132160860umeral(hAPP_C1614127039umeral(produc2136830103umeral,$f40(P_1)),$f39(P_1)))).
% 115.08/113.88  0 [] hBOOL(hAPP_P1164677895l_bool(P_1,$f41(P_1)))| -hBOOL(hAPP_P1164677895l_bool(P_1,hAPP_C2132160860umeral(hAPP_C1614127039umeral(produc2136830103umeral,A_1),B_3))).
% 115.08/113.88  0 [] -hBOOL(hAPP_P1333854989l_bool(P_1,X1))|hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,$f43(P_1)),$f42(P_1)))).
% 115.08/113.88  0 [] hBOOL(hAPP_P1333854989l_bool(P_1,$f44(P_1)))| -hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,A_1),B_3))).
% 115.08/113.88  0 [] -hBOOL(hAPP_P1463840893t_bool(P_1,X1))|hBOOL(hAPP_P1463840893t_bool(P_1,hAPP_P369611207at_nat(hAPP_P402336767at_nat(produc494345619at_nat,$f46(P_1)),$f45(P_1)))).
% 115.08/113.88  0 [] hBOOL(hAPP_P1463840893t_bool(P_1,$f47(P_1)))| -hBOOL(hAPP_P1463840893t_bool(P_1,hAPP_P369611207at_nat(hAPP_P402336767at_nat(produc494345619at_nat,A_1),B_3))).
% 115.08/113.88  0 [] -hBOOL(hAPP_P1555980039t_bool(P_1,X1))|hBOOL(hAPP_P1555980039t_bool(P_1,hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,$f49(P_1)),$f48(P_1)))).
% 115.08/113.88  0 [] hBOOL(hAPP_P1555980039t_bool(P_1,$f50(P_1)))| -hBOOL(hAPP_P1555980039t_bool(P_1,hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,A_1),B_3))).
% 115.08/113.88  0 [] -hBOOL(hAPP_P178748804t_bool(P_1,X1))|hBOOL(hAPP_P178748804t_bool(P_1,hAPP_P408881810nt_int(hAPP_i1730167831nt_int(produc282740534nt_int,$f52(P_1)),$f51(P_1)))).
% 115.08/113.88  0 [] hBOOL(hAPP_P178748804t_bool(P_1,$f53(P_1)))| -hBOOL(hAPP_P178748804t_bool(P_1,hAPP_P408881810nt_int(hAPP_i1730167831nt_int(produc282740534nt_int,A_1),B_3))).
% 115.08/113.88  0 [] -hBOOL(hAPP_P603027463t_bool(P_1,X1))|hBOOL(hAPP_P603027463t_bool(P_1,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,$f55(P_1)),$f54(P_1)))).
% 115.08/113.88  0 [] hBOOL(hAPP_P603027463t_bool(P_1,$f56(P_1)))| -hBOOL(hAPP_P603027463t_bool(P_1,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,A_1),B_3))).
% 115.08/113.88  0 [] -hBOOL(hAPP_P62333565t_bool(P_1,hAPP_P230595783nt_int(hAPP_P941956607nt_int(produc883642259nt_int,$f59(X_1,P_1)),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,$f58(X_1,P_1)),$f57(X_1,P_1)))))|hBOOL(hAPP_P62333565t_bool(P_1,X_1)).
% 115.08/113.88  0 [] -hBOOL(hAPP_P1463840893t_bool(P_1,hAPP_P369611207at_nat(hAPP_P402336767at_nat(produc494345619at_nat,$f62(X_1,P_1)),hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,$f61(X_1,P_1)),$f60(X_1,P_1)))))|hBOOL(hAPP_P1463840893t_bool(P_1,X_1)).
% 115.08/113.88  0 [] -hBOOL(hAPP_P178748804t_bool(P_1,hAPP_P408881810nt_int(hAPP_i1730167831nt_int(produc282740534nt_int,$f65(X_1,P_1)),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,$f64(X_1,P_1)),$f63(X_1,P_1)))))|hBOOL(hAPP_P178748804t_bool(P_1,X_1)).
% 115.08/113.88  0 [] Y_58=hAPP_P230595783nt_int(hAPP_P941956607nt_int(produc883642259nt_int,$f68(Y_58)),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,$f67(Y_58)),$f66(Y_58))).
% 115.08/113.88  0 [] Y_58=hAPP_P369611207at_nat(hAPP_P402336767at_nat(produc494345619at_nat,$f71(Y_58)),hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,$f70(Y_58)),$f69(Y_58))).
% 115.08/113.88  0 [] Y_58=hAPP_P408881810nt_int(hAPP_i1730167831nt_int(produc282740534nt_int,$f74(Y_58)),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,$f73(Y_58)),$f72(Y_58))).
% 115.08/113.88  0 [] Pa=hAPP_f538843494t_bool(hAPP_f1418982953t_bool(produc713279741t_bool,$f76(Pa)),$f75(Pa)).
% 115.08/113.88  0 [] P_7=hAPP_P230595783nt_int(hAPP_P941956607nt_int(produc883642259nt_int,$f78(P_7)),$f77(P_7)).
% 115.08/113.88  0 [] P_7=hAPP_Q1256397320de_int(hAPP_Q952608535de_int(produc1318306967de_int,$f80(P_7)),$f79(P_7)).
% 115.08/113.88  0 [] P_7=hAPP_C2132160860umeral(hAPP_C1614127039umeral(produc2136830103umeral,$f82(P_7)),$f81(P_7)).
% 115.08/113.88  0 [] P_7=hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,$f84(P_7)),$f83(P_7)).
% 115.08/113.88  0 [] P_7=hAPP_P369611207at_nat(hAPP_P402336767at_nat(produc494345619at_nat,$f86(P_7)),$f85(P_7)).
% 115.08/113.88  0 [] P_7=hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,$f88(P_7)),$f87(P_7)).
% 115.08/113.88  0 [] P_7=hAPP_P408881810nt_int(hAPP_i1730167831nt_int(produc282740534nt_int,$f90(P_7)),$f89(P_7)).
% 115.08/113.88  0 [] P_7=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,$f92(P_7)),$f91(P_7)).
% 115.08/113.88  0 [] -hBOOL(hAPP_f1469637905l_bool(hAPP_P1681069257l_bool(member308914164t_bool,X_1),A))|hBOOL(hAPP_P880235623l_bool(A,X_1)).
% 115.08/113.88  0 [] hBOOL(hAPP_f1469637905l_bool(hAPP_P1681069257l_bool(member308914164t_bool,X_1),A))| -hBOOL(hAPP_P880235623l_bool(A,X_1)).
% 115.08/113.88  0 [] -hBOOL(hAPP_f526364711l_bool(hAPP_P1062890741l_bool(member2143287562nt_int,X_1),A))|hBOOL(hAPP_P62333565t_bool(A,X_1)).
% 115.08/113.88  0 [] hBOOL(hAPP_f526364711l_bool(hAPP_P1062890741l_bool(member2143287562nt_int,X_1),A))| -hBOOL(hAPP_P62333565t_bool(A,X_1)).
% 115.08/113.88  0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))|hBOOL(hAPP_nat_bool(A,X_1)).
% 115.08/113.88  0 [] hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))| -hBOOL(hAPP_nat_bool(A,X_1)).
% 115.08/113.88  0 [] -hBOOL(hAPP_f215623910l_bool(hAPP_f628503027l_bool(member_fun_int_bool,X_1),A))|hBOOL(hAPP_f448129468l_bool(A,X_1)).
% 115.08/113.88  0 [] hBOOL(hAPP_f215623910l_bool(hAPP_f628503027l_bool(member_fun_int_bool,X_1),A))| -hBOOL(hAPP_f448129468l_bool(A,X_1)).
% 115.08/113.88  0 [] -hBOOL(hAPP_f115998247l_bool(hAPP_P1876494581l_bool(member180897546at_nat,X_1),A))|hBOOL(hAPP_P1463840893t_bool(A,X_1)).
% 115.08/113.88  0 [] hBOOL(hAPP_f115998247l_bool(hAPP_P1876494581l_bool(member180897546at_nat,X_1),A))| -hBOOL(hAPP_P1463840893t_bool(A,X_1)).
% 115.08/113.88  0 [] -hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,X_1),A))|hBOOL(hAPP_real_bool(A,X_1)).
% 115.08/113.88  0 [] hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,X_1),A))| -hBOOL(hAPP_real_bool(A,X_1)).
% 115.08/113.88  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A))|hBOOL(hAPP_int_bool(A,X_1)).
% 115.08/113.88  0 [] hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A))| -hBOOL(hAPP_int_bool(A,X_1)).
% 115.08/113.88  0 [] collec1979865426at_nat(P_1)=P_1.
% 115.08/113.88  0 [] collect_real(P_1)=P_1.
% 115.08/113.88  0 [] collec1347809874nt_int(P_1)=P_1.
% 115.08/113.88  0 [] collec50511176nt_int(P_1)=P_1.
% 115.08/113.88  0 [] collect_nat(P_1)=P_1.
% 115.08/113.88  0 [] collect_int(P_1)=P_1.
% 115.08/113.88  0 [] Y_2=hAPP_f538843494t_bool(hAPP_f1418982953t_bool(produc713279741t_bool,$f94(Y_2)),$f93(Y_2)).
% 115.08/113.88  0 [] Y_57=hAPP_P230595783nt_int(hAPP_P941956607nt_int(produc883642259nt_int,$f96(Y_57)),$f95(Y_57)).
% 115.08/113.88  0 [] Y_57=hAPP_Q1256397320de_int(hAPP_Q952608535de_int(produc1318306967de_int,$f98(Y_57)),$f97(Y_57)).
% 115.08/113.88  0 [] Y_57=hAPP_C2132160860umeral(hAPP_C1614127039umeral(produc2136830103umeral,$f100(Y_57)),$f99(Y_57)).
% 115.08/113.88  0 [] Y_57=hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,$f102(Y_57)),$f101(Y_57)).
% 115.08/113.88  0 [] Y_57=hAPP_P369611207at_nat(hAPP_P402336767at_nat(produc494345619at_nat,$f104(Y_57)),$f103(Y_57)).
% 115.08/113.88  0 [] Y_57=hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,$f106(Y_57)),$f105(Y_57)).
% 115.08/113.88  0 [] Y_57=hAPP_P408881810nt_int(hAPP_i1730167831nt_int(produc282740534nt_int,$f108(Y_57)),$f107(Y_57)).
% 115.08/113.88  0 [] Y_57=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,$f110(Y_57)),$f109(Y_57)).
% 115.08/113.88  0 [] -hBOOL(hAPP_P880235623l_bool(F,hAPP_f538843494t_bool(hAPP_f1418982953t_bool(produc713279741t_bool,Aa),Ba)))|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(produc1775888740l_bool(F),Aa),Ba)).
% 115.08/113.88  0 [] -hBOOL(hAPP_P62333565t_bool(F,hAPP_P230595783nt_int(hAPP_P941956607nt_int(produc883642259nt_int,Aa),Ba)))|hBOOL(hAPP_P603027463t_bool(hAPP_P989584703t_bool(produc353512698t_bool(F),Aa),Ba)).
% 115.08/113.88  0 [] -hBOOL(hAPP_P1709355527t_bool(F,hAPP_Q1256397320de_int(hAPP_Q952608535de_int(produc1318306967de_int,Aa),Ba)))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(produc2013771390t_bool(F),Aa),Ba)).
% 115.08/113.88  0 [] -hBOOL(hAPP_P1164677895l_bool(F,hAPP_C2132160860umeral(hAPP_C1614127039umeral(produc2136830103umeral,Aa),Ba)))|hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(produc609372286l_bool(F),Aa),Ba)).
% 115.08/113.88  0 [] -hBOOL(hAPP_P1333854989l_bool(F,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,Aa),Ba)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(produc748992778l_bool(F),Aa),Ba)).
% 115.08/113.88  0 [] -hBOOL(hAPP_P1463840893t_bool(F,hAPP_P369611207at_nat(hAPP_P402336767at_nat(produc494345619at_nat,Aa),Ba)))|hBOOL(hAPP_P1555980039t_bool(hAPP_P705731903t_bool(produc1319041786t_bool(F),Aa),Ba)).
% 115.08/113.88  0 [] -hBOOL(hAPP_P1555980039t_bool(F,hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,Aa),Ba)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(produc2091540094t_bool(F),Aa),Ba)).
% 115.08/113.88  0 [] -hBOOL(hAPP_P178748804t_bool(F,hAPP_P408881810nt_int(hAPP_i1730167831nt_int(produc282740534nt_int,Aa),Ba)))|hBOOL(hAPP_P603027463t_bool(hAPP_i119638232t_bool(produc97574839t_bool(F),Aa),Ba)).
% 115.08/113.88  0 [] -hBOOL(hAPP_P603027463t_bool(F,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Aa),Ba)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(produc262399358t_bool(F),Aa),Ba)).
% 115.08/113.88  0 [] -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,Aa),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,Ba),E_2)),D)))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,Aa),Ba)),E_2)),C)),D)).
% 115.08/113.88  0 [] 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,Aa),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,Ba),E_2)),D)))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,Aa),Ba)),E_2)),C)),D)).
% 115.08/113.88  0 [] -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,Aa),E_2)),C)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Ba),E_2)),D)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Aa),Ba)),E_2)),C)),D)).
% 115.08/113.88  0 [] 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,Aa),E_2)),C)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Ba),E_2)),D)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Aa),Ba)),E_2)),C)),D)).
% 115.08/113.88  0 [] -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,Aa),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,Ba),E_2)),D)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Aa),Ba)),E_2)),C)),D)).
% 115.08/113.88  0 [] 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,Aa),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,Ba),E_2)),D)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Aa),Ba)),E_2)),C)),D)).
% 115.08/113.88  0 [] -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,Aa),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,Ba),E_2)),D)))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,C),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,Ba),Aa)),E_2)),D))).
% 115.08/113.88  0 [] 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,Aa),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,Ba),E_2)),D)))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,C),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,Ba),Aa)),E_2)),D))).
% 115.08/113.88  0 [] -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,Aa),E_2)),C)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Ba),E_2)),D)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Ba),Aa)),E_2)),D))).
% 115.08/113.88  0 [] 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,Aa),E_2)),C)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Ba),E_2)),D)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Ba),Aa)),E_2)),D))).
% 115.08/113.88  0 [] -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,Aa),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,Ba),E_2)),D)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Ba),Aa)),E_2)),D))).
% 115.08/113.88  0 [] 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,Aa),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,Ba),E_2)),D)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Ba),Aa)),E_2)),D))).
% 115.08/113.88  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,X_71),X_71)),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_71),one_one_rat)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,X_71),one_one_rat)).
% 115.08/113.88  0 [] hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,X_71),X_71)),one_one_complex)=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,X_71),one_one_complex)),hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,X_71),one_one_complex)).
% 115.08/113.88  0 [] hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_71),X_71)),one_one_real)=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_71),one_one_real)),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X_71),one_one_real)).
% 115.08/113.88  0 [] hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_71),X_71)),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_71),one_one_int)),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_71),one_one_int)).
% 115.08/113.88  0 [] -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,Aa),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,Ba),E_2)),D)))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,Aa),Ba)),E_2)),C)),D)).
% 115.08/113.88  0 [] 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,Aa),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,Ba),E_2)),D)))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,Aa),Ba)),E_2)),C)),D)).
% 115.08/113.88  0 [] -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,Aa),E_2)),C)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Ba),E_2)),D)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Aa),Ba)),E_2)),C)),D)).
% 115.08/113.88  0 [] 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,Aa),E_2)),C)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Ba),E_2)),D)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Aa),Ba)),E_2)),C)),D)).
% 115.08/113.88  0 [] -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,Aa),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,Ba),E_2)),D)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Aa),Ba)),E_2)),C)),D)).
% 115.08/113.88  0 [] 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,Aa),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,Ba),E_2)),D)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Aa),Ba)),E_2)),C)),D)).
% 115.08/113.88  0 [] -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,Aa),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,Ba),E_2)),D)))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,C),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,Ba),Aa)),E_2)),D))).
% 115.08/113.88  0 [] 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,Aa),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,Ba),E_2)),D)))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,C),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,Ba),Aa)),E_2)),D))).
% 115.08/113.88  0 [] -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,Aa),E_2)),C)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Ba),E_2)),D)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Ba),Aa)),E_2)),D))).
% 115.08/113.88  0 [] 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,Aa),E_2)),C)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Ba),E_2)),D)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Ba),Aa)),E_2)),D))).
% 115.08/113.88  0 [] -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,Aa),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,Ba),E_2)),D)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Ba),Aa)),E_2)),D))).
% 115.08/113.88  0 [] 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,Aa),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,Ba),E_2)),D)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Ba),Aa)),E_2)),D))).
% 115.08/113.88  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_int_rat(number_number_of_rat,V_25)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,hAPP_int_rat(number_number_of_rat,W_17)),C_86))=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_25),W_17))),C_86).
% 115.08/113.88  0 [] hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_int_complex(number528085621omplex,V_25)),hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,hAPP_int_complex(number528085621omplex,W_17)),C_86))=hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,hAPP_int_complex(number528085621omplex,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_25),W_17))),C_86).
% 115.08/113.88  0 [] hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_int_real(number267125858f_real,V_25)),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_int_real(number267125858f_real,W_17)),C_86))=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_25),W_17))),C_86).
% 115.08/113.88  0 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(number_number_of_int,V_25)),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(number_number_of_int,W_17)),C_86))=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_25),W_17))),C_86).
% 115.08/113.88  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(in_rel512175208t_bool(R_4),X_1),Y_2))|hBOOL(hAPP_f1469637905l_bool(hAPP_P1681069257l_bool(member308914164t_bool,hAPP_f538843494t_bool(hAPP_f1418982953t_bool(produc713279741t_bool,X_1),Y_2)),R_4)).
% 115.08/113.88  0 [] hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(in_rel512175208t_bool(R_4),X_1),Y_2))| -hBOOL(hAPP_f1469637905l_bool(hAPP_P1681069257l_bool(member308914164t_bool,hAPP_f538843494t_bool(hAPP_f1418982953t_bool(produc713279741t_bool,X_1),Y_2)),R_4)).
% 115.08/113.88  0 [] -hBOOL(hAPP_P603027463t_bool(hAPP_P989584703t_bool(in_rel682537726nt_int(R_4),X_1),Y_2))|hBOOL(hAPP_f526364711l_bool(hAPP_P1062890741l_bool(member2143287562nt_int,hAPP_P230595783nt_int(hAPP_P941956607nt_int(produc883642259nt_int,X_1),Y_2)),R_4)).
% 115.08/113.88  0 [] hBOOL(hAPP_P603027463t_bool(hAPP_P989584703t_bool(in_rel682537726nt_int(R_4),X_1),Y_2))| -hBOOL(hAPP_f526364711l_bool(hAPP_P1062890741l_bool(member2143287562nt_int,hAPP_P230595783nt_int(hAPP_P941956607nt_int(produc883642259nt_int,X_1),Y_2)),R_4)).
% 115.08/113.88  0 [] -hBOOL(hAPP_P1555980039t_bool(hAPP_P705731903t_bool(in_rel293241086at_nat(R_4),X_1),Y_2))|hBOOL(hAPP_f115998247l_bool(hAPP_P1876494581l_bool(member180897546at_nat,hAPP_P369611207at_nat(hAPP_P402336767at_nat(produc494345619at_nat,X_1),Y_2)),R_4)).
% 115.08/113.88  0 [] hBOOL(hAPP_P1555980039t_bool(hAPP_P705731903t_bool(in_rel293241086at_nat(R_4),X_1),Y_2))| -hBOOL(hAPP_f115998247l_bool(hAPP_P1876494581l_bool(member180897546at_nat,hAPP_P369611207at_nat(hAPP_P402336767at_nat(produc494345619at_nat,X_1),Y_2)),R_4)).
% 115.08/113.88  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(in_rel1707483778de_int(R_4),X_1),Y_2))|hBOOL(hAPP_f222989233l_bool(hAPP_P1879777545l_bool(member2092545300de_int,hAPP_Q1256397320de_int(hAPP_Q952608535de_int(produc1318306967de_int,X_1),Y_2)),R_4)).
% 115.08/113.88  0 [] hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(in_rel1707483778de_int(R_4),X_1),Y_2))| -hBOOL(hAPP_f222989233l_bool(hAPP_P1879777545l_bool(member2092545300de_int,hAPP_Q1256397320de_int(hAPP_Q952608535de_int(produc1318306967de_int,X_1),Y_2)),R_4)).
% 115.08/113.88  0 [] -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(in_rel1251239042umeral(R_4),X_1),Y_2))|hBOOL(hAPP_f251496625l_bool(hAPP_P2045320969l_bool(member1246959636umeral,hAPP_C2132160860umeral(hAPP_C1614127039umeral(produc2136830103umeral,X_1),Y_2)),R_4)).
% 115.08/113.88  0 [] hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(in_rel1251239042umeral(R_4),X_1),Y_2))| -hBOOL(hAPP_f251496625l_bool(hAPP_P2045320969l_bool(member1246959636umeral,hAPP_C2132160860umeral(hAPP_C1614127039umeral(produc2136830103umeral,X_1),Y_2)),R_4)).
% 115.08/113.88  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(in_rel_real_real(R_4),X_1),Y_2))|hBOOL(hAPP_f46817975l_bool(hAPP_P1946311189l_bool(member1344826522l_real,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,X_1),Y_2)),R_4)).
% 115.08/113.88  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(in_rel_real_real(R_4),X_1),Y_2))| -hBOOL(hAPP_f46817975l_bool(hAPP_P1946311189l_bool(member1344826522l_real,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,X_1),Y_2)),R_4)).
% 115.08/113.88  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(in_rel_nat_nat(R_4),X_1),Y_2))|hBOOL(hAPP_f879361201l_bool(hAPP_P1251024649l_bool(member232255508at_nat,hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,X_1),Y_2)),R_4)).
% 115.08/113.88  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(in_rel_nat_nat(R_4),X_1),Y_2))| -hBOOL(hAPP_f879361201l_bool(hAPP_P1251024649l_bool(member232255508at_nat,hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,X_1),Y_2)),R_4)).
% 115.08/113.88  0 [] -hBOOL(hAPP_P603027463t_bool(hAPP_i119638232t_bool(in_rel1239871883nt_int(R_4),X_1),Y_2))|hBOOL(hAPP_f928428050l_bool(hAPP_P2074576781l_bool(member791087631nt_int,hAPP_P408881810nt_int(hAPP_i1730167831nt_int(produc282740534nt_int,X_1),Y_2)),R_4)).
% 115.08/113.88  0 [] hBOOL(hAPP_P603027463t_bool(hAPP_i119638232t_bool(in_rel1239871883nt_int(R_4),X_1),Y_2))| -hBOOL(hAPP_f928428050l_bool(hAPP_P2074576781l_bool(member791087631nt_int,hAPP_P408881810nt_int(hAPP_i1730167831nt_int(produc282740534nt_int,X_1),Y_2)),R_4)).
% 115.08/113.88  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(in_rel_int_int(R_4),X_1),Y_2))|hBOOL(hAPP_f851219889l_bool(hAPP_P1268961545l_bool(member1747683604nt_int,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,X_1),Y_2)),R_4)).
% 115.08/113.88  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(in_rel_int_int(R_4),X_1),Y_2))| -hBOOL(hAPP_f851219889l_bool(hAPP_P1268961545l_bool(member1747683604nt_int,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,X_1),Y_2)),R_4)).
% 115.08/113.88  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(produc1775888740l_bool(F),Aa),Ba))|hBOOL(hAPP_P880235623l_bool(F,hAPP_f538843494t_bool(hAPP_f1418982953t_bool(produc713279741t_bool,Aa),Ba))).
% 115.08/113.88  0 [] -hBOOL(hAPP_P603027463t_bool(hAPP_P989584703t_bool(produc353512698t_bool(F),Aa),Ba))|hBOOL(hAPP_P62333565t_bool(F,hAPP_P230595783nt_int(hAPP_P941956607nt_int(produc883642259nt_int,Aa),Ba))).
% 115.08/113.88  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(produc2013771390t_bool(F),Aa),Ba))|hBOOL(hAPP_P1709355527t_bool(F,hAPP_Q1256397320de_int(hAPP_Q952608535de_int(produc1318306967de_int,Aa),Ba))).
% 115.08/113.88  0 [] -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(produc609372286l_bool(F),Aa),Ba))|hBOOL(hAPP_P1164677895l_bool(F,hAPP_C2132160860umeral(hAPP_C1614127039umeral(produc2136830103umeral,Aa),Ba))).
% 115.08/113.88  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(produc748992778l_bool(F),Aa),Ba))|hBOOL(hAPP_P1333854989l_bool(F,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,Aa),Ba))).
% 115.08/113.88  0 [] -hBOOL(hAPP_P1555980039t_bool(hAPP_P705731903t_bool(produc1319041786t_bool(F),Aa),Ba))|hBOOL(hAPP_P1463840893t_bool(F,hAPP_P369611207at_nat(hAPP_P402336767at_nat(produc494345619at_nat,Aa),Ba))).
% 115.08/113.88  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(produc2091540094t_bool(F),Aa),Ba))|hBOOL(hAPP_P1555980039t_bool(F,hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,Aa),Ba))).
% 115.08/113.88  0 [] -hBOOL(hAPP_P603027463t_bool(hAPP_i119638232t_bool(produc97574839t_bool(F),Aa),Ba))|hBOOL(hAPP_P178748804t_bool(F,hAPP_P408881810nt_int(hAPP_i1730167831nt_int(produc282740534nt_int,Aa),Ba))).
% 115.08/113.88  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(produc262399358t_bool(F),Aa),Ba))|hBOOL(hAPP_P603027463t_bool(F,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Aa),Ba))).
% 115.08/113.88  0 [] one_one_rat!=X_1|X_1=one_one_rat.
% 115.08/113.88  0 [] one_one_rat=X_1|X_1!=one_one_rat.
% 115.08/113.88  0 [] one_on1684967323de_int!=X_1|X_1=one_on1684967323de_int.
% 115.08/113.88  0 [] one_on1684967323de_int=X_1|X_1!=one_on1684967323de_int.
% 115.08/113.88  0 [] one_one_complex!=X_1|X_1=one_one_complex.
% 115.08/113.88  0 [] one_one_complex=X_1|X_1!=one_one_complex.
% 115.08/113.88  0 [] one_on1645066479umeral!=X_1|X_1=one_on1645066479umeral.
% 115.08/113.88  0 [] one_on1645066479umeral=X_1|X_1!=one_on1645066479umeral.
% 115.08/113.88  0 [] one_one_nat!=X_1|X_1=one_one_nat.
% 115.08/113.88  0 [] one_one_nat=X_1|X_1!=one_one_nat.
% 115.08/113.88  0 [] one_one_real!=X_1|X_1=one_one_real.
% 115.08/113.88  0 [] one_one_real=X_1|X_1!=one_one_real.
% 115.08/113.88  0 [] one_one_int!=X_1|X_1=one_one_int.
% 115.08/113.88  0 [] one_one_int=X_1|X_1!=one_one_int.
% 115.08/113.88  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Z_2),one_one_int)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,W_1),Z_2)).
% 115.08/113.88  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Z_2),one_one_int)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,W_1),Z_2)).
% 115.08/113.88  0 [] hAPP_int_rat(number_number_of_rat,W_1)!=X_1|X_1=hAPP_int_rat(number_number_of_rat,W_1).
% 115.08/113.88  0 [] hAPP_int_rat(number_number_of_rat,W_1)=X_1|X_1!=hAPP_int_rat(number_number_of_rat,W_1).
% 115.08/113.88  0 [] hAPP_i1732201573de_int(number1226105091de_int,W_1)!=X_1|X_1=hAPP_i1732201573de_int(number1226105091de_int,W_1).
% 115.08/113.88  0 [] hAPP_i1732201573de_int(number1226105091de_int,W_1)=X_1|X_1!=hAPP_i1732201573de_int(number1226105091de_int,W_1).
% 115.08/113.88  0 [] hAPP_int_complex(number528085621omplex,W_1)!=X_1|X_1=hAPP_int_complex(number528085621omplex,W_1).
% 115.08/113.88  0 [] hAPP_int_complex(number528085621omplex,W_1)=X_1|X_1!=hAPP_int_complex(number528085621omplex,W_1).
% 115.08/113.88  0 [] hAPP_i769753017umeral(number1443263063umeral,W_1)!=X_1|X_1=hAPP_i769753017umeral(number1443263063umeral,W_1).
% 115.08/113.88  0 [] hAPP_i769753017umeral(number1443263063umeral,W_1)=X_1|X_1!=hAPP_i769753017umeral(number1443263063umeral,W_1).
% 115.08/113.88  0 [] hAPP_int_nat(number_number_of_nat,W_1)!=X_1|X_1=hAPP_int_nat(number_number_of_nat,W_1).
% 115.08/113.88  0 [] hAPP_int_nat(number_number_of_nat,W_1)=X_1|X_1!=hAPP_int_nat(number_number_of_nat,W_1).
% 115.08/113.88  0 [] hAPP_int_real(number267125858f_real,W_1)!=X_1|X_1=hAPP_int_real(number267125858f_real,W_1).
% 115.08/113.88  0 [] hAPP_int_real(number267125858f_real,W_1)=X_1|X_1!=hAPP_int_real(number267125858f_real,W_1).
% 115.08/113.88  0 [] hAPP_int_int(number_number_of_int,W_1)!=X_1|X_1=hAPP_int_int(number_number_of_int,W_1).
% 115.08/113.88  0 [] hAPP_int_int(number_number_of_int,W_1)=X_1|X_1!=hAPP_int_int(number_number_of_int,W_1).
% 115.08/113.88  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_int_rat(number_number_of_rat,V)),hAPP_int_rat(number_number_of_rat,W_1)))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_int_rat(number_number_of_rat,W_1)),hAPP_int_rat(number_number_of_rat,V))).
% 115.08/113.88  0 [] hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_int_rat(number_number_of_rat,V)),hAPP_int_rat(number_number_of_rat,W_1)))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_int_rat(number_number_of_rat,W_1)),hAPP_int_rat(number_number_of_rat,V))).
% 115.08/113.88  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_i1732201573de_int(number1226105091de_int,V)),hAPP_i1732201573de_int(number1226105091de_int,W_1)))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_i1732201573de_int(number1226105091de_int,W_1)),hAPP_i1732201573de_int(number1226105091de_int,V))).
% 115.08/113.88  0 [] hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_i1732201573de_int(number1226105091de_int,V)),hAPP_i1732201573de_int(number1226105091de_int,W_1)))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_i1732201573de_int(number1226105091de_int,W_1)),hAPP_i1732201573de_int(number1226105091de_int,V))).
% 115.08/113.88  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_int_nat(number_number_of_nat,V)),hAPP_int_nat(number_number_of_nat,W_1)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_int_nat(number_number_of_nat,W_1)),hAPP_int_nat(number_number_of_nat,V))).
% 115.08/113.88  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_int_nat(number_number_of_nat,V)),hAPP_int_nat(number_number_of_nat,W_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_int_nat(number_number_of_nat,W_1)),hAPP_int_nat(number_number_of_nat,V))).
% 115.08/113.88  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(number267125858f_real,V)),hAPP_int_real(number267125858f_real,W_1)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(number267125858f_real,W_1)),hAPP_int_real(number267125858f_real,V))).
% 115.08/113.88  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(number267125858f_real,V)),hAPP_int_real(number267125858f_real,W_1)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(number267125858f_real,W_1)),hAPP_int_real(number267125858f_real,V))).
% 115.08/113.88  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(number_number_of_int,V)),hAPP_int_int(number_number_of_int,W_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,W_1)),hAPP_int_int(number_number_of_int,V))).
% 115.08/113.88  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(number_number_of_int,V)),hAPP_int_int(number_number_of_int,W_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,W_1)),hAPP_int_int(number_number_of_int,V))).
% 115.08/113.88  0 [] -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,hAPP_i769753017umeral(number1443263063umeral,V)),hAPP_i769753017umeral(number1443263063umeral,W_1)))| -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_i769753017umeral(number1443263063umeral,W_1)),hAPP_i769753017umeral(number1443263063umeral,V))).
% 115.08/113.88  0 [] hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,hAPP_i769753017umeral(number1443263063umeral,V)),hAPP_i769753017umeral(number1443263063umeral,W_1)))|hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_i769753017umeral(number1443263063umeral,W_1)),hAPP_i769753017umeral(number1443263063umeral,V))).
% 115.08/113.88  0 [] hAPP_int_rat(number_number_of_rat,X_1)!=hAPP_int_rat(number_number_of_rat,Y_2)|X_1=Y_2.
% 115.08/113.88  0 [] hAPP_int_rat(number_number_of_rat,X_1)=hAPP_int_rat(number_number_of_rat,Y_2)|X_1!=Y_2.
% 115.08/113.88  0 [] hAPP_int_complex(number528085621omplex,X_1)!=hAPP_int_complex(number528085621omplex,Y_2)|X_1=Y_2.
% 115.08/113.88  0 [] hAPP_int_complex(number528085621omplex,X_1)=hAPP_int_complex(number528085621omplex,Y_2)|X_1!=Y_2.
% 115.08/113.88  0 [] hAPP_int_real(number267125858f_real,X_1)!=hAPP_int_real(number267125858f_real,Y_2)|X_1=Y_2.
% 115.08/113.88  0 [] hAPP_int_real(number267125858f_real,X_1)=hAPP_int_real(number267125858f_real,Y_2)|X_1!=Y_2.
% 115.08/113.88  0 [] hAPP_int_int(number_number_of_int,X_1)!=hAPP_int_int(number_number_of_int,Y_2)|X_1=Y_2.
% 115.08/113.88  0 [] hAPP_int_int(number_number_of_int,X_1)=hAPP_int_int(number_number_of_int,Y_2)|X_1!=Y_2.
% 115.08/113.88  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_int_rat(number_number_of_rat,X_1)),hAPP_int_rat(number_number_of_rat,Y_2)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_2)).
% 115.08/113.88  0 [] hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_int_rat(number_number_of_rat,X_1)),hAPP_int_rat(number_number_of_rat,Y_2)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_2)).
% 115.08/113.88  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(number267125858f_real,X_1)),hAPP_int_real(number267125858f_real,Y_2)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_2)).
% 115.08/113.88  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(number267125858f_real,X_1)),hAPP_int_real(number267125858f_real,Y_2)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_2)).
% 115.08/113.88  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,X_1)),hAPP_int_int(number_number_of_int,Y_2)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_2)).
% 115.08/113.88  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,X_1)),hAPP_int_int(number_number_of_int,Y_2)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_2)).
% 115.08/113.88  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_int_rat(number_number_of_rat,X_1)),hAPP_int_rat(number_number_of_rat,Y_2)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_2)).
% 115.08/113.88  0 [] hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_int_rat(number_number_of_rat,X_1)),hAPP_int_rat(number_number_of_rat,Y_2)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_2)).
% 115.08/113.88  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(number267125858f_real,X_1)),hAPP_int_real(number267125858f_real,Y_2)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_2)).
% 115.08/113.88  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(number267125858f_real,X_1)),hAPP_int_real(number267125858f_real,Y_2)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_2)).
% 115.08/113.88  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(number_number_of_int,X_1)),hAPP_int_int(number_number_of_int,Y_2)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_2)).
% 115.08/113.88  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(number_number_of_int,X_1)),hAPP_int_int(number_number_of_int,Y_2)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_2)).
% 115.08/113.88  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,W_1),one_one_int)),Z_2))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),Z_2)).
% 115.08/113.88  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,W_1),one_one_int)),Z_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),Z_2)).
% 115.08/113.88  0 [] X_70=Y_56|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_70),Y_56))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Y_56),X_70)).
% 115.08/113.88  0 [] X_70=Y_56|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_70),Y_56))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_56),X_70)).
% 115.08/113.88  0 [] X_70=Y_56|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_70),Y_56))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_56),X_70)).
% 115.08/113.88  0 [] -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)).
% 115.08/113.88  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_69),Y_55))|X_69=Y_55|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_69),Y_55)).
% 115.08/113.88  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,X_1),Y_2))|X_1=Y_2|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,X_1),Y_2)).
% 115.08/113.88  0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_1),Y_2))|X_1=Y_2|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X_1),Y_2)).
% 115.08/113.89  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,X_69),Y_55))|X_69=Y_55|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_69),Y_55)).
% 115.08/113.89  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_69),Y_55))|X_69=Y_55|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_69),Y_55)).
% 115.08/113.89  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_69),Y_55))|X_69=Y_55|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_69),Y_55)).
% 115.08/113.89  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_69),Y_55))|X_69=Y_55|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_69),Y_55)).
% 115.08/113.89  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,W_1),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Z_2),one_one_int)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),Z_2)).
% 115.08/113.89  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,W_1),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Z_2),one_one_int)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),Z_2)).
% 115.08/113.89  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,one_one_rat),M_10))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,one_one_rat),N_8))|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_10),N_8))).
% 115.08/113.89  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,one_on1684967323de_int),M_10))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,one_on1684967323de_int),N_8))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,one_on1684967323de_int),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,M_10),N_8))).
% 115.08/113.89  0 [] -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,one_on1645066479umeral),M_10))| -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,one_on1645066479umeral),N_8))|hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,one_on1645066479umeral),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,M_10),N_8))).
% 115.08/113.89  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),M_10))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),N_8))|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_10),N_8))).
% 115.08/113.89  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),M_10))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),N_8))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,M_10),N_8))).
% 115.08/113.89  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),M_10))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),N_8))|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_10),N_8))).
% 115.08/113.89  0 [] hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_220),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_220),one_one_rat))).
% 115.08/113.89  0 [] hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_220),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_220),one_on1684967323de_int))).
% 115.08/113.89  0 [] hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,A_220),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_220),one_on1645066479umeral))).
% 115.08/113.89  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_220),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_220),one_one_nat))).
% 115.08/113.89  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_220),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_220),one_one_real))).
% 115.08/113.89  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_220),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_220),one_one_int))).
% 115.08/113.89  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_219),B_168))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,C_85),D_17))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_219),C_85)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,B_168),D_17))).
% 115.08/113.89  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_219),B_168))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,C_85),D_17))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_219),C_85)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,B_168),D_17))).
% 115.08/113.89  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_219),B_168))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_85),D_17))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_219),C_85)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_168),D_17))).
% 115.08/113.89  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_219),B_168))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_85),D_17))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_219),C_85)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B_168),D_17))).
% 115.08/113.89  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_219),B_168))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_85),D_17))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_219),C_85)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_168),D_17))).
% 115.08/113.89  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_218),B_167))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,C_84),D_16))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_218),C_84)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,B_167),D_16))).
% 115.08/113.89  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_218),B_167))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,C_84),D_16))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_218),C_84)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,B_167),D_16))).
% 115.08/113.89  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_218),B_167))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_84),D_16))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_218),C_84)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_167),D_16))).
% 115.08/113.89  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_218),B_167))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_84),D_16))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_218),C_84)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B_167),D_16))).
% 115.08/113.89  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_218),B_167))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_84),D_16))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_218),C_84)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_167),D_16))).
% 115.08/113.89  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_16),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_16),Z_4)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,W),Z_1))).
% 115.08/113.89  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Z_2),one_one_int)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),Z_2))|W_1=Z_2.
% 115.08/113.89  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Z_2),one_one_int)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),Z_2)).
% 115.08/113.89  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Z_2),one_one_int)))|W_1!=Z_2.
% 115.08/113.89  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,Aa),C)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,Ba),C)))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Aa),Ba)).
% 115.08/113.89  0 [] hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,Aa),C)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,Ba),C)))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Aa),Ba)).
% 115.08/113.89  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,Aa),C)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,Ba),C)))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Aa),Ba)).
% 115.08/113.89  0 [] hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,Aa),C)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,Ba),C)))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Aa),Ba)).
% 115.08/113.89  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Aa),C)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Ba),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Aa),Ba)).
% 115.08/113.89  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Aa),C)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Ba),C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Aa),Ba)).
% 115.08/113.89  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Aa),C)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Ba),C)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba)).
% 115.08/113.89  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Aa),C)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Ba),C)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba)).
% 115.08/113.89  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Aa),C)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Ba),C)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),Ba)).
% 115.08/113.89  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Aa),C)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Ba),C)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),Ba)).
% 115.08/113.89  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C),Aa)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C),Ba)))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Aa),Ba)).
% 115.08/113.89  0 [] hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C),Aa)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C),Ba)))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Aa),Ba)).
% 115.08/113.89  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C),Aa)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C),Ba)))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Aa),Ba)).
% 115.08/113.89  0 [] hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C),Aa)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C),Ba)))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Aa),Ba)).
% 115.08/113.89  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C),Aa)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C),Ba)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Aa),Ba)).
% 115.08/113.89  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C),Aa)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C),Ba)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Aa),Ba)).
% 115.08/113.89  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C),Aa)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C),Ba)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba)).
% 115.08/113.89  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C),Aa)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C),Ba)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba)).
% 115.08/113.89  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C),Aa)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C),Ba)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),Ba)).
% 115.08/113.89  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C),Aa)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C),Ba)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),Ba)).
% 115.08/113.89  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_217),B_166))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_217),C_83)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,B_166),C_83))).
% 115.08/113.89  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_217),B_166))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_217),C_83)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,B_166),C_83))).
% 115.08/113.89  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_217),B_166))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_217),C_83)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_166),C_83))).
% 115.08/113.89  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_217),B_166))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_217),C_83)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B_166),C_83))).
% 115.08/113.89  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_217),B_166))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_217),C_83)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_166),C_83))).
% 115.08/113.89  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_216),B_165))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C_82),A_216)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C_82),B_165))).
% 115.08/113.89  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_216),B_165))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C_82),A_216)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C_82),B_165))).
% 115.08/113.89  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_216),B_165))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_82),A_216)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_82),B_165))).
% 115.08/113.89  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_216),B_165))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C_82),A_216)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C_82),B_165))).
% 115.08/113.89  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_216),B_165))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_82),A_216)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_82),B_165))).
% 115.08/113.89  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_215),B_164))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,C_81),D_15))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_215),C_81)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,B_164),D_15))).
% 115.08/113.89  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_215),B_164))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,C_81),D_15))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_215),C_81)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,B_164),D_15))).
% 115.08/113.89  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_215),B_164))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_81),D_15))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_215),C_81)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_164),D_15))).
% 115.08/113.89  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_215),B_164))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_81),D_15))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_215),C_81)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B_164),D_15))).
% 115.08/113.89  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_215),B_164))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_81),D_15))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_215),C_81)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_164),D_15))).
% 115.08/113.89  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_214),C_80)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,B_163),C_80)))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_214),B_163)).
% 115.08/113.89  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_214),C_80)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,B_163),C_80)))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_214),B_163)).
% 115.08/113.89  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_214),C_80)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_163),C_80)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_214),B_163)).
% 115.08/113.89  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_214),C_80)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B_163),C_80)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_214),B_163)).
% 115.08/113.89  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_214),C_80)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_163),C_80)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_214),B_163)).
% 115.08/113.89  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C_79),A_213)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C_79),B_162)))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_213),B_162)).
% 115.08/113.89  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C_79),A_213)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C_79),B_162)))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_213),B_162)).
% 115.08/113.89  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_79),A_213)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_79),B_162)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_213),B_162)).
% 115.08/113.89  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C_79),A_213)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C_79),B_162)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_213),B_162)).
% 115.08/113.89  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_79),A_213)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_79),B_162)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_213),B_162)).
% 115.08/113.89  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,one_one_rat),A_212)=A_212.
% 115.08/113.89  0 [] hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,one_on1684967323de_int),A_212)=A_212.
% 115.08/113.89  0 [] hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,one_one_complex),A_212)=A_212.
% 115.08/113.89  0 [] hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,one_on1645066479umeral),A_212)=A_212.
% 115.08/113.89  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,one_one_nat),A_212)=A_212.
% 115.08/113.89  0 [] hAPP_real_real(hAPP_r1250527377l_real(times_times_real,one_one_real),A_212)=A_212.
% 115.08/113.89  0 [] hAPP_int_int(hAPP_int_fun_int_int(times_times_int,one_one_int),A_212)=A_212.
% 115.08/113.89  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_211),one_one_rat)=A_211.
% 115.08/113.89  0 [] hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_211),one_on1684967323de_int)=A_211.
% 115.08/113.89  0 [] hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_211),one_one_complex)=A_211.
% 115.08/113.89  0 [] hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_211),one_on1645066479umeral)=A_211.
% 115.08/113.89  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_211),one_one_nat)=A_211.
% 115.08/113.89  0 [] hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_211),one_one_real)=A_211.
% 115.08/113.89  0 [] hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_211),one_one_int)=A_211.
% 115.08/113.89  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,one_one_rat),A_210)=A_210.
% 115.08/113.89  0 [] hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,one_on1684967323de_int),A_210)=A_210.
% 115.08/113.89  0 [] hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,one_one_complex),A_210)=A_210.
% 115.08/113.89  0 [] hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,one_on1645066479umeral),A_210)=A_210.
% 115.08/113.89  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,one_one_nat),A_210)=A_210.
% 115.08/113.89  0 [] hAPP_real_real(hAPP_r1250527377l_real(times_times_real,one_one_real),A_210)=A_210.
% 115.08/113.89  0 [] hAPP_int_int(hAPP_int_fun_int_int(times_times_int,one_one_int),A_210)=A_210.
% 115.08/113.89  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,one_one_rat),A_209)=A_209.
% 115.08/113.89  0 [] hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,one_on1684967323de_int),A_209)=A_209.
% 115.08/113.89  0 [] hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,one_one_complex),A_209)=A_209.
% 115.08/113.89  0 [] hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,one_on1645066479umeral),A_209)=A_209.
% 115.08/113.89  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,one_one_nat),A_209)=A_209.
% 115.08/113.89  0 [] hAPP_real_real(hAPP_r1250527377l_real(times_times_real,one_one_real),A_209)=A_209.
% 115.08/113.89  0 [] hAPP_int_int(hAPP_int_fun_int_int(times_times_int,one_one_int),A_209)=A_209.
% 115.08/113.89  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_208),one_one_rat)=A_208.
% 115.08/113.89  0 [] hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_208),one_on1684967323de_int)=A_208.
% 115.08/113.89  0 [] hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_208),one_one_complex)=A_208.
% 115.08/113.89  0 [] hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_208),one_on1645066479umeral)=A_208.
% 115.08/113.89  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_208),one_one_nat)=A_208.
% 115.08/113.89  0 [] hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_208),one_one_real)=A_208.
% 115.08/113.89  0 [] hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_208),one_one_int)=A_208.
% 115.08/113.89  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_207),one_one_rat)=A_207.
% 115.08/113.89  0 [] hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_207),one_on1684967323de_int)=A_207.
% 115.08/113.89  0 [] hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_207),one_one_complex)=A_207.
% 115.08/113.89  0 [] hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_207),one_on1645066479umeral)=A_207.
% 115.08/113.89  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_207),one_one_nat)=A_207.
% 115.08/113.89  0 [] hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_207),one_one_real)=A_207.
% 115.08/113.89  0 [] hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_207),one_one_int)=A_207.
% 115.08/113.89  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,Aa),Ba)!=hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,C),D)| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Aa),Ba))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,C),D)).
% 115.08/113.89  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,Aa),Ba)!=hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,C),D)|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Aa),Ba))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,C),D)).
% 115.08/113.89  0 [] hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Aa),Ba)!=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,C),D)| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C),D)).
% 115.08/113.89  0 [] hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Aa),Ba)!=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,C),D)|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C),D)).
% 115.08/113.89  0 [] hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Aa),Ba)!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,C),D)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),Ba))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),D)).
% 115.08/113.89  0 [] hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Aa),Ba)!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,C),D)|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),Ba))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),D)).
% 115.08/113.89  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,Aa),C)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,Ba),C)))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Aa),Ba)).
% 115.08/113.89  0 [] hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,Aa),C)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,Ba),C)))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Aa),Ba)).
% 115.08/113.89  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,Aa),C)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,Ba),C)))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,Aa),Ba)).
% 115.08/113.89  0 [] hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,Aa),C)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,Ba),C)))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,Aa),Ba)).
% 115.08/113.89  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Aa),C)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Ba),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Aa),Ba)).
% 115.08/113.89  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Aa),C)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Ba),C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Aa),Ba)).
% 115.08/113.89  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Aa),C)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Ba),C)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba)).
% 115.08/113.89  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Aa),C)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Ba),C)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba)).
% 115.08/113.89  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Aa),C)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Ba),C)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),Ba)).
% 115.08/113.89  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Aa),C)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Ba),C)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),Ba)).
% 115.08/113.89  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C),Aa)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C),Ba)))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Aa),Ba)).
% 115.08/113.89  0 [] hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C),Aa)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C),Ba)))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Aa),Ba)).
% 115.08/113.89  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C),Aa)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C),Ba)))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,Aa),Ba)).
% 115.08/113.89  0 [] hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C),Aa)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C),Ba)))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,Aa),Ba)).
% 115.08/113.89  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C),Aa)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C),Ba)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Aa),Ba)).
% 115.08/113.89  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C),Aa)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C),Ba)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Aa),Ba)).
% 115.08/113.89  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C),Aa)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C),Ba)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba)).
% 115.08/113.89  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C),Aa)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C),Ba)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba)).
% 115.08/113.89  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C),Aa)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C),Ba)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),Ba)).
% 115.08/113.89  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C),Aa)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C),Ba)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),Ba)).
% 115.08/113.89  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_206),B_161))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_206),C_78)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,B_161),C_78))).
% 115.08/113.89  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_206),B_161))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_206),C_78)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,B_161),C_78))).
% 115.08/113.89  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_206),B_161))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_206),C_78)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_161),C_78))).
% 115.08/113.89  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_206),B_161))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_206),C_78)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B_161),C_78))).
% 115.08/113.89  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_206),B_161))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_206),C_78)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_161),C_78))).
% 115.08/113.89  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_205),B_160))|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_205)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C_77),B_160))).
% 115.08/113.89  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_205),B_160))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C_77),A_205)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C_77),B_160))).
% 115.08/113.89  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_205),B_160))|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_205)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_77),B_160))).
% 115.08/113.89  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_205),B_160))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C_77),A_205)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C_77),B_160))).
% 115.08/113.89  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_205),B_160))|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_205)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_77),B_160))).
% 115.08/113.89  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_204),B_159))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,C_76),D_14))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_204),C_76)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,B_159),D_14))).
% 115.08/113.89  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_204),B_159))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,C_76),D_14))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_204),C_76)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,B_159),D_14))).
% 115.08/113.89  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_204),B_159))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_76),D_14))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_204),C_76)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_159),D_14))).
% 115.08/113.89  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_204),B_159))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_76),D_14))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_204),C_76)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B_159),D_14))).
% 115.08/113.89  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_204),B_159))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_76),D_14))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_204),C_76)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_159),D_14))).
% 115.08/113.89  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_203),C_75)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,B_158),C_75)))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_203),B_158)).
% 115.08/113.89  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_203),C_75)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,B_158),C_75)))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_203),B_158)).
% 115.08/113.89  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_203),C_75)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_158),C_75)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_203),B_158)).
% 115.08/113.89  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_203),C_75)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B_158),C_75)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_203),B_158)).
% 115.08/113.89  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_203),C_75)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_158),C_75)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_203),B_158)).
% 115.08/113.89  0 [] -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_202)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C_74),B_157)))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_202),B_157)).
% 115.08/113.89  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C_74),A_202)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C_74),B_157)))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_202),B_157)).
% 115.08/113.89  0 [] -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_202)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_74),B_157)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_202),B_157)).
% 115.08/113.89  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C_74),A_202)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C_74),B_157)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_202),B_157)).
% 115.08/113.89  0 [] -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_202)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_74),B_157)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_202),B_157)).
% 115.08/113.89  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,Aa),Ba)!=hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,C),D)| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Aa),Ba))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,C),D)).
% 115.08/113.89  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,Aa),Ba)!=hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,C),D)|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Aa),Ba))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,C),D)).
% 115.08/113.89  0 [] hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Aa),Ba)!=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,C),D)| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C),D)).
% 115.08/113.89  0 [] hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Aa),Ba)!=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,C),D)|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C),D)).
% 115.08/113.89  0 [] hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Aa),Ba)!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,C),D)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),Ba))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C),D)).
% 115.08/113.89  0 [] hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Aa),Ba)!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,C),D)|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),Ba))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C),D)).
% 115.08/113.89  0 [] hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,V_2)),hAPP_int_int(number_number_of_int,W))=hAPP_int_int(number_number_of_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,V_2),W)).
% 115.08/113.89  0 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(number_number_of_int,V_2)),hAPP_int_int(number_number_of_int,W))=hAPP_int_int(number_number_of_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_2),W)).
% 115.08/113.89  0 [] -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))).
% 115.08/113.89  0 [] -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))).
% 115.08/113.89  0 [] hAPP_int_int(hAPP_int_fun_int_int(times_times_int,one_one_int),Z_1)=Z_1.
% 115.08/113.89  0 [] hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Z_1),one_one_int)=Z_1.
% 115.08/113.89  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_int_rat(number_number_of_rat,V_24)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,B_156),C_73))=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_24)),B_156)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_int_rat(number_number_of_rat,V_24)),C_73)).
% 115.08/113.89  0 [] hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_i1732201573de_int(number1226105091de_int,V_24)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,B_156),C_73))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_i1732201573de_int(number1226105091de_int,V_24)),B_156)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_i1732201573de_int(number1226105091de_int,V_24)),C_73)).
% 115.08/113.89  0 [] hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_int_complex(number528085621omplex,V_24)),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,B_156),C_73))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_int_complex(number528085621omplex,V_24)),B_156)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_int_complex(number528085621omplex,V_24)),C_73)).
% 115.08/113.89  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,V_24)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_156),C_73))=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_24)),B_156)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,V_24)),C_73)).
% 115.08/113.89  0 [] hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,V_24)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B_156),C_73))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,V_24)),B_156)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,V_24)),C_73)).
% 115.08/113.89  0 [] hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,V_24)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_156),C_73))=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_24)),B_156)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,V_24)),C_73)).
% 115.08/113.89  0 [] hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_i769753017umeral(number1443263063umeral,V_24)),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,B_156),C_73))=hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_i769753017umeral(number1443263063umeral,V_24)),B_156)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_i769753017umeral(number1443263063umeral,V_24)),C_73)).
% 115.08/113.89  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_201),B_155)),hAPP_int_rat(number_number_of_rat,V_23))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_201),hAPP_int_rat(number_number_of_rat,V_23))),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_155),hAPP_int_rat(number_number_of_rat,V_23))).
% 115.08/113.89  0 [] hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_201),B_155)),hAPP_i1732201573de_int(number1226105091de_int,V_23))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_201),hAPP_i1732201573de_int(number1226105091de_int,V_23))),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_155),hAPP_i1732201573de_int(number1226105091de_int,V_23))).
% 115.08/113.89  0 [] hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_201),B_155)),hAPP_int_complex(number528085621omplex,V_23))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_201),hAPP_int_complex(number528085621omplex,V_23))),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,B_155),hAPP_int_complex(number528085621omplex,V_23))).
% 115.08/113.89  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_201),B_155)),hAPP_int_nat(number_number_of_nat,V_23))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_201),hAPP_int_nat(number_number_of_nat,V_23))),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_155),hAPP_int_nat(number_number_of_nat,V_23))).
% 115.08/113.89  0 [] hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_201),B_155)),hAPP_int_real(number267125858f_real,V_23))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_201),hAPP_int_real(number267125858f_real,V_23))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_155),hAPP_int_real(number267125858f_real,V_23))).
% 115.08/113.89  0 [] hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_201),B_155)),hAPP_int_int(number_number_of_int,V_23))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_201),hAPP_int_int(number_number_of_int,V_23))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_155),hAPP_int_int(number_number_of_int,V_23))).
% 115.08/113.89  0 [] hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_201),B_155)),hAPP_i769753017umeral(number1443263063umeral,V_23))=hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_201),hAPP_i769753017umeral(number1443263063umeral,V_23))),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_155),hAPP_i769753017umeral(number1443263063umeral,V_23))).
% 115.08/113.89  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_int_rat(number_number_of_rat,V_22)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,B_154),C_72))=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_22)),B_154)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_int_rat(number_number_of_rat,V_22)),C_72)).
% 115.08/113.89  0 [] hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_int_complex(number528085621omplex,V_22)),hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,B_154),C_72))=hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_int_complex(number528085621omplex,V_22)),B_154)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_int_complex(number528085621omplex,V_22)),C_72)).
% 115.08/113.89  0 [] hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,V_22)),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,B_154),C_72))=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,V_22)),B_154)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,V_22)),C_72)).
% 115.08/113.89  0 [] hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,V_22)),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,B_154),C_72))=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_22)),B_154)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,V_22)),C_72)).
% 115.08/113.89  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,A_200),B_153)),hAPP_int_rat(number_number_of_rat,V_21))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_200),hAPP_int_rat(number_number_of_rat,V_21))),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_153),hAPP_int_rat(number_number_of_rat,V_21))).
% 115.08/113.89  0 [] hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,A_200),B_153)),hAPP_int_complex(number528085621omplex,V_21))=hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_200),hAPP_int_complex(number528085621omplex,V_21))),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,B_153),hAPP_int_complex(number528085621omplex,V_21))).
% 115.08/113.89  0 [] hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,A_200),B_153)),hAPP_int_real(number267125858f_real,V_21))=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_200),hAPP_int_real(number267125858f_real,V_21))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_153),hAPP_int_real(number267125858f_real,V_21))).
% 115.08/113.89  0 [] hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_200),B_153)),hAPP_int_int(number_number_of_int,V_21))=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_200),hAPP_int_int(number_number_of_int,V_21))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_153),hAPP_int_int(number_number_of_int,V_21))).
% 115.08/113.89  0 [] hAPP_int_rat(number_number_of_rat,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,V_20),W_15))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_int_rat(number_number_of_rat,V_20)),hAPP_int_rat(number_number_of_rat,W_15)).
% 115.08/113.89  0 [] hAPP_int_complex(number528085621omplex,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,V_20),W_15))=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_int_complex(number528085621omplex,V_20)),hAPP_int_complex(number528085621omplex,W_15)).
% 115.08/113.89  0 [] hAPP_int_real(number267125858f_real,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,V_20),W_15))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,V_20)),hAPP_int_real(number267125858f_real,W_15)).
% 115.08/113.89  0 [] hAPP_int_int(number_number_of_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,V_20),W_15))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,V_20)),hAPP_int_int(number_number_of_int,W_15)).
% 115.08/113.89  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_int_rat(number_number_of_rat,V_19)),hAPP_int_rat(number_number_of_rat,W_14))=hAPP_int_rat(number_number_of_rat,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,V_19),W_14)).
% 115.08/113.89  0 [] hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_int_complex(number528085621omplex,V_19)),hAPP_int_complex(number528085621omplex,W_14))=hAPP_int_complex(number528085621omplex,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,V_19),W_14)).
% 115.08/113.89  0 [] hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,V_19)),hAPP_int_real(number267125858f_real,W_14))=hAPP_int_real(number267125858f_real,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,V_19),W_14)).
% 115.08/113.89  0 [] hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,V_19)),hAPP_int_int(number_number_of_int,W_14))=hAPP_int_int(number_number_of_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,V_19),W_14)).
% 115.08/113.89  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_int_rat(number_number_of_rat,V_18)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_int_rat(number_number_of_rat,W_13)),Z_21))=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_18),W_13))),Z_21).
% 115.08/113.89  0 [] hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_int_complex(number528085621omplex,V_18)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_int_complex(number528085621omplex,W_13)),Z_21))=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_int_complex(number528085621omplex,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,V_18),W_13))),Z_21).
% 115.08/113.89  0 [] hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,V_18)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,W_13)),Z_21))=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_18),W_13))),Z_21).
% 115.08/113.89  0 [] hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,V_18)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,W_13)),Z_21))=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_18),W_13))),Z_21).
% 115.08/113.89  0 [] hAPP_int_rat(number_number_of_rat,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_17),W_12))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_int_rat(number_number_of_rat,V_17)),hAPP_int_rat(number_number_of_rat,W_12)).
% 115.08/113.89  0 [] hAPP_int_complex(number528085621omplex,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_17),W_12))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_int_complex(number528085621omplex,V_17)),hAPP_int_complex(number528085621omplex,W_12)).
% 115.08/113.89  0 [] hAPP_int_real(number267125858f_real,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_17),W_12))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_int_real(number267125858f_real,V_17)),hAPP_int_real(number267125858f_real,W_12)).
% 115.08/113.89  0 [] hAPP_int_int(number_number_of_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_17),W_12))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(number_number_of_int,V_17)),hAPP_int_int(number_number_of_int,W_12)).
% 115.08/113.89  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_int_rat(number_number_of_rat,V_16)),hAPP_int_rat(number_number_of_rat,W_11))=hAPP_int_rat(number_number_of_rat,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_16),W_11)).
% 115.08/113.89  0 [] hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_int_complex(number528085621omplex,V_16)),hAPP_int_complex(number528085621omplex,W_11))=hAPP_int_complex(number528085621omplex,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_16),W_11)).
% 115.08/113.89  0 [] hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_int_real(number267125858f_real,V_16)),hAPP_int_real(number267125858f_real,W_11))=hAPP_int_real(number267125858f_real,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_16),W_11)).
% 115.08/113.89  0 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(number_number_of_int,V_16)),hAPP_int_int(number_number_of_int,W_11))=hAPP_int_int(number_number_of_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_16),W_11)).
% 115.08/113.89  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_int_rat(number_number_of_rat,V_15)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_int_rat(number_number_of_rat,W_10)),Z_20))=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_15),W_10))),Z_20).
% 115.08/113.89  0 [] hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_int_complex(number528085621omplex,V_15)),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_int_complex(number528085621omplex,W_10)),Z_20))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_int_complex(number528085621omplex,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_15),W_10))),Z_20).
% 115.08/113.89  0 [] hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_int_real(number267125858f_real,V_15)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_int_real(number267125858f_real,W_10)),Z_20))=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_15),W_10))),Z_20).
% 115.08/113.89  0 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(number_number_of_int,V_15)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(number_number_of_int,W_10)),Z_20))=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_15),W_10))),Z_20).
% 115.08/113.89  0 [] hAPP_int_rat(number_number_of_rat,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,V_14),W_9))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,hAPP_int_rat(number_number_of_rat,V_14)),hAPP_int_rat(number_number_of_rat,W_9)).
% 115.08/113.89  0 [] hAPP_int_complex(number528085621omplex,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,V_14),W_9))=hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,hAPP_int_complex(number528085621omplex,V_14)),hAPP_int_complex(number528085621omplex,W_9)).
% 115.08/113.89  0 [] hAPP_int_real(number267125858f_real,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,V_14),W_9))=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_int_real(number267125858f_real,V_14)),hAPP_int_real(number267125858f_real,W_9)).
% 115.08/113.89  0 [] hAPP_int_int(number_number_of_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,V_14),W_9))=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(number_number_of_int,V_14)),hAPP_int_int(number_number_of_int,W_9)).
% 115.08/113.89  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,M_9),M_9)=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_9).
% 115.08/113.89  0 [] hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,M_9),M_9)=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_9).
% 115.08/113.89  0 [] hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,M_9),M_9)=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,one_one_complex),one_one_complex)),M_9).
% 115.08/113.89  0 [] hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,M_9),M_9)=hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,one_on1645066479umeral),one_on1645066479umeral)),M_9).
% 115.08/113.90  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_9),M_9)=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_9).
% 115.08/113.90  0 [] hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,M_9),M_9)=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_9).
% 115.08/113.90  0 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,M_9),M_9)=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_9).
% 115.08/113.90  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,M_8),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_199),M_8))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_199),one_one_rat)),M_8).
% 115.08/113.90  0 [] hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,M_8),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_199),M_8))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_199),one_on1684967323de_int)),M_8).
% 115.08/113.90  0 [] hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,M_8),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_199),M_8))=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_199),one_one_complex)),M_8).
% 115.08/113.90  0 [] hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,M_8),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_199),M_8))=hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_199),one_on1645066479umeral)),M_8).
% 115.08/113.90  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_8),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_199),M_8))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_199),one_one_nat)),M_8).
% 115.08/113.90  0 [] hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,M_8),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_199),M_8))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_199),one_one_real)),M_8).
% 115.08/113.90  0 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,M_8),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_199),M_8))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_199),one_one_int)),M_8).
% 115.08/113.90  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_198),M_7)),M_7)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_198),one_one_rat)),M_7).
% 115.08/113.90  0 [] hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_198),M_7)),M_7)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_198),one_on1684967323de_int)),M_7).
% 115.08/113.90  0 [] hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_198),M_7)),M_7)=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_198),one_one_complex)),M_7).
% 115.08/113.90  0 [] hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_198),M_7)),M_7)=hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_198),one_on1645066479umeral)),M_7).
% 115.08/113.90  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_198),M_7)),M_7)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_198),one_one_nat)),M_7).
% 115.08/113.90  0 [] hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_198),M_7)),M_7)=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_198),one_one_real)),M_7).
% 115.08/113.90  0 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_198),M_7)),M_7)=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_198),one_one_int)),M_7).
% 115.08/113.90  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(produc1775888740l_bool(F),Aa),Ba))|hBOOL(hAPP_P880235623l_bool(F,hAPP_f538843494t_bool(hAPP_f1418982953t_bool(produc713279741t_bool,Aa),Ba))).
% 115.08/113.90  0 [] -hBOOL(hAPP_P603027463t_bool(hAPP_P989584703t_bool(produc353512698t_bool(F),Aa),Ba))|hBOOL(hAPP_P62333565t_bool(F,hAPP_P230595783nt_int(hAPP_P941956607nt_int(produc883642259nt_int,Aa),Ba))).
% 115.08/113.90  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(produc2013771390t_bool(F),Aa),Ba))|hBOOL(hAPP_P1709355527t_bool(F,hAPP_Q1256397320de_int(hAPP_Q952608535de_int(produc1318306967de_int,Aa),Ba))).
% 115.08/113.90  0 [] -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(produc609372286l_bool(F),Aa),Ba))|hBOOL(hAPP_P1164677895l_bool(F,hAPP_C2132160860umeral(hAPP_C1614127039umeral(produc2136830103umeral,Aa),Ba))).
% 115.08/113.90  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(produc748992778l_bool(F),Aa),Ba))|hBOOL(hAPP_P1333854989l_bool(F,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,Aa),Ba))).
% 115.08/113.90  0 [] -hBOOL(hAPP_P1555980039t_bool(hAPP_P705731903t_bool(produc1319041786t_bool(F),Aa),Ba))|hBOOL(hAPP_P1463840893t_bool(F,hAPP_P369611207at_nat(hAPP_P402336767at_nat(produc494345619at_nat,Aa),Ba))).
% 115.08/113.90  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(produc2091540094t_bool(F),Aa),Ba))|hBOOL(hAPP_P1555980039t_bool(F,hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,Aa),Ba))).
% 115.08/113.90  0 [] -hBOOL(hAPP_P603027463t_bool(hAPP_i119638232t_bool(produc97574839t_bool(F),Aa),Ba))|hBOOL(hAPP_P178748804t_bool(F,hAPP_P408881810nt_int(hAPP_i1730167831nt_int(produc282740534nt_int,Aa),Ba))).
% 115.08/113.90  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(produc262399358t_bool(F),Aa),Ba))|hBOOL(hAPP_P603027463t_bool(F,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Aa),Ba))).
% 115.08/113.90  0 [] hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_68),X_68)).
% 115.08/113.90  0 [] hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,X_1),X_1)).
% 115.08/113.90  0 [] hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_1),X_1)).
% 115.08/113.90  0 [] hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,X_68),X_68)).
% 115.08/113.90  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_68),X_68)).
% 115.08/113.90  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_68),X_68)).
% 115.08/113.90  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_68),X_68)).
% 115.08/113.90  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Y_54),X_67))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Z_19),Y_54))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Z_19),X_67)).
% 115.08/113.90  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Y_2),X_1))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Z_2),Y_2))|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Z_2),X_1)).
% 115.08/113.90  0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Y_2),X_1))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Z_2),Y_2))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Z_2),X_1)).
% 115.08/113.90  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,Y_54),X_67))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Z_19),Y_54))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Z_19),X_67)).
% 115.08/113.90  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_54),X_67))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Z_19),Y_54))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Z_19),X_67)).
% 115.08/113.90  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_54),X_67))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Z_19),Y_54))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Z_19),X_67)).
% 115.08/113.90  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_54),X_67))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_19),Y_54))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_19),X_67)).
% 115.08/113.90  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_66),Y_53))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Y_53),Z_18))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_66),Z_18)).
% 115.08/113.90  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,X_1),Y_2))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Y_2),Z_2))|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,X_1),Z_2)).
% 115.08/113.90  0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_1),Y_2))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Y_2),Z_2))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X_1),Z_2)).
% 115.08/113.90  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,X_66),Y_53))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Y_53),Z_18))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_66),Z_18)).
% 115.08/113.90  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_66),Y_53))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_53),Z_18))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_66),Z_18)).
% 115.08/113.90  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_66),Y_53))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_53),Z_18))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_66),Z_18)).
% 115.08/113.90  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_66),Y_53))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_53),Z_18))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_66),Z_18)).
% 115.08/113.90  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Y_52),X_65))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Z_17),Y_52))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Z_17),X_65)).
% 115.08/113.90  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Y_2),X_1))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Z_2),Y_2))|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Z_2),X_1)).
% 115.08/113.90  0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Y_2),X_1))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Z_2),Y_2))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Z_2),X_1)).
% 115.08/113.90  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Y_52),X_65))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,Z_17),Y_52))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Z_17),X_65)).
% 115.08/113.90  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_52),X_65))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Z_17),Y_52))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Z_17),X_65)).
% 115.08/113.90  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_52),X_65))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Z_17),Y_52))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Z_17),X_65)).
% 115.08/113.90  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_52),X_65))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z_17),Y_52))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_17),X_65)).
% 115.08/113.90  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_64),Y_51))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Y_51),Z_16))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_64),Z_16)).
% 115.08/113.90  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,X_1),Y_2))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Y_2),Z_2))|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,X_1),Z_2)).
% 115.08/113.90  0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X_1),Y_2))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Y_2),Z_2))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X_1),Z_2)).
% 115.08/113.90  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_64),Y_51))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,Y_51),Z_16))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_64),Z_16)).
% 115.08/113.90  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_64),Y_51))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_51),Z_16))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_64),Z_16)).
% 115.08/113.90  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_64),Y_51))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_51),Z_16))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_64),Z_16)).
% 115.08/113.90  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_64),Y_51))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_51),Z_16))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_64),Z_16)).
% 115.08/113.90  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,B_152),A_197))|A_197=B_152|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,B_152),A_197)).
% 115.08/113.90  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Ba),Aa))|Aa=Ba|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Ba),Aa)).
% 115.08/113.90  0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Ba),Aa))|Aa=Ba|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Ba),Aa)).
% 115.08/113.90  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,B_152),A_197))|A_197=B_152|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,B_152),A_197)).
% 115.08/113.90  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_152),A_197))|A_197=B_152|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_152),A_197)).
% 115.08/113.90  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_152),A_197))|A_197=B_152|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_152),A_197)).
% 115.08/113.90  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_152),A_197))|A_197=B_152|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_152),A_197)).
% 115.08/113.90  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_196),B_151))|A_196=B_151|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_196),B_151)).
% 115.08/113.90  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Aa),Ba))|Aa=Ba|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Aa),Ba)).
% 115.08/113.90  0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Aa),Ba))|Aa=Ba|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Aa),Ba)).
% 115.08/113.90  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_196),B_151))|A_196=B_151|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_196),B_151)).
% 115.08/113.90  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_196),B_151))|A_196=B_151|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_196),B_151)).
% 115.08/113.90  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_196),B_151))|A_196=B_151|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_196),B_151)).
% 115.08/113.90  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_196),B_151))|A_196=B_151|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_196),B_151)).
% 115.08/113.90  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_63),Y_50))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_63),Y_50))|X_63=Y_50.
% 115.08/113.90  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,X_1),Y_2))|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,X_1),Y_2))|X_1=Y_2.
% 115.08/113.90  0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_1),Y_2))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X_1),Y_2))|X_1=Y_2.
% 115.08/113.90  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,X_63),Y_50))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_63),Y_50))|X_63=Y_50.
% 115.08/113.90  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_63),Y_50))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_63),Y_50))|X_63=Y_50.
% 115.08/113.90  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_63),Y_50))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_63),Y_50))|X_63=Y_50.
% 115.08/113.90  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_63),Y_50))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_63),Y_50))|X_63=Y_50.
% 115.08/113.90  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_1),Y_2))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_1),Y_2))|X_1=Y_2.
% 115.08/113.90  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_1),Y_2))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_1),Y_2))|X_1!=Y_2.
% 115.08/113.90  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,X_1),Y_2))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_1),Y_2))|X_1=Y_2.
% 115.08/113.90  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,X_1),Y_2))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_1),Y_2))|X_1!=Y_2.
% 115.08/113.90  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_2))|X_1=Y_2.
% 115.08/113.90  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_2))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_2))|X_1!=Y_2.
% 115.08/113.90  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_2))|X_1=Y_2.
% 115.08/113.90  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_2))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_2))|X_1!=Y_2.
% 115.08/113.90  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_2))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_2))|X_1=Y_2.
% 115.08/113.90  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_2))|X_1!=Y_2.
% 115.08/113.90  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_62),Y_49))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_62),Y_49)).
% 115.08/113.90  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,X_1),Y_2))|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,X_1),Y_2)).
% 115.08/113.90  0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X_1),Y_2))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_1),Y_2)).
% 115.08/113.90  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_62),Y_49))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,X_62),Y_49)).
% 115.08/113.90  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_62),Y_49))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_62),Y_49)).
% 115.08/113.90  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_62),Y_49))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_62),Y_49)).
% 115.08/113.90  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_62),Y_49))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_62),Y_49)).
% 115.08/113.90  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Y_48),X_61))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_61),Y_48)).
% 115.08/113.90  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,Y_48),X_61))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_61),Y_48)).
% 115.08/113.90  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_48),X_61))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_61),Y_48)).
% 115.08/113.90  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_48),X_61))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_61),Y_48)).
% 115.08/113.90  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_48),X_61))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_61),Y_48)).
% 115.08/113.90  0 [] A_195=B_150| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,B_150),A_195))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,B_150),A_195)).
% 115.08/113.90  0 [] Aa=Ba| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Ba),Aa))|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Ba),Aa)).
% 115.08/113.90  0 [] Aa=Ba| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Ba),Aa))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Ba),Aa)).
% 115.08/113.90  0 [] A_195=B_150| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,B_150),A_195))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,B_150),A_195)).
% 115.08/113.90  0 [] A_195=B_150| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_150),A_195))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_150),A_195)).
% 115.08/113.90  0 [] A_195=B_150| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_150),A_195))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_150),A_195)).
% 115.08/113.90  0 [] A_195=B_150| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_150),A_195))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_150),A_195)).
% 115.08/113.90  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,W),W)).
% 115.08/113.90  0 [] hAPP_int_int(number_number_of_int,K_2)=K_2.
% 115.08/113.90  0 [] 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)).
% 115.08/113.90  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_2),W_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z_2),W_1)).
% 115.08/113.90  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_2),W_1))|Z_2!=W_1.
% 115.08/113.90  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_2),W_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z_2),W_1))|Z_2=W_1.
% 115.08/113.90  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X),Y))|X=Y|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y),X)).
% 115.08/113.90  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,K_1)),hAPP_int_int(number_number_of_int,L)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),L)).
% 115.08/113.90  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,K_1)),hAPP_int_int(number_number_of_int,L)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),L)).
% 115.08/113.90  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(number_number_of_int,K_1)),hAPP_int_int(number_number_of_int,L)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),L)).
% 115.08/113.90  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(number_number_of_int,K_1)),hAPP_int_int(number_number_of_int,L)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),L)).
% 115.08/113.90  0 [] -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)).
% 115.08/113.90  0 [] -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.
% 115.08/113.90  0 [] -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,X_2)),hAPP_int_bool(G,X_2))).
% 115.08/113.90  0 [] 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,$f111(F,G))),hAPP_int_bool(G,$f111(F,G)))).
% 115.08/113.91  0 [] -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,X_2)),hAPP_nat_bool(G,X_2))).
% 115.08/113.91  0 [] 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,$f112(F,G))),hAPP_nat_bool(G,$f112(F,G)))).
% 115.08/113.91  0 [] hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_60),Y_47))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Y_47),X_60)).
% 115.08/113.91  0 [] hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,X_60),Y_47))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,Y_47),X_60)).
% 115.08/113.91  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_60),Y_47))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_47),X_60)).
% 115.08/113.91  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_60),Y_47))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_47),X_60)).
% 115.08/113.91  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_60),Y_47))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_47),X_60)).
% 115.08/113.91  0 [] X_1!=Y_2|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_1),Y_2)).
% 115.08/113.91  0 [] X_1!=Y_2|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Y_2),X_1)).
% 115.08/113.91  0 [] X_1=Y_2| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_1),Y_2))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Y_2),X_1)).
% 115.08/113.91  0 [] X_1!=Y_2|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,X_1),Y_2)).
% 115.08/113.91  0 [] X_1!=Y_2|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Y_2),X_1)).
% 115.08/113.91  0 [] X_1=Y_2| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,X_1),Y_2))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Y_2),X_1)).
% 115.08/113.91  0 [] X_1!=Y_2|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_1),Y_2)).
% 115.08/113.91  0 [] X_1!=Y_2|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Y_2),X_1)).
% 115.08/113.91  0 [] X_1=Y_2| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_1),Y_2))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Y_2),X_1)).
% 115.08/113.91  0 [] X_1!=Y_2|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,X_1),Y_2)).
% 115.08/113.91  0 [] X_1!=Y_2|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,Y_2),X_1)).
% 115.08/113.91  0 [] X_1=Y_2| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,X_1),Y_2))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,Y_2),X_1)).
% 115.08/113.91  0 [] X_1!=Y_2|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_2)).
% 115.08/113.91  0 [] X_1!=Y_2|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_2),X_1)).
% 115.08/113.91  0 [] X_1=Y_2| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_2))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_2),X_1)).
% 115.08/113.91  0 [] X_1!=Y_2|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_2)).
% 115.08/113.91  0 [] X_1!=Y_2|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_2),X_1)).
% 115.08/113.91  0 [] X_1=Y_2| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_2))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_2),X_1)).
% 115.08/113.91  0 [] X_1!=Y_2|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_2)).
% 115.08/113.91  0 [] X_1!=Y_2|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_2),X_1)).
% 115.08/113.91  0 [] X_1=Y_2| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_2),X_1)).
% 115.08/113.91  0 [] X_59!=Y_46|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_59),Y_46)).
% 115.08/113.91  0 [] X_1!=Y_2|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,X_1),Y_2)).
% 115.08/113.91  0 [] X_1!=Y_2|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_1),Y_2)).
% 115.08/113.91  0 [] X_59!=Y_46|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,X_59),Y_46)).
% 115.08/113.91  0 [] X_59!=Y_46|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_59),Y_46)).
% 115.08/113.91  0 [] X_59!=Y_46|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_59),Y_46)).
% 115.08/113.91  0 [] X_59!=Y_46|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_59),Y_46)).
% 115.08/113.91  0 [] -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,X_1)),hAPP_int_bool(G,X_1))).
% 115.08/113.91  0 [] -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,X_1)),hAPP_nat_bool(G,X_1))).
% 115.08/113.91  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Y_2),X_1))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_1),Y_2))|X_1=Y_2.
% 115.08/113.91  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Y_2),X_1))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_1),Y_2))|X_1!=Y_2.
% 115.08/113.91  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Y_2),X_1))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,X_1),Y_2))|X_1=Y_2.
% 115.08/113.91  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Y_2),X_1))|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,X_1),Y_2))|X_1!=Y_2.
% 115.08/113.91  0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Y_2),X_1))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_1),Y_2))|X_1=Y_2.
% 115.08/113.91  0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Y_2),X_1))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_1),Y_2))|X_1!=Y_2.
% 115.08/113.91  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,Y_2),X_1))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,X_1),Y_2))|X_1=Y_2.
% 115.08/113.91  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,Y_2),X_1))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,X_1),Y_2))|X_1!=Y_2.
% 115.08/113.91  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_2),X_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_2))|X_1=Y_2.
% 115.08/113.91  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_2),X_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_2))|X_1!=Y_2.
% 115.08/113.91  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_2),X_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_2))|X_1=Y_2.
% 115.08/113.91  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_2),X_1))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_2))|X_1!=Y_2.
% 115.08/113.91  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_2),X_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_2))|X_1=Y_2.
% 115.08/113.91  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_2),X_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_2))|X_1!=Y_2.
% 115.08/113.91  0 [] A_194!=B_149| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,B_149),C_71))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_194),C_71)).
% 115.08/113.91  0 [] Aa!=Ba| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Ba),C))|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Aa),C)).
% 115.08/113.91  0 [] Aa!=Ba| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Ba),C))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Aa),C)).
% 115.08/113.91  0 [] A_194!=B_149| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,B_149),C_71))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_194),C_71)).
% 115.08/113.91  0 [] A_194!=B_149| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_149),C_71))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_194),C_71)).
% 115.08/113.91  0 [] A_194!=B_149| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_149),C_71))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_194),C_71)).
% 115.08/113.91  0 [] A_194!=B_149| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_149),C_71))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_194),C_71)).
% 115.08/113.91  0 [] A_193!=B_148| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,C_70),B_148))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,C_70),A_193)).
% 115.08/113.91  0 [] Aa!=Ba| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,C),Ba))|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,C),Aa)).
% 115.08/113.91  0 [] Aa!=Ba| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,C),Ba))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,C),Aa)).
% 115.08/113.91  0 [] A_193!=B_148| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,C_70),B_148))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,C_70),A_193)).
% 115.08/113.91  0 [] A_193!=B_148| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_70),B_148))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_70),A_193)).
% 115.08/113.91  0 [] A_193!=B_148| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_70),B_148))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_70),A_193)).
% 115.08/113.91  0 [] A_193!=B_148| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_70),B_148))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_70),A_193)).
% 115.08/113.91  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_192),B_147))|B_147!=C_69|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_192),C_69)).
% 115.08/113.91  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Aa),Ba))|Ba!=C|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Aa),C)).
% 115.08/113.91  0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Aa),Ba))|Ba!=C|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Aa),C)).
% 115.08/113.91  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_192),B_147))|B_147!=C_69|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_192),C_69)).
% 115.08/113.91  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_192),B_147))|B_147!=C_69|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_192),C_69)).
% 115.08/113.91  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_192),B_147))|B_147!=C_69|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_192),C_69)).
% 115.08/113.91  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_192),B_147))|B_147!=C_69|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_192),C_69)).
% 115.08/113.91  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,B_146),A_191))|B_146!=C_68|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,C_68),A_191)).
% 115.08/113.91  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Ba),Aa))|Ba!=C|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,C),Aa)).
% 115.08/113.91  0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Ba),Aa))|Ba!=C|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,C),Aa)).
% 115.08/113.91  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,B_146),A_191))|B_146!=C_68|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,C_68),A_191)).
% 115.08/113.91  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_146),A_191))|B_146!=C_68|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_68),A_191)).
% 115.08/113.91  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_146),A_191))|B_146!=C_68|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_68),A_191)).
% 115.08/113.91  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_146),A_191))|B_146!=C_68|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_68),A_191)).
% 115.08/113.91  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_58),Y_45))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Y_45),X_58))|X_58=Y_45.
% 115.08/113.91  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,X_1),Y_2))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Y_2),X_1))|X_1=Y_2.
% 115.08/113.91  0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_1),Y_2))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Y_2),X_1))|X_1=Y_2.
% 115.08/113.91  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,X_58),Y_45))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,Y_45),X_58))|X_58=Y_45.
% 115.08/113.91  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_58),Y_45))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_45),X_58))|X_58=Y_45.
% 115.08/113.91  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_58),Y_45))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_45),X_58))|X_58=Y_45.
% 115.08/113.91  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_58),Y_45))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_45),X_58))|X_58=Y_45.
% 115.08/113.91  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_57),Y_44))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Y_44),Z_15))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_57),Z_15)).
% 115.08/113.91  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,X_1),Y_2))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Y_2),Z_2))|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,X_1),Z_2)).
% 115.08/113.91  0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_1),Y_2))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Y_2),Z_2))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_1),Z_2)).
% 115.08/113.91  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,X_57),Y_44))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,Y_44),Z_15))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,X_57),Z_15)).
% 115.08/113.91  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_57),Y_44))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_44),Z_15))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_57),Z_15)).
% 115.08/113.91  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_57),Y_44))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_44),Z_15))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_57),Z_15)).
% 115.08/113.91  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_57),Y_44))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_44),Z_15))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_57),Z_15)).
% 115.08/113.91  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Y_43),X_56))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_56),Y_43))|X_56=Y_43.
% 115.08/113.91  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Y_2),X_1))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,X_1),Y_2))|X_1=Y_2.
% 115.08/113.91  0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Y_2),X_1))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_1),Y_2))|X_1=Y_2.
% 115.08/113.91  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,Y_43),X_56))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,X_56),Y_43))|X_56=Y_43.
% 115.08/113.91  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_43),X_56))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_56),Y_43))|X_56=Y_43.
% 115.08/113.91  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_43),X_56))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_56),Y_43))|X_56=Y_43.
% 115.08/113.91  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_43),X_56))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_56),Y_43))|X_56=Y_43.
% 115.08/113.91  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Y_42),X_55))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Z_14),Y_42))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Z_14),X_55)).
% 115.08/113.91  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Y_2),X_1))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Z_2),Y_2))|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Z_2),X_1)).
% 115.08/113.91  0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Y_2),X_1))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Z_2),Y_2))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Z_2),X_1)).
% 115.08/113.91  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,Y_42),X_55))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,Z_14),Y_42))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,Z_14),X_55)).
% 115.08/113.91  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_42),X_55))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Z_14),Y_42))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Z_14),X_55)).
% 115.08/113.91  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_42),X_55))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Z_14),Y_42))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Z_14),X_55)).
% 115.08/113.91  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_42),X_55))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z_14),Y_42))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z_14),X_55)).
% 115.08/113.91  0 [] -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,X_1)),hAPP_int_bool(G,X_1))).
% 115.08/113.91  0 [] -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,X_1)),hAPP_nat_bool(G,X_1))).
% 115.08/113.91  0 [] hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_54),Y_41))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Y_41),X_54)).
% 115.08/113.91  0 [] hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,X_54),Y_41))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,Y_41),X_54)).
% 115.08/113.91  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_54),Y_41))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_41),X_54)).
% 115.08/113.91  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_54),Y_41))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_41),X_54)).
% 115.08/113.91  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_54),Y_41))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_41),X_54)).
% 115.08/113.91  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_53),X_53)).
% 115.08/113.91  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,X_1),X_1)).
% 115.08/113.91  0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X_1),X_1)).
% 115.08/113.91  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_53),X_53)).
% 115.08/113.91  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_53),X_53)).
% 115.08/113.91  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_53),X_53)).
% 115.08/113.91  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_53),X_53)).
% 115.08/113.91  0 [] X_1=Y_2|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_1),Y_2))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Y_2),X_1)).
% 115.08/113.91  0 [] X_1!=Y_2| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_1),Y_2)).
% 115.08/113.91  0 [] X_1!=Y_2| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Y_2),X_1)).
% 115.08/113.91  0 [] X_1=Y_2|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_1),Y_2))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Y_2),X_1)).
% 115.08/113.91  0 [] X_1!=Y_2| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_1),Y_2)).
% 115.08/113.91  0 [] X_1!=Y_2| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Y_2),X_1)).
% 115.08/113.91  0 [] X_1=Y_2|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_2),X_1)).
% 115.08/113.91  0 [] X_1!=Y_2| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_2)).
% 115.08/113.91  0 [] X_1!=Y_2| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_2),X_1)).
% 115.08/113.91  0 [] X_1=Y_2|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_2),X_1)).
% 115.08/113.91  0 [] X_1!=Y_2| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_2)).
% 115.08/113.91  0 [] X_1!=Y_2| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_2),X_1)).
% 115.08/113.91  0 [] X_1=Y_2|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_2))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_2),X_1)).
% 115.08/113.91  0 [] X_1!=Y_2| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_2)).
% 115.08/113.91  0 [] X_1!=Y_2| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_2),X_1)).
% 115.08/113.91  0 [] hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_1),Y_2))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Y_2),X_1))|X_1=Y_2.
% 115.08/113.91  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_1),Y_2))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Y_2),X_1)).
% 115.08/113.91  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_1),Y_2))|X_1!=Y_2.
% 115.08/113.91  0 [] hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_1),Y_2))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Y_2),X_1))|X_1=Y_2.
% 115.08/113.91  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_1),Y_2))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Y_2),X_1)).
% 115.08/113.91  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_1),Y_2))|X_1!=Y_2.
% 115.08/113.91  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_2),X_1))|X_1=Y_2.
% 115.08/113.91  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_2))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_2),X_1)).
% 115.08/113.91  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_2))|X_1!=Y_2.
% 115.08/113.91  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_2),X_1))|X_1=Y_2.
% 115.08/113.91  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_2))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_2),X_1)).
% 115.08/113.91  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_2))|X_1!=Y_2.
% 115.08/113.91  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_2))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_2),X_1))|X_1=Y_2.
% 115.08/113.91  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_2),X_1)).
% 115.08/113.91  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_2))|X_1!=Y_2.
% 115.08/113.91  0 [] hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_52),Y_40))|X_52=Y_40|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Y_40),X_52)).
% 115.08/113.91  0 [] hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_52),Y_40))|X_52=Y_40|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Y_40),X_52)).
% 115.08/113.91  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_52),Y_40))|X_52=Y_40|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_40),X_52)).
% 115.08/113.91  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_52),Y_40))|X_52=Y_40|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_40),X_52)).
% 115.08/113.91  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_52),Y_40))|X_52=Y_40|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_40),X_52)).
% 115.08/113.91  0 [] hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Y_2),X_1))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_1),Y_2))|X_1=Y_2.
% 115.08/113.91  0 [] hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Y_2),X_1))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_1),Y_2))|X_1!=Y_2.
% 115.08/113.91  0 [] hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Y_2),X_1))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_1),Y_2))|X_1=Y_2.
% 115.08/113.92  0 [] hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Y_2),X_1))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_1),Y_2))|X_1!=Y_2.
% 115.08/113.92  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_2),X_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_2))|X_1=Y_2.
% 115.08/113.92  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_2),X_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_2))|X_1!=Y_2.
% 115.08/113.92  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_2),X_1))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_2))|X_1=Y_2.
% 115.08/113.92  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_2),X_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_2))|X_1!=Y_2.
% 115.08/113.92  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_2),X_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_2))|X_1=Y_2.
% 115.08/113.92  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_2),X_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_2))|X_1!=Y_2.
% 115.08/113.92  0 [] X_51=Y_39|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_51),Y_39))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Y_39),X_51)).
% 115.08/113.92  0 [] X_51=Y_39|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_51),Y_39))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Y_39),X_51)).
% 115.08/113.92  0 [] X_51=Y_39|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_51),Y_39))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_39),X_51)).
% 115.08/113.92  0 [] X_51=Y_39|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_51),Y_39))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_39),X_51)).
% 115.08/113.92  0 [] X_51=Y_39|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_51),Y_39))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_39),X_51)).
% 115.08/113.92  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_50),Y_38))|X_50!=Y_38.
% 115.08/113.92  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,X_1),Y_2))|X_1!=Y_2.
% 115.08/113.92  0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X_1),Y_2))|X_1!=Y_2.
% 115.08/113.92  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_50),Y_38))|X_50!=Y_38.
% 115.08/113.92  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_50),Y_38))|X_50!=Y_38.
% 115.08/113.92  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_50),Y_38))|X_50!=Y_38.
% 115.08/113.92  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_50),Y_38))|X_50!=Y_38.
% 115.08/113.92  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_49),Y_37))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Y_37),X_49)).
% 115.08/113.92  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,X_1),Y_2))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Y_2),X_1)).
% 115.08/113.92  0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X_1),Y_2))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Y_2),X_1)).
% 115.08/113.92  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_49),Y_37))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Y_37),X_49)).
% 115.08/113.92  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_49),Y_37))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_37),X_49)).
% 115.08/113.92  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_49),Y_37))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_37),X_49)).
% 115.08/113.92  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_49),Y_37))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_37),X_49)).
% 115.08/113.92  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_48),Y_36))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Y_36),X_48)).
% 115.08/113.92  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,X_1),Y_2))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Y_2),X_1)).
% 115.08/113.92  0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X_1),Y_2))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Y_2),X_1)).
% 115.08/113.92  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_48),Y_36))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Y_36),X_48)).
% 115.08/113.92  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_48),Y_36))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_36),X_48)).
% 115.08/113.92  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_48),Y_36))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_36),X_48)).
% 115.08/113.92  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_48),Y_36))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_36),X_48)).
% 115.08/113.92  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_47),Y_35))|X_47!=Y_35.
% 115.08/113.92  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,X_1),Y_2))|X_1!=Y_2.
% 115.08/113.92  0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X_1),Y_2))|X_1!=Y_2.
% 115.08/113.92  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_47),Y_35))|X_47!=Y_35.
% 115.08/113.92  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_47),Y_35))|X_47!=Y_35.
% 115.08/113.92  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_47),Y_35))|X_47!=Y_35.
% 115.08/113.92  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_47),Y_35))|X_47!=Y_35.
% 115.08/113.92  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_46),Y_34))|Y_34!=X_46.
% 115.08/113.92  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,X_1),Y_2))|Y_2!=X_1.
% 115.08/113.92  0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X_1),Y_2))|Y_2!=X_1.
% 115.08/113.92  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_46),Y_34))|Y_34!=X_46.
% 115.08/113.92  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_46),Y_34))|Y_34!=X_46.
% 115.08/113.92  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_46),Y_34))|Y_34!=X_46.
% 115.08/113.92  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_46),Y_34))|Y_34!=X_46.
% 115.08/113.92  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_1),Y_2))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Y_2),X_1))|hBOOL(P_1).
% 115.08/113.92  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,X_1),Y_2))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Y_2),X_1))|hBOOL(P_1).
% 115.08/113.92  0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X_1),Y_2))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Y_2),X_1))|hBOOL(P_1).
% 115.08/113.92  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_1),Y_2))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Y_2),X_1))|hBOOL(P_1).
% 115.08/113.92  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_2))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_2),X_1))|hBOOL(P_1).
% 115.08/113.92  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_2))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_2),X_1))|hBOOL(P_1).
% 115.08/113.92  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_2),X_1))|hBOOL(P_1).
% 115.08/113.92  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_190),B_145))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,B_145),A_190)).
% 115.08/113.92  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Aa),Ba))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Ba),Aa)).
% 115.08/113.92  0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Aa),Ba))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Ba),Aa)).
% 115.08/113.92  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_190),B_145))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,B_145),A_190)).
% 115.08/113.92  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_190),B_145))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_145),A_190)).
% 115.08/113.92  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_190),B_145))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_145),A_190)).
% 115.08/113.92  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_190),B_145))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_145),A_190)).
% 115.08/113.92  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,B_144),A_189))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_189),B_144)).
% 115.08/113.92  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Ba),Aa))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Aa),Ba)).
% 115.08/113.92  0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Ba),Aa))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Aa),Ba)).
% 115.08/113.92  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,B_144),A_189))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_189),B_144)).
% 115.08/113.92  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_144),A_189))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_189),B_144)).
% 115.08/113.92  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_144),A_189))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_189),B_144)).
% 115.08/113.92  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_144),A_189))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_189),B_144)).
% 115.08/113.92  0 [] A_188!=B_143| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,B_143),C_67))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_188),C_67)).
% 115.08/113.92  0 [] Aa!=Ba| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Ba),C))|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Aa),C)).
% 115.08/113.92  0 [] Aa!=Ba| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Ba),C))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Aa),C)).
% 115.08/113.92  0 [] A_188!=B_143| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,B_143),C_67))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_188),C_67)).
% 115.08/113.92  0 [] A_188!=B_143| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_143),C_67))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_188),C_67)).
% 115.08/113.92  0 [] A_188!=B_143| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_143),C_67))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_188),C_67)).
% 115.08/113.92  0 [] A_188!=B_143| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_143),C_67))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_188),C_67)).
% 115.08/113.92  0 [] A_187!=B_142| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,C_66),B_142))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,C_66),A_187)).
% 115.08/113.92  0 [] Aa!=Ba| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,C),Ba))|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,C),Aa)).
% 115.08/113.92  0 [] Aa!=Ba| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,C),Ba))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,C),Aa)).
% 115.08/113.92  0 [] A_187!=B_142| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,C_66),B_142))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,C_66),A_187)).
% 115.08/113.92  0 [] A_187!=B_142| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_66),B_142))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_66),A_187)).
% 115.08/113.92  0 [] A_187!=B_142| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_66),B_142))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_66),A_187)).
% 115.08/113.92  0 [] A_187!=B_142| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_66),B_142))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_66),A_187)).
% 115.08/113.92  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_186),B_141))|B_141!=C_65|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_186),C_65)).
% 115.08/113.92  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Aa),Ba))|Ba!=C|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Aa),C)).
% 115.08/113.92  0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Aa),Ba))|Ba!=C|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Aa),C)).
% 115.08/113.92  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_186),B_141))|B_141!=C_65|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_186),C_65)).
% 115.08/113.92  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_186),B_141))|B_141!=C_65|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_186),C_65)).
% 115.08/113.92  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_186),B_141))|B_141!=C_65|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_186),C_65)).
% 115.08/113.92  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_186),B_141))|B_141!=C_65|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_186),C_65)).
% 115.08/113.92  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,B_140),A_185))|B_140!=C_64|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,C_64),A_185)).
% 115.08/113.92  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Ba),Aa))|Ba!=C|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,C),Aa)).
% 115.08/113.92  0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Ba),Aa))|Ba!=C|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,C),Aa)).
% 115.08/113.92  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,B_140),A_185))|B_140!=C_64|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,C_64),A_185)).
% 115.08/113.92  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_140),A_185))|B_140!=C_64|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_64),A_185)).
% 115.08/113.92  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_140),A_185))|B_140!=C_64|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_64),A_185)).
% 115.08/113.92  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_140),A_185))|B_140!=C_64|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_64),A_185)).
% 115.08/113.92  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_45),Y_33))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Y_33),Z_13))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_45),Z_13)).
% 115.08/113.92  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,X_1),Y_2))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Y_2),Z_2))|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,X_1),Z_2)).
% 115.08/113.92  0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X_1),Y_2))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Y_2),Z_2))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X_1),Z_2)).
% 115.08/113.92  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_45),Y_33))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Y_33),Z_13))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_45),Z_13)).
% 115.08/113.92  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_45),Y_33))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_33),Z_13))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_45),Z_13)).
% 115.08/113.92  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_45),Y_33))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_33),Z_13))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_45),Z_13)).
% 115.08/113.92  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_45),Y_33))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_33),Z_13))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_45),Z_13)).
% 115.08/113.92  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Y_32),X_44))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Z_12),Y_32))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Z_12),X_44)).
% 115.08/113.92  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Y_2),X_1))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Z_2),Y_2))|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Z_2),X_1)).
% 115.08/113.92  0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Y_2),X_1))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Z_2),Y_2))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Z_2),X_1)).
% 115.08/113.92  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Y_32),X_44))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Z_12),Y_32))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Z_12),X_44)).
% 115.08/113.92  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_32),X_44))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Z_12),Y_32))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Z_12),X_44)).
% 115.08/113.92  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_32),X_44))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Z_12),Y_32))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Z_12),X_44)).
% 115.08/113.92  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_32),X_44))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_12),Y_32))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_12),X_44)).
% 115.08/113.92  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_43),Y_31))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Y_31),X_43)).
% 115.08/113.92  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,X_1),Y_2))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Y_2),X_1)).
% 115.08/113.92  0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X_1),Y_2))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Y_2),X_1)).
% 115.08/113.92  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_43),Y_31))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Y_31),X_43)).
% 115.08/113.92  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_43),Y_31))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_31),X_43)).
% 115.08/113.92  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_43),Y_31))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_31),X_43)).
% 115.08/113.92  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_43),Y_31))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_31),X_43)).
% 115.08/113.92  0 [] hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_42),Y_30))|X_42=Y_30|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Y_30),X_42)).
% 115.08/113.92  0 [] hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_42),Y_30))|X_42=Y_30|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Y_30),X_42)).
% 115.08/113.92  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_42),Y_30))|X_42=Y_30|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_30),X_42)).
% 115.08/113.92  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_42),Y_30))|X_42=Y_30|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_30),X_42)).
% 115.08/113.92  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_42),Y_30))|X_42=Y_30|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_30),X_42)).
% 115.08/113.92  0 [] hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_1),Y_2))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Y_2),X_1)).
% 115.08/113.92  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_1),Y_2))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Y_2),X_1)).
% 115.08/113.92  0 [] hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_1),Y_2))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,Y_2),X_1)).
% 115.08/113.92  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_1),Y_2))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,Y_2),X_1)).
% 115.08/113.92  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_2),X_1)).
% 115.08/113.92  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_2))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_2),X_1)).
% 115.15/113.92  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_2),X_1)).
% 115.15/113.92  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_2))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_2),X_1)).
% 115.15/113.92  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_2))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_2),X_1)).
% 115.15/113.92  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_2),X_1)).
% 115.15/113.92  0 [] hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_1),Y_2))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Y_2),X_1)).
% 115.15/113.92  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_1),Y_2))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Y_2),X_1)).
% 115.15/113.92  0 [] hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,X_1),Y_2))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Y_2),X_1)).
% 115.15/113.92  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,X_1),Y_2))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Y_2),X_1)).
% 115.15/113.92  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_2),X_1)).
% 115.15/113.92  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_2))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_2),X_1)).
% 115.15/113.92  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_2),X_1)).
% 115.15/113.92  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_2))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_2),X_1)).
% 115.15/113.92  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_2))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_2),X_1)).
% 115.15/113.92  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_2),X_1)).
% 115.15/113.92  0 [] hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_41),Y_29))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Y_29),X_41)).
% 115.15/113.92  0 [] hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,X_41),Y_29))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Y_29),X_41)).
% 115.15/113.92  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_41),Y_29))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_29),X_41)).
% 115.15/113.92  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_41),Y_29))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_29),X_41)).
% 115.15/113.92  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_41),Y_29))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_29),X_41)).
% 115.15/113.92  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_1),Y_2))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_1),Y_2)).
% 115.15/113.92  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_1),Y_2))|X_1!=Y_2.
% 115.15/113.92  0 [] hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_1),Y_2))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_1),Y_2))|X_1=Y_2.
% 115.15/113.92  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,X_1),Y_2))|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,X_1),Y_2)).
% 115.15/113.92  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,X_1),Y_2))|X_1!=Y_2.
% 115.15/113.92  0 [] hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,X_1),Y_2))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,X_1),Y_2))|X_1=Y_2.
% 115.15/113.92  0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X_1),Y_2))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_1),Y_2)).
% 115.15/113.92  0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X_1),Y_2))|X_1!=Y_2.
% 115.15/113.92  0 [] hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X_1),Y_2))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_1),Y_2))|X_1=Y_2.
% 115.15/113.93  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_1),Y_2))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,X_1),Y_2)).
% 115.15/113.93  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_1),Y_2))|X_1!=Y_2.
% 115.15/113.93  0 [] hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_1),Y_2))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,X_1),Y_2))|X_1=Y_2.
% 115.15/113.93  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_2)).
% 115.15/113.93  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_2))|X_1!=Y_2.
% 115.15/113.93  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_2))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_2))|X_1=Y_2.
% 115.15/113.93  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_2)).
% 115.15/113.93  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_2))|X_1!=Y_2.
% 115.15/113.93  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_2))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_2))|X_1=Y_2.
% 115.15/113.93  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_2))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_2)).
% 115.15/113.93  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_2))|X_1!=Y_2.
% 115.15/113.93  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_2))|X_1=Y_2.
% 115.15/113.93  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_1),Y_2))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_1),Y_2)).
% 115.15/113.93  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_1),Y_2))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Y_2),X_1)).
% 115.15/113.93  0 [] hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_1),Y_2))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_1),Y_2))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Y_2),X_1)).
% 115.15/113.93  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,X_1),Y_2))|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,X_1),Y_2)).
% 115.15/113.93  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,X_1),Y_2))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Y_2),X_1)).
% 115.15/113.93  0 [] hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,X_1),Y_2))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,X_1),Y_2))|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Y_2),X_1)).
% 115.15/113.93  0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X_1),Y_2))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_1),Y_2)).
% 115.15/113.93  0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X_1),Y_2))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Y_2),X_1)).
% 115.15/113.93  0 [] hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X_1),Y_2))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_1),Y_2))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Y_2),X_1)).
% 115.15/113.93  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_1),Y_2))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,X_1),Y_2)).
% 115.15/113.93  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_1),Y_2))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,Y_2),X_1)).
% 115.15/113.93  0 [] hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_1),Y_2))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,X_1),Y_2))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,Y_2),X_1)).
% 115.15/113.93  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_2)).
% 115.15/113.93  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_2))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_2),X_1)).
% 115.15/113.93  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_2))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_2),X_1)).
% 115.15/113.93  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_2)).
% 115.15/113.93  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_2))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_2),X_1)).
% 115.15/113.93  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_2))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_2),X_1)).
% 115.15/113.93  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_2))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_2)).
% 115.15/113.93  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_2),X_1)).
% 115.15/113.93  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_2))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_2),X_1)).
% 115.15/113.93  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_1),Y_2))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_1),Y_2))|X_1=Y_2.
% 115.15/113.93  0 [] hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_1),Y_2))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_1),Y_2)).
% 115.15/113.93  0 [] hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_1),Y_2))|X_1!=Y_2.
% 115.15/113.93  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,X_1),Y_2))|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,X_1),Y_2))|X_1=Y_2.
% 115.15/113.93  0 [] hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,X_1),Y_2))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,X_1),Y_2)).
% 115.15/113.93  0 [] hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,X_1),Y_2))|X_1!=Y_2.
% 115.15/113.93  0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_1),Y_2))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X_1),Y_2))|X_1=Y_2.
% 115.15/113.93  0 [] hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_1),Y_2))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X_1),Y_2)).
% 115.15/113.93  0 [] hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_1),Y_2))|X_1!=Y_2.
% 115.15/113.93  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,X_1),Y_2))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_1),Y_2))|X_1=Y_2.
% 115.15/113.93  0 [] hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,X_1),Y_2))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_1),Y_2)).
% 115.15/113.93  0 [] hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,X_1),Y_2))|X_1!=Y_2.
% 115.15/113.93  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_2))|X_1=Y_2.
% 115.15/113.93  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_2))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_2)).
% 115.15/113.93  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_2))|X_1!=Y_2.
% 115.15/113.93  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_2))|X_1=Y_2.
% 115.15/113.93  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_2))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_2)).
% 115.15/113.93  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_2))|X_1!=Y_2.
% 115.15/113.93  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_2))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_2))|X_1=Y_2.
% 115.15/113.93  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_2)).
% 115.15/113.93  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_2))|X_1!=Y_2.
% 115.15/113.93  0 [] hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_40),Y_28))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Y_28),X_40)).
% 115.15/113.93  0 [] hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_40),Y_28))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,Y_28),X_40)).
% 115.15/113.93  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_40),Y_28))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_28),X_40)).
% 115.15/113.93  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_40),Y_28))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_28),X_40)).
% 115.15/113.93  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_40),Y_28))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_28),X_40)).
% 115.15/113.93  0 [] hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Y_27),X_39))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_39),Y_27)).
% 115.15/113.93  0 [] hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,Y_27),X_39))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_39),Y_27)).
% 115.15/113.93  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_27),X_39))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_39),Y_27)).
% 115.15/113.93  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_27),X_39))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_39),Y_27)).
% 115.15/113.93  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_27),X_39))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_39),Y_27)).
% 115.15/113.93  0 [] hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_1),Y_2))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_1),Y_2))|X_1=Y_2.
% 115.15/113.93  0 [] hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_1),Y_2))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_1),Y_2))|X_1!=Y_2.
% 115.15/113.93  0 [] hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_1),Y_2))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,X_1),Y_2))|X_1=Y_2.
% 115.15/113.93  0 [] hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_1),Y_2))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,X_1),Y_2))|X_1!=Y_2.
% 115.15/113.93  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_2))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_2))|X_1=Y_2.
% 115.15/113.93  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_2))|X_1!=Y_2.
% 115.15/113.93  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_2))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_2))|X_1=Y_2.
% 115.15/113.93  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_2))|X_1!=Y_2.
% 115.15/113.93  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_2))|X_1=Y_2.
% 115.15/113.93  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_2))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_2))|X_1!=Y_2.
% 115.15/113.93  0 [] A_184=B_139| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_184),B_139))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_184),B_139)).
% 115.15/113.93  0 [] Aa=Ba| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Aa),Ba))|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Aa),Ba)).
% 115.15/113.93  0 [] Aa=Ba| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Aa),Ba))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Aa),Ba)).
% 115.15/113.93  0 [] A_184=B_139| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_184),B_139))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_184),B_139)).
% 115.15/113.93  0 [] A_184=B_139| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_184),B_139))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_184),B_139)).
% 115.15/113.93  0 [] A_184=B_139| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_184),B_139))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_184),B_139)).
% 115.15/113.93  0 [] A_184=B_139| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_184),B_139))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_184),B_139)).
% 115.15/113.93  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_2),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,B_1),one_one_int)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_2),B_1)).
% 115.15/113.93  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,I_1),K_1))| -hBOOL(hAPP_int_bool(P_1,K_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,$f113(P_1,I_1,K_1)),K_1))|hBOOL(hAPP_int_bool(P_1,I_1)).
% 115.15/113.93  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,I_1),K_1))| -hBOOL(hAPP_int_bool(P_1,K_1))|hBOOL(hAPP_int_bool(P_1,$f113(P_1,I_1,K_1)))|hBOOL(hAPP_int_bool(P_1,I_1)).
% 115.15/113.93  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,I_1),K_1))| -hBOOL(hAPP_int_bool(P_1,K_1))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f113(P_1,I_1,K_1)),one_one_int)))|hBOOL(hAPP_int_bool(P_1,I_1)).
% 115.15/113.93  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,I_1),K_1))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,K_1),one_one_int)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f114(P_1,I_1,K_1)),K_1))|hBOOL(hAPP_int_bool(P_1,I_1)).
% 115.15/113.93  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,I_1),K_1))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,K_1),one_one_int)))|hBOOL(hAPP_int_bool(P_1,$f114(P_1,I_1,K_1)))|hBOOL(hAPP_int_bool(P_1,I_1)).
% 115.15/113.93  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,I_1),K_1))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,K_1),one_one_int)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f114(P_1,I_1,K_1)),one_one_int)))|hBOOL(hAPP_int_bool(P_1,I_1)).
% 115.15/113.93  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),I_1))| -hBOOL(hAPP_int_bool(P_1,K_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),$f115(P_1,K_1,I_1)))|hBOOL(hAPP_int_bool(P_1,I_1)).
% 115.15/113.93  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),I_1))| -hBOOL(hAPP_int_bool(P_1,K_1))|hBOOL(hAPP_int_bool(P_1,$f115(P_1,K_1,I_1)))|hBOOL(hAPP_int_bool(P_1,I_1)).
% 115.15/113.93  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),I_1))| -hBOOL(hAPP_int_bool(P_1,K_1))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f115(P_1,K_1,I_1)),one_one_int)))|hBOOL(hAPP_int_bool(P_1,I_1)).
% 115.15/113.93  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),I_1))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K_1),one_one_int)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),$f116(P_1,K_1,I_1)))|hBOOL(hAPP_int_bool(P_1,I_1)).
% 115.15/113.93  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),I_1))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K_1),one_one_int)))|hBOOL(hAPP_int_bool(P_1,$f116(P_1,K_1,I_1)))|hBOOL(hAPP_int_bool(P_1,I_1)).
% 115.15/113.93  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),I_1))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K_1),one_one_int)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f116(P_1,K_1,I_1)),one_one_int)))|hBOOL(hAPP_int_bool(P_1,I_1)).
% 115.15/113.93  0 [] hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,$f117(Z_11,Y_26)),Y_26))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Y_26),Z_11)).
% 115.15/113.93  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,$f117(Z_11,Y_26)),Z_11))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Y_26),Z_11)).
% 115.15/113.93  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,$f118(Z_11,Y_26)),Y_26))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_26),Z_11)).
% 115.15/113.93  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f118(Z_11,Y_26)),Z_11))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_26),Z_11)).
% 115.15/113.93  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_38),Y_25))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_38),$f119(Z_10,X_38,Y_25)))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Y_25),Z_10)).
% 115.15/113.93  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_38),Y_25))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,$f119(Z_10,X_38,Y_25)),Y_25))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Y_25),Z_10)).
% 115.15/113.93  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_38),Y_25))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,$f119(Z_10,X_38,Y_25)),Z_10))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Y_25),Z_10)).
% 115.15/113.93  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_38),Y_25))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_38),$f120(Z_10,X_38,Y_25)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_25),Z_10)).
% 115.15/113.93  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_38),Y_25))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,$f120(Z_10,X_38,Y_25)),Y_25))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_25),Z_10)).
% 115.15/113.93  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_38),Y_25))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f120(Z_10,X_38,Y_25)),Z_10))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_25),Z_10)).
% 115.15/113.93  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,F),G))|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,F),G)).
% 115.15/113.93  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,F),G))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,G),F)).
% 115.15/113.93  0 [] 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)).
% 115.15/113.93  0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,F),G))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,F),G)).
% 115.15/113.93  0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,F),G))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,G),F)).
% 115.15/113.93  0 [] 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)).
% 115.15/113.93  0 [] -hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,hAPP_int_bool(F,$f121(F,G))),hAPP_int_bool(G,$f121(F,G))))|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,F),G)).
% 115.15/113.93  0 [] -hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,hAPP_nat_bool(F,$f122(F,G))),hAPP_nat_bool(G,$f122(F,G))))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,F),G)).
% 115.15/113.93  0 [] -hBOOL(hAPP_int_bool(P_1,K_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),$f123(I_1,P_1,K_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,$f124(I_1,P_1,K_1)),K_1))|hBOOL(hAPP_int_bool(P_1,I_1)).
% 115.15/113.93  0 [] -hBOOL(hAPP_int_bool(P_1,K_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),$f123(I_1,P_1,K_1)))|hBOOL(hAPP_int_bool(P_1,$f124(I_1,P_1,K_1)))|hBOOL(hAPP_int_bool(P_1,I_1)).
% 115.15/113.93  0 [] -hBOOL(hAPP_int_bool(P_1,K_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),$f123(I_1,P_1,K_1)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f124(I_1,P_1,K_1)),one_one_int)))|hBOOL(hAPP_int_bool(P_1,I_1)).
% 115.15/113.93  0 [] -hBOOL(hAPP_int_bool(P_1,K_1))|hBOOL(hAPP_int_bool(P_1,$f123(I_1,P_1,K_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,$f124(I_1,P_1,K_1)),K_1))|hBOOL(hAPP_int_bool(P_1,I_1)).
% 115.15/113.93  0 [] -hBOOL(hAPP_int_bool(P_1,K_1))|hBOOL(hAPP_int_bool(P_1,$f123(I_1,P_1,K_1)))|hBOOL(hAPP_int_bool(P_1,$f124(I_1,P_1,K_1)))|hBOOL(hAPP_int_bool(P_1,I_1)).
% 115.15/113.93  0 [] -hBOOL(hAPP_int_bool(P_1,K_1))|hBOOL(hAPP_int_bool(P_1,$f123(I_1,P_1,K_1)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f124(I_1,P_1,K_1)),one_one_int)))|hBOOL(hAPP_int_bool(P_1,I_1)).
% 115.15/113.93  0 [] -hBOOL(hAPP_int_bool(P_1,K_1))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f123(I_1,P_1,K_1)),one_one_int)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,$f124(I_1,P_1,K_1)),K_1))|hBOOL(hAPP_int_bool(P_1,I_1)).
% 115.15/113.93  0 [] -hBOOL(hAPP_int_bool(P_1,K_1))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f123(I_1,P_1,K_1)),one_one_int)))|hBOOL(hAPP_int_bool(P_1,$f124(I_1,P_1,K_1)))|hBOOL(hAPP_int_bool(P_1,I_1)).
% 115.15/113.93  0 [] -hBOOL(hAPP_int_bool(P_1,K_1))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f123(I_1,P_1,K_1)),one_one_int)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f124(I_1,P_1,K_1)),one_one_int)))|hBOOL(hAPP_int_bool(P_1,I_1)).
% 115.15/113.93  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_2),C_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_1),C_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_2),B_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_1),A_2)).
% 115.15/113.93  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),$f125(X_1,P_1)))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f125(X_1,P_1)),one_one_int)))|hBOOL(hAPP_int_bool(P_1,X_1)).
% 115.15/113.93  0 [] -hBOOL(hAPP_int_bool(P_1,$f125(X_1,P_1)))|hBOOL(hAPP_int_bool(P_1,X_1)).
% 115.15/113.93  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_37),A_183))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Y_24),A_183))| -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_13))|hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,U_3),V_13)!=one_one_rat|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,U_3),X_37)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,V_13),Y_24))),A_183)).
% 115.15/113.93  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_37),A_183))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_24),A_183))| -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_13))|hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,U_3),V_13)!=one_one_real|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,U_3),X_37)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,V_13),Y_24))),A_183)).
% 115.15/113.93  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_37),A_183))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_24),A_183))| -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_13))|hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,U_3),V_13)!=one_one_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,U_3),X_37)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,V_13),Y_24))),A_183)).
% 115.15/113.93  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(number_number_of_int,V)),archim1419379755ng_rat(X_1)))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,hAPP_int_rat(number_number_of_rat,V)),one_one_rat)),X_1)).
% 115.15/113.93  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(number_number_of_int,V)),archim1419379755ng_rat(X_1)))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,hAPP_int_rat(number_number_of_rat,V)),one_one_rat)),X_1)).
% 115.15/113.93  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(number_number_of_int,V)),archim856651990g_real(X_1)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_int_real(number267125858f_real,V)),one_one_real)),X_1)).
% 115.15/113.93  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(number_number_of_int,V)),archim856651990g_real(X_1)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_int_real(number267125858f_real,V)),one_one_real)),X_1)).
% 115.15/113.93  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,archim1419379755ng_rat(X_1)),hAPP_int_int(number_number_of_int,V)))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_1),hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,hAPP_int_rat(number_number_of_rat,V)),one_one_rat))).
% 115.15/113.93  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,archim1419379755ng_rat(X_1)),hAPP_int_int(number_number_of_int,V)))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_1),hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,hAPP_int_rat(number_number_of_rat,V)),one_one_rat))).
% 115.15/113.93  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,archim856651990g_real(X_1)),hAPP_int_int(number_number_of_int,V)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_int_real(number267125858f_real,V)),one_one_real))).
% 115.15/113.93  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,archim856651990g_real(X_1)),hAPP_int_int(number_number_of_int,V)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_int_real(number267125858f_real,V)),one_one_real))).
% 115.15/113.93  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),archim1419379755ng_rat(X_1)))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),X_1)).
% 115.15/113.93  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),archim1419379755ng_rat(X_1)))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),X_1)).
% 115.15/113.93  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),archim856651990g_real(X_1)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1)).
% 115.15/113.93  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),archim856651990g_real(X_1)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1)).
% 115.15/113.93  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,archim1419379755ng_rat(X_1)),zero_zero_int))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_1),zero_zero_rat)).
% 115.15/113.93  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,archim1419379755ng_rat(X_1)),zero_zero_int))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_1),zero_zero_rat)).
% 115.15/113.93  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,archim856651990g_real(X_1)),zero_zero_int))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),zero_zero_real)).
% 115.15/113.93  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,archim856651990g_real(X_1)),zero_zero_int))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),zero_zero_real)).
% 115.15/113.93  0 [] archim1419379755ng_rat(zero_zero_rat)=zero_zero_int.
% 115.15/113.93  0 [] archim856651990g_real(zero_zero_real)=zero_zero_int.
% 115.15/113.93  0 [] zero_zero_rat!=X_1|X_1=zero_zero_rat.
% 115.15/113.93  0 [] zero_zero_rat=X_1|X_1!=zero_zero_rat.
% 115.15/113.93  0 [] zero_z891286103de_int!=X_1|X_1=zero_z891286103de_int.
% 115.15/113.93  0 [] zero_z891286103de_int=X_1|X_1!=zero_z891286103de_int.
% 115.15/113.94  0 [] zero_zero_complex!=X_1|X_1=zero_zero_complex.
% 115.15/113.94  0 [] zero_zero_complex=X_1|X_1!=zero_zero_complex.
% 115.15/113.94  0 [] zero_z126310315umeral!=X_1|X_1=zero_z126310315umeral.
% 115.15/113.94  0 [] zero_z126310315umeral=X_1|X_1!=zero_z126310315umeral.
% 115.15/113.94  0 [] zero_zero_nat!=X_1|X_1=zero_zero_nat.
% 115.15/113.94  0 [] zero_zero_nat=X_1|X_1!=zero_zero_nat.
% 115.15/113.94  0 [] zero_zero_real!=X_1|X_1=zero_zero_real.
% 115.15/113.94  0 [] zero_zero_real=X_1|X_1!=zero_zero_real.
% 115.15/113.94  0 [] zero_zero_int!=X_1|X_1=zero_zero_int.
% 115.15/113.94  0 [] zero_zero_int=X_1|X_1!=zero_zero_int.
% 115.15/113.94  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,archim1419379755ng_rat(X_1)),one_one_int))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_1),zero_zero_rat)).
% 115.15/113.94  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,archim1419379755ng_rat(X_1)),one_one_int))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_1),zero_zero_rat)).
% 115.15/113.94  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,archim856651990g_real(X_1)),one_one_int))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),zero_zero_real)).
% 115.15/113.94  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,archim856651990g_real(X_1)),one_one_int))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),zero_zero_real)).
% 115.15/113.94  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),archim1419379755ng_rat(X_1)))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),X_1)).
% 115.15/113.94  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),archim1419379755ng_rat(X_1)))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),X_1)).
% 115.15/113.94  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),archim856651990g_real(X_1)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1)).
% 115.15/113.94  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),archim856651990g_real(X_1)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1)).
% 115.15/113.94  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_182),B_138)!=zero_zero_rat|A_182=zero_zero_rat|B_138=zero_zero_rat.
% 115.15/113.94  0 [] hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_182),B_138)!=zero_z891286103de_int|A_182=zero_z891286103de_int|B_138=zero_z891286103de_int.
% 115.15/113.94  0 [] hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_182),B_138)!=zero_zero_complex|A_182=zero_zero_complex|B_138=zero_zero_complex.
% 115.15/113.94  0 [] hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_182),B_138)!=zero_z126310315umeral|A_182=zero_z126310315umeral|B_138=zero_z126310315umeral.
% 115.15/113.94  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_182),B_138)!=zero_zero_nat|A_182=zero_zero_nat|B_138=zero_zero_nat.
% 115.15/113.94  0 [] hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_182),B_138)!=zero_zero_real|A_182=zero_zero_real|B_138=zero_zero_real.
% 115.15/113.94  0 [] hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_182),B_138)!=zero_zero_int|A_182=zero_zero_int|B_138=zero_zero_int.
% 115.15/113.94  0 [] A_181=zero_zero_rat|B_137=zero_zero_rat|hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_181),B_137)!=zero_zero_rat.
% 115.15/113.94  0 [] A_181=zero_z891286103de_int|B_137=zero_z891286103de_int|hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_181),B_137)!=zero_z891286103de_int.
% 115.15/113.94  0 [] A_181=zero_zero_complex|B_137=zero_zero_complex|hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_181),B_137)!=zero_zero_complex.
% 115.15/113.94  0 [] A_181=zero_z126310315umeral|B_137=zero_z126310315umeral|hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_181),B_137)!=zero_z126310315umeral.
% 115.15/113.94  0 [] A_181=zero_zero_nat|B_137=zero_zero_nat|hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_181),B_137)!=zero_zero_nat.
% 115.15/113.94  0 [] A_181=zero_zero_real|B_137=zero_zero_real|hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_181),B_137)!=zero_zero_real.
% 115.15/113.94  0 [] A_181=zero_zero_int|B_137=zero_zero_int|hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_181),B_137)!=zero_zero_int.
% 115.15/113.94  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Aa),Ba)!=zero_zero_rat|Aa=zero_zero_rat|Ba=zero_zero_rat.
% 115.15/113.94  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Aa),Ba)=zero_zero_rat|Aa!=zero_zero_rat.
% 115.15/113.94  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Aa),Ba)=zero_zero_rat|Ba!=zero_zero_rat.
% 115.15/113.94  0 [] hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Aa),Ba)!=zero_zero_complex|Aa=zero_zero_complex|Ba=zero_zero_complex.
% 115.15/113.94  0 [] hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Aa),Ba)=zero_zero_complex|Aa!=zero_zero_complex.
% 115.15/113.94  0 [] hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Aa),Ba)=zero_zero_complex|Ba!=zero_zero_complex.
% 115.15/113.94  0 [] hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Aa),Ba)!=zero_zero_real|Aa=zero_zero_real|Ba=zero_zero_real.
% 115.15/113.94  0 [] hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Aa),Ba)=zero_zero_real|Aa!=zero_zero_real.
% 115.15/113.94  0 [] hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Aa),Ba)=zero_zero_real|Ba!=zero_zero_real.
% 115.15/113.94  0 [] hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Aa),Ba)!=zero_zero_int|Aa=zero_zero_int|Ba=zero_zero_int.
% 115.15/113.94  0 [] hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Aa),Ba)=zero_zero_int|Aa!=zero_zero_int.
% 115.15/113.94  0 [] hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Aa),Ba)=zero_zero_int|Ba!=zero_zero_int.
% 115.15/113.94  0 [] hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,X_36),zero_zero_complex)=zero_zero_complex.
% 115.15/113.94  0 [] hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_36),zero_zero_real)=zero_zero_real.
% 115.15/113.94  0 [] hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_180),zero_zero_complex)=zero_zero_complex.
% 115.15/113.94  0 [] hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_180),zero_zero_real)=zero_zero_real.
% 115.15/113.94  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_179),zero_zero_rat)=zero_zero_rat.
% 115.15/113.94  0 [] hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_179),zero_z891286103de_int)=zero_z891286103de_int.
% 115.15/113.94  0 [] hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_179),zero_zero_complex)=zero_zero_complex.
% 115.15/113.94  0 [] hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_179),zero_z126310315umeral)=zero_z126310315umeral.
% 115.15/113.94  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_179),zero_zero_nat)=zero_zero_nat.
% 115.15/113.94  0 [] hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_179),zero_zero_real)=zero_zero_real.
% 115.15/113.94  0 [] hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_179),zero_zero_int)=zero_zero_int.
% 115.15/113.94  0 [] hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,zero_zero_complex),Y_23)=zero_zero_complex.
% 115.15/113.94  0 [] hAPP_real_real(hAPP_r1250527377l_real(times_times_real,zero_zero_real),Y_23)=zero_zero_real.
% 115.15/113.94  0 [] hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,zero_zero_complex),B_136)=zero_zero_complex.
% 115.15/113.94  0 [] hAPP_real_real(hAPP_r1250527377l_real(times_times_real,zero_zero_real),B_136)=zero_zero_real.
% 115.15/113.94  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,zero_zero_rat),A_178)=zero_zero_rat.
% 115.15/113.94  0 [] hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,zero_z891286103de_int),A_178)=zero_z891286103de_int.
% 115.15/113.94  0 [] hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,zero_zero_complex),A_178)=zero_zero_complex.
% 115.15/113.94  0 [] hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,zero_z126310315umeral),A_178)=zero_z126310315umeral.
% 115.15/113.94  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,zero_zero_nat),A_178)=zero_zero_nat.
% 115.15/113.94  0 [] hAPP_real_real(hAPP_r1250527377l_real(times_times_real,zero_zero_real),A_178)=zero_zero_real.
% 115.15/113.94  0 [] hAPP_int_int(hAPP_int_fun_int_int(times_times_int,zero_zero_int),A_178)=zero_zero_int.
% 115.15/113.94  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_177),zero_zero_rat)=zero_zero_rat.
% 115.15/113.94  0 [] hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_177),zero_z891286103de_int)=zero_z891286103de_int.
% 115.15/113.94  0 [] hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_177),zero_zero_complex)=zero_zero_complex.
% 115.15/113.94  0 [] hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_177),zero_z126310315umeral)=zero_z126310315umeral.
% 115.15/113.94  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_177),zero_zero_nat)=zero_zero_nat.
% 115.15/113.94  0 [] hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_177),zero_zero_real)=zero_zero_real.
% 115.15/113.94  0 [] hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_177),zero_zero_int)=zero_zero_int.
% 115.15/113.94  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,zero_zero_rat),A_176)=zero_zero_rat.
% 115.15/113.94  0 [] hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,zero_z891286103de_int),A_176)=zero_z891286103de_int.
% 115.15/113.94  0 [] hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,zero_zero_complex),A_176)=zero_zero_complex.
% 115.15/113.94  0 [] hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,zero_z126310315umeral),A_176)=zero_z126310315umeral.
% 115.15/113.94  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,zero_zero_nat),A_176)=zero_zero_nat.
% 115.15/113.94  0 [] hAPP_real_real(hAPP_r1250527377l_real(times_times_real,zero_zero_real),A_176)=zero_zero_real.
% 115.15/113.94  0 [] hAPP_int_int(hAPP_int_fun_int_int(times_times_int,zero_zero_int),A_176)=zero_zero_int.
% 115.15/113.94  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,Aa),Aa)!=zero_zero_rat|Aa=zero_zero_rat.
% 115.15/113.94  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,Aa),Aa)=zero_zero_rat|Aa!=zero_zero_rat.
% 115.15/113.94  0 [] hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Aa),Aa)!=zero_zero_real|Aa=zero_zero_real.
% 115.15/113.94  0 [] hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Aa),Aa)=zero_zero_real|Aa!=zero_zero_real.
% 115.15/113.94  0 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Aa),Aa)!=zero_zero_int|Aa=zero_zero_int.
% 115.15/113.94  0 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Aa),Aa)=zero_zero_int|Aa!=zero_zero_int.
% 115.15/113.94  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_175),zero_zero_rat)=A_175.
% 115.15/113.94  0 [] hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_175),zero_z891286103de_int)=A_175.
% 115.15/113.94  0 [] hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_175),zero_zero_complex)=A_175.
% 115.15/113.94  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_175),zero_zero_nat)=A_175.
% 115.15/113.94  0 [] hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_175),zero_zero_real)=A_175.
% 115.15/113.94  0 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_175),zero_zero_int)=A_175.
% 115.15/113.94  0 [] hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_175),zero_z126310315umeral)=A_175.
% 115.15/113.94  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_174),zero_zero_rat)=A_174.
% 115.15/113.94  0 [] hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_174),zero_z891286103de_int)=A_174.
% 115.15/113.94  0 [] hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_174),zero_zero_complex)=A_174.
% 115.15/113.94  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_174),zero_zero_nat)=A_174.
% 115.15/113.94  0 [] hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_174),zero_zero_real)=A_174.
% 115.15/113.94  0 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_174),zero_zero_int)=A_174.
% 115.15/113.94  0 [] hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_174),zero_z126310315umeral)=A_174.
% 115.15/113.94  0 [] zero_zero_rat!=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,Aa),Aa)|Aa=zero_zero_rat.
% 115.15/113.94  0 [] zero_zero_rat=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,Aa),Aa)|Aa!=zero_zero_rat.
% 115.15/113.94  0 [] zero_zero_real!=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Aa),Aa)|Aa=zero_zero_real.
% 115.15/113.94  0 [] zero_zero_real=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Aa),Aa)|Aa!=zero_zero_real.
% 115.15/113.94  0 [] zero_zero_int!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Aa),Aa)|Aa=zero_zero_int.
% 115.15/113.94  0 [] zero_zero_int=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Aa),Aa)|Aa!=zero_zero_int.
% 115.15/113.94  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,zero_zero_rat),A_173)=A_173.
% 115.15/113.94  0 [] hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,zero_z891286103de_int),A_173)=A_173.
% 115.15/113.94  0 [] hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,zero_zero_complex),A_173)=A_173.
% 115.15/113.94  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,zero_zero_nat),A_173)=A_173.
% 115.15/113.94  0 [] hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,zero_zero_real),A_173)=A_173.
% 115.15/113.94  0 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,zero_zero_int),A_173)=A_173.
% 115.15/113.94  0 [] hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,zero_z126310315umeral),A_173)=A_173.
% 115.15/113.94  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,zero_zero_rat),A_172)=A_172.
% 115.15/113.94  0 [] hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,zero_z891286103de_int),A_172)=A_172.
% 115.15/113.94  0 [] hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,zero_zero_complex),A_172)=A_172.
% 115.15/113.94  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,zero_zero_nat),A_172)=A_172.
% 115.15/113.94  0 [] hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,zero_zero_real),A_172)=A_172.
% 115.15/113.94  0 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,zero_zero_int),A_172)=A_172.
% 115.15/113.94  0 [] hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,zero_z126310315umeral),A_172)=A_172.
% 115.15/113.94  0 [] Ba!=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,Ba),Aa)|Aa=zero_zero_rat.
% 115.15/113.94  0 [] Ba=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,Ba),Aa)|Aa!=zero_zero_rat.
% 115.15/113.94  0 [] Ba!=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,Ba),Aa)|Aa=zero_zero_complex.
% 115.15/113.94  0 [] Ba=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,Ba),Aa)|Aa!=zero_zero_complex.
% 115.15/113.94  0 [] Ba!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Ba),Aa)|Aa=zero_zero_nat.
% 115.15/113.94  0 [] Ba=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Ba),Aa)|Aa!=zero_zero_nat.
% 115.15/113.94  0 [] Ba!=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Ba),Aa)|Aa=zero_zero_real.
% 115.15/113.94  0 [] Ba=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Ba),Aa)|Aa!=zero_zero_real.
% 115.15/113.94  0 [] Ba!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Ba),Aa)|Aa=zero_zero_int.
% 115.15/113.94  0 [] Ba=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Ba),Aa)|Aa!=zero_zero_int.
% 115.15/113.94  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_171),zero_zero_rat)=A_171.
% 115.15/113.94  0 [] hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_171),zero_z891286103de_int)=A_171.
% 115.15/113.94  0 [] hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_171),zero_zero_complex)=A_171.
% 115.15/113.94  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_171),zero_zero_nat)=A_171.
% 115.15/113.94  0 [] hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_171),zero_zero_real)=A_171.
% 115.15/113.94  0 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_171),zero_zero_int)=A_171.
% 115.15/113.94  0 [] hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_171),zero_z126310315umeral)=A_171.
% 115.15/113.94  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,zero_zero_rat),A_170)=A_170.
% 115.15/113.94  0 [] hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,zero_z891286103de_int),A_170)=A_170.
% 115.15/113.94  0 [] hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,zero_zero_complex),A_170)=A_170.
% 115.15/113.94  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,zero_zero_nat),A_170)=A_170.
% 115.15/113.94  0 [] hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,zero_zero_real),A_170)=A_170.
% 115.15/113.94  0 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,zero_zero_int),A_170)=A_170.
% 115.15/113.94  0 [] hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,zero_z126310315umeral),A_170)=A_170.
% 115.15/113.94  0 [] zero_zero_rat!=one_one_rat.
% 115.15/113.94  0 [] zero_z891286103de_int!=one_on1684967323de_int.
% 115.15/113.94  0 [] zero_zero_complex!=one_one_complex.
% 115.15/113.94  0 [] zero_z126310315umeral!=one_on1645066479umeral.
% 115.15/113.94  0 [] zero_zero_nat!=one_one_nat.
% 115.15/113.94  0 [] zero_zero_real!=one_one_real.
% 115.15/113.94  0 [] zero_zero_int!=one_one_int.
% 115.15/113.94  0 [] one_one_rat!=zero_zero_rat.
% 115.15/113.94  0 [] one_on1684967323de_int!=zero_z891286103de_int.
% 115.15/113.94  0 [] one_one_complex!=zero_zero_complex.
% 115.15/113.94  0 [] one_on1645066479umeral!=zero_z126310315umeral.
% 115.15/113.94  0 [] one_one_nat!=zero_zero_nat.
% 115.15/113.94  0 [] one_one_real!=zero_zero_real.
% 115.15/113.94  0 [] one_one_int!=zero_zero_int.
% 115.15/113.94  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,Aa),Ba)!=zero_zero_rat|Aa=Ba.
% 115.15/113.94  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,Aa),Ba)=zero_zero_rat|Aa!=Ba.
% 115.15/113.94  0 [] hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,Aa),Ba)!=zero_zero_complex|Aa=Ba.
% 115.15/113.94  0 [] hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,Aa),Ba)=zero_zero_complex|Aa!=Ba.
% 115.15/113.94  0 [] hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Aa),Ba)!=zero_zero_real|Aa=Ba.
% 115.15/113.94  0 [] hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Aa),Ba)=zero_zero_real|Aa!=Ba.
% 115.15/113.94  0 [] hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Aa),Ba)!=zero_zero_int|Aa=Ba.
% 115.15/113.94  0 [] hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Aa),Ba)=zero_zero_int|Aa!=Ba.
% 115.15/113.94  0 [] Aa!=Ba|hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,Aa),Ba)=zero_zero_rat.
% 115.15/113.94  0 [] Aa=Ba|hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,Aa),Ba)!=zero_zero_rat.
% 115.15/113.94  0 [] Aa!=Ba|hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,Aa),Ba)=zero_zero_complex.
% 115.15/113.94  0 [] Aa=Ba|hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,Aa),Ba)!=zero_zero_complex.
% 115.15/113.94  0 [] Aa!=Ba|hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Aa),Ba)=zero_zero_real.
% 115.15/113.94  0 [] Aa=Ba|hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Aa),Ba)!=zero_zero_real.
% 115.15/113.94  0 [] Aa!=Ba|hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Aa),Ba)=zero_zero_int.
% 115.15/113.94  0 [] Aa=Ba|hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Aa),Ba)!=zero_zero_int.
% 115.15/113.94  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,A_169),A_169)=zero_zero_rat.
% 115.15/113.94  0 [] hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,A_169),A_169)=zero_zero_complex.
% 115.15/113.94  0 [] hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,A_169),A_169)=zero_zero_real.
% 115.15/113.94  0 [] hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_169),A_169)=zero_zero_int.
% 115.15/113.94  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,A_168),zero_zero_rat)=A_168.
% 115.15/113.94  0 [] hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,A_168),zero_zero_complex)=A_168.
% 115.15/113.94  0 [] hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,A_168),zero_zero_real)=A_168.
% 115.15/113.94  0 [] hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_168),zero_zero_int)=A_168.
% 115.15/113.94  0 [] zero_zero_int!=one_one_int.
% 115.15/113.94  0 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Z_1),zero_zero_int)=Z_1.
% 115.15/113.94  0 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,zero_zero_int),Z_1)=Z_1.
% 115.15/113.94  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,archim1419379755ng_rat(X_35)),archim1419379755ng_rat(Y_22)))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_35),Y_22)).
% 115.15/113.94  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,archim856651990g_real(X_35)),archim856651990g_real(Y_22)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_35),Y_22)).
% 115.15/113.94  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_21),X_34))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,archim856651990g_real(Y_21)),archim856651990g_real(X_34))).
% 115.15/113.94  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Y_21),X_34))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,archim1419379755ng_rat(Y_21)),archim1419379755ng_rat(X_34))).
% 115.15/113.94  0 [] archim1419379755ng_rat(one_one_rat)=one_one_int.
% 115.15/113.94  0 [] archim856651990g_real(one_one_real)=one_one_int.
% 115.15/113.94  0 [] archim856651990g_real(hAPP_int_real(number267125858f_real,V_12))=hAPP_int_int(number_number_of_int,V_12).
% 115.15/113.94  0 [] archim1419379755ng_rat(hAPP_int_rat(number_number_of_rat,V_12))=hAPP_int_int(number_number_of_int,V_12).
% 115.15/113.94  0 [] 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_167),A_167))).
% 115.15/113.94  0 [] 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_167),A_167))).
% 115.15/113.94  0 [] 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_167),A_167))).
% 115.15/113.94  0 [] -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,Aa),Ba)))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),Aa))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Aa),zero_zero_rat)).
% 115.15/113.94  0 [] -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,Aa),Ba)))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),Aa))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Ba),zero_zero_rat)).
% 115.15/113.94  0 [] -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,Aa),Ba)))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),Ba))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Aa),zero_zero_rat)).
% 115.15/113.94  0 [] -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,Aa),Ba)))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),Ba))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Ba),zero_zero_rat)).
% 115.15/113.94  0 [] 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,Aa),Ba)))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),Aa))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),Ba)).
% 115.15/113.94  0 [] 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,Aa),Ba)))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Aa),zero_zero_rat))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Ba),zero_zero_rat)).
% 115.15/113.94  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Aa),Ba)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Aa))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),zero_zero_real)).
% 115.15/113.94  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Aa),Ba)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Aa))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Ba),zero_zero_real)).
% 115.15/113.94  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Aa),Ba)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Ba))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),zero_zero_real)).
% 115.15/113.94  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Aa),Ba)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Ba))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Ba),zero_zero_real)).
% 115.15/113.94  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Aa),Ba)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Aa))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Ba)).
% 115.15/113.94  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Aa),Ba)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Ba),zero_zero_real)).
% 115.15/113.94  0 [] -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,Aa),Ba)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Aa))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),zero_zero_int)).
% 115.15/113.94  0 [] -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,Aa),Ba)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Aa))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Ba),zero_zero_int)).
% 115.15/113.94  0 [] -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,Aa),Ba)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Ba))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),zero_zero_int)).
% 115.15/113.94  0 [] -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,Aa),Ba)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Ba))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Ba),zero_zero_int)).
% 115.15/113.94  0 [] 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,Aa),Ba)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Aa))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Ba)).
% 115.15/113.94  0 [] 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,Aa),Ba)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Ba),zero_zero_int)).
% 115.15/113.94  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Aa),Ba)),zero_zero_rat))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),Aa))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Aa),zero_zero_rat)).
% 115.15/113.94  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Aa),Ba)),zero_zero_rat))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),Aa))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),Ba)).
% 115.15/113.94  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Aa),Ba)),zero_zero_rat))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Ba),zero_zero_rat))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Aa),zero_zero_rat)).
% 115.15/113.94  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Aa),Ba)),zero_zero_rat))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Ba),zero_zero_rat))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),Ba)).
% 115.15/113.94  0 [] hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Aa),Ba)),zero_zero_rat))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),Aa))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Ba),zero_zero_rat)).
% 115.15/113.94  0 [] hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Aa),Ba)),zero_zero_rat))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Aa),zero_zero_rat))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),Ba)).
% 115.15/113.94  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Aa),Ba)),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Aa))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),zero_zero_real)).
% 115.15/113.94  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Aa),Ba)),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Aa))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Ba)).
% 115.15/113.94  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Aa),Ba)),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Ba),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),zero_zero_real)).
% 115.15/113.94  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Aa),Ba)),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Ba),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Ba)).
% 115.15/113.94  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Aa),Ba)),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Aa))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Ba),zero_zero_real)).
% 115.15/113.94  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Aa),Ba)),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Ba)).
% 115.15/113.94  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Aa),Ba)),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Aa))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),zero_zero_int)).
% 115.15/113.94  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Aa),Ba)),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Aa))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Ba)).
% 115.15/113.94  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Aa),Ba)),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Ba),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),zero_zero_int)).
% 115.15/113.94  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Aa),Ba)),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Ba),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Ba)).
% 115.15/113.94  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Aa),Ba)),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Aa))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Ba),zero_zero_int)).
% 115.15/113.94  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Aa),Ba)),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Ba)).
% 115.15/113.94  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),A_166))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),B_135))|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_166),B_135))).
% 115.15/113.94  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),A_166))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),B_135))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_166),B_135))).
% 115.15/113.94  0 [] -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),A_166))| -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),B_135))|hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_166),B_135))).
% 115.15/113.94  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_166))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B_135))|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_166),B_135))).
% 115.15/113.94  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_166))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B_135))|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_166),B_135))).
% 115.15/113.94  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_166))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_135))|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_166),B_135))).
% 115.15/113.94  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),A_165))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,B_134),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_165),B_134)),zero_zero_rat)).
% 115.15/113.94  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),A_165))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,B_134),zero_z891286103de_int))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_165),B_134)),zero_z891286103de_int)).
% 115.15/113.94  0 [] -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),A_165))| -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,B_134),zero_z126310315umeral))|hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_165),B_134)),zero_z126310315umeral)).
% 115.15/113.94  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_165))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_134),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_165),B_134)),zero_zero_nat)).
% 115.15/113.94  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_165))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_134),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_165),B_134)),zero_zero_real)).
% 115.15/113.94  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_165))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_134),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_165),B_134)),zero_zero_int)).
% 115.15/113.94  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),A_164))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,B_133),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_133),A_164)),zero_zero_rat)).
% 115.15/113.94  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),A_164))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,B_133),zero_z891286103de_int))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_133),A_164)),zero_z891286103de_int)).
% 115.15/113.94  0 [] -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),A_164))| -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,B_133),zero_z126310315umeral))|hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_133),A_164)),zero_z126310315umeral)).
% 115.15/113.94  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_164))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_133),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_133),A_164)),zero_zero_nat)).
% 115.15/113.94  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_164))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_133),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_133),A_164)),zero_zero_real)).
% 115.15/113.94  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_164))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_133),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_133),A_164)),zero_zero_int)).
% 115.15/113.94  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_163),zero_zero_rat))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),B_132))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_163),B_132)),zero_zero_rat)).
% 115.15/113.94  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_163),zero_z891286103de_int))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),B_132))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_163),B_132)),zero_z891286103de_int)).
% 115.15/113.94  0 [] -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,A_163),zero_z126310315umeral))| -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),B_132))|hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_163),B_132)),zero_z126310315umeral)).
% 115.15/113.94  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_163),zero_zero_nat))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B_132))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_163),B_132)),zero_zero_nat)).
% 115.15/113.94  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_163),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B_132))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_163),B_132)),zero_zero_real)).
% 115.15/113.94  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_163),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_132))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_163),B_132)),zero_zero_int)).
% 115.15/113.94  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_162),zero_zero_rat))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,B_131),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_162),B_131))).
% 115.15/113.94  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_162),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_131),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_162),B_131))).
% 115.15/113.94  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_162),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_131),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_162),B_131))).
% 115.15/113.94  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_161),B_130))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),C_63))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_161),C_63)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_130),C_63))).
% 115.15/113.94  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_161),B_130))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),C_63))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_161),C_63)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_130),C_63))).
% 115.15/113.94  0 [] -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,A_161),B_130))| -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),C_63))|hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_161),C_63)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_130),C_63))).
% 115.15/113.95  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_161),B_130))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_63))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_161),C_63)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_130),C_63))).
% 115.15/113.95  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_161),B_130))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C_63))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_161),C_63)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_130),C_63))).
% 115.15/113.95  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_161),B_130))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_63))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_161),C_63)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_130),C_63))).
% 115.15/113.95  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_160),B_129))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),C_62))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C_62),A_160)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C_62),B_129))).
% 115.15/113.95  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_160),B_129))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),C_62))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_62),A_160)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_62),B_129))).
% 115.15/113.95  0 [] -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,A_160),B_129))| -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),C_62))|hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_62),A_160)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_62),B_129))).
% 115.15/113.95  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_160),B_129))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_62))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_62),A_160)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_62),B_129))).
% 115.15/113.95  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_160),B_129))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C_62))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C_62),A_160)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C_62),B_129))).
% 115.15/113.95  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_160),B_129))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_62))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_62),A_160)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_62),B_129))).
% 115.15/113.95  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_159),B_128))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),C_61))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C_61),A_159)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C_61),B_128))).
% 115.15/113.95  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_159),B_128))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),C_61))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_61),A_159)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_61),B_128))).
% 115.15/113.95  0 [] -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,A_159),B_128))| -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),C_61))|hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_61),A_159)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_61),B_128))).
% 115.15/113.95  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_159),B_128))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_61))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_61),A_159)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_61),B_128))).
% 115.15/113.95  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_159),B_128))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C_61))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C_61),A_159)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C_61),B_128))).
% 115.15/113.95  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_159),B_128))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_61))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_61),A_159)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_61),B_128))).
% 115.15/113.95  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,B_127),A_158))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,C_60),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_158),C_60)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_127),C_60))).
% 115.15/113.95  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_127),A_158))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_60),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_158),C_60)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_127),C_60))).
% 115.15/113.95  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_127),A_158))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_60),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_158),C_60)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_127),C_60))).
% 115.15/113.95  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,B_126),A_157))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,C_59),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_59),A_157)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C_59),B_126))).
% 115.15/113.95  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_126),A_157))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_59),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_59),A_157)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C_59),B_126))).
% 115.15/113.95  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_126),A_157))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_59),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_59),A_157)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_59),B_126))).
% 115.15/113.95  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_156),B_125))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,C_58),D_13))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),A_156))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),C_58))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_156),C_58)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_125),D_13))).
% 115.15/113.95  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_156),B_125))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,C_58),D_13))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),A_156))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),C_58))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_156),C_58)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_125),D_13))).
% 115.15/113.95  0 [] -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,A_156),B_125))| -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,C_58),D_13))| -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),A_156))| -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),C_58))|hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_156),C_58)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_125),D_13))).
% 115.15/113.95  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_156),B_125))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_58),D_13))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_156))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_58))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_156),C_58)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_125),D_13))).
% 115.15/113.95  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_156),B_125))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_58),D_13))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_156))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C_58))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_156),C_58)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_125),D_13))).
% 115.15/113.95  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_156),B_125))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_58),D_13))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_156))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_58))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_156),C_58)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_125),D_13))).
% 115.15/113.95  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_155),B_124))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,C_57),D_12))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),B_124))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),C_57))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_155),C_57)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_124),D_12))).
% 115.15/113.95  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_155),B_124))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,C_57),D_12))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),B_124))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),C_57))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_155),C_57)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_124),D_12))).
% 115.15/113.95  0 [] -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,A_155),B_124))| -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,C_57),D_12))| -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),B_124))| -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),C_57))|hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_155),C_57)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_124),D_12))).
% 115.15/113.95  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_155),B_124))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_57),D_12))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B_124))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_57))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_155),C_57)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_124),D_12))).
% 115.15/113.95  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_155),B_124))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_57),D_12))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B_124))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C_57))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_155),C_57)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_124),D_12))).
% 115.15/113.95  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_155),B_124))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_57),D_12))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_124))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_57))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_155),C_57)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_124),D_12))).
% 115.15/113.95  0 [] -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_123))|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_154),B_123))).
% 115.15/113.95  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_154),zero_zero_rat))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,B_123),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_154),B_123))).
% 115.15/113.95  0 [] -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_123))|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_154),B_123))).
% 115.15/113.95  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_154),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_123),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_154),B_123))).
% 115.15/113.95  0 [] -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_123))|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_154),B_123))).
% 115.15/113.95  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_154),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_123),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_154),B_123))).
% 115.15/113.95  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),A_153))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,B_122),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_153),B_122)),zero_zero_rat)).
% 115.15/113.95  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_153),zero_zero_rat))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),B_122))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_153),B_122)),zero_zero_rat)).
% 115.15/113.95  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),A_153))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,B_122),zero_z891286103de_int))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_153),B_122)),zero_z891286103de_int)).
% 115.15/113.95  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_153),zero_z891286103de_int))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),B_122))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_153),B_122)),zero_z891286103de_int)).
% 115.15/113.95  0 [] -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),A_153))| -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,B_122),zero_z126310315umeral))|hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_153),B_122)),zero_z126310315umeral)).
% 115.15/113.95  0 [] -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,A_153),zero_z126310315umeral))| -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),B_122))|hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_153),B_122)),zero_z126310315umeral)).
% 115.15/113.95  0 [] -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_e_q_nat,B_122),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_153),B_122)),zero_zero_nat)).
% 115.15/113.95  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_153),zero_zero_nat))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B_122))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_153),B_122)),zero_zero_nat)).
% 115.15/113.95  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_153))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_122),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_153),B_122)),zero_zero_real)).
% 115.15/113.95  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_153),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B_122))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_153),B_122)),zero_zero_real)).
% 115.15/113.95  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_153))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_122),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_153),B_122)),zero_zero_int)).
% 115.15/113.95  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_153),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_122))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_153),B_122)),zero_zero_int)).
% 115.15/113.95  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_152),A_152)),zero_zero_rat)).
% 115.15/113.95  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_152),A_152)),zero_zero_real)).
% 115.15/113.95  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_152),A_152)),zero_zero_int)).
% 115.15/113.95  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Aa),C)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Ba),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,C),zero_zero_rat)).
% 115.15/113.95  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Aa),C)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Ba),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,Ba),Aa)).
% 115.15/113.95  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Aa),C)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Ba),C)))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Aa),Ba))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,C),zero_zero_rat)).
% 115.15/113.95  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Aa),C)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Ba),C)))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Aa),Ba))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Ba),Aa)).
% 115.15/113.95  0 [] hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Aa),C)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Ba),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,Aa),Ba)).
% 115.15/113.95  0 [] hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Aa),C)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Ba),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,Ba),Aa)).
% 115.15/113.95  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Aa),C)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Ba),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,C),zero_zero_real)).
% 115.15/113.95  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Aa),C)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Ba),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,Ba),Aa)).
% 115.15/113.95  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Aa),C)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Ba),C)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C),zero_zero_real)).
% 115.15/113.95  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Aa),C)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Ba),C)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Ba),Aa)).
% 115.15/113.95  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Aa),C)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Ba),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,Aa),Ba)).
% 115.15/113.95  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Aa),C)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Ba),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,Ba),Aa)).
% 115.15/113.95  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Aa),C)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Ba),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,C),zero_zero_int)).
% 115.15/113.95  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Aa),C)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Ba),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,Ba),Aa)).
% 115.15/113.95  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Aa),C)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Ba),C)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),Ba))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),zero_zero_int)).
% 115.15/113.95  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Aa),C)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Ba),C)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),Ba))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Ba),Aa)).
% 115.15/113.95  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Aa),C)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Ba),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,Aa),Ba)).
% 115.15/113.95  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Aa),C)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Ba),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,Ba),Aa)).
% 115.15/113.95  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C),Aa)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C),Ba)))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),C))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,C),zero_zero_rat)).
% 115.15/113.95  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C),Aa)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C),Ba)))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),C))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Ba),Aa)).
% 115.15/113.95  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C),Aa)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C),Ba)))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Aa),Ba))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,C),zero_zero_rat)).
% 115.15/113.95  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C),Aa)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C),Ba)))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Aa),Ba))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Ba),Aa)).
% 115.15/113.95  0 [] hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C),Aa)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C),Ba)))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),C))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Aa),Ba)).
% 115.15/113.95  0 [] hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C),Aa)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C),Ba)))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,C),zero_zero_rat))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Ba),Aa)).
% 115.15/113.95  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C),Aa)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C),Ba)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),C))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C),zero_zero_real)).
% 115.15/113.95  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C),Aa)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C),Ba)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),C))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Ba),Aa)).
% 115.15/113.95  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C),Aa)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C),Ba)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C),zero_zero_real)).
% 115.15/113.95  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C),Aa)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C),Ba)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Ba),Aa)).
% 115.15/113.95  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C),Aa)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C),Ba)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),C))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba)).
% 115.15/113.95  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C),Aa)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C),Ba)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Ba),Aa)).
% 115.15/113.95  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),Aa)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),Ba)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),zero_zero_int)).
% 115.15/113.95  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),Aa)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),Ba)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Ba),Aa)).
% 115.15/113.95  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),Aa)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),Ba)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),Ba))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),zero_zero_int)).
% 115.15/113.95  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),Aa)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),Ba)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),Ba))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Ba),Aa)).
% 115.15/113.95  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),Aa)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),Ba)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),Ba)).
% 115.15/113.95  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),Aa)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),Ba)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Ba),Aa)).
% 115.15/113.95  0 [] -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),Aa)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C),Ba)))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Aa),Ba)).
% 115.15/113.95  0 [] -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),Aa)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C),Ba)))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Aa),Ba)).
% 115.15/113.95  0 [] -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),Aa)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C),Ba)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba)).
% 115.15/113.95  0 [] -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),Aa)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C),Ba)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba)).
% 115.15/113.95  0 [] -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),Aa)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),Ba)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),Ba)).
% 115.15/113.95  0 [] -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),Aa)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),Ba)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),Ba)).
% 115.15/113.95  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),A_151))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),B_121))|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_151),B_121))).
% 115.15/113.95  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),A_151))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),B_121))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_151),B_121))).
% 115.15/113.95  0 [] -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),A_151))| -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),B_121))|hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_151),B_121))).
% 115.15/113.95  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_151))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B_121))|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_151),B_121))).
% 115.15/113.95  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_151))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),B_121))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_151),B_121))).
% 115.15/113.95  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_151))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_121))|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_151),B_121))).
% 115.15/113.96  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),A_150))| -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(times_times_rat,A_150),B_120)),zero_zero_rat)).
% 115.15/113.96  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),A_150))| -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(times_123202395de_int,A_150),B_120)),zero_z891286103de_int)).
% 115.15/113.96  0 [] -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),A_150))| -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(times_1655362735umeral,A_150),B_120)),zero_z126310315umeral)).
% 115.15/113.96  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_150))| -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(times_times_nat,A_150),B_120)),zero_zero_nat)).
% 115.15/113.96  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_150))| -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(times_times_real,A_150),B_120)),zero_zero_real)).
% 115.15/113.96  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_150))| -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(times_times_int,A_150),B_120)),zero_zero_int)).
% 115.15/113.96  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),A_149))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,B_119),zero_zero_rat))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_119),A_149)),zero_zero_rat)).
% 115.15/113.96  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),A_149))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,B_119),zero_z891286103de_int))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_119),A_149)),zero_z891286103de_int)).
% 115.15/113.96  0 [] -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),A_149))| -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,B_119),zero_z126310315umeral))|hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_119),A_149)),zero_z126310315umeral)).
% 115.15/113.96  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_149))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_119),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_119),A_149)),zero_zero_nat)).
% 115.15/113.96  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_149))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_119),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_119),A_149)),zero_zero_real)).
% 115.15/113.96  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_149))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_119),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_119),A_149)),zero_zero_int)).
% 115.15/113.96  0 [] -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_148),B_118)))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),A_148))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),B_118)).
% 115.15/113.96  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_148),B_118)))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),A_148))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),B_118)).
% 115.15/113.96  0 [] -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_148),B_118)))| -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),A_148))|hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),B_118)).
% 115.15/113.96  0 [] -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_148),B_118)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_148))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B_118)).
% 115.15/113.96  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_148),B_118)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_148))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),B_118)).
% 115.15/113.96  0 [] -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_148),B_118)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_148))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_118)).
% 115.15/113.96  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_117),A_147)))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),A_147))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),B_117)).
% 115.15/113.96  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_117),A_147)))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),A_147))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),B_117)).
% 115.15/113.96  0 [] -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_117),A_147)))| -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),A_147))|hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),B_117)).
% 115.15/113.96  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_117),A_147)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_147))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B_117)).
% 115.15/113.96  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_117),A_147)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_147))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),B_117)).
% 115.15/113.96  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_117),A_147)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_147))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_117)).
% 115.15/113.96  0 [] -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),Aa)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C),Ba)))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Ba),Aa)).
% 115.15/113.96  0 [] -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),Aa)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C),Ba)))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Ba),Aa)).
% 115.15/113.96  0 [] -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),Aa)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C),Ba)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Ba),Aa)).
% 115.15/113.96  0 [] -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),Aa)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C),Ba)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Ba),Aa)).
% 115.15/113.96  0 [] -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),Aa)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),Ba)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Ba),Aa)).
% 115.15/113.96  0 [] -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),Aa)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),Ba)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Ba),Aa)).
% 115.15/113.96  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_146),zero_zero_rat))| -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,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_146),B_116)),zero_zero_rat)).
% 115.15/113.96  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_146),zero_z891286103de_int))| -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,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_146),B_116)),zero_z891286103de_int)).
% 115.15/113.96  0 [] -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,A_146),zero_z126310315umeral))| -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),B_116))|hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_146),B_116)),zero_z126310315umeral)).
% 115.15/113.96  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_146),zero_zero_nat))| -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,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_146),B_116)),zero_zero_nat)).
% 115.15/113.96  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_146),zero_zero_real))| -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,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_146),B_116)),zero_zero_real)).
% 115.15/113.96  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_146),zero_zero_int))| -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,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_146),B_116)),zero_zero_int)).
% 115.15/113.96  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_145),zero_zero_rat))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,B_115),zero_zero_rat))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_145),B_115))).
% 115.18/113.96  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_145),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_115),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_145),B_115))).
% 115.18/113.96  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_145),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_115),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_145),B_115))).
% 115.18/113.96  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_144),B_114))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),C_56))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_144),C_56)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_114),C_56))).
% 115.18/113.96  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_144),B_114))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),C_56))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_144),C_56)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_114),C_56))).
% 115.18/113.96  0 [] -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,A_144),B_114))| -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),C_56))|hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_144),C_56)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_114),C_56))).
% 115.18/113.96  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_144),B_114))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),C_56))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_144),C_56)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_114),C_56))).
% 115.18/113.96  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_144),B_114))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),C_56))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_144),C_56)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_114),C_56))).
% 115.18/113.96  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_144),B_114))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_56))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_144),C_56)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_114),C_56))).
% 115.18/113.96  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_143),B_113))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),C_55))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C_55),A_143)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C_55),B_113))).
% 115.18/113.96  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_143),B_113))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),C_55))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_55),A_143)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_55),B_113))).
% 115.18/113.96  0 [] -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,A_143),B_113))| -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),C_55))|hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_55),A_143)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_55),B_113))).
% 115.18/113.96  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_143),B_113))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),C_55))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_55),A_143)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_55),B_113))).
% 115.18/113.96  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_143),B_113))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),C_55))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C_55),A_143)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C_55),B_113))).
% 115.18/113.96  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_143),B_113))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_55))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_55),A_143)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_55),B_113))).
% 115.18/113.96  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_142),B_112))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),C_54))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C_54),A_142)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C_54),B_112))).
% 115.18/113.96  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_142),B_112))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),C_54))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_54),A_142)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_54),B_112))).
% 115.18/113.96  0 [] -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,A_142),B_112))| -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),C_54))|hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_54),A_142)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_54),B_112))).
% 115.18/113.96  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_142),B_112))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),C_54))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_54),A_142)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_54),B_112))).
% 115.18/113.96  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_142),B_112))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),C_54))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C_54),A_142)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C_54),B_112))).
% 115.18/113.96  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_142),B_112))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_54))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_54),A_142)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_54),B_112))).
% 115.18/113.96  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,B_111),A_141))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,C_53),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_141),C_53)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_111),C_53))).
% 115.18/113.96  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_111),A_141))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_53),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_141),C_53)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_111),C_53))).
% 115.18/113.96  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_111),A_141))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_53),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_141),C_53)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_111),C_53))).
% 115.18/113.96  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,B_110),A_140))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,C_52),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_52),A_140)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C_52),B_110))).
% 115.18/113.96  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_110),A_140))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_52),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C_52),A_140)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C_52),B_110))).
% 115.18/113.96  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_110),A_140))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_52),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_52),A_140)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_52),B_110))).
% 115.18/113.96  0 [] -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,Aa),Aa)))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),Aa)).
% 115.18/113.96  0 [] 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,Aa),Aa)))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),Aa)).
% 115.18/113.96  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Aa),Aa)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Aa)).
% 115.18/113.96  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Aa),Aa)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Aa)).
% 115.18/113.96  0 [] -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,Aa),Aa)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Aa)).
% 115.18/113.96  0 [] 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,Aa),Aa)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Aa)).
% 115.18/113.96  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,Aa),Aa)),zero_zero_rat))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Aa),zero_zero_rat)).
% 115.18/113.96  0 [] hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,Aa),Aa)),zero_zero_rat))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Aa),zero_zero_rat)).
% 115.18/113.96  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Aa),Aa)),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),zero_zero_real)).
% 115.18/113.96  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Aa),Aa)),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),zero_zero_real)).
% 115.18/113.96  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Aa),Aa)),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),zero_zero_int)).
% 115.18/113.96  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Aa),Aa)),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),zero_zero_int)).
% 115.18/113.96  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),A_139))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),B_109))|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_139),B_109))).
% 115.18/113.96  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),A_139))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),B_109))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_139),B_109))).
% 115.18/113.96  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_139))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B_109))|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_139),B_109))).
% 115.18/113.96  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_139))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B_109))|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_139),B_109))).
% 115.18/113.96  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_139))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_109))|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_139),B_109))).
% 115.18/113.96  0 [] -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),A_139))| -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),B_109))|hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_139),B_109))).
% 115.18/113.96  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),X_1))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),Y_2))|hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,X_1),Y_2)!=zero_zero_rat|X_1=zero_zero_rat.
% 115.18/113.96  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),X_1))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),Y_2))|hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,X_1),Y_2)!=zero_zero_rat|Y_2=zero_zero_rat.
% 115.18/113.96  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),X_1))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),Y_2))|hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,X_1),Y_2)=zero_zero_rat|X_1!=zero_zero_rat|Y_2!=zero_zero_rat.
% 115.18/113.96  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),X_1))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),Y_2))|hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,X_1),Y_2)!=zero_z891286103de_int|X_1=zero_z891286103de_int.
% 115.18/113.96  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),X_1))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),Y_2))|hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,X_1),Y_2)!=zero_z891286103de_int|Y_2=zero_z891286103de_int.
% 115.18/113.96  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),X_1))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),Y_2))|hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,X_1),Y_2)=zero_z891286103de_int|X_1!=zero_z891286103de_int|Y_2!=zero_z891286103de_int.
% 115.18/113.96  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),X_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),Y_2))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X_1),Y_2)!=zero_zero_nat|X_1=zero_zero_nat.
% 115.18/113.96  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),X_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),Y_2))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X_1),Y_2)!=zero_zero_nat|Y_2=zero_zero_nat.
% 115.18/113.96  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),X_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),Y_2))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X_1),Y_2)=zero_zero_nat|X_1!=zero_zero_nat|Y_2!=zero_zero_nat.
% 115.18/113.96  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Y_2))|hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_1),Y_2)!=zero_zero_real|X_1=zero_zero_real.
% 115.18/113.96  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Y_2))|hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_1),Y_2)!=zero_zero_real|Y_2=zero_zero_real.
% 115.18/113.96  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Y_2))|hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_1),Y_2)=zero_zero_real|X_1!=zero_zero_real|Y_2!=zero_zero_real.
% 115.18/113.96  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y_2))|hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_1),Y_2)!=zero_zero_int|X_1=zero_zero_int.
% 115.18/113.96  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y_2))|hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_1),Y_2)!=zero_zero_int|Y_2=zero_zero_int.
% 115.18/113.96  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y_2))|hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_1),Y_2)=zero_zero_int|X_1!=zero_zero_int|Y_2!=zero_zero_int.
% 115.18/113.96  0 [] -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),X_1))| -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),Y_2))|hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,X_1),Y_2)!=zero_z126310315umeral|X_1=zero_z126310315umeral.
% 115.18/113.96  0 [] -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),X_1))| -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),Y_2))|hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,X_1),Y_2)!=zero_z126310315umeral|Y_2=zero_z126310315umeral.
% 115.18/113.96  0 [] -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),X_1))| -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),Y_2))|hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,X_1),Y_2)=zero_z126310315umeral|X_1!=zero_z126310315umeral|Y_2!=zero_z126310315umeral.
% 115.18/113.96  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),A_138))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,B_108),C_51))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,B_108),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_138),C_51))).
% 115.18/113.96  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),A_138))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,B_108),C_51))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,B_108),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_138),C_51))).
% 115.18/113.96  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_138))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_108),C_51))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_108),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_138),C_51))).
% 115.18/113.97  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_138))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_108),C_51))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_108),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_138),C_51))).
% 115.18/113.97  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_138))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_108),C_51))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_108),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_138),C_51))).
% 115.18/113.97  0 [] -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),A_138))| -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,B_108),C_51))|hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,B_108),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_138),C_51))).
% 115.18/113.97  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),C_50))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,B_107),A_137))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,B_107),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_137),C_50))).
% 115.18/113.97  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),C_50))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,B_107),A_137))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,B_107),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_137),C_50))).
% 115.18/113.97  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_50))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_107),A_137))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_107),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_137),C_50))).
% 115.18/113.97  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C_50))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_107),A_137))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_107),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_137),C_50))).
% 115.18/113.97  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_50))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_107),A_137))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_107),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_137),C_50))).
% 115.18/113.97  0 [] -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),C_50))| -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,B_107),A_137))|hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,B_107),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_137),C_50))).
% 115.18/113.97  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_136),zero_zero_rat))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,B_106),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_136),B_106)),zero_zero_rat)).
% 115.18/113.97  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_136),zero_z891286103de_int))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,B_106),zero_z891286103de_int))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_136),B_106)),zero_z891286103de_int)).
% 115.18/113.97  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_136),zero_zero_nat))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_106),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_136),B_106)),zero_zero_nat)).
% 115.18/113.97  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_136),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_106),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_136),B_106)),zero_zero_real)).
% 115.18/113.97  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_136),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_106),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_136),B_106)),zero_zero_int)).
% 115.18/113.97  0 [] -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,A_136),zero_z126310315umeral))| -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,B_106),zero_z126310315umeral))|hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_136),B_106)),zero_z126310315umeral)).
% 115.18/113.97  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,Aa),Aa)))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),Aa)).
% 115.18/113.97  0 [] hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,Aa),Aa)))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),Aa)).
% 115.18/113.97  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Aa),Aa)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Aa)).
% 115.18/113.97  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Aa),Aa)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Aa)).
% 115.18/113.97  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Aa),Aa)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Aa)).
% 115.18/113.97  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Aa),Aa)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Aa)).
% 115.18/113.97  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,Aa),Aa)),zero_zero_rat))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Aa),zero_zero_rat)).
% 115.18/113.97  0 [] hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,Aa),Aa)),zero_zero_rat))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Aa),zero_zero_rat)).
% 115.18/113.97  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Aa),Aa)),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),zero_zero_real)).
% 115.18/113.97  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Aa),Aa)),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),zero_zero_real)).
% 115.18/113.97  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Aa),Aa)),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),zero_zero_int)).
% 115.18/113.97  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Aa),Aa)),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),zero_zero_int)).
% 115.18/113.97  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,Aa),Aa)),zero_zero_rat))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Aa),zero_zero_rat)).
% 115.18/113.97  0 [] hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,Aa),Aa)),zero_zero_rat))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Aa),zero_zero_rat)).
% 115.18/113.97  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Aa),Aa)),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),zero_zero_real)).
% 115.18/113.97  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Aa),Aa)),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),zero_zero_real)).
% 115.18/113.97  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Aa),Aa)),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),zero_zero_int)).
% 115.18/113.97  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Aa),Aa)),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),zero_zero_int)).
% 115.18/113.97  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),A_135))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),B_105))|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_135),B_105))).
% 115.18/113.97  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),A_135))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),B_105))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_135),B_105))).
% 115.18/113.97  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_135))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B_105))|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_135),B_105))).
% 115.18/113.97  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_135))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),B_105))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_135),B_105))).
% 115.18/113.97  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_135))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_105))|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_135),B_105))).
% 115.18/113.97  0 [] -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),A_135))| -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),B_105))|hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_135),B_105))).
% 115.18/113.97  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),A_134))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,B_104),C_49))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,B_104),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_134),C_49))).
% 115.18/113.97  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),A_134))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,B_104),C_49))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,B_104),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_134),C_49))).
% 115.18/113.97  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_134))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_104),C_49))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_104),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_134),C_49))).
% 115.18/113.97  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_134))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_104),C_49))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_104),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_134),C_49))).
% 115.18/113.97  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_134))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_104),C_49))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_104),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_134),C_49))).
% 115.18/113.97  0 [] -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),A_134))| -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,B_104),C_49))|hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,B_104),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_134),C_49))).
% 115.18/113.97  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_133),zero_zero_rat))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,B_103),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_133),B_103)),zero_zero_rat)).
% 115.18/113.97  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_133),zero_z891286103de_int))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,B_103),zero_z891286103de_int))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_133),B_103)),zero_z891286103de_int)).
% 115.18/113.97  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_133),zero_zero_nat))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_103),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_133),B_103)),zero_zero_nat)).
% 115.18/113.97  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_133),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_103),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_133),B_103)),zero_zero_real)).
% 115.18/113.97  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_133),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_103),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_133),B_103)),zero_zero_int)).
% 115.18/113.97  0 [] -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,A_133),zero_z126310315umeral))| -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,B_103),zero_z126310315umeral))|hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_133),B_103)),zero_z126310315umeral)).
% 115.18/113.97  0 [] hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),one_one_rat)).
% 115.18/113.97  0 [] hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),one_on1684967323de_int)).
% 115.18/113.97  0 [] hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),one_on1645066479umeral)).
% 115.18/113.97  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),one_one_nat)).
% 115.18/113.97  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),one_one_real)).
% 115.18/113.97  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),one_one_int)).
% 115.18/113.97  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,one_one_rat),zero_zero_rat)).
% 115.18/113.97  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,one_on1684967323de_int),zero_z891286103de_int)).
% 115.18/113.97  0 [] -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,one_on1645066479umeral),zero_z126310315umeral)).
% 115.18/113.97  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,one_one_nat),zero_zero_nat)).
% 115.18/113.97  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),zero_zero_real)).
% 115.18/113.97  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),zero_zero_int)).
% 115.18/113.97  0 [] hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),one_one_rat)).
% 115.18/113.97  0 [] hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),one_on1684967323de_int)).
% 115.18/113.97  0 [] hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),one_on1645066479umeral)).
% 115.18/113.97  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),one_one_nat)).
% 115.18/113.97  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),one_one_real)).
% 115.18/113.97  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),one_one_int)).
% 115.18/113.97  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,one_one_rat),zero_zero_rat)).
% 115.18/113.97  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,one_on1684967323de_int),zero_z891286103de_int)).
% 115.18/113.97  0 [] -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,one_on1645066479umeral),zero_z126310315umeral)).
% 115.18/113.97  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),zero_zero_nat)).
% 115.18/113.97  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),zero_zero_real)).
% 115.18/113.97  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),zero_zero_int)).
% 115.18/113.97  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Aa),Ba))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,Aa),Ba)),zero_zero_rat)).
% 115.18/113.97  0 [] hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Aa),Ba))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,Aa),Ba)),zero_zero_rat)).
% 115.18/113.97  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Aa),Ba)),zero_zero_real)).
% 115.18/113.97  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Aa),Ba)),zero_zero_real)).
% 115.18/113.97  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),Ba))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Aa),Ba)),zero_zero_int)).
% 115.18/113.97  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),Ba))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Aa),Ba)),zero_zero_int)).
% 115.18/113.97  0 [] R_7=zero_zero_rat|A_132!=B_102|C_48=D_11|hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_132),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,R_7),C_48))!=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,B_102),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,R_7),D_11)).
% 115.18/113.97  0 [] R_7=zero_zero_complex|A_132!=B_102|C_48=D_11|hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_132),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,R_7),C_48))!=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,B_102),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,R_7),D_11)).
% 115.18/113.97  0 [] R_7=zero_zero_nat|A_132!=B_102|C_48=D_11|hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_132),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,R_7),C_48))!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_102),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,R_7),D_11)).
% 115.18/113.97  0 [] R_7=zero_zero_real|A_132!=B_102|C_48=D_11|hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_132),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,R_7),C_48))!=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B_102),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,R_7),D_11)).
% 115.18/113.97  0 [] R_7=zero_zero_int|A_132!=B_102|C_48=D_11|hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_132),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,R_7),C_48))!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_102),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,R_7),D_11)).
% 115.18/113.97  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Aa),Ba))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,Aa),Ba)),zero_zero_rat)).
% 115.18/113.97  0 [] hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Aa),Ba))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,Aa),Ba)),zero_zero_rat)).
% 115.18/113.97  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Aa),Ba)),zero_zero_real)).
% 115.18/113.97  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Aa),Ba)),zero_zero_real)).
% 115.18/113.97  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),Ba))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Aa),Ba)),zero_zero_int)).
% 115.18/113.97  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),Ba))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Aa),Ba)),zero_zero_int)).
% 115.18/113.97  0 [] -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_2))|X=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_2),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_2),one_one_int))).
% 115.18/113.97  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),one_one_int)).
% 115.18/113.97  0 [] -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))).
% 115.18/113.97  0 [] 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.
% 115.18/113.97  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),L))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,K_1),L)),zero_zero_int)).
% 115.18/113.97  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),L))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,K_1),L)),zero_zero_int)).
% 115.18/113.97  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),archim1419379755ng_rat(X_1)))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,one_one_rat),X_1)).
% 115.18/113.97  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),archim1419379755ng_rat(X_1)))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,one_one_rat),X_1)).
% 115.18/113.97  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),archim856651990g_real(X_1)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),X_1)).
% 115.18/113.97  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),archim856651990g_real(X_1)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),X_1)).
% 115.18/113.97  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,archim1419379755ng_rat(X_1)),one_one_int))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_1),one_one_rat)).
% 115.18/113.97  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,archim1419379755ng_rat(X_1)),one_one_int))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_1),one_one_rat)).
% 115.18/113.97  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,archim856651990g_real(X_1)),one_one_int))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),one_one_real)).
% 115.18/113.97  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,archim856651990g_real(X_1)),one_one_int))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),one_one_real)).
% 115.18/113.97  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,V)),archim1419379755ng_rat(X_1)))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_int_rat(number_number_of_rat,V)),X_1)).
% 115.18/113.97  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,V)),archim1419379755ng_rat(X_1)))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_int_rat(number_number_of_rat,V)),X_1)).
% 115.18/113.97  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,V)),archim856651990g_real(X_1)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(number267125858f_real,V)),X_1)).
% 115.18/113.97  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,V)),archim856651990g_real(X_1)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(number267125858f_real,V)),X_1)).
% 115.18/113.97  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,archim856651990g_real(X_1)),hAPP_int_int(number_number_of_int,V)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),hAPP_int_real(number267125858f_real,V))).
% 115.18/113.97  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,archim856651990g_real(X_1)),hAPP_int_int(number_number_of_int,V)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),hAPP_int_real(number267125858f_real,V))).
% 115.18/113.97  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,archim1419379755ng_rat(X_1)),hAPP_int_int(number_number_of_int,V)))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_1),hAPP_int_rat(number_number_of_rat,V))).
% 115.18/113.97  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,archim1419379755ng_rat(X_1)),hAPP_int_int(number_number_of_int,V)))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_1),hAPP_int_rat(number_number_of_rat,V))).
% 115.18/113.97  0 [] archim1419379755ng_rat(hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,X_33),one_one_rat))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,archim1419379755ng_rat(X_33)),one_one_int).
% 115.18/113.97  0 [] archim856651990g_real(hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_33),one_one_real))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,archim856651990g_real(X_33)),one_one_int).
% 115.18/113.97  0 [] archim1419379755ng_rat(hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,X_32),hAPP_int_rat(number_number_of_rat,V_11)))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,archim1419379755ng_rat(X_32)),hAPP_int_int(number_number_of_int,V_11)).
% 115.18/113.97  0 [] archim856651990g_real(hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_32),hAPP_int_real(number267125858f_real,V_11)))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,archim856651990g_real(X_32)),hAPP_int_int(number_number_of_int,V_11)).
% 115.18/113.97  0 [] archim1419379755ng_rat(hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,X_31),one_one_rat))=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,archim1419379755ng_rat(X_31)),one_one_int).
% 115.18/113.97  0 [] archim856651990g_real(hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X_31),one_one_real))=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,archim856651990g_real(X_31)),one_one_int).
% 115.18/113.97  0 [] archim1419379755ng_rat(hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,X_30),hAPP_int_rat(number_number_of_rat,V_10)))=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,archim1419379755ng_rat(X_30)),hAPP_int_int(number_number_of_int,V_10)).
% 115.18/113.97  0 [] archim856651990g_real(hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X_30),hAPP_int_real(number267125858f_real,V_10)))=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,archim856651990g_real(X_30)),hAPP_int_int(number_number_of_int,V_10)).
% 115.18/113.97  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C_47),A_131)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C_47),B_101)))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),C_47))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_131),B_101)).
% 115.18/113.97  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_47),A_131)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_47),B_101)))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),C_47))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_131),B_101)).
% 115.18/113.97  0 [] -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_47),A_131)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_47),B_101)))| -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),C_47))|hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,A_131),B_101)).
% 115.18/113.97  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_47),A_131)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_47),B_101)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),C_47))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_131),B_101)).
% 115.18/113.97  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C_47),A_131)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C_47),B_101)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),C_47))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_131),B_101)).
% 115.18/113.97  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_47),A_131)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_47),B_101)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_47))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_131),B_101)).
% 115.18/113.97  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_130),C_46)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_100),C_46)))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),C_46))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_130),B_100)).
% 115.18/113.97  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_130),C_46)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_100),C_46)))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),C_46))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_130),B_100)).
% 115.18/113.97  0 [] -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_130),C_46)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_100),C_46)))| -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),C_46))|hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,A_130),B_100)).
% 115.18/113.97  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_130),C_46)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_100),C_46)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),C_46))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_130),B_100)).
% 115.18/113.97  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_130),C_46)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_100),C_46)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),C_46))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_130),B_100)).
% 115.18/113.97  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_130),C_46)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_100),C_46)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_46))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_130),B_100)).
% 115.18/113.97  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C_45),A_129)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C_45),B_99)))| -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_rat,A_129),B_99)).
% 115.18/113.97  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_45),A_129)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_45),B_99)))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),C_45))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_129),B_99)).
% 115.18/113.97  0 [] -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_45),A_129)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_45),B_99)))| -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),C_45))|hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,A_129),B_99)).
% 115.18/113.97  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_45),A_129)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_45),B_99)))| -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_nat,A_129),B_99)).
% 115.18/113.97  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C_45),A_129)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C_45),B_99)))| -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_real,A_129),B_99)).
% 115.18/113.97  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_45),A_129)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_45),B_99)))| -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_int,A_129),B_99)).
% 115.18/113.97  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C_44),A_128)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C_44),B_98)))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),C_44))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_128),B_98)).
% 115.18/113.97  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_44),A_128)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_44),B_98)))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),C_44))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_128),B_98)).
% 115.18/113.97  0 [] -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_44),A_128)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_44),B_98)))| -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),C_44))|hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,A_128),B_98)).
% 115.18/113.97  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_44),A_128)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_44),B_98)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_44))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_128),B_98)).
% 115.18/113.97  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C_44),A_128)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C_44),B_98)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C_44))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_128),B_98)).
% 115.18/113.97  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_44),A_128)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_44),B_98)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_44))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_128),B_98)).
% 115.18/113.98  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_127),C_43)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_97),C_43)))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),C_43))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_127),B_97)).
% 115.18/113.98  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_127),C_43)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_97),C_43)))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),C_43))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_127),B_97)).
% 115.18/113.98  0 [] -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_127),C_43)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_97),C_43)))| -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),C_43))|hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,A_127),B_97)).
% 115.18/113.98  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_127),C_43)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_97),C_43)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_43))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_127),B_97)).
% 115.18/113.98  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_127),C_43)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_97),C_43)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C_43))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_127),B_97)).
% 115.18/113.98  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_127),C_43)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_97),C_43)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_43))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_127),B_97)).
% 115.18/113.98  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_126),C_42)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_96),C_42)))| -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_rat,A_126),B_96)).
% 115.18/113.98  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_126),C_42)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_96),C_42)))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),C_42))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_126),B_96)).
% 115.18/113.98  0 [] -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_126),C_42)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_96),C_42)))| -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),C_42))|hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,A_126),B_96)).
% 115.18/113.98  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_126),C_42)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_96),C_42)))| -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_nat,A_126),B_96)).
% 115.18/113.98  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_126),C_42)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_96),C_42)))| -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_real,A_126),B_96)).
% 115.18/113.98  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_126),C_42)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_96),C_42)))| -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_int,A_126),B_96)).
% 115.18/113.98  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_125),B_95))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,C_41),D_10))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),A_125))| -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_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_125),C_41)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_95),D_10))).
% 115.18/113.98  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_125),B_95))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,C_41),D_10))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),A_125))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),C_41))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_125),C_41)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_95),D_10))).
% 115.18/113.98  0 [] -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,A_125),B_95))| -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,C_41),D_10))| -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),A_125))| -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),C_41))|hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_125),C_41)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_95),D_10))).
% 115.18/113.98  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_125),B_95))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_41),D_10))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_125))| -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_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_125),C_41)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_95),D_10))).
% 115.18/113.98  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_125),B_95))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_41),D_10))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_125))| -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_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_125),C_41)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_95),D_10))).
% 115.18/113.98  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_125),B_95))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_41),D_10))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_125))| -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_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_125),C_41)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_95),D_10))).
% 115.18/113.98  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_124),B_94))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,C_40),D_9))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),A_124))| -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_124),C_40)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_94),D_9))).
% 115.18/113.98  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_124),B_94))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,C_40),D_9))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),A_124))| -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_124),C_40)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_94),D_9))).
% 115.18/113.98  0 [] -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,A_124),B_94))| -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,C_40),D_9))| -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),A_124))| -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_124),C_40)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_94),D_9))).
% 115.18/113.98  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_124),B_94))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_40),D_9))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_124))| -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_124),C_40)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_94),D_9))).
% 115.18/113.98  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_124),B_94))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_40),D_9))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_124))| -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_124),C_40)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_94),D_9))).
% 115.18/113.98  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_124),B_94))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_40),D_9))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_124))| -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_124),C_40)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_94),D_9))).
% 115.18/113.98  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_123),B_93))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,C_39),D_8))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),A_123))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_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,A_123),C_39)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_93),D_8))).
% 115.18/113.98  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_123),B_93))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,C_39),D_8))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),A_123))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_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,A_123),C_39)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_93),D_8))).
% 115.18/113.98  0 [] -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,A_123),B_93))| -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,C_39),D_8))| -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),A_123))| -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),C_39))|hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_123),C_39)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_93),D_8))).
% 115.18/113.98  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_123),B_93))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_39),D_8))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_123))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_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,A_123),C_39)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_93),D_8))).
% 115.18/113.98  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_123),B_93))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_39),D_8))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_123))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_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,A_123),C_39)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_93),D_8))).
% 115.18/113.98  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_123),B_93))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_39),D_8))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_123))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_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,A_123),C_39)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_93),D_8))).
% 115.18/113.98  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_122),B_92))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,C_38),D_7))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),B_92))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_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,A_122),C_38)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_92),D_7))).
% 115.18/113.98  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_122),B_92))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,C_38),D_7))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),B_92))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_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,A_122),C_38)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_92),D_7))).
% 115.18/113.98  0 [] -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,A_122),B_92))| -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,C_38),D_7))| -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),B_92))| -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),C_38))|hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_122),C_38)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_92),D_7))).
% 115.18/113.98  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_122),B_92))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_38),D_7))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B_92))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_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,A_122),C_38)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_92),D_7))).
% 115.18/113.98  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_122),B_92))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_38),D_7))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),B_92))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_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,A_122),C_38)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_92),D_7))).
% 115.18/113.98  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_122),B_92))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_38),D_7))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_92))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_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,A_122),C_38)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_92),D_7))).
% 115.18/113.98  0 [] -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),Aa)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C),Ba)))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Ba),Aa)).
% 115.18/113.98  0 [] -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),Aa)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C),Ba)))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Ba),Aa)).
% 115.18/113.98  0 [] -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),Aa)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C),Ba)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Ba),Aa)).
% 115.18/113.98  0 [] -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),Aa)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C),Ba)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Ba),Aa)).
% 115.18/113.98  0 [] -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),Aa)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),Ba)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Ba),Aa)).
% 115.18/113.98  0 [] -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),Aa)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),Ba)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Ba),Aa)).
% 115.18/113.98  0 [] -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),Aa)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C),Ba)))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Aa),Ba)).
% 115.18/113.98  0 [] -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),Aa)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C),Ba)))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Aa),Ba)).
% 115.18/113.98  0 [] -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),Aa)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C),Ba)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba)).
% 115.18/113.98  0 [] -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),Aa)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C),Ba)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba)).
% 115.18/113.98  0 [] -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),Aa)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),Ba)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),Ba)).
% 115.18/113.98  0 [] -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),Aa)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),Ba)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),Ba)).
% 115.18/113.98  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_121),zero_zero_rat))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,B_91),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_121),B_91)),zero_zero_rat)).
% 115.18/113.98  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_121),zero_z891286103de_int))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,B_91),zero_z891286103de_int))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_121),B_91)),zero_z891286103de_int)).
% 115.18/113.98  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_121),zero_zero_nat))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_91),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_121),B_91)),zero_zero_nat)).
% 115.18/113.98  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_121),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_91),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_121),B_91)),zero_zero_real)).
% 115.18/113.98  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_121),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_91),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_121),B_91)),zero_zero_int)).
% 115.18/113.98  0 [] -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,A_121),zero_z126310315umeral))| -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,B_91),zero_z126310315umeral))|hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_121),B_91)),zero_z126310315umeral)).
% 115.18/113.98  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_120),zero_zero_rat))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,B_90),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_120),B_90)),zero_zero_rat)).
% 115.18/113.98  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_120),zero_z891286103de_int))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,B_90),zero_z891286103de_int))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_120),B_90)),zero_z891286103de_int)).
% 115.18/113.98  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_120),zero_zero_nat))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_90),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_120),B_90)),zero_zero_nat)).
% 115.18/113.98  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_120),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_90),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_120),B_90)),zero_zero_real)).
% 115.18/113.98  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_120),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_90),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_120),B_90)),zero_zero_int)).
% 115.18/113.98  0 [] -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,A_120),zero_z126310315umeral))| -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,B_90),zero_z126310315umeral))|hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_120),B_90)),zero_z126310315umeral)).
% 115.18/113.98  0 [] -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_rat,B_89),C_37))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,B_89),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_119),C_37))).
% 115.18/113.98  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),A_119))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,B_89),C_37))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,B_89),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_119),C_37))).
% 115.18/113.98  0 [] -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_nat,B_89),C_37))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_89),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_119),C_37))).
% 115.18/113.98  0 [] -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_real,B_89),C_37))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_89),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_119),C_37))).
% 115.18/113.98  0 [] -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_int,B_89),C_37))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_89),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_119),C_37))).
% 115.18/113.98  0 [] -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),A_119))| -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,B_89),C_37))|hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,B_89),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_119),C_37))).
% 115.18/113.98  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),A_118))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,B_88),C_36))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,B_88),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_118),C_36))).
% 115.18/113.98  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),A_118))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,B_88),C_36))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,B_88),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_118),C_36))).
% 115.18/113.98  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_118))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_88),C_36))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_88),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_118),C_36))).
% 115.18/113.98  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_118))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_88),C_36))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_88),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_118),C_36))).
% 115.18/113.98  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_118))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_88),C_36))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_88),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_118),C_36))).
% 115.18/113.98  0 [] -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),A_118))| -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,B_88),C_36))|hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,B_88),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_118),C_36))).
% 115.18/113.98  0 [] -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_rat,zero_zero_rat),B_87))|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_117),B_87))).
% 115.18/113.98  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),A_117))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),B_87))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_117),B_87))).
% 115.18/113.98  0 [] -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_nat,zero_zero_nat),B_87))|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_117),B_87))).
% 115.18/113.98  0 [] -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_real,zero_zero_real),B_87))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_117),B_87))).
% 115.18/113.98  0 [] -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_int,zero_zero_int),B_87))|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_117),B_87))).
% 115.18/113.98  0 [] -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),A_117))| -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),B_87))|hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_117),B_87))).
% 115.18/113.98  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),A_116))| -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_rat,zero_zero_rat),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_116),B_86))).
% 115.18/113.98  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),A_116))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),B_86))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_116),B_86))).
% 115.18/113.98  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_116))| -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_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_116),B_86))).
% 115.18/113.98  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_116))| -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_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_116),B_86))).
% 115.18/113.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_116))| -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_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_116),B_86))).
% 115.18/113.99  0 [] -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),A_116))| -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),B_86))|hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_116),B_86))).
% 115.18/113.99  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),X_29))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),Y_20))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Y_20),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_20),X_29)),X_29)).
% 115.18/113.99  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_29))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Y_20))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_20),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_20),X_29)),X_29)).
% 115.18/113.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_29))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y_20))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_20),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_20),X_29)),X_29)).
% 115.18/113.99  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),X_28))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),Y_19))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Y_19),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_28),Y_19)),X_28)).
% 115.18/113.99  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_28))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Y_19))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_19),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_28),Y_19)),X_28)).
% 115.18/113.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_28))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y_19))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_19),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_28),Y_19)),X_28)).
% 115.18/113.99  0 [] 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))).
% 115.18/113.99  0 [] 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))).
% 115.18/113.99  0 [] hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,one_on1645066479umeral),one_on1645066479umeral))).
% 115.18/113.99  0 [] 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))).
% 115.18/113.99  0 [] 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))).
% 115.18/113.99  0 [] 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))).
% 115.18/113.99  0 [] -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)).
% 115.18/113.99  0 [] 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)).
% 115.18/113.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),M))|hAPP_int_int(hAPP_int_fun_int_int(times_times_int,M),N)!=one_one_int|M=one_one_int.
% 115.18/113.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),M))|hAPP_int_int(hAPP_int_fun_int_int(times_times_int,M),N)!=one_one_int|N=one_one_int.
% 115.18/113.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),M))|hAPP_int_int(hAPP_int_fun_int_int(times_times_int,M),N)=one_one_int|M!=one_one_int|N!=one_one_int.
% 115.18/113.99  0 [] -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)).
% 115.18/113.99  0 [] 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)).
% 115.18/113.99  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_27),A_115))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Y_18),A_115))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),U_2))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),V_9))|hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,U_2),V_9)!=one_one_rat|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,U_2),X_27)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,V_9),Y_18))),A_115)).
% 115.18/113.99  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_27),A_115))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_18),A_115))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),U_2))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),V_9))|hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,U_2),V_9)!=one_one_real|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,U_2),X_27)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,V_9),Y_18))),A_115)).
% 115.18/113.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_27),A_115))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_18),A_115))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),U_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),V_9))|hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,U_2),V_9)!=one_one_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,U_2),X_27)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,V_9),Y_18))),A_115)).
% 115.18/113.99  0 [] -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))).
% 115.18/113.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_2))|A_2!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,R_3),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_2),Q_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_3),A_2))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),Q_1)).
% 115.18/113.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_2))|A_2!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,R_3),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_2),Q_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),R_3))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Q_1),one_one_int)).
% 115.18/113.99  0 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_1),Q_1)),R_3)!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_4),Q_6)),R_5)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_4),Q_6)),R_5)),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_3),B_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),R_5))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_4))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_4),B_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Q_6),Q_1)).
% 115.18/113.99  0 [] -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_1),Q_6)),R_5)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_1),Q_1)),R_3)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,R_3),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_1),R_3))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_1),R_5))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Q_1),Q_6)).
% 115.18/113.99  0 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_1),Q_1)),R_3)!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_4),Q_6)),R_5)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_4),Q_6)),R_5)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_5),B_4))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),R_3))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_4))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_4),B_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Q_1),Q_6)).
% 115.18/113.99  0 [] -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_1),Q_6)),R_5)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_1),Q_1)),R_3)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),R_5))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_5),B_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_3),B_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Q_6),Q_1)).
% 115.18/113.99  0 [] -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_4),Q_6)),R_5)),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),R_5))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_4))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Q_6),zero_zero_int)).
% 115.18/113.99  0 [] -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_4),Q_6)),R_5)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_5),B_4))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_4))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Q_6)).
% 115.18/113.99  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,X_1),X_1)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Y_2),Y_2))))|X_1!=zero_zero_rat|Y_2!=zero_zero_rat.
% 115.18/113.99  0 [] hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,X_1),X_1)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Y_2),Y_2))))|X_1=zero_zero_rat.
% 115.18/113.99  0 [] hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,X_1),X_1)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Y_2),Y_2))))|Y_2=zero_zero_rat.
% 115.18/113.99  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_1),X_1)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Y_2),Y_2))))|X_1!=zero_zero_real|Y_2!=zero_zero_real.
% 115.18/113.99  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_1),X_1)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Y_2),Y_2))))|X_1=zero_zero_real.
% 115.18/113.99  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_1),X_1)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Y_2),Y_2))))|Y_2=zero_zero_real.
% 115.18/113.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_1),X_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Y_2),Y_2))))|X_1!=zero_zero_int|Y_2!=zero_zero_int.
% 115.18/113.99  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_1),X_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Y_2),Y_2))))|X_1=zero_zero_int.
% 115.18/113.99  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_1),X_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Y_2),Y_2))))|Y_2=zero_zero_int.
% 115.18/113.99  0 [] -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_26),X_26)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Y_17),Y_17))),zero_zero_rat)).
% 115.18/113.99  0 [] -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_26),X_26)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Y_17),Y_17))),zero_zero_real)).
% 115.18/113.99  0 [] -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_26),X_26)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Y_17),Y_17))),zero_zero_int)).
% 115.18/113.99  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,X_1),X_1)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Y_2),Y_2))),zero_zero_rat))|X_1=zero_zero_rat.
% 115.18/113.99  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,X_1),X_1)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Y_2),Y_2))),zero_zero_rat))|Y_2=zero_zero_rat.
% 115.18/113.99  0 [] hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,X_1),X_1)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Y_2),Y_2))),zero_zero_rat))|X_1!=zero_zero_rat|Y_2!=zero_zero_rat.
% 115.18/113.99  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_1),X_1)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Y_2),Y_2))),zero_zero_real))|X_1=zero_zero_real.
% 115.18/113.99  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_1),X_1)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Y_2),Y_2))),zero_zero_real))|Y_2=zero_zero_real.
% 115.18/113.99  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_1),X_1)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Y_2),Y_2))),zero_zero_real))|X_1!=zero_zero_real|Y_2!=zero_zero_real.
% 115.18/113.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_1),X_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Y_2),Y_2))),zero_zero_int))|X_1=zero_zero_int.
% 115.18/113.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_1),X_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Y_2),Y_2))),zero_zero_int))|Y_2=zero_zero_int.
% 115.18/113.99  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_1),X_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Y_2),Y_2))),zero_zero_int))|X_1!=zero_zero_int|Y_2!=zero_zero_int.
% 115.18/113.99  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,X_1),X_1)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Y_2),Y_2))!=zero_zero_rat|X_1=zero_zero_rat.
% 115.18/113.99  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,X_1),X_1)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Y_2),Y_2))!=zero_zero_rat|Y_2=zero_zero_rat.
% 115.18/113.99  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,X_1),X_1)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Y_2),Y_2))=zero_zero_rat|X_1!=zero_zero_rat|Y_2!=zero_zero_rat.
% 115.18/113.99  0 [] hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_1),X_1)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Y_2),Y_2))!=zero_zero_real|X_1=zero_zero_real.
% 115.18/113.99  0 [] hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_1),X_1)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Y_2),Y_2))!=zero_zero_real|Y_2=zero_zero_real.
% 115.18/113.99  0 [] hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_1),X_1)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Y_2),Y_2))=zero_zero_real|X_1!=zero_zero_real|Y_2!=zero_zero_real.
% 115.18/113.99  0 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_1),X_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Y_2),Y_2))!=zero_zero_int|X_1=zero_zero_int.
% 115.18/113.99  0 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_1),X_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Y_2),Y_2))!=zero_zero_int|Y_2=zero_zero_int.
% 115.18/113.99  0 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_1),X_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Y_2),Y_2))=zero_zero_int|X_1!=zero_zero_int|Y_2!=zero_zero_int.
% 115.18/113.99  0 [] 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_25),X_25)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Y_16),Y_16)))).
% 115.18/113.99  0 [] 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_25),X_25)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Y_16),Y_16)))).
% 115.18/113.99  0 [] 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_25),X_25)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Y_16),Y_16)))).
% 115.18/113.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),N_1))|xzgcd(M_1,N_1)!=hAPP_P408881810nt_int(hAPP_i1730167831nt_int(produc282740534nt_int,R_3),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,S_2),T_2))|R_3=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,S_2),M_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,T_2),N_1)).
% 115.18/113.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),R_3))|xzgcda(M_1,N_1,R_5,R_3,S_4,S_2,T_3,T_2)!=hAPP_P408881810nt_int(hAPP_i1730167831nt_int(produc282740534nt_int,Rn),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Sn_1),Tn_1))|R_5!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,S_4),M_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,T_3),N_1))|R_3!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,S_2),M_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,T_2),N_1))|Rn=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Sn_1),M_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Tn_1),N_1)).
% 115.18/113.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X),Y))).
% 115.18/113.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X),Y))).
% 115.18/113.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_2))| -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_2),B_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_1)).
% 115.18/113.99  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),one_one_int)).
% 115.18/113.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D))|hBOOL(hAPP_int_bool(P_1,$f126(K_1,P_1,D)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),K_1))| -hBOOL(hAPP_int_bool(P_1,X_2))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_2),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),D)))).
% 115.18/113.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f126(K_1,P_1,D)),D)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),K_1))| -hBOOL(hAPP_int_bool(P_1,X_2))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_2),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),D)))).
% 115.18/113.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D))|hBOOL(hAPP_int_bool(P_1,$f127(K_1,P_1,D)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),K_1))| -hBOOL(hAPP_int_bool(P_1,X_2))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_2),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),D)))).
% 115.18/113.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f127(K_1,P_1,D)),D)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),K_1))| -hBOOL(hAPP_int_bool(P_1,X_2))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_2),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),D)))).
% 115.18/113.99  0 [] hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),$f128(X_24,Y_15)))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_24),Y_15)).
% 115.18/113.99  0 [] hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,$f128(X_24,Y_15)),one_one_rat))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_24),Y_15)).
% 115.18/113.99  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,$f128(X_24,Y_15)),X_24)),Y_15))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_24),Y_15)).
% 115.18/113.99  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),$f129(X_24,Y_15)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_24),Y_15)).
% 115.18/113.99  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,$f129(X_24,Y_15)),one_one_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_24),Y_15)).
% 115.18/113.99  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,$f129(X_24,Y_15)),X_24)),Y_15))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_24),Y_15)).
% 115.18/113.99  0 [] A_2!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_1),Q_1)),R_3)|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,B_1),R_3))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,R_3),zero_zero_int))|hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A_2,B_1),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Q_1),R_3))).
% 115.18/113.99  0 [] A_2!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_1),Q_1)),R_3)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),R_3))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_3),B_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_1))|hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A_2,B_1),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Q_1),R_3))).
% 115.18/113.99  0 [] A_2!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_1),Q_1)),R_3)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),R_3))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_3),B_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_1),R_3))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,R_3),zero_zero_int))|hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A_2,B_1),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Q_1),R_3))).
% 115.18/113.99  0 [] xzgcd(M_1,N_1)=xzgcda(M_1,N_1,M_1,N_1,one_one_int,zero_zero_int,zero_zero_int,one_one_int).
% 115.18/113.99  0 [] B_1=zero_zero_int|hBOOL(hAPP_P603027463t_bool(divmod_int_rel(zero_zero_int,B_1),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,zero_zero_int),zero_zero_int))).
% 115.18/113.99  0 [] -hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A_2,A_2),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Q_1),R_3)))|A_2=zero_zero_int|R_3=zero_zero_int.
% 115.18/113.99  0 [] -hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A_2,B_1),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Q_1),R_3)))| -hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A_2,B_1),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Q_6),R_5)))|B_1=zero_zero_int|Q_1=Q_6.
% 115.18/113.99  0 [] -hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A_2,B_1),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Q_1),R_3)))| -hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A_2,B_1),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Q_6),R_5)))|B_1=zero_zero_int|R_3=R_5.
% 115.18/113.99  0 [] -hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A_2,A_2),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Q_1),R_3)))|A_2=zero_zero_int|Q_1=one_one_int.
% 115.18/113.99  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),zero_zero_int)).
% 115.18/113.99  0 [] hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),$f130(X_23,Y_14)))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_23),Y_14)).
% 115.18/113.99  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_23),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,Y_14),$f130(X_23,Y_14))))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_23),Y_14)).
% 115.18/113.99  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),$f131(X_23,Y_14)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_23),Y_14)).
% 115.18/113.99  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_23),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Y_14),$f131(X_23,Y_14))))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_23),Y_14)).
% 115.18/113.99  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_2),$f132(T_8)))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,T_8),X_2)).
% 115.18/113.99  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_2),$f133(T_8)))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,T_8),X_2)).
% 115.18/113.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_2),$f134(T_8)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,T_8),X_2)).
% 115.18/113.99  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_2),$f135(T_8)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,T_8),X_2)).
% 115.18/113.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_2),$f136(T_8)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,T_8),X_2)).
% 115.18/113.99  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,$f137(T_7)),X_2))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,T_7),X_2)).
% 115.18/113.99  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,$f138(T_7)),X_2))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,T_7),X_2)).
% 115.18/113.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f139(T_7)),X_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,T_7),X_2)).
% 115.18/113.99  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,$f140(T_7)),X_2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,T_7),X_2)).
% 115.18/113.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f141(T_7)),X_2))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,T_7),X_2)).
% 115.18/113.99  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_2),$f142(T_6)))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_2),T_6)).
% 115.18/113.99  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_2),$f143(T_6)))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,X_2),T_6)).
% 115.18/113.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_2),$f144(T_6)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_2),T_6)).
% 115.18/113.99  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_2),$f145(T_6)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_2),T_6)).
% 115.18/113.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_2),$f146(T_6)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_2),T_6)).
% 115.18/113.99  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,$f147(T_5)),X_2))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_2),T_5)).
% 115.18/113.99  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,$f148(T_5)),X_2))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,X_2),T_5)).
% 115.18/113.99  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f149(T_5)),X_2))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_2),T_5)).
% 115.18/113.99  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,$f150(T_5)),X_2))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_2),T_5)).
% 115.18/113.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f151(T_5)),X_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_2),T_5)).
% 115.18/113.99  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D))|hBOOL(hAPP_int_bool(P1,$f153(P_1,P1,D)))|hBOOL(hAPP_int_bool(P1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f153(P_1,P1,D)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f152(P_1,P1,D)),D))))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f154(P_1,P1,D,Z)),Z))| -hBOOL(hAPP_int_bool(P1,X1))|hBOOL(hAPP_int_bool(P_1,$f155(P_1,P1,D))).
% 115.18/114.00  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D))|hBOOL(hAPP_int_bool(P1,$f153(P_1,P1,D)))|hBOOL(hAPP_int_bool(P1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f153(P_1,P1,D)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f152(P_1,P1,D)),D))))|hBOOL(hAPP_int_bool(P_1,$f154(P_1,P1,D,Z)))|hBOOL(hAPP_int_bool(P1,$f154(P_1,P1,D,Z)))| -hBOOL(hAPP_int_bool(P1,X1))|hBOOL(hAPP_int_bool(P_1,$f155(P_1,P1,D))).
% 115.18/114.00  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D))|hBOOL(hAPP_int_bool(P1,$f153(P_1,P1,D)))|hBOOL(hAPP_int_bool(P1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f153(P_1,P1,D)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f152(P_1,P1,D)),D))))| -hBOOL(hAPP_int_bool(P_1,$f154(P_1,P1,D,Z)))| -hBOOL(hAPP_int_bool(P1,$f154(P_1,P1,D,Z)))| -hBOOL(hAPP_int_bool(P1,X1))|hBOOL(hAPP_int_bool(P_1,$f155(P_1,P1,D))).
% 115.18/114.00  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D))| -hBOOL(hAPP_int_bool(P1,$f153(P_1,P1,D)))| -hBOOL(hAPP_int_bool(P1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f153(P_1,P1,D)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f152(P_1,P1,D)),D))))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f154(P_1,P1,D,Z)),Z))| -hBOOL(hAPP_int_bool(P1,X1))|hBOOL(hAPP_int_bool(P_1,$f155(P_1,P1,D))).
% 115.18/114.00  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D))| -hBOOL(hAPP_int_bool(P1,$f153(P_1,P1,D)))| -hBOOL(hAPP_int_bool(P1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f153(P_1,P1,D)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f152(P_1,P1,D)),D))))|hBOOL(hAPP_int_bool(P_1,$f154(P_1,P1,D,Z)))|hBOOL(hAPP_int_bool(P1,$f154(P_1,P1,D,Z)))| -hBOOL(hAPP_int_bool(P1,X1))|hBOOL(hAPP_int_bool(P_1,$f155(P_1,P1,D))).
% 115.18/114.00  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D))| -hBOOL(hAPP_int_bool(P1,$f153(P_1,P1,D)))| -hBOOL(hAPP_int_bool(P1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f153(P_1,P1,D)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f152(P_1,P1,D)),D))))| -hBOOL(hAPP_int_bool(P_1,$f154(P_1,P1,D,Z)))| -hBOOL(hAPP_int_bool(P1,$f154(P_1,P1,D,Z)))| -hBOOL(hAPP_int_bool(P1,X1))|hBOOL(hAPP_int_bool(P_1,$f155(P_1,P1,D))).
% 115.18/114.00  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D))|hBOOL(hAPP_int_bool(P_2,$f157(P_1,P_2,D)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f157(P_1,P_2,D)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f156(P_1,P_2,D)),D))))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z),$f158(P_1,P_2,D,Z)))| -hBOOL(hAPP_int_bool(P_2,X1))|hBOOL(hAPP_int_bool(P_1,$f159(P_1,P_2,D))).
% 115.18/114.00  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D))|hBOOL(hAPP_int_bool(P_2,$f157(P_1,P_2,D)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f157(P_1,P_2,D)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f156(P_1,P_2,D)),D))))|hBOOL(hAPP_int_bool(P_1,$f158(P_1,P_2,D,Z)))|hBOOL(hAPP_int_bool(P_2,$f158(P_1,P_2,D,Z)))| -hBOOL(hAPP_int_bool(P_2,X1))|hBOOL(hAPP_int_bool(P_1,$f159(P_1,P_2,D))).
% 115.18/114.00  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D))|hBOOL(hAPP_int_bool(P_2,$f157(P_1,P_2,D)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f157(P_1,P_2,D)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f156(P_1,P_2,D)),D))))| -hBOOL(hAPP_int_bool(P_1,$f158(P_1,P_2,D,Z)))| -hBOOL(hAPP_int_bool(P_2,$f158(P_1,P_2,D,Z)))| -hBOOL(hAPP_int_bool(P_2,X1))|hBOOL(hAPP_int_bool(P_1,$f159(P_1,P_2,D))).
% 115.18/114.00  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D))| -hBOOL(hAPP_int_bool(P_2,$f157(P_1,P_2,D)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f157(P_1,P_2,D)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f156(P_1,P_2,D)),D))))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z),$f158(P_1,P_2,D,Z)))| -hBOOL(hAPP_int_bool(P_2,X1))|hBOOL(hAPP_int_bool(P_1,$f159(P_1,P_2,D))).
% 115.18/114.00  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D))| -hBOOL(hAPP_int_bool(P_2,$f157(P_1,P_2,D)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f157(P_1,P_2,D)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f156(P_1,P_2,D)),D))))|hBOOL(hAPP_int_bool(P_1,$f158(P_1,P_2,D,Z)))|hBOOL(hAPP_int_bool(P_2,$f158(P_1,P_2,D,Z)))| -hBOOL(hAPP_int_bool(P_2,X1))|hBOOL(hAPP_int_bool(P_1,$f159(P_1,P_2,D))).
% 115.18/114.00  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D))| -hBOOL(hAPP_int_bool(P_2,$f157(P_1,P_2,D)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f157(P_1,P_2,D)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f156(P_1,P_2,D)),D))))| -hBOOL(hAPP_int_bool(P_1,$f158(P_1,P_2,D,Z)))| -hBOOL(hAPP_int_bool(P_2,$f158(P_1,P_2,D,Z)))| -hBOOL(hAPP_int_bool(P_2,X1))|hBOOL(hAPP_int_bool(P_1,$f159(P_1,P_2,D))).
% 115.18/114.00  0 [] -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).
% 115.18/114.00  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y),X))|hAPP_int_int(nat_tsub(X),Y)=zero_zero_int.
% 115.18/114.00  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,N_1),zero_zero_int))|hAPP_int_int(zfact,N_1)=one_one_int.
% 115.18/114.00  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,N_1),zero_zero_int))|hAPP_int_int(zfact,N_1)=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,N_1),hAPP_int_int(zfact,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,N_1),one_one_int))).
% 115.18/114.00  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,archim791455193or_rat(X_1)),hAPP_int_int(number_number_of_int,V)))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_1),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_int_rat(number_number_of_rat,V)),one_one_rat))).
% 115.18/114.00  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,archim791455193or_rat(X_1)),hAPP_int_int(number_number_of_int,V)))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_1),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_int_rat(number_number_of_rat,V)),one_one_rat))).
% 115.18/114.00  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,archim1246769320r_real(X_1)),hAPP_int_int(number_number_of_int,V)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_int_real(number267125858f_real,V)),one_one_real))).
% 115.18/114.00  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,archim1246769320r_real(X_1)),hAPP_int_int(number_number_of_int,V)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_int_real(number267125858f_real,V)),one_one_real))).
% 115.18/114.00  0 [] archim791455193or_rat(zero_zero_rat)=zero_zero_int.
% 115.18/114.00  0 [] archim1246769320r_real(zero_zero_real)=zero_zero_int.
% 115.18/114.00  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,archim791455193or_rat(X_22)),archim791455193or_rat(Y_13)))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_22),Y_13)).
% 115.18/114.00  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,archim1246769320r_real(X_22)),archim1246769320r_real(Y_13)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_22),Y_13)).
% 115.18/114.00  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_21),Y_12))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,archim791455193or_rat(X_21)),archim791455193or_rat(Y_12))).
% 115.18/114.00  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_21),Y_12))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,archim1246769320r_real(X_21)),archim1246769320r_real(Y_12))).
% 115.18/114.00  0 [] archim791455193or_rat(one_one_rat)=one_one_int.
% 115.18/114.00  0 [] archim1246769320r_real(one_one_real)=one_one_int.
% 115.18/114.00  0 [] archim791455193or_rat(hAPP_int_rat(number_number_of_rat,V_8))=hAPP_int_int(number_number_of_int,V_8).
% 115.18/114.00  0 [] archim1246769320r_real(hAPP_int_real(number267125858f_real,V_8))=hAPP_int_int(number_number_of_int,V_8).
% 115.18/114.00  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,archim791455193or_rat(X_1)),zero_zero_int))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_1),zero_zero_rat)).
% 115.18/114.00  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,archim791455193or_rat(X_1)),zero_zero_int))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_1),zero_zero_rat)).
% 115.18/114.00  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,archim1246769320r_real(X_1)),zero_zero_int))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),zero_zero_real)).
% 115.18/114.00  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,archim1246769320r_real(X_1)),zero_zero_int))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),zero_zero_real)).
% 115.18/114.00  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),archim791455193or_rat(X_1)))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),X_1)).
% 115.18/114.00  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),archim791455193or_rat(X_1)))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),X_1)).
% 115.18/114.00  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),archim1246769320r_real(X_1)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_1)).
% 115.18/114.00  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),archim1246769320r_real(X_1)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_1)).
% 115.18/114.00  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),archim791455193or_rat(X_1)))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,one_one_rat),X_1)).
% 115.18/114.00  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),archim791455193or_rat(X_1)))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,one_one_rat),X_1)).
% 115.18/114.00  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),archim1246769320r_real(X_1)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),X_1)).
% 115.18/114.00  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),archim1246769320r_real(X_1)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),X_1)).
% 115.18/114.00  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,archim791455193or_rat(X_1)),zero_zero_int))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_1),one_one_rat)).
% 115.18/114.00  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,archim791455193or_rat(X_1)),zero_zero_int))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_1),one_one_rat)).
% 115.18/114.00  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,archim1246769320r_real(X_1)),zero_zero_int))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),one_one_real)).
% 115.18/114.00  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,archim1246769320r_real(X_1)),zero_zero_int))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),one_one_real)).
% 115.18/114.00  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,archim791455193or_rat(X_1)),one_one_int))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_1),one_one_rat)).
% 115.18/114.00  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,archim791455193or_rat(X_1)),one_one_int))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_1),one_one_rat)).
% 115.18/114.00  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,archim1246769320r_real(X_1)),one_one_int))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),one_one_real)).
% 115.18/114.00  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,archim1246769320r_real(X_1)),one_one_int))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),one_one_real)).
% 115.18/114.00  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),archim791455193or_rat(X_1)))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,one_one_rat),X_1)).
% 115.18/114.00  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),archim791455193or_rat(X_1)))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,one_one_rat),X_1)).
% 115.18/114.00  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),archim1246769320r_real(X_1)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),X_1)).
% 115.18/114.00  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),archim1246769320r_real(X_1)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),X_1)).
% 115.18/114.00  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,archim791455193or_rat(X_1)),hAPP_int_int(number_number_of_int,V)))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_1),hAPP_int_rat(number_number_of_rat,V))).
% 115.18/114.00  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,archim791455193or_rat(X_1)),hAPP_int_int(number_number_of_int,V)))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_1),hAPP_int_rat(number_number_of_rat,V))).
% 115.18/114.00  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,archim1246769320r_real(X_1)),hAPP_int_int(number_number_of_int,V)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),hAPP_int_real(number267125858f_real,V))).
% 115.18/114.00  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,archim1246769320r_real(X_1)),hAPP_int_int(number_number_of_int,V)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),hAPP_int_real(number267125858f_real,V))).
% 115.18/114.00  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(number_number_of_int,V)),archim791455193or_rat(X_1)))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_int_rat(number_number_of_rat,V)),X_1)).
% 115.18/114.00  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(number_number_of_int,V)),archim791455193or_rat(X_1)))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_int_rat(number_number_of_rat,V)),X_1)).
% 115.18/114.00  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(number_number_of_int,V)),archim1246769320r_real(X_1)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(number267125858f_real,V)),X_1)).
% 115.18/114.00  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(number_number_of_int,V)),archim1246769320r_real(X_1)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(number267125858f_real,V)),X_1)).
% 115.18/114.00  0 [] archim791455193or_rat(hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,X_20),one_one_rat))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,archim791455193or_rat(X_20)),one_one_int).
% 115.18/114.00  0 [] archim1246769320r_real(hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_20),one_one_real))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,archim1246769320r_real(X_20)),one_one_int).
% 115.18/114.00  0 [] archim791455193or_rat(hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,X_19),hAPP_int_rat(number_number_of_rat,V_7)))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,archim791455193or_rat(X_19)),hAPP_int_int(number_number_of_int,V_7)).
% 115.18/114.00  0 [] archim1246769320r_real(hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_19),hAPP_int_real(number267125858f_real,V_7)))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,archim1246769320r_real(X_19)),hAPP_int_int(number_number_of_int,V_7)).
% 115.18/114.00  0 [] archim791455193or_rat(hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,X_18),one_one_rat))=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,archim791455193or_rat(X_18)),one_one_int).
% 115.18/114.00  0 [] archim1246769320r_real(hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X_18),one_one_real))=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,archim1246769320r_real(X_18)),one_one_int).
% 115.18/114.00  0 [] archim791455193or_rat(hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,X_17),hAPP_int_rat(number_number_of_rat,V_6)))=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,archim791455193or_rat(X_17)),hAPP_int_int(number_number_of_int,V_6)).
% 115.18/114.00  0 [] archim1246769320r_real(hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X_17),hAPP_int_real(number267125858f_real,V_6)))=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,archim1246769320r_real(X_17)),hAPP_int_int(number_number_of_int,V_6)).
% 115.18/114.00  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(nat_tsub(X),Y))).
% 115.18/114.00  0 [] -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).
% 115.18/114.00  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,V)),archim791455193or_rat(X_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_int_rat(number_number_of_rat,V)),one_one_rat)),X_1)).
% 115.18/114.00  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,V)),archim791455193or_rat(X_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_int_rat(number_number_of_rat,V)),one_one_rat)),X_1)).
% 115.18/114.00  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,V)),archim1246769320r_real(X_1)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_int_real(number267125858f_real,V)),one_one_real)),X_1)).
% 115.18/114.00  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,V)),archim1246769320r_real(X_1)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_int_real(number267125858f_real,V)),one_one_real)),X_1)).
% 115.18/114.00  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_2))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),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,archim1246769320r_real(A_2)),archim1246769320r_real(B_1))),archim1246769320r_real(hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_2),B_1)))).
% 115.18/114.00  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_1))|hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A_2,B_1),posDivAlg(A_2,B_1))).
% 115.18/114.00  0 [] -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)))).
% 115.18/114.00  0 [] -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)).
% 115.18/114.00  0 [] -hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,Aa),ring_1_Ints_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(plus_plus_real,one_one_real),Aa)),Aa)),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),zero_zero_real)).
% 115.18/114.00  0 [] -hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,Aa),ring_1_Ints_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(plus_plus_real,one_one_real),Aa)),Aa)),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),zero_zero_real)).
% 115.18/114.00  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Aa),ring_1_Ints_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(plus_plus_int,one_one_int),Aa)),Aa)),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),zero_zero_int)).
% 115.18/114.00  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Aa),ring_1_Ints_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(plus_plus_int,one_one_int),Aa)),Aa)),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),zero_zero_int)).
% 115.18/114.00  0 [] -hBOOL(hAPP_f311463272l_bool(hAPP_r1889917837l_bool(member_rat,Aa),ring_1_Ints_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(plus_plus_rat,one_one_rat),Aa)),Aa)),zero_zero_rat))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Aa),zero_zero_rat)).
% 115.18/114.00  0 [] -hBOOL(hAPP_f311463272l_bool(hAPP_r1889917837l_bool(member_rat,Aa),ring_1_Ints_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(plus_plus_rat,one_one_rat),Aa)),Aa)),zero_zero_rat))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Aa),zero_zero_rat)).
% 115.18/114.00  0 [] -hBOOL(hAPP_P603027463t_bool(divmod_int_rel(Aa,Ba),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Qa),R_2)))|hBOOL(hAPP_P603027463t_bool(divmod_int_rel(hAPP_int_int(uminus_uminus_int,Aa),Ba),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,hAPP_int_int(hAPP_int_fun_int_int(hAPP_b1463609396nt_int(if_int,hAPP_int_bool(hAPP_i1948725293t_bool(fe_qual_int,R_2),zero_zero_int)),hAPP_int_int(uminus_uminus_int,Qa)),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(uminus_uminus_int,Qa)),one_one_int))),hAPP_int_int(hAPP_int_fun_int_int(hAPP_b1463609396nt_int(if_int,hAPP_int_bool(hAPP_i1948725293t_bool(fe_qual_int,R_2),zero_zero_int)),zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Ba),R_2))))).
% 115.18/114.00  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),Ba))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Ba),Aa))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Ba),hAPP_i1948725293t_bool(d22set,Aa))).
% 115.18/114.00  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),archim1419379755ng_rat(X_1)))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_int_rat(number_number_of_rat,min)),X_1)).
% 115.18/114.00  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),archim1419379755ng_rat(X_1)))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_int_rat(number_number_of_rat,min)),X_1)).
% 115.18/114.00  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),archim856651990g_real(X_1)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(number267125858f_real,min)),X_1)).
% 115.18/114.00  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),archim856651990g_real(X_1)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(number267125858f_real,min)),X_1)).
% 115.18/114.00  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,archim856651990g_real(X_1)),zero_zero_int))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),hAPP_int_real(number267125858f_real,min))).
% 115.18/114.00  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,archim856651990g_real(X_1)),zero_zero_int))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),hAPP_int_real(number267125858f_real,min))).
% 115.18/114.00  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,archim1419379755ng_rat(X_1)),zero_zero_int))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_1),hAPP_int_rat(number_number_of_rat,min))).
% 115.18/114.00  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,archim1419379755ng_rat(X_1)),zero_zero_int))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_1),hAPP_int_rat(number_number_of_rat,min))).
% 115.18/114.00  0 [] -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(div_mod_int(N),K_1)))|K_1!=zero_zero_int|hBOOL(hAPP_int_bool(P_1,N)).
% 115.18/114.00  0 [] -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(div_mod_int(N),K_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),K_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),J_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,J_1),K_1))|N!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),I_2)),J_1)|hBOOL(hAPP_int_bool(P_1,J_1)).
% 115.18/114.00  0 [] -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(div_mod_int(N),K_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),X4))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X4),zero_zero_int))|N!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),X3)),X4)|hBOOL(hAPP_int_bool(P_1,X4)).
% 115.18/114.00  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(div_mod_int(N),K_1)))|K_1=zero_zero_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),K_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),zero_zero_int)).
% 115.18/114.00  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(div_mod_int(N),K_1)))|K_1=zero_zero_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),K_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),$f162(P_1,N,K_1))).
% 115.18/114.00  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(div_mod_int(N),K_1)))|K_1=zero_zero_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),K_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,$f162(P_1,N,K_1)),zero_zero_int)).
% 115.18/114.00  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(div_mod_int(N),K_1)))|K_1=zero_zero_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),K_1))|N=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),$f163(P_1,N,K_1))),$f162(P_1,N,K_1)).
% 115.18/114.00  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(div_mod_int(N),K_1)))|K_1=zero_zero_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),K_1))| -hBOOL(hAPP_int_bool(P_1,$f162(P_1,N,K_1))).
% 115.18/114.00  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(div_mod_int(N),K_1)))|K_1=zero_zero_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),$f160(P_1,N,K_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),zero_zero_int)).
% 115.18/114.00  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(div_mod_int(N),K_1)))|K_1=zero_zero_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),$f160(P_1,N,K_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),$f162(P_1,N,K_1))).
% 115.18/114.00  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(div_mod_int(N),K_1)))|K_1=zero_zero_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),$f160(P_1,N,K_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,$f162(P_1,N,K_1)),zero_zero_int)).
% 115.18/114.00  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(div_mod_int(N),K_1)))|K_1=zero_zero_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),$f160(P_1,N,K_1)))|N=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),$f163(P_1,N,K_1))),$f162(P_1,N,K_1)).
% 115.18/114.00  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(div_mod_int(N),K_1)))|K_1=zero_zero_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),$f160(P_1,N,K_1)))| -hBOOL(hAPP_int_bool(P_1,$f162(P_1,N,K_1))).
% 115.18/114.00  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(div_mod_int(N),K_1)))|K_1=zero_zero_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f160(P_1,N,K_1)),K_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),zero_zero_int)).
% 115.18/114.00  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(div_mod_int(N),K_1)))|K_1=zero_zero_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f160(P_1,N,K_1)),K_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),$f162(P_1,N,K_1))).
% 115.18/114.00  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(div_mod_int(N),K_1)))|K_1=zero_zero_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f160(P_1,N,K_1)),K_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,$f162(P_1,N,K_1)),zero_zero_int)).
% 115.18/114.00  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(div_mod_int(N),K_1)))|K_1=zero_zero_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f160(P_1,N,K_1)),K_1))|N=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),$f163(P_1,N,K_1))),$f162(P_1,N,K_1)).
% 115.18/114.00  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(div_mod_int(N),K_1)))|K_1=zero_zero_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f160(P_1,N,K_1)),K_1))| -hBOOL(hAPP_int_bool(P_1,$f162(P_1,N,K_1))).
% 115.18/114.00  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(div_mod_int(N),K_1)))|K_1=zero_zero_int|N=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),$f161(P_1,N,K_1))),$f160(P_1,N,K_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),zero_zero_int)).
% 115.18/114.00  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(div_mod_int(N),K_1)))|K_1=zero_zero_int|N=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),$f161(P_1,N,K_1))),$f160(P_1,N,K_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),$f162(P_1,N,K_1))).
% 115.18/114.00  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(div_mod_int(N),K_1)))|K_1=zero_zero_int|N=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),$f161(P_1,N,K_1))),$f160(P_1,N,K_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,$f162(P_1,N,K_1)),zero_zero_int)).
% 115.18/114.00  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(div_mod_int(N),K_1)))|K_1=zero_zero_int|N=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),$f161(P_1,N,K_1))),$f160(P_1,N,K_1))|N=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),$f163(P_1,N,K_1))),$f162(P_1,N,K_1)).
% 115.18/114.00  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(div_mod_int(N),K_1)))|K_1=zero_zero_int|N=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),$f161(P_1,N,K_1))),$f160(P_1,N,K_1))| -hBOOL(hAPP_int_bool(P_1,$f162(P_1,N,K_1))).
% 115.18/114.00  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(div_mod_int(N),K_1)))|K_1=zero_zero_int| -hBOOL(hAPP_int_bool(P_1,$f160(P_1,N,K_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),zero_zero_int)).
% 115.18/114.00  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(div_mod_int(N),K_1)))|K_1=zero_zero_int| -hBOOL(hAPP_int_bool(P_1,$f160(P_1,N,K_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),$f162(P_1,N,K_1))).
% 115.18/114.00  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(div_mod_int(N),K_1)))|K_1=zero_zero_int| -hBOOL(hAPP_int_bool(P_1,$f160(P_1,N,K_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,$f162(P_1,N,K_1)),zero_zero_int)).
% 115.18/114.00  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(div_mod_int(N),K_1)))|K_1=zero_zero_int| -hBOOL(hAPP_int_bool(P_1,$f160(P_1,N,K_1)))|N=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),$f163(P_1,N,K_1))),$f162(P_1,N,K_1)).
% 115.18/114.00  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(div_mod_int(N),K_1)))|K_1=zero_zero_int| -hBOOL(hAPP_int_bool(P_1,$f160(P_1,N,K_1)))| -hBOOL(hAPP_int_bool(P_1,$f162(P_1,N,K_1))).
% 115.18/114.00  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(div_mod_int(N),K_1)))| -hBOOL(hAPP_int_bool(P_1,N))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),K_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),zero_zero_int)).
% 115.18/114.00  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(div_mod_int(N),K_1)))| -hBOOL(hAPP_int_bool(P_1,N))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),K_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),$f162(P_1,N,K_1))).
% 115.18/114.00  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(div_mod_int(N),K_1)))| -hBOOL(hAPP_int_bool(P_1,N))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),K_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,$f162(P_1,N,K_1)),zero_zero_int)).
% 115.18/114.00  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(div_mod_int(N),K_1)))| -hBOOL(hAPP_int_bool(P_1,N))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),K_1))|N=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),$f163(P_1,N,K_1))),$f162(P_1,N,K_1)).
% 115.18/114.00  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(div_mod_int(N),K_1)))| -hBOOL(hAPP_int_bool(P_1,N))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),K_1))| -hBOOL(hAPP_int_bool(P_1,$f162(P_1,N,K_1))).
% 115.18/114.00  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(div_mod_int(N),K_1)))| -hBOOL(hAPP_int_bool(P_1,N))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),$f160(P_1,N,K_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),zero_zero_int)).
% 115.18/114.00  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(div_mod_int(N),K_1)))| -hBOOL(hAPP_int_bool(P_1,N))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),$f160(P_1,N,K_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),$f162(P_1,N,K_1))).
% 115.18/114.00  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(div_mod_int(N),K_1)))| -hBOOL(hAPP_int_bool(P_1,N))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),$f160(P_1,N,K_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,$f162(P_1,N,K_1)),zero_zero_int)).
% 115.18/114.00  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(div_mod_int(N),K_1)))| -hBOOL(hAPP_int_bool(P_1,N))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),$f160(P_1,N,K_1)))|N=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),$f163(P_1,N,K_1))),$f162(P_1,N,K_1)).
% 115.18/114.00  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(div_mod_int(N),K_1)))| -hBOOL(hAPP_int_bool(P_1,N))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),$f160(P_1,N,K_1)))| -hBOOL(hAPP_int_bool(P_1,$f162(P_1,N,K_1))).
% 115.18/114.00  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(div_mod_int(N),K_1)))| -hBOOL(hAPP_int_bool(P_1,N))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f160(P_1,N,K_1)),K_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),zero_zero_int)).
% 115.18/114.00  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(div_mod_int(N),K_1)))| -hBOOL(hAPP_int_bool(P_1,N))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f160(P_1,N,K_1)),K_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),$f162(P_1,N,K_1))).
% 115.18/114.00  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(div_mod_int(N),K_1)))| -hBOOL(hAPP_int_bool(P_1,N))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f160(P_1,N,K_1)),K_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,$f162(P_1,N,K_1)),zero_zero_int)).
% 115.18/114.00  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(div_mod_int(N),K_1)))| -hBOOL(hAPP_int_bool(P_1,N))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f160(P_1,N,K_1)),K_1))|N=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),$f163(P_1,N,K_1))),$f162(P_1,N,K_1)).
% 115.18/114.00  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(div_mod_int(N),K_1)))| -hBOOL(hAPP_int_bool(P_1,N))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f160(P_1,N,K_1)),K_1))| -hBOOL(hAPP_int_bool(P_1,$f162(P_1,N,K_1))).
% 115.18/114.00  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(div_mod_int(N),K_1)))| -hBOOL(hAPP_int_bool(P_1,N))|N=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),$f161(P_1,N,K_1))),$f160(P_1,N,K_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),zero_zero_int)).
% 115.18/114.00  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(div_mod_int(N),K_1)))| -hBOOL(hAPP_int_bool(P_1,N))|N=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),$f161(P_1,N,K_1))),$f160(P_1,N,K_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),$f162(P_1,N,K_1))).
% 115.18/114.00  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(div_mod_int(N),K_1)))| -hBOOL(hAPP_int_bool(P_1,N))|N=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),$f161(P_1,N,K_1))),$f160(P_1,N,K_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,$f162(P_1,N,K_1)),zero_zero_int)).
% 115.18/114.01  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(div_mod_int(N),K_1)))| -hBOOL(hAPP_int_bool(P_1,N))|N=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),$f161(P_1,N,K_1))),$f160(P_1,N,K_1))|N=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),$f163(P_1,N,K_1))),$f162(P_1,N,K_1)).
% 115.18/114.01  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(div_mod_int(N),K_1)))| -hBOOL(hAPP_int_bool(P_1,N))|N=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),$f161(P_1,N,K_1))),$f160(P_1,N,K_1))| -hBOOL(hAPP_int_bool(P_1,$f162(P_1,N,K_1))).
% 115.18/114.01  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(div_mod_int(N),K_1)))| -hBOOL(hAPP_int_bool(P_1,N))| -hBOOL(hAPP_int_bool(P_1,$f160(P_1,N,K_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),zero_zero_int)).
% 115.18/114.01  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(div_mod_int(N),K_1)))| -hBOOL(hAPP_int_bool(P_1,N))| -hBOOL(hAPP_int_bool(P_1,$f160(P_1,N,K_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),$f162(P_1,N,K_1))).
% 115.18/114.01  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(div_mod_int(N),K_1)))| -hBOOL(hAPP_int_bool(P_1,N))| -hBOOL(hAPP_int_bool(P_1,$f160(P_1,N,K_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,$f162(P_1,N,K_1)),zero_zero_int)).
% 115.18/114.01  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(div_mod_int(N),K_1)))| -hBOOL(hAPP_int_bool(P_1,N))| -hBOOL(hAPP_int_bool(P_1,$f160(P_1,N,K_1)))|N=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),$f163(P_1,N,K_1))),$f162(P_1,N,K_1)).
% 115.18/114.01  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(div_mod_int(N),K_1)))| -hBOOL(hAPP_int_bool(P_1,N))| -hBOOL(hAPP_int_bool(P_1,$f160(P_1,N,K_1)))| -hBOOL(hAPP_int_bool(P_1,$f162(P_1,N,K_1))).
% 115.18/114.01  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Z_2))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_1),Z_2)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Y_2),Z_2)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_2)).
% 115.18/114.01  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Z_2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_1),Z_2)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Y_2),Z_2)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_2)).
% 115.18/114.01  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Z_2))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Z_2),X_1)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Z_2),Y_2)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_2)).
% 115.18/114.01  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Z_2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Z_2),X_1)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Z_2),Y_2)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_2)).
% 115.18/114.01  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X_1),Y_2)),zero_zero_real)).
% 115.18/114.01  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_2))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X_1),Y_2)),zero_zero_real)).
% 115.18/114.01  0 [] 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.
% 115.18/114.01  0 [] 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.
% 115.18/114.01  0 [] C=zero_zero_real|hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C),Aa)!=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C),Ba)|Aa=Ba.
% 115.18/114.01  0 [] C=zero_zero_real|hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C),Aa)=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C),Ba)|Aa!=Ba.
% 115.18/114.01  0 [] C=zero_zero_real|hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Aa),C)!=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Ba),C)|Aa=Ba.
% 115.18/114.01  0 [] C=zero_zero_real|hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Aa),C)=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Ba),C)|Aa!=Ba.
% 115.18/114.01  0 [] hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_1),X_1)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Y_2),Y_2))!=zero_zero_real|X_1=zero_zero_real.
% 115.18/114.01  0 [] hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_1),X_1)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Y_2),Y_2))!=zero_zero_real|Y_2=zero_zero_real.
% 115.18/114.01  0 [] hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_1),X_1)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Y_2),Y_2))=zero_zero_real|X_1!=zero_zero_real|Y_2!=zero_zero_real.
% 115.18/114.01  0 [] -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))).
% 115.18/114.01  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),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))).
% 115.18/114.01  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Z_2))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_1),Z_2)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Y_2),Z_2)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_2)).
% 115.18/114.01  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Z_2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_1),Z_2)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Y_2),Z_2)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_2)).
% 115.18/114.01  0 [] zero_zero_real!=one_one_real.
% 115.18/114.01  0 [] hAPP_int_int(div_mod_int(A_114),B_85)!=hAPP_int_int(div_mod_int(A_113),B_85)|hAPP_int_int(div_mod_int(hAPP_int_int(uminus_uminus_int,A_114)),B_85)=hAPP_int_int(div_mod_int(hAPP_int_int(uminus_uminus_int,A_113)),B_85).
% 115.18/114.01  0 [] hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(div_mo231679042de_int(A_112),B_84)),B_84)=hAPP_Q1762011733de_int(div_mo231679042de_int(A_112),B_84).
% 115.18/114.01  0 [] hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(div_mo1740067990umeral(A_112),B_84)),B_84)=hAPP_C498520661umeral(div_mo1740067990umeral(A_112),B_84).
% 115.18/114.01  0 [] hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(div_mod_nat(A_112),B_84)),B_84)=hAPP_nat_nat(div_mod_nat(A_112),B_84).
% 115.18/114.01  0 [] hAPP_int_int(div_mod_int(hAPP_int_int(div_mod_int(A_112),B_84)),B_84)=hAPP_int_int(div_mod_int(A_112),B_84).
% 115.18/114.01  0 [] hAPP_int_int(div_mod_int(hAPP_int_int(uminus_uminus_int,hAPP_int_int(div_mod_int(X),M_1))),M_1)=hAPP_int_int(div_mod_int(hAPP_int_int(uminus_uminus_int,X)),M_1).
% 115.18/114.01  0 [] hAPP_int_int(div_mod_int(hAPP_int_int(uminus_uminus_int,A_2)),hAPP_int_int(uminus_uminus_int,B_1))=hAPP_int_int(uminus_uminus_int,hAPP_int_int(div_mod_int(A_2),B_1)).
% 115.18/114.01  0 [] hAPP_int_int(div_mod_int(hAPP_int_int(uminus_uminus_int,A_111)),B_83)=hAPP_int_int(div_mod_int(hAPP_int_int(uminus_uminus_int,hAPP_int_int(div_mod_int(A_111),B_83))),B_83).
% 115.18/114.01  0 [] hAPP_int_int(div_mod_int(A_2),hAPP_int_int(uminus_uminus_int,B_1))=hAPP_int_int(uminus_uminus_int,hAPP_int_int(div_mod_int(hAPP_int_int(uminus_uminus_int,A_2)),B_1)).
% 115.18/114.01  0 [] hAPP_rat_rat(uminus_uminus_rat,hAPP_int_rat(number_number_of_rat,W_7))=hAPP_int_rat(number_number_of_rat,hAPP_int_int(uminus_uminus_int,W_7)).
% 115.18/114.01  0 [] hAPP_complex_complex(uminus473333897omplex,hAPP_int_complex(number528085621omplex,W_7))=hAPP_int_complex(number528085621omplex,hAPP_int_int(uminus_uminus_int,W_7)).
% 115.18/114.01  0 [] hAPP_real_real(uminus_uminus_real,hAPP_int_real(number267125858f_real,W_7))=hAPP_int_real(number267125858f_real,hAPP_int_int(uminus_uminus_int,W_7)).
% 115.18/114.01  0 [] hAPP_int_int(uminus_uminus_int,hAPP_int_int(number_number_of_int,W_7))=hAPP_int_int(number_number_of_int,hAPP_int_int(uminus_uminus_int,W_7)).
% 115.18/114.01  0 [] hAPP_int_rat(number_number_of_rat,hAPP_int_int(uminus_uminus_int,W_6))=hAPP_rat_rat(uminus_uminus_rat,hAPP_int_rat(number_number_of_rat,W_6)).
% 115.18/114.01  0 [] hAPP_int_complex(number528085621omplex,hAPP_int_int(uminus_uminus_int,W_6))=hAPP_complex_complex(uminus473333897omplex,hAPP_int_complex(number528085621omplex,W_6)).
% 115.18/114.01  0 [] hAPP_int_real(number267125858f_real,hAPP_int_int(uminus_uminus_int,W_6))=hAPP_real_real(uminus_uminus_real,hAPP_int_real(number267125858f_real,W_6)).
% 115.18/114.01  0 [] hAPP_int_int(number_number_of_int,hAPP_int_int(uminus_uminus_int,W_6))=hAPP_int_int(uminus_uminus_int,hAPP_int_int(number_number_of_int,W_6)).
% 115.18/114.01  0 [] min=hAPP_int_int(uminus_uminus_int,one_one_int).
% 115.18/114.01  0 [] hAPP_int_int(hAPP_int_fun_int_int(times_times_int,min),K_2)=hAPP_int_int(uminus_uminus_int,K_2).
% 115.18/114.01  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,W),W)).
% 115.18/114.01  0 [] 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)).
% 115.18/114.01  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),Y))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Z_1),X)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Z_1),Y))).
% 115.18/114.01  0 [] -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)).
% 115.18/114.01  0 [] -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.
% 115.18/114.01  0 [] hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(uminus_uminus_rat,A_110)),hAPP_rat_rat(abs_abs_rat,A_110))).
% 115.18/114.01  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(uminus_uminus_real,A_110)),hAPP_real_real(abs_abs_real,A_110))).
% 115.18/114.01  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(uminus_uminus_int,A_110)),hAPP_int_int(abs_abs_int,A_110))).
% 115.18/114.01  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(abs_abs_rat,Aa)),Ba))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Aa),Ba)).
% 115.18/114.01  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(abs_abs_rat,Aa)),Ba))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(uminus_uminus_rat,Aa)),Ba)).
% 115.18/114.01  0 [] hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(abs_abs_rat,Aa)),Ba))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Aa),Ba))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(uminus_uminus_rat,Aa)),Ba)).
% 115.18/114.01  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,Aa)),Ba))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba)).
% 115.18/114.01  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,Aa)),Ba))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(uminus_uminus_real,Aa)),Ba)).
% 115.18/114.01  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,Aa)),Ba))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(uminus_uminus_real,Aa)),Ba)).
% 115.18/114.01  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(abs_abs_int,Aa)),Ba))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),Ba)).
% 115.18/114.01  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(abs_abs_int,Aa)),Ba))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(uminus_uminus_int,Aa)),Ba)).
% 115.18/114.01  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(abs_abs_int,Aa)),Ba))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),Ba))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(uminus_uminus_int,Aa)),Ba)).
% 115.18/114.01  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_109),B_82))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(uminus_uminus_rat,A_109)),B_82))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(abs_abs_rat,A_109)),B_82)).
% 115.18/114.01  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_109),B_82))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(uminus_uminus_real,A_109)),B_82))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,A_109)),B_82)).
% 115.18/114.01  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_109),B_82))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(uminus_uminus_int,A_109)),B_82))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(abs_abs_int,A_109)),B_82)).
% 115.18/114.01  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(abs_abs_rat,A_108)),B_81))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(uminus_uminus_rat,A_108)),B_81)).
% 115.18/114.01  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,A_108)),B_81))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(uminus_uminus_real,A_108)),B_81)).
% 115.18/114.01  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(abs_abs_int,A_108)),B_81))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(uminus_uminus_int,A_108)),B_81)).
% 115.18/114.01  0 [] -hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,Aa),ring_1_Ints_real))|hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,hAPP_real_real(uminus_uminus_real,Aa)),ring_1_Ints_real)).
% 115.18/114.01  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Aa),ring_1_Ints_int))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(uminus_uminus_int,Aa)),ring_1_Ints_int)).
% 115.18/114.01  0 [] -hBOOL(hAPP_f311463272l_bool(hAPP_r1889917837l_bool(member_rat,Aa),ring_1_Ints_rat))|hBOOL(hAPP_f311463272l_bool(hAPP_r1889917837l_bool(member_rat,hAPP_rat_rat(uminus_uminus_rat,Aa)),ring_1_Ints_rat)).
% 115.18/114.01  0 [] -hBOOL(hAPP_f1734966846l_bool(hAPP_c769186317l_bool(member_complex,Aa),ring_1_Ints_complex))|hBOOL(hAPP_f1734966846l_bool(hAPP_c769186317l_bool(member_complex,hAPP_complex_complex(uminus473333897omplex,Aa)),ring_1_Ints_complex)).
% 115.18/114.01  0 [] 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)).
% 115.18/114.01  0 [] 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)).
% 115.18/114.01  0 [] hAPP_rat_rat(uminus_uminus_rat,Aa)!=hAPP_rat_rat(uminus_uminus_rat,Ba)|Aa=Ba.
% 115.18/114.01  0 [] hAPP_rat_rat(uminus_uminus_rat,Aa)=hAPP_rat_rat(uminus_uminus_rat,Ba)|Aa!=Ba.
% 115.18/114.01  0 [] hAPP_complex_complex(uminus473333897omplex,Aa)!=hAPP_complex_complex(uminus473333897omplex,Ba)|Aa=Ba.
% 115.18/114.01  0 [] hAPP_complex_complex(uminus473333897omplex,Aa)=hAPP_complex_complex(uminus473333897omplex,Ba)|Aa!=Ba.
% 115.18/114.01  0 [] hAPP_real_real(uminus_uminus_real,Aa)!=hAPP_real_real(uminus_uminus_real,Ba)|Aa=Ba.
% 115.18/114.01  0 [] hAPP_real_real(uminus_uminus_real,Aa)=hAPP_real_real(uminus_uminus_real,Ba)|Aa!=Ba.
% 115.18/114.01  0 [] hAPP_int_int(uminus_uminus_int,Aa)!=hAPP_int_int(uminus_uminus_int,Ba)|Aa=Ba.
% 115.18/114.01  0 [] hAPP_int_int(uminus_uminus_int,Aa)=hAPP_int_int(uminus_uminus_int,Ba)|Aa!=Ba.
% 115.18/114.01  0 [] hAPP_rat_rat(uminus_uminus_rat,Aa)!=Ba|hAPP_rat_rat(uminus_uminus_rat,Ba)=Aa.
% 115.18/114.01  0 [] hAPP_rat_rat(uminus_uminus_rat,Aa)=Ba|hAPP_rat_rat(uminus_uminus_rat,Ba)!=Aa.
% 115.18/114.01  0 [] hAPP_complex_complex(uminus473333897omplex,Aa)!=Ba|hAPP_complex_complex(uminus473333897omplex,Ba)=Aa.
% 115.18/114.01  0 [] hAPP_complex_complex(uminus473333897omplex,Aa)=Ba|hAPP_complex_complex(uminus473333897omplex,Ba)!=Aa.
% 115.18/114.01  0 [] hAPP_real_real(uminus_uminus_real,Aa)!=Ba|hAPP_real_real(uminus_uminus_real,Ba)=Aa.
% 115.18/114.01  0 [] hAPP_real_real(uminus_uminus_real,Aa)=Ba|hAPP_real_real(uminus_uminus_real,Ba)!=Aa.
% 115.18/114.01  0 [] hAPP_int_int(uminus_uminus_int,Aa)!=Ba|hAPP_int_int(uminus_uminus_int,Ba)=Aa.
% 115.18/114.01  0 [] hAPP_int_int(uminus_uminus_int,Aa)=Ba|hAPP_int_int(uminus_uminus_int,Ba)!=Aa.
% 115.18/114.01  0 [] Aa!=hAPP_rat_rat(uminus_uminus_rat,Ba)|Ba=hAPP_rat_rat(uminus_uminus_rat,Aa).
% 115.18/114.01  0 [] Aa=hAPP_rat_rat(uminus_uminus_rat,Ba)|Ba!=hAPP_rat_rat(uminus_uminus_rat,Aa).
% 115.18/114.01  0 [] Aa!=hAPP_complex_complex(uminus473333897omplex,Ba)|Ba=hAPP_complex_complex(uminus473333897omplex,Aa).
% 115.18/114.01  0 [] Aa=hAPP_complex_complex(uminus473333897omplex,Ba)|Ba!=hAPP_complex_complex(uminus473333897omplex,Aa).
% 115.18/114.01  0 [] Aa!=hAPP_real_real(uminus_uminus_real,Ba)|Ba=hAPP_real_real(uminus_uminus_real,Aa).
% 115.18/114.01  0 [] Aa=hAPP_real_real(uminus_uminus_real,Ba)|Ba!=hAPP_real_real(uminus_uminus_real,Aa).
% 115.18/114.01  0 [] Aa!=hAPP_int_int(uminus_uminus_int,Ba)|Ba=hAPP_int_int(uminus_uminus_int,Aa).
% 115.18/114.01  0 [] Aa=hAPP_int_int(uminus_uminus_int,Ba)|Ba!=hAPP_int_int(uminus_uminus_int,Aa).
% 115.18/114.01  0 [] hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Z_1),W)=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,W),Z_1).
% 115.18/114.01  0 [] hAPP_rat_rat(abs_abs_rat,hAPP_rat_rat(uminus_uminus_rat,A_107))=hAPP_rat_rat(abs_abs_rat,A_107).
% 115.18/114.01  0 [] hAPP_real_real(abs_abs_real,hAPP_real_real(uminus_uminus_real,A_107))=hAPP_real_real(abs_abs_real,A_107).
% 115.18/114.01  0 [] hAPP_int_int(abs_abs_int,hAPP_int_int(uminus_uminus_int,A_107))=hAPP_int_int(abs_abs_int,A_107).
% 115.18/114.01  0 [] hAPP_rat_rat(abs_abs_rat,hAPP_rat_rat(abs_abs_rat,A_106))=hAPP_rat_rat(abs_abs_rat,A_106).
% 115.18/114.01  0 [] hAPP_real_real(abs_abs_real,hAPP_real_real(abs_abs_real,A_106))=hAPP_real_real(abs_abs_real,A_106).
% 115.18/114.01  0 [] hAPP_int_int(abs_abs_int,hAPP_int_int(abs_abs_int,A_106))=hAPP_int_int(abs_abs_int,A_106).
% 115.18/114.01  0 [] hAPP_int_int(uminus_uminus_int,hAPP_int_int(uminus_uminus_int,Z_1))=Z_1.
% 115.18/114.01  0 [] hAPP_rat_rat(uminus_uminus_rat,hAPP_rat_rat(uminus_uminus_rat,A_105))=A_105.
% 115.18/114.01  0 [] hAPP_complex_complex(uminus473333897omplex,hAPP_complex_complex(uminus473333897omplex,A_105))=A_105.
% 115.18/114.01  0 [] hAPP_real_real(uminus_uminus_real,hAPP_real_real(uminus_uminus_real,A_105))=A_105.
% 115.18/114.01  0 [] hAPP_int_int(uminus_uminus_int,hAPP_int_int(uminus_uminus_int,A_105))=A_105.
% 115.18/114.01  0 [] hAPP_real_real(hAPP_r1250527377l_real(times_times_real,one_one_real),Z_1)=Z_1.
% 115.18/114.01  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(abs_abs_rat,Aa)),Ba))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Aa),Ba)).
% 115.18/114.01  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(abs_abs_rat,Aa)),Ba))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(uminus_uminus_rat,Aa)),Ba)).
% 115.18/114.01  0 [] hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(abs_abs_rat,Aa)),Ba))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Aa),Ba))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(uminus_uminus_rat,Aa)),Ba)).
% 115.18/114.01  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(abs_abs_real,Aa)),Ba))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba)).
% 115.18/114.01  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(abs_abs_real,Aa)),Ba))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(uminus_uminus_real,Aa)),Ba)).
% 115.18/114.01  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(abs_abs_real,Aa)),Ba))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(uminus_uminus_real,Aa)),Ba)).
% 115.18/114.01  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(abs_abs_int,Aa)),Ba))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),Ba)).
% 115.18/114.01  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(abs_abs_int,Aa)),Ba))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(uminus_uminus_int,Aa)),Ba)).
% 115.18/114.01  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(abs_abs_int,Aa)),Ba))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),Ba))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(uminus_uminus_int,Aa)),Ba)).
% 115.18/114.01  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_2))|X_1=Y_2.
% 115.18/114.01  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_2))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_2)).
% 115.18/114.01  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_2))|X_1!=Y_2.
% 115.18/114.01  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_2)).
% 115.18/114.01  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_2))|X_1!=Y_2.
% 115.18/114.01  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_2))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_2))|X_1=Y_2.
% 115.18/114.01  0 [] hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(uminus_uminus_rat,hAPP_rat_rat(abs_abs_rat,A_104))),zero_zero_rat)).
% 115.18/114.01  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(uminus_uminus_real,hAPP_real_real(abs_abs_real,A_104))),zero_zero_real)).
% 115.18/114.01  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(uminus_uminus_int,hAPP_int_int(abs_abs_int,A_104))),zero_zero_int)).
% 115.18/114.01  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_103),zero_zero_rat))|hAPP_rat_rat(abs_abs_rat,A_103)=hAPP_rat_rat(uminus_uminus_rat,A_103).
% 115.18/114.01  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_103),zero_zero_real))|hAPP_real_real(abs_abs_real,A_103)=hAPP_real_real(uminus_uminus_real,A_103).
% 115.18/114.01  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_103),zero_zero_int))|hAPP_int_int(abs_abs_int,A_103)=hAPP_int_int(uminus_uminus_int,A_103).
% 115.18/114.01  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_102),zero_zero_rat))|hAPP_rat_rat(abs_abs_rat,A_102)=hAPP_rat_rat(uminus_uminus_rat,A_102).
% 115.18/114.01  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_102),zero_zero_real))|hAPP_real_real(abs_abs_real,A_102)=hAPP_real_real(uminus_uminus_real,A_102).
% 115.18/114.01  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_102),zero_zero_int))|hAPP_int_int(abs_abs_int,A_102)=hAPP_int_int(uminus_uminus_int,A_102).
% 115.18/114.01  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_101),zero_zero_rat))|hAPP_rat_rat(abs_abs_rat,A_101)=hAPP_rat_rat(uminus_uminus_rat,A_101).
% 115.18/114.01  0 [] hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_101),zero_zero_rat))|hAPP_rat_rat(abs_abs_rat,A_101)=A_101.
% 115.18/114.01  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_101),zero_zero_real))|hAPP_real_real(abs_abs_real,A_101)=hAPP_real_real(uminus_uminus_real,A_101).
% 115.18/114.01  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_101),zero_zero_real))|hAPP_real_real(abs_abs_real,A_101)=A_101.
% 115.18/114.01  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_101),zero_zero_int))|hAPP_int_int(abs_abs_int,A_101)=hAPP_int_int(uminus_uminus_int,A_101).
% 115.18/114.01  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_101),zero_zero_int))|hAPP_int_int(abs_abs_int,A_101)=A_101.
% 115.18/114.01  0 [] hAPP_rat_rat(abs_abs_rat,hAPP_int_rat(number_number_of_rat,min))=one_one_rat.
% 115.18/114.01  0 [] hAPP_real_real(abs_abs_real,hAPP_int_real(number267125858f_real,min))=one_one_real.
% 115.18/114.01  0 [] hAPP_int_int(abs_abs_int,hAPP_int_int(number_number_of_int,min))=one_one_int.
% 115.18/114.01  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(uminus_uminus_rat,hAPP_int_rat(number_number_of_rat,W_5))),Z_9)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_int_rat(number_number_of_rat,hAPP_int_int(uminus_uminus_int,W_5))),Z_9).
% 115.18/114.01  0 [] hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(uminus473333897omplex,hAPP_int_complex(number528085621omplex,W_5))),Z_9)=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_int_complex(number528085621omplex,hAPP_int_int(uminus_uminus_int,W_5))),Z_9).
% 115.18/114.01  0 [] hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(uminus_uminus_real,hAPP_int_real(number267125858f_real,W_5))),Z_9)=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,hAPP_int_int(uminus_uminus_int,W_5))),Z_9).
% 115.18/114.01  0 [] hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(uminus_uminus_int,hAPP_int_int(number_number_of_int,W_5))),Z_9)=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(uminus_uminus_int,W_5))),Z_9).
% 115.18/114.01  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_int_rat(number_number_of_rat,min)),Z_8)=hAPP_rat_rat(uminus_uminus_rat,Z_8).
% 115.18/114.01  0 [] hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_int_complex(number528085621omplex,min)),Z_8)=hAPP_complex_complex(uminus473333897omplex,Z_8).
% 115.18/114.01  0 [] hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,min)),Z_8)=hAPP_real_real(uminus_uminus_real,Z_8).
% 115.18/114.01  0 [] hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,min)),Z_8)=hAPP_int_int(uminus_uminus_int,Z_8).
% 115.18/114.01  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Z_7),hAPP_int_rat(number_number_of_rat,min))=hAPP_rat_rat(uminus_uminus_rat,Z_7).
% 115.18/114.01  0 [] hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Z_7),hAPP_int_complex(number528085621omplex,min))=hAPP_complex_complex(uminus473333897omplex,Z_7).
% 115.18/114.01  0 [] hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Z_7),hAPP_int_real(number267125858f_real,min))=hAPP_real_real(uminus_uminus_real,Z_7).
% 115.18/114.01  0 [] hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Z_7),hAPP_int_int(number_number_of_int,min))=hAPP_int_int(uminus_uminus_int,Z_7).
% 115.18/114.01  0 [] hAPP_int_rat(number_number_of_rat,min)=hAPP_rat_rat(uminus_uminus_rat,one_one_rat).
% 115.18/114.01  0 [] hAPP_int_complex(number528085621omplex,min)=hAPP_complex_complex(uminus473333897omplex,one_one_complex).
% 115.18/114.01  0 [] hAPP_int_real(number267125858f_real,min)=hAPP_real_real(uminus_uminus_real,one_one_real).
% 115.18/114.01  0 [] hAPP_int_int(number_number_of_int,min)=hAPP_int_int(uminus_uminus_int,one_one_int).
% 115.18/114.01  0 [] hAPP_rat_rat(uminus_uminus_rat,one_one_rat)=hAPP_int_rat(number_number_of_rat,min).
% 115.18/114.01  0 [] hAPP_complex_complex(uminus473333897omplex,one_one_complex)=hAPP_int_complex(number528085621omplex,min).
% 115.18/114.01  0 [] hAPP_real_real(uminus_uminus_real,one_one_real)=hAPP_int_real(number267125858f_real,min).
% 115.18/114.01  0 [] hAPP_int_int(uminus_uminus_int,one_one_int)=hAPP_int_int(number_number_of_int,min).
% 115.18/114.01  0 [] -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).
% 115.18/114.01  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,I),zero_zero_int))|hAPP_int_int(abs_abs_int,I)=I.
% 115.18/114.01  0 [] hAPP_int_int(div_mod_int(A_2),hAPP_int_int(number_number_of_int,min))=zero_zero_int.
% 115.18/114.01  0 [] hAPP_int_int(div_mod_int(A_2),B_1)!=zero_zero_int|hAPP_int_int(div_mod_int(hAPP_int_int(uminus_uminus_int,A_2)),B_1)=zero_zero_int.
% 115.18/114.01  0 [] hAPP_int_int(div_mod_int(A_2),B_1)=zero_zero_int|hAPP_int_int(div_mod_int(hAPP_int_int(uminus_uminus_int,A_2)),B_1)=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,B_1),hAPP_int_int(div_mod_int(A_2),B_1)).
% 115.18/114.01  0 [] hAPP_int_int(div_mod_int(A_2),B_1)!=zero_zero_int|hAPP_int_int(div_mod_int(A_2),hAPP_int_int(uminus_uminus_int,B_1))=zero_zero_int.
% 115.18/114.01  0 [] hAPP_int_int(div_mod_int(A_2),B_1)=zero_zero_int|hAPP_int_int(div_mod_int(A_2),hAPP_int_int(uminus_uminus_int,B_1))=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(div_mod_int(A_2),B_1)),B_1).
% 115.18/114.01  0 [] 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).
% 115.18/114.01  0 [] hAPP_int_int(abs_abs_int,Z_2)=one_one_int|Z_2!=one_one_int.
% 115.18/114.01  0 [] hAPP_int_int(abs_abs_int,Z_2)=one_one_int|Z_2!=hAPP_int_int(number_number_of_int,min).
% 115.18/114.01  0 [] hAPP_Q1762011733de_int(div_mo231679042de_int(zero_z891286103de_int),A_100)=zero_z891286103de_int.
% 115.18/114.01  0 [] hAPP_C498520661umeral(div_mo1740067990umeral(zero_z126310315umeral),A_100)=zero_z126310315umeral.
% 115.18/114.01  0 [] hAPP_nat_nat(div_mod_nat(zero_zero_nat),A_100)=zero_zero_nat.
% 115.18/114.01  0 [] hAPP_int_int(div_mod_int(zero_zero_int),A_100)=zero_zero_int.
% 115.18/114.01  0 [] hAPP_Q1762011733de_int(div_mo231679042de_int(A_99),zero_z891286103de_int)=A_99.
% 115.18/114.01  0 [] hAPP_C498520661umeral(div_mo1740067990umeral(A_99),zero_z126310315umeral)=A_99.
% 115.18/114.01  0 [] hAPP_nat_nat(div_mod_nat(A_99),zero_zero_nat)=A_99.
% 115.18/114.01  0 [] hAPP_int_int(div_mod_int(A_99),zero_zero_int)=A_99.
% 115.18/114.01  0 [] hAPP_Q1762011733de_int(div_mo231679042de_int(A_98),A_98)=zero_z891286103de_int.
% 115.18/114.01  0 [] hAPP_C498520661umeral(div_mo1740067990umeral(A_98),A_98)=zero_z126310315umeral.
% 115.18/114.01  0 [] hAPP_nat_nat(div_mod_nat(A_98),A_98)=zero_zero_nat.
% 115.18/114.01  0 [] hAPP_int_int(div_mod_int(A_98),A_98)=zero_zero_int.
% 115.18/114.01  0 [] hAPP_rat_rat(abs_abs_rat,Aa)!=zero_zero_rat|Aa=zero_zero_rat.
% 115.18/114.01  0 [] hAPP_rat_rat(abs_abs_rat,Aa)=zero_zero_rat|Aa!=zero_zero_rat.
% 115.18/114.01  0 [] hAPP_real_real(abs_abs_real,Aa)!=zero_zero_real|Aa=zero_zero_real.
% 115.18/114.01  0 [] hAPP_real_real(abs_abs_real,Aa)=zero_zero_real|Aa!=zero_zero_real.
% 115.18/114.01  0 [] hAPP_int_int(abs_abs_int,Aa)!=zero_zero_int|Aa=zero_zero_int.
% 115.18/114.01  0 [] hAPP_int_int(abs_abs_int,Aa)=zero_zero_int|Aa!=zero_zero_int.
% 115.18/114.01  0 [] hAPP_rat_rat(abs_abs_rat,zero_zero_rat)=zero_zero_rat.
% 115.18/114.01  0 [] hAPP_real_real(abs_abs_real,zero_zero_real)=zero_zero_real.
% 115.18/114.01  0 [] hAPP_int_int(abs_abs_int,zero_zero_int)=zero_zero_int.
% 115.18/114.01  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(abs_abs_rat,A_97)),B_80))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_97),B_80)).
% 115.18/114.01  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,A_97)),B_80))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_97),B_80)).
% 115.18/114.01  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(abs_abs_int,A_97)),B_80))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_97),B_80)).
% 115.18/114.01  0 [] hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_96),hAPP_rat_rat(abs_abs_rat,A_96))).
% 115.18/114.01  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_96),hAPP_real_real(abs_abs_real,A_96))).
% 115.18/114.01  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_96),hAPP_int_int(abs_abs_int,A_96))).
% 115.18/114.01  0 [] hAPP_Q1762011733de_int(div_mo231679042de_int(A_95),C_35)!=hAPP_Q1762011733de_int(div_mo231679042de_int(A_94),C_35)|hAPP_Q1762011733de_int(div_mo231679042de_int(B_79),C_35)!=hAPP_Q1762011733de_int(div_mo231679042de_int(B_78),C_35)|hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_95),B_79)),C_35)=hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_94),B_78)),C_35).
% 115.18/114.01  0 [] hAPP_C498520661umeral(div_mo1740067990umeral(A_95),C_35)!=hAPP_C498520661umeral(div_mo1740067990umeral(A_94),C_35)|hAPP_C498520661umeral(div_mo1740067990umeral(B_79),C_35)!=hAPP_C498520661umeral(div_mo1740067990umeral(B_78),C_35)|hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_95),B_79)),C_35)=hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_94),B_78)),C_35).
% 115.18/114.01  0 [] hAPP_nat_nat(div_mod_nat(A_95),C_35)!=hAPP_nat_nat(div_mod_nat(A_94),C_35)|hAPP_nat_nat(div_mod_nat(B_79),C_35)!=hAPP_nat_nat(div_mod_nat(B_78),C_35)|hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_95),B_79)),C_35)=hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_94),B_78)),C_35).
% 115.18/114.01  0 [] hAPP_int_int(div_mod_int(A_95),C_35)!=hAPP_int_int(div_mod_int(A_94),C_35)|hAPP_int_int(div_mod_int(B_79),C_35)!=hAPP_int_int(div_mod_int(B_78),C_35)|hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_95),B_79)),C_35)=hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_94),B_78)),C_35).
% 115.18/114.01  0 [] hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_Q1762011733de_int(div_mo231679042de_int(A_93),C_34)),B_77)),C_34)=hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_93),B_77)),C_34).
% 115.18/114.01  0 [] hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_C498520661umeral(div_mo1740067990umeral(A_93),C_34)),B_77)),C_34)=hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_93),B_77)),C_34).
% 115.18/114.01  0 [] hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(div_mod_nat(A_93),C_34)),B_77)),C_34)=hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_93),B_77)),C_34).
% 115.18/114.01  0 [] hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(div_mod_int(A_93),C_34)),B_77)),C_34)=hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_93),B_77)),C_34).
% 115.18/114.01  0 [] hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_92),C_33)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_76),C_33))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_Q1762011733de_int(div_mo231679042de_int(A_92),B_76)),C_33).
% 115.18/114.01  0 [] hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_92),C_33)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_76),C_33))=hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_C498520661umeral(div_mo1740067990umeral(A_92),B_76)),C_33).
% 115.18/114.01  0 [] hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_92),C_33)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_76),C_33))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(div_mod_nat(A_92),B_76)),C_33).
% 115.18/114.01  0 [] hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_92),C_33)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_76),C_33))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(div_mod_int(A_92),B_76)),C_33).
% 115.18/114.01  0 [] hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_32),A_91)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_32),B_75))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_32),hAPP_Q1762011733de_int(div_mo231679042de_int(A_91),B_75)).
% 115.18/114.01  0 [] hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_32),A_91)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_32),B_75))=hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_32),hAPP_C498520661umeral(div_mo1740067990umeral(A_91),B_75)).
% 115.18/114.01  0 [] hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_32),A_91)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_32),B_75))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_32),hAPP_nat_nat(div_mod_nat(A_91),B_75)).
% 115.18/114.01  0 [] hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_32),A_91)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_32),B_75))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_32),hAPP_int_int(div_mod_int(A_91),B_75)).
% 115.18/114.01  0 [] hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_90),B_74)),C_31)=hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_Q1762011733de_int(div_mo231679042de_int(A_90),C_31)),hAPP_Q1762011733de_int(div_mo231679042de_int(B_74),C_31))),C_31).
% 115.18/114.01  0 [] hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_90),B_74)),C_31)=hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_C498520661umeral(div_mo1740067990umeral(A_90),C_31)),hAPP_C498520661umeral(div_mo1740067990umeral(B_74),C_31))),C_31).
% 115.18/114.01  0 [] hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_90),B_74)),C_31)=hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(div_mod_nat(A_90),C_31)),hAPP_nat_nat(div_mod_nat(B_74),C_31))),C_31).
% 115.18/114.01  0 [] hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_90),B_74)),C_31)=hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(div_mod_int(A_90),C_31)),hAPP_int_int(div_mod_int(B_74),C_31))),C_31).
% 115.18/114.01  0 [] hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_89),B_73)),C_30)=hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_Q1762011733de_int(div_mo231679042de_int(A_89),C_30)),B_73)),C_30).
% 115.18/114.01  0 [] hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_89),B_73)),C_30)=hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_C498520661umeral(div_mo1740067990umeral(A_89),C_30)),B_73)),C_30).
% 115.18/114.01  0 [] hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_89),B_73)),C_30)=hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(div_mod_nat(A_89),C_30)),B_73)),C_30).
% 115.18/114.01  0 [] hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_89),B_73)),C_30)=hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(div_mod_int(A_89),C_30)),B_73)),C_30).
% 115.18/114.01  0 [] hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_88),B_72)),C_29)=hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_88),hAPP_Q1762011733de_int(div_mo231679042de_int(B_72),C_29))),C_29).
% 115.18/114.01  0 [] hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_88),B_72)),C_29)=hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_88),hAPP_C498520661umeral(div_mo1740067990umeral(B_72),C_29))),C_29).
% 115.18/114.01  0 [] hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_88),B_72)),C_29)=hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_88),hAPP_nat_nat(div_mod_nat(B_72),C_29))),C_29).
% 115.18/114.01  0 [] hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_88),B_72)),C_29)=hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_88),hAPP_int_int(div_mod_int(B_72),C_29))),C_29).
% 115.18/114.01  0 [] hAPP_Q1762011733de_int(div_mo231679042de_int(A_87),C_28)!=hAPP_Q1762011733de_int(div_mo231679042de_int(A_86),C_28)|hAPP_Q1762011733de_int(div_mo231679042de_int(B_71),C_28)!=hAPP_Q1762011733de_int(div_mo231679042de_int(B_70),C_28)|hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_87),B_71)),C_28)=hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_86),B_70)),C_28).
% 115.18/114.01  0 [] hAPP_C498520661umeral(div_mo1740067990umeral(A_87),C_28)!=hAPP_C498520661umeral(div_mo1740067990umeral(A_86),C_28)|hAPP_C498520661umeral(div_mo1740067990umeral(B_71),C_28)!=hAPP_C498520661umeral(div_mo1740067990umeral(B_70),C_28)|hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_87),B_71)),C_28)=hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_86),B_70)),C_28).
% 115.18/114.01  0 [] hAPP_nat_nat(div_mod_nat(A_87),C_28)!=hAPP_nat_nat(div_mod_nat(A_86),C_28)|hAPP_nat_nat(div_mod_nat(B_71),C_28)!=hAPP_nat_nat(div_mod_nat(B_70),C_28)|hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_87),B_71)),C_28)=hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_86),B_70)),C_28).
% 115.18/114.01  0 [] hAPP_int_int(div_mod_int(A_87),C_28)!=hAPP_int_int(div_mod_int(A_86),C_28)|hAPP_int_int(div_mod_int(B_71),C_28)!=hAPP_int_int(div_mod_int(B_70),C_28)|hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_87),B_71)),C_28)=hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_86),B_70)),C_28).
% 115.18/114.01  0 [] hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(div_mo231679042de_int(A_85),C_27)),B_69)),C_27)=hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_85),B_69)),C_27).
% 115.18/114.01  0 [] hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,hAPP_C498520661umeral(div_mo1740067990umeral(A_85),C_27)),B_69)),C_27)=hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_85),B_69)),C_27).
% 115.18/114.01  0 [] hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(div_mod_nat(A_85),C_27)),B_69)),C_27)=hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_85),B_69)),C_27).
% 115.18/114.01  0 [] hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(div_mod_int(A_85),C_27)),B_69)),C_27)=hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_85),B_69)),C_27).
% 115.18/114.01  0 [] hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_84),hAPP_Q1762011733de_int(div_mo231679042de_int(B_68),C_26))),C_26)=hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_84),B_68)),C_26).
% 115.18/114.01  0 [] hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_84),hAPP_C498520661umeral(div_mo1740067990umeral(B_68),C_26))),C_26)=hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_84),B_68)),C_26).
% 115.18/114.01  0 [] hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_84),hAPP_nat_nat(div_mod_nat(B_68),C_26))),C_26)=hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_84),B_68)),C_26).
% 115.18/114.01  0 [] hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_84),hAPP_int_int(div_mod_int(B_68),C_26))),C_26)=hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_84),B_68)),C_26).
% 115.18/114.01  0 [] hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_83),B_67)),C_25)=hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(div_mo231679042de_int(A_83),C_25)),hAPP_Q1762011733de_int(div_mo231679042de_int(B_67),C_25))),C_25).
% 115.18/114.01  0 [] hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_83),B_67)),C_25)=hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,hAPP_C498520661umeral(div_mo1740067990umeral(A_83),C_25)),hAPP_C498520661umeral(div_mo1740067990umeral(B_67),C_25))),C_25).
% 115.18/114.01  0 [] hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_83),B_67)),C_25)=hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(div_mod_nat(A_83),C_25)),hAPP_nat_nat(div_mod_nat(B_67),C_25))),C_25).
% 115.18/114.01  0 [] hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_83),B_67)),C_25)=hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(div_mod_int(A_83),C_25)),hAPP_int_int(div_mod_int(B_67),C_25))),C_25).
% 115.18/114.01  0 [] hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_82),B_66)),C_24)=hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(div_mo231679042de_int(A_82),C_24)),B_66)),C_24).
% 115.18/114.01  0 [] hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_82),B_66)),C_24)=hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,hAPP_C498520661umeral(div_mo1740067990umeral(A_82),C_24)),B_66)),C_24).
% 115.18/114.01  0 [] hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_82),B_66)),C_24)=hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(div_mod_nat(A_82),C_24)),B_66)),C_24).
% 115.18/114.01  0 [] hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_82),B_66)),C_24)=hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(div_mod_int(A_82),C_24)),B_66)),C_24).
% 115.18/114.01  0 [] hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_81),B_65)),C_23)=hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_81),hAPP_Q1762011733de_int(div_mo231679042de_int(B_65),C_23))),C_23).
% 115.18/114.01  0 [] hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_81),B_65)),C_23)=hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_81),hAPP_C498520661umeral(div_mo1740067990umeral(B_65),C_23))),C_23).
% 115.18/114.01  0 [] hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_81),B_65)),C_23)=hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_81),hAPP_nat_nat(div_mod_nat(B_65),C_23))),C_23).
% 115.18/114.01  0 [] hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_81),B_65)),C_23)=hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_81),hAPP_int_int(div_mod_int(B_65),C_23))),C_23).
% 115.18/114.01  0 [] hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,B_64),A_80)),B_64)=hAPP_Q1762011733de_int(div_mo231679042de_int(A_80),B_64).
% 115.18/114.01  0 [] hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,B_64),A_80)),B_64)=hAPP_C498520661umeral(div_mo1740067990umeral(A_80),B_64).
% 115.18/114.01  0 [] hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_64),A_80)),B_64)=hAPP_nat_nat(div_mod_nat(A_80),B_64).
% 115.18/114.01  0 [] hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_64),A_80)),B_64)=hAPP_int_int(div_mod_int(A_80),B_64).
% 115.18/114.01  0 [] hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_79),B_63)),B_63)=hAPP_Q1762011733de_int(div_mo231679042de_int(A_79),B_63).
% 115.18/114.01  0 [] hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_79),B_63)),B_63)=hAPP_C498520661umeral(div_mo1740067990umeral(A_79),B_63).
% 115.18/114.01  0 [] hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_79),B_63)),B_63)=hAPP_nat_nat(div_mod_nat(A_79),B_63).
% 115.18/114.01  0 [] hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_79),B_63)),B_63)=hAPP_int_int(div_mod_int(A_79),B_63).
% 115.18/114.01  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(abs_abs_rat,A_78)),hAPP_rat_rat(abs_abs_rat,A_78))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_78),A_78).
% 115.18/114.01  0 [] hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(abs_abs_real,A_78)),hAPP_real_real(abs_abs_real,A_78))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_78),A_78).
% 115.18/114.01  0 [] hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(abs_abs_int,A_78)),hAPP_int_int(abs_abs_int,A_78))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_78),A_78).
% 115.18/114.01  0 [] hAPP_rat_rat(abs_abs_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_77),B_62))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(abs_abs_rat,A_77)),hAPP_rat_rat(abs_abs_rat,B_62)).
% 115.18/114.02  0 [] hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_77),B_62))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(abs_abs_real,A_77)),hAPP_real_real(abs_abs_real,B_62)).
% 115.18/114.02  0 [] hAPP_int_int(abs_abs_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_77),B_62))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(abs_abs_int,A_77)),hAPP_int_int(abs_abs_int,B_62)).
% 115.18/114.02  0 [] hAPP_rat_rat(abs_abs_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(abs_abs_rat,A_76)),hAPP_rat_rat(abs_abs_rat,B_61)))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(abs_abs_rat,A_76)),hAPP_rat_rat(abs_abs_rat,B_61)).
% 115.18/114.02  0 [] hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(abs_abs_real,A_76)),hAPP_real_real(abs_abs_real,B_61)))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(abs_abs_real,A_76)),hAPP_real_real(abs_abs_real,B_61)).
% 115.18/114.02  0 [] hAPP_int_int(abs_abs_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(abs_abs_int,A_76)),hAPP_int_int(abs_abs_int,B_61)))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(abs_abs_int,A_76)),hAPP_int_int(abs_abs_int,B_61)).
% 115.18/114.02  0 [] hAPP_int_int(div_mod_int(A_75),C_22)!=hAPP_int_int(div_mod_int(A_74),C_22)|hAPP_int_int(div_mod_int(B_60),C_22)!=hAPP_int_int(div_mod_int(B_59),C_22)|hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_75),B_60)),C_22)=hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_74),B_59)),C_22).
% 115.18/114.02  0 [] hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_73),B_58)),C_21)=hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(div_mod_int(A_73),C_21)),hAPP_int_int(div_mod_int(B_58),C_21))),C_21).
% 115.18/114.02  0 [] hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_72),B_57)),C_20)=hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(div_mod_int(A_72),C_20)),B_57)),C_20).
% 115.18/114.02  0 [] hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_71),B_56)),C_19)=hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_71),hAPP_int_int(div_mod_int(B_56),C_19))),C_19).
% 115.18/114.02  0 [] hAPP_rat_rat(abs_abs_rat,one_one_rat)=one_one_rat.
% 115.18/114.02  0 [] hAPP_real_real(abs_abs_real,one_one_real)=one_one_real.
% 115.18/114.02  0 [] hAPP_int_int(abs_abs_int,one_one_int)=one_one_int.
% 115.18/114.02  0 [] hAPP_rat_rat(abs_abs_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,A_70),B_55))=hAPP_rat_rat(abs_abs_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,B_55),A_70)).
% 115.18/114.02  0 [] hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,A_70),B_55))=hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,B_55),A_70)).
% 115.18/114.02  0 [] hAPP_int_int(abs_abs_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_70),B_55))=hAPP_int_int(abs_abs_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,B_55),A_70)).
% 115.18/114.02  0 [] archim1246769320r_real(hAPP_real_real(uminus_uminus_real,X_16))=hAPP_int_int(uminus_uminus_int,archim856651990g_real(X_16)).
% 115.18/114.02  0 [] archim791455193or_rat(hAPP_rat_rat(uminus_uminus_rat,X_16))=hAPP_int_int(uminus_uminus_int,archim1419379755ng_rat(X_16)).
% 115.18/114.02  0 [] archim856651990g_real(hAPP_real_real(uminus_uminus_real,X_15))=hAPP_int_int(uminus_uminus_int,archim1246769320r_real(X_15)).
% 115.18/114.02  0 [] archim1419379755ng_rat(hAPP_rat_rat(uminus_uminus_rat,X_15))=hAPP_int_int(uminus_uminus_int,archim791455193or_rat(X_15)).
% 115.18/114.02  0 [] archim856651990g_real(X_14)=hAPP_int_int(uminus_uminus_int,archim1246769320r_real(hAPP_real_real(uminus_uminus_real,X_14))).
% 115.18/114.02  0 [] archim1419379755ng_rat(X_14)=hAPP_int_int(uminus_uminus_int,archim791455193or_rat(hAPP_rat_rat(uminus_uminus_rat,X_14))).
% 115.18/114.02  0 [] hAPP_rat_rat(uminus_uminus_rat,Aa)!=Aa|Aa=zero_zero_rat.
% 115.18/114.02  0 [] hAPP_rat_rat(uminus_uminus_rat,Aa)=Aa|Aa!=zero_zero_rat.
% 115.18/114.02  0 [] hAPP_real_real(uminus_uminus_real,Aa)!=Aa|Aa=zero_zero_real.
% 115.18/114.02  0 [] hAPP_real_real(uminus_uminus_real,Aa)=Aa|Aa!=zero_zero_real.
% 115.18/114.02  0 [] hAPP_int_int(uminus_uminus_int,Aa)!=Aa|Aa=zero_zero_int.
% 115.18/114.02  0 [] hAPP_int_int(uminus_uminus_int,Aa)=Aa|Aa!=zero_zero_int.
% 115.18/114.02  0 [] hAPP_rat_rat(uminus_uminus_rat,Aa)!=zero_zero_rat|Aa=zero_zero_rat.
% 115.18/114.02  0 [] hAPP_rat_rat(uminus_uminus_rat,Aa)=zero_zero_rat|Aa!=zero_zero_rat.
% 115.18/114.02  0 [] hAPP_complex_complex(uminus473333897omplex,Aa)!=zero_zero_complex|Aa=zero_zero_complex.
% 115.18/114.02  0 [] hAPP_complex_complex(uminus473333897omplex,Aa)=zero_zero_complex|Aa!=zero_zero_complex.
% 115.18/114.02  0 [] hAPP_real_real(uminus_uminus_real,Aa)!=zero_zero_real|Aa=zero_zero_real.
% 115.18/114.02  0 [] hAPP_real_real(uminus_uminus_real,Aa)=zero_zero_real|Aa!=zero_zero_real.
% 115.18/114.02  0 [] hAPP_int_int(uminus_uminus_int,Aa)!=zero_zero_int|Aa=zero_zero_int.
% 115.18/114.02  0 [] hAPP_int_int(uminus_uminus_int,Aa)=zero_zero_int|Aa!=zero_zero_int.
% 115.18/114.02  0 [] Aa!=hAPP_rat_rat(uminus_uminus_rat,Aa)|Aa=zero_zero_rat.
% 115.18/114.02  0 [] Aa=hAPP_rat_rat(uminus_uminus_rat,Aa)|Aa!=zero_zero_rat.
% 115.18/114.02  0 [] Aa!=hAPP_real_real(uminus_uminus_real,Aa)|Aa=zero_zero_real.
% 115.18/114.02  0 [] Aa=hAPP_real_real(uminus_uminus_real,Aa)|Aa!=zero_zero_real.
% 115.18/114.02  0 [] Aa!=hAPP_int_int(uminus_uminus_int,Aa)|Aa=zero_zero_int.
% 115.18/114.02  0 [] Aa=hAPP_int_int(uminus_uminus_int,Aa)|Aa!=zero_zero_int.
% 115.18/114.02  0 [] zero_zero_rat!=hAPP_rat_rat(uminus_uminus_rat,Aa)|zero_zero_rat=Aa.
% 115.18/114.02  0 [] zero_zero_rat=hAPP_rat_rat(uminus_uminus_rat,Aa)|zero_zero_rat!=Aa.
% 115.18/114.02  0 [] zero_zero_complex!=hAPP_complex_complex(uminus473333897omplex,Aa)|zero_zero_complex=Aa.
% 115.18/114.02  0 [] zero_zero_complex=hAPP_complex_complex(uminus473333897omplex,Aa)|zero_zero_complex!=Aa.
% 115.18/114.02  0 [] zero_zero_real!=hAPP_real_real(uminus_uminus_real,Aa)|zero_zero_real=Aa.
% 115.18/114.02  0 [] zero_zero_real=hAPP_real_real(uminus_uminus_real,Aa)|zero_zero_real!=Aa.
% 115.18/114.02  0 [] zero_zero_int!=hAPP_int_int(uminus_uminus_int,Aa)|zero_zero_int=Aa.
% 115.18/114.02  0 [] zero_zero_int=hAPP_int_int(uminus_uminus_int,Aa)|zero_zero_int!=Aa.
% 115.18/114.02  0 [] hAPP_rat_rat(uminus_uminus_rat,zero_zero_rat)=zero_zero_rat.
% 115.18/114.02  0 [] hAPP_complex_complex(uminus473333897omplex,zero_zero_complex)=zero_zero_complex.
% 115.18/114.02  0 [] hAPP_real_real(uminus_uminus_real,zero_zero_real)=zero_zero_real.
% 115.18/114.02  0 [] hAPP_int_int(uminus_uminus_int,zero_zero_int)=zero_zero_int.
% 115.18/114.02  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,hAPP_f1805168059t_bool(uminus407446779t_bool,Y_2)),X_1))|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,hAPP_f1805168059t_bool(uminus407446779t_bool,X_1)),Y_2)).
% 115.18/114.02  0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_f800510211t_bool(uminus1024588959t_bool,Y_2)),X_1))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_f800510211t_bool(uminus1024588959t_bool,X_1)),Y_2)).
% 115.18/114.02  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Y_2),hAPP_f1805168059t_bool(uminus407446779t_bool,X_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,X_1),hAPP_f1805168059t_bool(uminus407446779t_bool,Y_2))).
% 115.18/114.02  0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Y_2),hAPP_f800510211t_bool(uminus1024588959t_bool,X_1)))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_1),hAPP_f800510211t_bool(uminus1024588959t_bool,Y_2))).
% 115.18/114.02  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,X_1),Y_2))|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,hAPP_f1805168059t_bool(uminus407446779t_bool,Y_2)),hAPP_f1805168059t_bool(uminus407446779t_bool,X_1))).
% 115.18/114.02  0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_1),Y_2))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_f800510211t_bool(uminus1024588959t_bool,Y_2)),hAPP_f800510211t_bool(uminus1024588959t_bool,X_1))).
% 115.18/114.02  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,hAPP_f1805168059t_bool(uminus407446779t_bool,X_1)),hAPP_f1805168059t_bool(uminus407446779t_bool,Y_2)))|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Y_2),X_1)).
% 115.18/114.02  0 [] hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,hAPP_f1805168059t_bool(uminus407446779t_bool,X_1)),hAPP_f1805168059t_bool(uminus407446779t_bool,Y_2)))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Y_2),X_1)).
% 115.18/114.02  0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_f800510211t_bool(uminus1024588959t_bool,X_1)),hAPP_f800510211t_bool(uminus1024588959t_bool,Y_2)))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Y_2),X_1)).
% 115.18/114.02  0 [] hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_f800510211t_bool(uminus1024588959t_bool,X_1)),hAPP_f800510211t_bool(uminus1024588959t_bool,Y_2)))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Y_2),X_1)).
% 115.18/114.02  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_69),B_54))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(uminus_uminus_rat,B_54)),hAPP_rat_rat(uminus_uminus_rat,A_69))).
% 115.18/114.02  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_69),B_54))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(uminus_uminus_real,B_54)),hAPP_real_real(uminus_uminus_real,A_69))).
% 115.18/114.02  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_69),B_54))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(uminus_uminus_int,B_54)),hAPP_int_int(uminus_uminus_int,A_69))).
% 115.18/114.02  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(uminus_uminus_rat,Ba)),hAPP_rat_rat(uminus_uminus_rat,Aa)))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Aa),Ba)).
% 115.18/114.02  0 [] hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(uminus_uminus_rat,Ba)),hAPP_rat_rat(uminus_uminus_rat,Aa)))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Aa),Ba)).
% 115.18/114.02  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(uminus_uminus_real,Ba)),hAPP_real_real(uminus_uminus_real,Aa)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba)).
% 115.18/114.02  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(uminus_uminus_real,Ba)),hAPP_real_real(uminus_uminus_real,Aa)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba)).
% 115.18/114.02  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(uminus_uminus_int,Ba)),hAPP_int_int(uminus_uminus_int,Aa)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),Ba)).
% 115.18/114.02  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(uminus_uminus_int,Ba)),hAPP_int_int(uminus_uminus_int,Aa)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),Ba)).
% 115.18/114.02  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(uminus_uminus_rat,Aa)),Ba))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(uminus_uminus_rat,Ba)),Aa)).
% 115.18/114.02  0 [] hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(uminus_uminus_rat,Aa)),Ba))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(uminus_uminus_rat,Ba)),Aa)).
% 115.18/114.02  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(uminus_uminus_real,Aa)),Ba))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(uminus_uminus_real,Ba)),Aa)).
% 115.18/114.02  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(uminus_uminus_real,Aa)),Ba))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(uminus_uminus_real,Ba)),Aa)).
% 115.18/114.02  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(uminus_uminus_int,Aa)),Ba))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(uminus_uminus_int,Ba)),Aa)).
% 115.18/114.02  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(uminus_uminus_int,Aa)),Ba))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(uminus_uminus_int,Ba)),Aa)).
% 115.18/114.02  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Aa),hAPP_rat_rat(uminus_uminus_rat,Ba)))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Ba),hAPP_rat_rat(uminus_uminus_rat,Aa))).
% 115.18/114.02  0 [] hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Aa),hAPP_rat_rat(uminus_uminus_rat,Ba)))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Ba),hAPP_rat_rat(uminus_uminus_rat,Aa))).
% 115.18/114.02  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),hAPP_real_real(uminus_uminus_real,Ba)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Ba),hAPP_real_real(uminus_uminus_real,Aa))).
% 115.18/114.02  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),hAPP_real_real(uminus_uminus_real,Ba)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Ba),hAPP_real_real(uminus_uminus_real,Aa))).
% 115.18/114.02  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),hAPP_int_int(uminus_uminus_int,Ba)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Ba),hAPP_int_int(uminus_uminus_int,Aa))).
% 115.18/114.02  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),hAPP_int_int(uminus_uminus_int,Ba)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Ba),hAPP_int_int(uminus_uminus_int,Aa))).
% 115.18/114.02  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,hAPP_f1805168059t_bool(uminus407446779t_bool,Y_2)),X_1))|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,hAPP_f1805168059t_bool(uminus407446779t_bool,X_1)),Y_2)).
% 115.18/114.02  0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,hAPP_f800510211t_bool(uminus1024588959t_bool,Y_2)),X_1))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,hAPP_f800510211t_bool(uminus1024588959t_bool,X_1)),Y_2)).
% 115.18/114.02  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Y_2),hAPP_f1805168059t_bool(uminus407446779t_bool,X_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,X_1),hAPP_f1805168059t_bool(uminus407446779t_bool,Y_2))).
% 115.18/114.02  0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Y_2),hAPP_f800510211t_bool(uminus1024588959t_bool,X_1)))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X_1),hAPP_f800510211t_bool(uminus1024588959t_bool,Y_2))).
% 115.18/114.02  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,hAPP_f1805168059t_bool(uminus407446779t_bool,X_1)),hAPP_f1805168059t_bool(uminus407446779t_bool,Y_2)))|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Y_2),X_1)).
% 115.18/114.02  0 [] hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,hAPP_f1805168059t_bool(uminus407446779t_bool,X_1)),hAPP_f1805168059t_bool(uminus407446779t_bool,Y_2)))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Y_2),X_1)).
% 115.18/114.02  0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,hAPP_f800510211t_bool(uminus1024588959t_bool,X_1)),hAPP_f800510211t_bool(uminus1024588959t_bool,Y_2)))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Y_2),X_1)).
% 115.18/114.02  0 [] hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,hAPP_f800510211t_bool(uminus1024588959t_bool,X_1)),hAPP_f800510211t_bool(uminus1024588959t_bool,Y_2)))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Y_2),X_1)).
% 115.18/114.02  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(uminus_uminus_rat,Ba)),hAPP_rat_rat(uminus_uminus_rat,Aa)))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Aa),Ba)).
% 115.18/114.02  0 [] hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(uminus_uminus_rat,Ba)),hAPP_rat_rat(uminus_uminus_rat,Aa)))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Aa),Ba)).
% 115.18/114.02  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(uminus_uminus_real,Ba)),hAPP_real_real(uminus_uminus_real,Aa)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba)).
% 115.18/114.02  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(uminus_uminus_real,Ba)),hAPP_real_real(uminus_uminus_real,Aa)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba)).
% 115.18/114.02  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(uminus_uminus_int,Ba)),hAPP_int_int(uminus_uminus_int,Aa)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),Ba)).
% 115.18/114.02  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(uminus_uminus_int,Ba)),hAPP_int_int(uminus_uminus_int,Aa)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),Ba)).
% 115.18/114.02  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(uminus_uminus_rat,Aa)),Ba))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(uminus_uminus_rat,Ba)),Aa)).
% 115.18/114.02  0 [] hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(uminus_uminus_rat,Aa)),Ba))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(uminus_uminus_rat,Ba)),Aa)).
% 115.18/114.02  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(uminus_uminus_real,Aa)),Ba))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(uminus_uminus_real,Ba)),Aa)).
% 115.18/114.02  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(uminus_uminus_real,Aa)),Ba))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(uminus_uminus_real,Ba)),Aa)).
% 115.18/114.02  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(uminus_uminus_int,Aa)),Ba))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(uminus_uminus_int,Ba)),Aa)).
% 115.18/114.02  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(uminus_uminus_int,Aa)),Ba))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(uminus_uminus_int,Ba)),Aa)).
% 115.18/114.02  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Aa),hAPP_rat_rat(uminus_uminus_rat,Ba)))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Ba),hAPP_rat_rat(uminus_uminus_rat,Aa))).
% 115.18/114.02  0 [] hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Aa),hAPP_rat_rat(uminus_uminus_rat,Ba)))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Ba),hAPP_rat_rat(uminus_uminus_rat,Aa))).
% 115.18/114.02  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),hAPP_real_real(uminus_uminus_real,Ba)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Ba),hAPP_real_real(uminus_uminus_real,Aa))).
% 115.18/114.02  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),hAPP_real_real(uminus_uminus_real,Ba)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Ba),hAPP_real_real(uminus_uminus_real,Aa))).
% 115.18/114.02  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),hAPP_int_int(uminus_uminus_int,Ba)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Ba),hAPP_int_int(uminus_uminus_int,Aa))).
% 115.18/114.02  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),hAPP_int_int(uminus_uminus_int,Ba)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Ba),hAPP_int_int(uminus_uminus_int,Aa))).
% 115.18/114.02  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Aa),Aa)!=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Ba),Ba)|Aa=Ba|Aa=hAPP_rat_rat(uminus_uminus_rat,Ba).
% 115.18/114.02  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Aa),Aa)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Ba),Ba)|Aa!=Ba.
% 115.18/114.02  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Aa),Aa)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Ba),Ba)|Aa!=hAPP_rat_rat(uminus_uminus_rat,Ba).
% 115.18/114.02  0 [] hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Aa),Aa)!=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Ba),Ba)|Aa=Ba|Aa=hAPP_complex_complex(uminus473333897omplex,Ba).
% 115.18/114.02  0 [] hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Aa),Aa)=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Ba),Ba)|Aa!=Ba.
% 115.18/114.02  0 [] hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Aa),Aa)=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Ba),Ba)|Aa!=hAPP_complex_complex(uminus473333897omplex,Ba).
% 115.18/114.02  0 [] hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Aa),Aa)!=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Ba),Ba)|Aa=Ba|Aa=hAPP_real_real(uminus_uminus_real,Ba).
% 115.18/114.02  0 [] hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Aa),Aa)=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Ba),Ba)|Aa!=Ba.
% 115.18/114.02  0 [] hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Aa),Aa)=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Ba),Ba)|Aa!=hAPP_real_real(uminus_uminus_real,Ba).
% 115.18/114.02  0 [] hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Aa),Aa)!=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Ba),Ba)|Aa=Ba|Aa=hAPP_int_int(uminus_uminus_int,Ba).
% 115.18/114.02  0 [] hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Aa),Aa)=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Ba),Ba)|Aa!=Ba.
% 115.18/114.02  0 [] hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Aa),Aa)=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Ba),Ba)|Aa!=hAPP_int_int(uminus_uminus_int,Ba).
% 115.18/114.02  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(uminus_uminus_rat,A_68)),hAPP_rat_rat(uminus_uminus_rat,B_53))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_68),B_53).
% 115.18/114.02  0 [] hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(uminus473333897omplex,A_68)),hAPP_complex_complex(uminus473333897omplex,B_53))=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_68),B_53).
% 115.18/114.02  0 [] hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(uminus_uminus_real,A_68)),hAPP_real_real(uminus_uminus_real,B_53))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_68),B_53).
% 115.18/114.02  0 [] hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(uminus_uminus_int,A_68)),hAPP_int_int(uminus_uminus_int,B_53))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_68),B_53).
% 115.18/114.02  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(uminus_uminus_rat,A_67)),B_52)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_67),hAPP_rat_rat(uminus_uminus_rat,B_52)).
% 115.18/114.02  0 [] hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(uminus473333897omplex,A_67)),B_52)=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_67),hAPP_complex_complex(uminus473333897omplex,B_52)).
% 115.18/114.02  0 [] hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(uminus_uminus_real,A_67)),B_52)=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_67),hAPP_real_real(uminus_uminus_real,B_52)).
% 115.18/114.02  0 [] hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(uminus_uminus_int,A_67)),B_52)=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_67),hAPP_int_int(uminus_uminus_int,B_52)).
% 115.18/114.02  0 [] hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(uminus473333897omplex,X_13)),Y_11)=hAPP_complex_complex(uminus473333897omplex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,X_13),Y_11)).
% 115.18/114.02  0 [] hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(uminus_uminus_real,X_13)),Y_11)=hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_13),Y_11)).
% 115.18/114.02  0 [] hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(uminus473333897omplex,A_66)),B_51)=hAPP_complex_complex(uminus473333897omplex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_66),B_51)).
% 115.18/114.02  0 [] hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(uminus_uminus_real,A_66)),B_51)=hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_66),B_51)).
% 115.18/114.02  0 [] hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Xa_3),hAPP_complex_complex(uminus473333897omplex,X_12))=hAPP_complex_complex(uminus473333897omplex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Xa_3),X_12)).
% 115.18/114.02  0 [] hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Xa_3),hAPP_real_real(uminus_uminus_real,X_12))=hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Xa_3),X_12)).
% 115.18/114.02  0 [] hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_65),hAPP_complex_complex(uminus473333897omplex,B_50))=hAPP_complex_complex(uminus473333897omplex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_65),B_50)).
% 115.18/114.02  0 [] hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_65),hAPP_real_real(uminus_uminus_real,B_50))=hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_65),B_50)).
% 115.18/114.02  0 [] hAPP_rat_rat(uminus_uminus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_64),B_49))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(uminus_uminus_rat,A_64)),B_49).
% 115.18/114.02  0 [] hAPP_complex_complex(uminus473333897omplex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_64),B_49))=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(uminus473333897omplex,A_64)),B_49).
% 115.18/114.02  0 [] hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_64),B_49))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(uminus_uminus_real,A_64)),B_49).
% 115.18/114.02  0 [] hAPP_int_int(uminus_uminus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_64),B_49))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(uminus_uminus_int,A_64)),B_49).
% 115.18/114.02  0 [] hAPP_rat_rat(uminus_uminus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_63),B_48))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_63),hAPP_rat_rat(uminus_uminus_rat,B_48)).
% 115.18/114.02  0 [] hAPP_complex_complex(uminus473333897omplex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_63),B_48))=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_63),hAPP_complex_complex(uminus473333897omplex,B_48)).
% 115.18/114.02  0 [] hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_63),B_48))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_63),hAPP_real_real(uminus_uminus_real,B_48)).
% 115.18/114.02  0 [] hAPP_int_int(uminus_uminus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_63),B_48))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_63),hAPP_int_int(uminus_uminus_int,B_48)).
% 115.18/114.02  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(uminus_uminus_rat,A_62)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_62),B_47))=B_47.
% 115.18/114.02  0 [] hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(uminus473333897omplex,A_62)),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_62),B_47))=B_47.
% 115.18/114.02  0 [] hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(uminus_uminus_real,A_62)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_62),B_47))=B_47.
% 115.18/114.02  0 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(uminus_uminus_int,A_62)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_62),B_47))=B_47.
% 115.18/114.02  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_61),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(uminus_uminus_rat,A_61)),B_46))=B_46.
% 115.18/114.02  0 [] hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_61),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(uminus473333897omplex,A_61)),B_46))=B_46.
% 115.18/114.02  0 [] hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_61),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(uminus_uminus_real,A_61)),B_46))=B_46.
% 115.18/114.02  0 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_61),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(uminus_uminus_int,A_61)),B_46))=B_46.
% 115.18/114.02  0 [] hAPP_rat_rat(uminus_uminus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_60),B_45))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(uminus_uminus_rat,B_45)),hAPP_rat_rat(uminus_uminus_rat,A_60)).
% 115.18/114.02  0 [] hAPP_complex_complex(uminus473333897omplex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_60),B_45))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(uminus473333897omplex,B_45)),hAPP_complex_complex(uminus473333897omplex,A_60)).
% 115.18/114.02  0 [] hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_60),B_45))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(uminus_uminus_real,B_45)),hAPP_real_real(uminus_uminus_real,A_60)).
% 115.18/114.02  0 [] hAPP_int_int(uminus_uminus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_60),B_45))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(uminus_uminus_int,B_45)),hAPP_int_int(uminus_uminus_int,A_60)).
% 115.18/114.02  0 [] hAPP_rat_rat(uminus_uminus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_59),B_44))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(uminus_uminus_rat,A_59)),hAPP_rat_rat(uminus_uminus_rat,B_44)).
% 115.18/114.02  0 [] hAPP_complex_complex(uminus473333897omplex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_59),B_44))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(uminus473333897omplex,A_59)),hAPP_complex_complex(uminus473333897omplex,B_44)).
% 115.18/114.02  0 [] hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_59),B_44))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(uminus_uminus_real,A_59)),hAPP_real_real(uminus_uminus_real,B_44)).
% 115.18/114.02  0 [] hAPP_int_int(uminus_uminus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_59),B_44))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(uminus_uminus_int,A_59)),hAPP_int_int(uminus_uminus_int,B_44)).
% 115.18/114.02  0 [] hAPP_int_int(div_mod_int(A_2),A_2)=zero_zero_int.
% 115.18/114.02  0 [] hAPP_int_int(div_mod_int(zero_zero_int),B_1)=zero_zero_int.
% 115.18/114.02  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,hAPP_rat_rat(uminus_uminus_rat,A_58)),hAPP_rat_rat(uminus_uminus_rat,B_43))=hAPP_rat_rat(uminus_uminus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,A_58),B_43)).
% 115.18/114.02  0 [] hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,hAPP_complex_complex(uminus473333897omplex,A_58)),hAPP_complex_complex(uminus473333897omplex,B_43))=hAPP_complex_complex(uminus473333897omplex,hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,A_58),B_43)).
% 115.18/114.02  0 [] hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(uminus_uminus_real,A_58)),hAPP_real_real(uminus_uminus_real,B_43))=hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,A_58),B_43)).
% 115.18/114.02  0 [] hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(uminus_uminus_int,A_58)),hAPP_int_int(uminus_uminus_int,B_43))=hAPP_int_int(uminus_uminus_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_58),B_43)).
% 115.18/114.02  0 [] hAPP_rat_rat(uminus_uminus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,A_57),B_42))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,B_42),A_57).
% 115.18/114.02  0 [] hAPP_complex_complex(uminus473333897omplex,hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,A_57),B_42))=hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,B_42),A_57).
% 115.18/114.02  0 [] hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,A_57),B_42))=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,B_42),A_57).
% 115.18/114.02  0 [] hAPP_int_int(uminus_uminus_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_57),B_42))=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,B_42),A_57).
% 115.18/114.02  0 [] hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_2),hAPP_int_int(div_mod_int(B_1),C_1))),C_1)=hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_2),B_1)),C_1).
% 115.18/114.02  0 [] hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_2),B_1)),C_1)=hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_2),hAPP_int_int(div_mod_int(B_1),C_1))),C_1).
% 115.18/114.02  0 [] hAPP_int_int(uminus_uminus_int,zero_zero_int)=zero_zero_int.
% 115.18/114.02  0 [] 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_1)),Y)),M_1)=hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X),Y)),M_1).
% 115.18/114.02  0 [] 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_1))),M_1)=hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X),Y)),M_1).
% 115.18/114.02  0 [] 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)).
% 115.18/114.02  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),min)).
% 115.18/114.02  0 [] 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)).
% 115.18/114.02  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,min),min)).
% 115.18/114.02  0 [] 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)).
% 115.18/114.02  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_int_rat(number_number_of_rat,X_11)),zero_zero_rat))|hAPP_rat_rat(abs_abs_rat,hAPP_int_rat(number_number_of_rat,X_11))=hAPP_rat_rat(uminus_uminus_rat,hAPP_int_rat(number_number_of_rat,X_11)).
% 115.18/114.02  0 [] hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_int_rat(number_number_of_rat,X_11)),zero_zero_rat))|hAPP_rat_rat(abs_abs_rat,hAPP_int_rat(number_number_of_rat,X_11))=hAPP_int_rat(number_number_of_rat,X_11).
% 115.18/114.02  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(number267125858f_real,X_11)),zero_zero_real))|hAPP_real_real(abs_abs_real,hAPP_int_real(number267125858f_real,X_11))=hAPP_real_real(uminus_uminus_real,hAPP_int_real(number267125858f_real,X_11)).
% 115.18/114.02  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(number267125858f_real,X_11)),zero_zero_real))|hAPP_real_real(abs_abs_real,hAPP_int_real(number267125858f_real,X_11))=hAPP_int_real(number267125858f_real,X_11).
% 115.18/114.02  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,X_11)),zero_zero_int))|hAPP_int_int(abs_abs_int,hAPP_int_int(number_number_of_int,X_11))=hAPP_int_int(uminus_uminus_int,hAPP_int_int(number_number_of_int,X_11)).
% 115.18/114.02  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,X_11)),zero_zero_int))|hAPP_int_int(abs_abs_int,hAPP_int_int(number_number_of_int,X_11))=hAPP_int_int(number_number_of_int,X_11).
% 115.18/114.02  0 [] hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,zero_zero_real),ring_1_Ints_real)).
% 115.18/114.02  0 [] hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,zero_zero_int),ring_1_Ints_int)).
% 115.18/114.02  0 [] hBOOL(hAPP_f311463272l_bool(hAPP_r1889917837l_bool(member_rat,zero_zero_rat),ring_1_Ints_rat)).
% 115.18/114.02  0 [] hBOOL(hAPP_f1734966846l_bool(hAPP_c769186317l_bool(member_complex,zero_zero_complex),ring_1_Ints_complex)).
% 115.18/114.02  0 [] -hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,Aa),ring_1_Ints_real))| -hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,Ba),ring_1_Ints_real))|hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Aa),Ba)),ring_1_Ints_real)).
% 115.18/114.02  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Aa),ring_1_Ints_int))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Ba),ring_1_Ints_int))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Aa),Ba)),ring_1_Ints_int)).
% 115.18/114.02  0 [] -hBOOL(hAPP_f311463272l_bool(hAPP_r1889917837l_bool(member_rat,Aa),ring_1_Ints_rat))| -hBOOL(hAPP_f311463272l_bool(hAPP_r1889917837l_bool(member_rat,Ba),ring_1_Ints_rat))|hBOOL(hAPP_f311463272l_bool(hAPP_r1889917837l_bool(member_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Aa),Ba)),ring_1_Ints_rat)).
% 115.18/114.02  0 [] -hBOOL(hAPP_f1734966846l_bool(hAPP_c769186317l_bool(member_complex,Aa),ring_1_Ints_complex))| -hBOOL(hAPP_f1734966846l_bool(hAPP_c769186317l_bool(member_complex,Ba),ring_1_Ints_complex))|hBOOL(hAPP_f1734966846l_bool(hAPP_c769186317l_bool(member_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Aa),Ba)),ring_1_Ints_complex)).
% 115.18/114.02  0 [] -hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,Aa),ring_1_Ints_real))| -hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,Ba),ring_1_Ints_real))|hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Aa),Ba)),ring_1_Ints_real)).
% 115.18/114.02  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Aa),ring_1_Ints_int))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Ba),ring_1_Ints_int))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Aa),Ba)),ring_1_Ints_int)).
% 115.18/114.02  0 [] -hBOOL(hAPP_f311463272l_bool(hAPP_r1889917837l_bool(member_rat,Aa),ring_1_Ints_rat))| -hBOOL(hAPP_f311463272l_bool(hAPP_r1889917837l_bool(member_rat,Ba),ring_1_Ints_rat))|hBOOL(hAPP_f311463272l_bool(hAPP_r1889917837l_bool(member_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,Aa),Ba)),ring_1_Ints_rat)).
% 115.18/114.02  0 [] -hBOOL(hAPP_f1734966846l_bool(hAPP_c769186317l_bool(member_complex,Aa),ring_1_Ints_complex))| -hBOOL(hAPP_f1734966846l_bool(hAPP_c769186317l_bool(member_complex,Ba),ring_1_Ints_complex))|hBOOL(hAPP_f1734966846l_bool(hAPP_c769186317l_bool(member_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,Aa),Ba)),ring_1_Ints_complex)).
% 115.18/114.02  0 [] hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,hAPP_int_real(number267125858f_real,W_1)),ring_1_Ints_real)).
% 115.18/114.02  0 [] hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(number_number_of_int,W_1)),ring_1_Ints_int)).
% 115.18/114.02  0 [] hBOOL(hAPP_f311463272l_bool(hAPP_r1889917837l_bool(member_rat,hAPP_int_rat(number_number_of_rat,W_1)),ring_1_Ints_rat)).
% 115.18/114.02  0 [] hBOOL(hAPP_f1734966846l_bool(hAPP_c769186317l_bool(member_complex,hAPP_int_complex(number528085621omplex,W_1)),ring_1_Ints_complex)).
% 115.18/114.02  0 [] hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,one_one_real),ring_1_Ints_real)).
% 115.18/114.02  0 [] hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,one_one_int),ring_1_Ints_int)).
% 115.18/114.02  0 [] hBOOL(hAPP_f311463272l_bool(hAPP_r1889917837l_bool(member_rat,one_one_rat),ring_1_Ints_rat)).
% 115.18/114.02  0 [] hBOOL(hAPP_f1734966846l_bool(hAPP_c769186317l_bool(member_complex,one_one_complex),ring_1_Ints_complex)).
% 115.18/114.02  0 [] -hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,Aa),ring_1_Ints_real))| -hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,Ba),ring_1_Ints_real))|hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Aa),Ba)),ring_1_Ints_real)).
% 115.18/114.02  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Aa),ring_1_Ints_int))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Ba),ring_1_Ints_int))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Aa),Ba)),ring_1_Ints_int)).
% 115.18/114.02  0 [] -hBOOL(hAPP_f311463272l_bool(hAPP_r1889917837l_bool(member_rat,Aa),ring_1_Ints_rat))| -hBOOL(hAPP_f311463272l_bool(hAPP_r1889917837l_bool(member_rat,Ba),ring_1_Ints_rat))|hBOOL(hAPP_f311463272l_bool(hAPP_r1889917837l_bool(member_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,Aa),Ba)),ring_1_Ints_rat)).
% 115.18/114.02  0 [] -hBOOL(hAPP_f1734966846l_bool(hAPP_c769186317l_bool(member_complex,Aa),ring_1_Ints_complex))| -hBOOL(hAPP_f1734966846l_bool(hAPP_c769186317l_bool(member_complex,Ba),ring_1_Ints_complex))|hBOOL(hAPP_f1734966846l_bool(hAPP_c769186317l_bool(member_complex,hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,Aa),Ba)),ring_1_Ints_complex)).
% 115.18/114.02  0 [] hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_41),A_56)),B_41)=zero_z891286103de_int.
% 115.18/114.02  0 [] hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_41),A_56)),B_41)=zero_z126310315umeral.
% 115.18/114.02  0 [] hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_41),A_56)),B_41)=zero_zero_nat.
% 115.18/114.02  0 [] hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_41),A_56)),B_41)=zero_zero_int.
% 115.18/114.02  0 [] hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_55),B_40)),B_40)=zero_z891286103de_int.
% 115.18/114.02  0 [] hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_55),B_40)),B_40)=zero_z126310315umeral.
% 115.18/114.02  0 [] hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_55),B_40)),B_40)=zero_zero_nat.
% 115.18/114.02  0 [] hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_55),B_40)),B_40)=zero_zero_int.
% 115.18/114.02  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),A_54))|hAPP_rat_rat(abs_abs_rat,A_54)=A_54.
% 115.18/114.02  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_54))|hAPP_real_real(abs_abs_real,A_54)=A_54.
% 115.18/114.02  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_54))|hAPP_int_int(abs_abs_int,A_54)=A_54.
% 115.18/114.02  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(abs_abs_rat,Aa)),zero_zero_rat))|Aa=zero_zero_rat.
% 115.18/114.02  0 [] hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(abs_abs_rat,Aa)),zero_zero_rat))|Aa!=zero_zero_rat.
% 115.18/114.02  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,Aa)),zero_zero_real))|Aa=zero_zero_real.
% 115.18/114.02  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,Aa)),zero_zero_real))|Aa!=zero_zero_real.
% 115.18/114.02  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(abs_abs_int,Aa)),zero_zero_int))|Aa=zero_zero_int.
% 115.18/114.02  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(abs_abs_int,Aa)),zero_zero_int))|Aa!=zero_zero_int.
% 115.18/114.02  0 [] hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),hAPP_rat_rat(abs_abs_rat,A_53))).
% 115.18/114.02  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(abs_abs_real,A_53))).
% 115.18/114.02  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(abs_abs_int,A_53))).
% 115.18/114.02  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),A_52))|hAPP_rat_rat(abs_abs_rat,A_52)=A_52.
% 115.18/114.02  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_52))|hAPP_real_real(abs_abs_real,A_52)=A_52.
% 115.18/114.02  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_52))|hAPP_int_int(abs_abs_int,A_52)=A_52.
% 115.18/114.02  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),hAPP_rat_rat(abs_abs_rat,Aa)))|Aa!=zero_zero_rat.
% 115.18/114.02  0 [] hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),hAPP_rat_rat(abs_abs_rat,Aa)))|Aa=zero_zero_rat.
% 115.18/114.02  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(abs_abs_real,Aa)))|Aa!=zero_zero_real.
% 115.18/114.02  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(abs_abs_real,Aa)))|Aa=zero_zero_real.
% 115.18/114.02  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(abs_abs_int,Aa)))|Aa!=zero_zero_int.
% 115.18/114.02  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(abs_abs_int,Aa)))|Aa=zero_zero_int.
% 115.18/114.02  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(abs_abs_rat,A_51)),zero_zero_rat)).
% 115.18/114.02  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(abs_abs_real,A_51)),zero_zero_real)).
% 115.18/114.02  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(abs_abs_int,A_51)),zero_zero_int)).
% 115.18/114.02  0 [] hAPP_Q1762011733de_int(div_mo231679042de_int(A_50),one_on1684967323de_int)=zero_z891286103de_int.
% 115.18/114.02  0 [] hAPP_C498520661umeral(div_mo1740067990umeral(A_50),one_on1645066479umeral)=zero_z126310315umeral.
% 115.18/114.02  0 [] hAPP_nat_nat(div_mod_nat(A_50),one_one_nat)=zero_zero_nat.
% 115.18/114.02  0 [] hAPP_int_int(div_mod_int(A_50),one_one_int)=zero_zero_int.
% 115.18/114.02  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(abs_abs_rat,A_49)),C_18))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(abs_abs_rat,B_39)),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_49)),hAPP_rat_rat(abs_abs_rat,B_39))),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C_18),D_6))).
% 115.18/114.02  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(abs_abs_real,A_49)),C_18))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(abs_abs_real,B_39)),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_49)),hAPP_real_real(abs_abs_real,B_39))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C_18),D_6))).
% 115.18/114.02  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(abs_abs_int,A_49)),C_18))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(abs_abs_int,B_39)),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_49)),hAPP_int_int(abs_abs_int,B_39))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_18),D_6))).
% 115.18/114.02  0 [] hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_48),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_17),B_38))),B_38)=hAPP_Q1762011733de_int(div_mo231679042de_int(A_48),B_38).
% 115.18/114.02  0 [] hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_48),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_17),B_38))),B_38)=hAPP_C498520661umeral(div_mo1740067990umeral(A_48),B_38).
% 115.18/114.02  0 [] hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_48),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_17),B_38))),B_38)=hAPP_nat_nat(div_mod_nat(A_48),B_38).
% 115.18/114.02  0 [] hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_48),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_17),B_38))),B_38)=hAPP_int_int(div_mod_int(A_48),B_38).
% 115.18/114.02  0 [] hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_47),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_37),C_16))),B_37)=hAPP_Q1762011733de_int(div_mo231679042de_int(A_47),B_37).
% 115.18/114.02  0 [] hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_47),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_37),C_16))),B_37)=hAPP_C498520661umeral(div_mo1740067990umeral(A_47),B_37).
% 115.18/114.02  0 [] hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_47),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_37),C_16))),B_37)=hAPP_nat_nat(div_mod_nat(A_47),B_37).
% 115.18/114.02  0 [] hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_47),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_37),C_16))),B_37)=hAPP_int_int(div_mod_int(A_47),B_37).
% 115.18/114.02  0 [] 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_46),B_36))),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(abs_abs_rat,A_46)),hAPP_rat_rat(abs_abs_rat,B_36)))).
% 115.18/114.02  0 [] 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_46),B_36))),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(abs_abs_real,A_46)),hAPP_real_real(abs_abs_real,B_36)))).
% 115.18/114.02  0 [] 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_46),B_36))),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(abs_abs_int,A_46)),hAPP_int_int(abs_abs_int,B_36)))).
% 115.18/114.02  0 [] 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_45)),hAPP_rat_rat(abs_abs_rat,B_35)))),hAPP_rat_rat(abs_abs_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,A_45),B_35)))).
% 115.18/114.02  0 [] 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_45)),hAPP_real_real(abs_abs_real,B_35)))),hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,A_45),B_35)))).
% 115.18/114.02  0 [] 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_45)),hAPP_int_int(abs_abs_int,B_35)))),hAPP_int_int(abs_abs_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_45),B_35)))).
% 115.18/114.02  0 [] 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_44)),hAPP_rat_rat(abs_abs_rat,B_34))),hAPP_rat_rat(abs_abs_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,A_44),B_34)))).
% 115.18/114.02  0 [] 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_44)),hAPP_real_real(abs_abs_real,B_34))),hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,A_44),B_34)))).
% 115.18/114.02  0 [] 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_44)),hAPP_int_int(abs_abs_int,B_34))),hAPP_int_int(abs_abs_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_44),B_34)))).
% 115.18/114.02  0 [] 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_43)),hAPP_rat_rat(abs_abs_rat,B_33))),hAPP_rat_rat(abs_abs_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,B_33),A_43)))).
% 115.18/114.02  0 [] 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_43)),hAPP_real_real(abs_abs_real,B_33))),hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,B_33),A_43)))).
% 115.18/114.02  0 [] 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_43)),hAPP_int_int(abs_abs_int,B_33))),hAPP_int_int(abs_abs_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,B_33),A_43)))).
% 115.18/114.02  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(abs_abs_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,X_1),Aa))),R_2))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,Aa),R_2)),X_1)).
% 115.18/114.02  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(abs_abs_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,X_1),Aa))),R_2))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_1),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,Aa),R_2))).
% 115.18/114.02  0 [] hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(abs_abs_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,X_1),Aa))),R_2))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,Aa),R_2)),X_1))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_1),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,Aa),R_2))).
% 115.18/114.02  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X_1),Aa))),R_2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Aa),R_2)),X_1)).
% 115.18/114.02  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X_1),Aa))),R_2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Aa),R_2))).
% 115.18/114.02  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X_1),Aa))),R_2))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Aa),R_2)),X_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Aa),R_2))).
% 115.18/114.02  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(abs_abs_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_1),Aa))),R_2))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Aa),R_2)),X_1)).
% 115.18/114.02  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(abs_abs_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_1),Aa))),R_2))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Aa),R_2))).
% 115.18/114.03  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(abs_abs_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_1),Aa))),R_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Aa),R_2)),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,Aa),R_2))).
% 115.18/114.03  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),Ba))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Ba),hAPP_i1948725293t_bool(d22set,Aa))).
% 115.18/114.03  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(uminus_uminus_rat,Aa)),Aa))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),Aa)).
% 115.18/114.03  0 [] hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(uminus_uminus_rat,Aa)),Aa))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),Aa)).
% 115.18/114.03  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(uminus_uminus_real,Aa)),Aa))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Aa)).
% 115.18/114.03  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(uminus_uminus_real,Aa)),Aa))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Aa)).
% 115.18/114.03  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(uminus_uminus_int,Aa)),Aa))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Aa)).
% 115.18/114.03  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(uminus_uminus_int,Aa)),Aa))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Aa)).
% 115.18/114.03  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(uminus_uminus_rat,Aa)),zero_zero_rat))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),Aa)).
% 115.18/114.03  0 [] hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(uminus_uminus_rat,Aa)),zero_zero_rat))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),Aa)).
% 115.18/114.03  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(uminus_uminus_real,Aa)),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Aa)).
% 115.18/114.03  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(uminus_uminus_real,Aa)),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Aa)).
% 115.18/114.03  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(uminus_uminus_int,Aa)),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Aa)).
% 115.18/114.03  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(uminus_uminus_int,Aa)),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Aa)).
% 115.18/114.03  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Aa),hAPP_rat_rat(uminus_uminus_rat,Aa)))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Aa),zero_zero_rat)).
% 115.18/114.03  0 [] hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Aa),hAPP_rat_rat(uminus_uminus_rat,Aa)))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Aa),zero_zero_rat)).
% 115.18/114.03  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),hAPP_real_real(uminus_uminus_real,Aa)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),zero_zero_real)).
% 115.18/114.03  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),hAPP_real_real(uminus_uminus_real,Aa)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),zero_zero_real)).
% 115.18/114.03  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),hAPP_int_int(uminus_uminus_int,Aa)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),zero_zero_int)).
% 115.18/114.03  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),hAPP_int_int(uminus_uminus_int,Aa)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),zero_zero_int)).
% 115.18/114.03  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),hAPP_rat_rat(uminus_uminus_rat,Aa)))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Aa),zero_zero_rat)).
% 115.18/114.03  0 [] hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),hAPP_rat_rat(uminus_uminus_rat,Aa)))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Aa),zero_zero_rat)).
% 115.18/114.03  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(uminus_uminus_real,Aa)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),zero_zero_real)).
% 115.18/114.03  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(uminus_uminus_real,Aa)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),zero_zero_real)).
% 115.18/114.03  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(uminus_uminus_int,Aa)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),zero_zero_int)).
% 115.18/114.03  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(uminus_uminus_int,Aa)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),zero_zero_int)).
% 115.18/114.03  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Ba),hAPP_i1948725293t_bool(d22set,Aa)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Ba),Aa)).
% 115.18/114.03  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(uminus_uminus_rat,Aa)),Aa))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),Aa)).
% 115.18/114.03  0 [] hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(uminus_uminus_rat,Aa)),Aa))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),Aa)).
% 115.18/114.03  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(uminus_uminus_real,Aa)),Aa))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Aa)).
% 115.18/114.03  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(uminus_uminus_real,Aa)),Aa))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Aa)).
% 115.18/114.03  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(uminus_uminus_int,Aa)),Aa))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Aa)).
% 115.18/114.03  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(uminus_uminus_int,Aa)),Aa))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Aa)).
% 115.18/114.03  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(uminus_uminus_rat,Aa)),zero_zero_rat))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),Aa)).
% 115.18/114.03  0 [] hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(uminus_uminus_rat,Aa)),zero_zero_rat))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),Aa)).
% 115.18/114.03  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(uminus_uminus_real,Aa)),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Aa)).
% 115.18/114.03  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(uminus_uminus_real,Aa)),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Aa)).
% 115.18/114.03  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(uminus_uminus_int,Aa)),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Aa)).
% 115.18/114.03  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(uminus_uminus_int,Aa)),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Aa)).
% 115.18/114.03  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Aa),hAPP_rat_rat(uminus_uminus_rat,Aa)))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Aa),zero_zero_rat)).
% 115.18/114.03  0 [] hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Aa),hAPP_rat_rat(uminus_uminus_rat,Aa)))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Aa),zero_zero_rat)).
% 115.18/114.03  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),hAPP_real_real(uminus_uminus_real,Aa)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),zero_zero_real)).
% 115.18/114.03  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),hAPP_real_real(uminus_uminus_real,Aa)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),zero_zero_real)).
% 115.18/114.03  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),hAPP_int_int(uminus_uminus_int,Aa)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),zero_zero_int)).
% 115.18/114.03  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),hAPP_int_int(uminus_uminus_int,Aa)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),zero_zero_int)).
% 115.18/114.03  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),hAPP_rat_rat(uminus_uminus_rat,Aa)))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Aa),zero_zero_rat)).
% 115.18/114.03  0 [] hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),hAPP_rat_rat(uminus_uminus_rat,Aa)))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Aa),zero_zero_rat)).
% 115.18/114.03  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(uminus_uminus_real,Aa)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),zero_zero_real)).
% 115.18/114.03  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(uminus_uminus_real,Aa)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),zero_zero_real)).
% 115.18/114.03  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(uminus_uminus_int,Aa)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),zero_zero_int)).
% 115.18/114.03  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(uminus_uminus_int,Aa)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),zero_zero_int)).
% 115.18/114.03  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_42),hAPP_rat_rat(uminus_uminus_rat,A_42))=zero_zero_rat.
% 115.18/114.03  0 [] hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_42),hAPP_complex_complex(uminus473333897omplex,A_42))=zero_zero_complex.
% 115.18/114.03  0 [] hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_42),hAPP_real_real(uminus_uminus_real,A_42))=zero_zero_real.
% 115.18/114.03  0 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_42),hAPP_int_int(uminus_uminus_int,A_42))=zero_zero_int.
% 115.18/114.03  0 [] Aa!=hAPP_rat_rat(uminus_uminus_rat,Ba)|hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,Aa),Ba)=zero_zero_rat.
% 115.18/114.03  0 [] Aa=hAPP_rat_rat(uminus_uminus_rat,Ba)|hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,Aa),Ba)!=zero_zero_rat.
% 115.18/114.03  0 [] Aa!=hAPP_complex_complex(uminus473333897omplex,Ba)|hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,Aa),Ba)=zero_zero_complex.
% 115.18/114.03  0 [] Aa=hAPP_complex_complex(uminus473333897omplex,Ba)|hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,Aa),Ba)!=zero_zero_complex.
% 115.18/114.03  0 [] Aa!=hAPP_real_real(uminus_uminus_real,Ba)|hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Aa),Ba)=zero_zero_real.
% 115.18/114.03  0 [] Aa=hAPP_real_real(uminus_uminus_real,Ba)|hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Aa),Ba)!=zero_zero_real.
% 115.18/114.03  0 [] Aa!=hAPP_int_int(uminus_uminus_int,Ba)|hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Aa),Ba)=zero_zero_int.
% 115.18/114.03  0 [] Aa=hAPP_int_int(uminus_uminus_int,Ba)|hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Aa),Ba)!=zero_zero_int.
% 115.18/114.03  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(uminus_uminus_rat,A_41)),A_41)=zero_zero_rat.
% 115.18/114.03  0 [] hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(uminus473333897omplex,A_41)),A_41)=zero_zero_complex.
% 115.18/114.03  0 [] hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(uminus_uminus_real,A_41)),A_41)=zero_zero_real.
% 115.18/114.03  0 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(uminus_uminus_int,A_41)),A_41)=zero_zero_int.
% 115.18/114.03  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(uminus_uminus_rat,A_40)),A_40)=zero_zero_rat.
% 115.18/114.03  0 [] hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(uminus473333897omplex,A_40)),A_40)=zero_zero_complex.
% 115.18/114.03  0 [] hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(uminus_uminus_real,A_40)),A_40)=zero_zero_real.
% 115.18/114.03  0 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(uminus_uminus_int,A_40)),A_40)=zero_zero_int.
% 115.18/114.03  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,X_1),Y_2)!=zero_zero_rat|Y_2=hAPP_rat_rat(uminus_uminus_rat,X_1).
% 115.18/114.03  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,X_1),Y_2)=zero_zero_rat|Y_2!=hAPP_rat_rat(uminus_uminus_rat,X_1).
% 115.18/114.03  0 [] hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,X_1),Y_2)!=zero_zero_complex|Y_2=hAPP_complex_complex(uminus473333897omplex,X_1).
% 115.18/114.03  0 [] hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,X_1),Y_2)=zero_zero_complex|Y_2!=hAPP_complex_complex(uminus473333897omplex,X_1).
% 115.18/114.03  0 [] hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_1),Y_2)!=zero_zero_real|Y_2=hAPP_real_real(uminus_uminus_real,X_1).
% 115.18/114.03  0 [] hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_1),Y_2)=zero_zero_real|Y_2!=hAPP_real_real(uminus_uminus_real,X_1).
% 115.18/114.03  0 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_1),Y_2)!=zero_zero_int|Y_2=hAPP_int_int(uminus_uminus_int,X_1).
% 115.18/114.03  0 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_1),Y_2)=zero_zero_int|Y_2!=hAPP_int_int(uminus_uminus_int,X_1).
% 115.18/114.03  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_39),B_32)!=zero_zero_rat|hAPP_rat_rat(uminus_uminus_rat,A_39)=B_32.
% 115.18/114.03  0 [] hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_39),B_32)!=zero_zero_complex|hAPP_complex_complex(uminus473333897omplex,A_39)=B_32.
% 115.18/114.03  0 [] hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_39),B_32)!=zero_zero_real|hAPP_real_real(uminus_uminus_real,A_39)=B_32.
% 115.18/114.03  0 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_39),B_32)!=zero_zero_int|hAPP_int_int(uminus_uminus_int,A_39)=B_32.
% 115.18/114.03  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,zero_zero_rat),A_38)=hAPP_rat_rat(uminus_uminus_rat,A_38).
% 115.18/114.03  0 [] hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,zero_zero_complex),A_38)=hAPP_complex_complex(uminus473333897omplex,A_38).
% 115.18/114.03  0 [] hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,zero_zero_real),A_38)=hAPP_real_real(uminus_uminus_real,A_38).
% 115.18/114.03  0 [] hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,zero_zero_int),A_38)=hAPP_int_int(uminus_uminus_int,A_38).
% 115.18/114.03  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,X_1),X_1)!=one_one_rat|X_1=one_one_rat|X_1=hAPP_rat_rat(uminus_uminus_rat,one_one_rat).
% 115.18/114.03  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,X_1),X_1)=one_one_rat|X_1!=one_one_rat.
% 115.18/114.03  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,X_1),X_1)=one_one_rat|X_1!=hAPP_rat_rat(uminus_uminus_rat,one_one_rat).
% 115.18/114.03  0 [] hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,X_1),X_1)!=one_one_complex|X_1=one_one_complex|X_1=hAPP_complex_complex(uminus473333897omplex,one_one_complex).
% 115.18/114.03  0 [] hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,X_1),X_1)=one_one_complex|X_1!=one_one_complex.
% 115.18/114.03  0 [] hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,X_1),X_1)=one_one_complex|X_1!=hAPP_complex_complex(uminus473333897omplex,one_one_complex).
% 115.18/114.03  0 [] hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_1),X_1)!=one_one_real|X_1=one_one_real|X_1=hAPP_real_real(uminus_uminus_real,one_one_real).
% 115.18/114.03  0 [] hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_1),X_1)=one_one_real|X_1!=one_one_real.
% 115.18/114.03  0 [] hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_1),X_1)=one_one_real|X_1!=hAPP_real_real(uminus_uminus_real,one_one_real).
% 115.18/114.03  0 [] hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_1),X_1)!=one_one_int|X_1=one_one_int|X_1=hAPP_int_int(uminus_uminus_int,one_one_int).
% 115.18/114.03  0 [] hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_1),X_1)=one_one_int|X_1!=one_one_int.
% 115.18/114.03  0 [] hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_1),X_1)=one_one_int|X_1!=hAPP_int_int(uminus_uminus_int,one_one_int).
% 115.18/114.03  0 [] hAPP_rat_rat(uminus_uminus_rat,X_10)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(uminus_uminus_rat,one_one_rat)),X_10).
% 115.18/114.03  0 [] hAPP_complex_complex(uminus473333897omplex,X_10)=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(uminus473333897omplex,one_one_complex)),X_10).
% 115.18/114.03  0 [] hAPP_real_real(uminus_uminus_real,X_10)=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(uminus_uminus_real,one_one_real)),X_10).
% 115.18/114.03  0 [] hAPP_int_int(uminus_uminus_int,X_10)=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(uminus_uminus_int,one_one_int)),X_10).
% 115.18/114.03  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,A_37),hAPP_rat_rat(uminus_uminus_rat,B_31))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_37),B_31).
% 115.18/114.03  0 [] hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,A_37),hAPP_complex_complex(uminus473333897omplex,B_31))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_37),B_31).
% 115.18/114.03  0 [] hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,A_37),hAPP_real_real(uminus_uminus_real,B_31))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_37),B_31).
% 115.18/114.03  0 [] hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_37),hAPP_int_int(uminus_uminus_int,B_31))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_37),B_31).
% 115.18/114.03  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,A_36),B_30)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_36),hAPP_rat_rat(uminus_uminus_rat,B_30)).
% 115.18/114.03  0 [] hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,A_36),B_30)=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_36),hAPP_complex_complex(uminus473333897omplex,B_30)).
% 115.18/114.03  0 [] hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,A_36),B_30)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_36),hAPP_real_real(uminus_uminus_real,B_30)).
% 115.18/114.03  0 [] hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_36),B_30)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_36),hAPP_int_int(uminus_uminus_int,B_30)).
% 115.18/114.03  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,A_35),B_29)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_35),hAPP_rat_rat(uminus_uminus_rat,B_29)).
% 115.18/114.03  0 [] hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,A_35),B_29)=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_35),hAPP_complex_complex(uminus473333897omplex,B_29)).
% 115.18/114.03  0 [] hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,A_35),B_29)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_35),hAPP_real_real(uminus_uminus_real,B_29)).
% 115.18/114.03  0 [] hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_35),B_29)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_35),hAPP_int_int(uminus_uminus_int,B_29)).
% 115.18/114.03  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,X_9),Y_10)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,X_9),hAPP_rat_rat(uminus_uminus_rat,Y_10)).
% 115.18/114.03  0 [] hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,X_9),Y_10)=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,X_9),hAPP_complex_complex(uminus473333897omplex,Y_10)).
% 115.18/114.03  0 [] hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X_9),Y_10)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_9),hAPP_real_real(uminus_uminus_real,Y_10)).
% 115.18/114.03  0 [] hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_9),Y_10)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_9),hAPP_int_int(uminus_uminus_int,Y_10)).
% 115.18/114.03  0 [] -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(div_mod_int(A_2),B_1)),B_1)).
% 115.18/114.03  0 [] -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,B_1),hAPP_int_int(div_mod_int(A_2),B_1))).
% 115.18/114.03  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(div_mod_int(X),Y))).
% 115.18/114.03  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),M_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(div_mod_int(M_1),K_2)),M_1)).
% 115.18/114.03  0 [] hAPP_int_int(div_mod_int(M),D)!=zero_zero_int|M=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,D),$f164(M,D)).
% 115.18/114.03  0 [] hAPP_int_int(div_mod_int(M),D)=zero_zero_int|M!=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,D),Q_3).
% 115.18/114.03  0 [] hAPP_int_int(abs_abs_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,M_1),N_1))!=one_one_int|hAPP_int_int(abs_abs_int,M_1)=one_one_int.
% 115.18/114.03  0 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(uminus_uminus_int,Z_1)),Z_1)=zero_zero_int.
% 115.18/114.03  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),zero_zero_int)).
% 115.18/114.03  0 [] 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).
% 115.18/114.03  0 [] 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)).
% 115.18/114.03  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_1))|hAPP_int_int(div_mod_int(hAPP_int_int(number_number_of_int,min)),B_1)=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,B_1),one_one_int).
% 115.18/114.03  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),A_34))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),B_28))|hAPP_rat_rat(abs_abs_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_34),B_28))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(abs_abs_rat,A_34)),hAPP_rat_rat(abs_abs_rat,B_28)).
% 115.18/114.03  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),A_34))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,B_28),zero_zero_rat))|hAPP_rat_rat(abs_abs_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_34),B_28))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(abs_abs_rat,A_34)),hAPP_rat_rat(abs_abs_rat,B_28)).
% 115.18/114.03  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_34),zero_zero_rat))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),B_28))|hAPP_rat_rat(abs_abs_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_34),B_28))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(abs_abs_rat,A_34)),hAPP_rat_rat(abs_abs_rat,B_28)).
% 115.18/114.03  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_34),zero_zero_rat))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,B_28),zero_zero_rat))|hAPP_rat_rat(abs_abs_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_34),B_28))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(abs_abs_rat,A_34)),hAPP_rat_rat(abs_abs_rat,B_28)).
% 115.18/114.03  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_34))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B_28))|hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_34),B_28))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(abs_abs_real,A_34)),hAPP_real_real(abs_abs_real,B_28)).
% 115.18/114.03  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_34))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_28),zero_zero_real))|hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_34),B_28))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(abs_abs_real,A_34)),hAPP_real_real(abs_abs_real,B_28)).
% 115.18/114.03  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_34),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B_28))|hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_34),B_28))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(abs_abs_real,A_34)),hAPP_real_real(abs_abs_real,B_28)).
% 115.18/114.03  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_34),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_28),zero_zero_real))|hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_34),B_28))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(abs_abs_real,A_34)),hAPP_real_real(abs_abs_real,B_28)).
% 115.18/114.03  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_34))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_28))|hAPP_int_int(abs_abs_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_34),B_28))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(abs_abs_int,A_34)),hAPP_int_int(abs_abs_int,B_28)).
% 115.18/114.03  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_34))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_28),zero_zero_int))|hAPP_int_int(abs_abs_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_34),B_28))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(abs_abs_int,A_34)),hAPP_int_int(abs_abs_int,B_28)).
% 115.18/114.03  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_34),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_28))|hAPP_int_int(abs_abs_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_34),B_28))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(abs_abs_int,A_34)),hAPP_int_int(abs_abs_int,B_28)).
% 115.18/114.03  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_34),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_28),zero_zero_int))|hAPP_int_int(abs_abs_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_34),B_28))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(abs_abs_int,A_34)),hAPP_int_int(abs_abs_int,B_28)).
% 115.18/114.03  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),X_8))|hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(abs_abs_rat,Y_9)),X_8)=hAPP_rat_rat(abs_abs_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Y_9),X_8)).
% 115.18/114.03  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_8))|hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(abs_abs_real,Y_9)),X_8)=hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Y_9),X_8)).
% 115.18/114.03  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_8))|hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(abs_abs_int,Y_9)),X_8)=hAPP_int_int(abs_abs_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Y_9),X_8)).
% 115.18/114.03  0 [] 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_33),B_27)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C_15),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_33),C_15))),hAPP_rat_rat(abs_abs_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,B_27),D_5))))).
% 115.18/114.03  0 [] 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_33),B_27)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C_15),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_33),C_15))),hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,B_27),D_5))))).
% 115.18/114.03  0 [] 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_33),B_27)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_15),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_33),C_15))),hAPP_int_int(abs_abs_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,B_27),D_5))))).
% 115.18/114.03  0 [] 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_32),B_26))),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(abs_abs_rat,A_32)),hAPP_rat_rat(abs_abs_rat,B_26)))).
% 115.18/114.03  0 [] 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_32),B_26))),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(abs_abs_real,A_32)),hAPP_real_real(abs_abs_real,B_26)))).
% 115.18/114.03  0 [] 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_32),B_26))),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(abs_abs_int,A_32)),hAPP_int_int(abs_abs_int,B_26)))).
% 115.18/114.03  0 [] -hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,Aa),ring_1_Ints_real))|hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Aa),Aa)!=zero_zero_real|Aa=zero_zero_real.
% 115.18/114.03  0 [] -hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,Aa),ring_1_Ints_real))|hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Aa),Aa)=zero_zero_real|Aa!=zero_zero_real.
% 115.18/114.03  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Aa),ring_1_Ints_int))|hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Aa),Aa)!=zero_zero_int|Aa=zero_zero_int.
% 115.18/114.03  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Aa),ring_1_Ints_int))|hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Aa),Aa)=zero_zero_int|Aa!=zero_zero_int.
% 115.18/114.03  0 [] -hBOOL(hAPP_f311463272l_bool(hAPP_r1889917837l_bool(member_rat,Aa),ring_1_Ints_rat))|hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,Aa),Aa)!=zero_zero_rat|Aa=zero_zero_rat.
% 115.18/114.03  0 [] -hBOOL(hAPP_f311463272l_bool(hAPP_r1889917837l_bool(member_rat,Aa),ring_1_Ints_rat))|hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,Aa),Aa)=zero_zero_rat|Aa!=zero_zero_rat.
% 115.18/114.03  0 [] -hBOOL(hAPP_f1734966846l_bool(hAPP_c769186317l_bool(member_complex,Aa),ring_1_Ints_complex))|hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,Aa),Aa)!=zero_zero_complex|Aa=zero_zero_complex.
% 115.18/114.03  0 [] -hBOOL(hAPP_f1734966846l_bool(hAPP_c769186317l_bool(member_complex,Aa),ring_1_Ints_complex))|hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,Aa),Aa)=zero_zero_complex|Aa!=zero_zero_complex.
% 115.18/114.03  0 [] -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.
% 115.18/114.03  0 [] 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.
% 115.18/114.03  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_2),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_1),A_2))|hAPP_int_int(div_mod_int(A_2),B_1)=A_2.
% 115.18/114.03  0 [] -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,hAPP_int_int(div_mod_int(A_2),B_1)),zero_zero_int)).
% 115.18/114.03  0 [] -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,B_1),hAPP_int_int(div_mod_int(A_2),B_1))).
% 115.18/114.03  0 [] -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,hAPP_int_int(div_mod_int(A_2),B_1)),zero_zero_int)).
% 115.18/114.03  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_2),B_1))|hAPP_int_int(div_mod_int(A_2),B_1)=A_2.
% 115.18/114.03  0 [] -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(div_mod_int(A_2),B_1))).
% 115.18/114.03  0 [] -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(div_mod_int(A_2),B_1)),B_1)).
% 115.18/114.03  0 [] -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(div_mod_int(A_2),B_1))).
% 115.18/114.03  0 [] posDivAlg(zero_zero_int,B_1)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,zero_zero_int),zero_zero_int).
% 115.18/114.03  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,hAPP_int_rat(number_number_of_rat,V_5)),hAPP_int_rat(number_number_of_rat,W_4))=hAPP_int_rat(number_number_of_rat,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_5),hAPP_int_int(uminus_uminus_int,W_4))).
% 115.18/114.03  0 [] hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,hAPP_int_complex(number528085621omplex,V_5)),hAPP_int_complex(number528085621omplex,W_4))=hAPP_int_complex(number528085621omplex,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_5),hAPP_int_int(uminus_uminus_int,W_4))).
% 115.18/114.03  0 [] hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_int_real(number267125858f_real,V_5)),hAPP_int_real(number267125858f_real,W_4))=hAPP_int_real(number267125858f_real,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_5),hAPP_int_int(uminus_uminus_int,W_4))).
% 115.18/114.03  0 [] hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(number_number_of_int,V_5)),hAPP_int_int(number_number_of_int,W_4))=hAPP_int_int(number_number_of_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_5),hAPP_int_int(uminus_uminus_int,W_4))).
% 115.18/114.03  0 [] hAPP_int_int(hAPP_int_fun_int_int(times_times_int,M_1),N_1)!=one_one_int|M_1=one_one_int|M_1=hAPP_int_int(number_number_of_int,min).
% 115.18/114.03  0 [] 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).
% 115.18/114.03  0 [] hAPP_int_int(hAPP_int_fun_int_int(times_times_int,M),N)!=one_one_int|M=one_one_int|N=hAPP_int_int(number_number_of_int,min).
% 115.18/114.03  0 [] hAPP_int_int(hAPP_int_fun_int_int(times_times_int,M),N)!=one_one_int|N=one_one_int|M=hAPP_int_int(number_number_of_int,min).
% 115.18/114.03  0 [] hAPP_int_int(hAPP_int_fun_int_int(times_times_int,M),N)!=one_one_int|N=one_one_int|N=hAPP_int_int(number_number_of_int,min).
% 115.18/114.03  0 [] hAPP_int_int(hAPP_int_fun_int_int(times_times_int,M),N)=one_one_int|M!=one_one_int|N!=one_one_int.
% 115.18/114.03  0 [] hAPP_int_int(hAPP_int_fun_int_int(times_times_int,M),N)=one_one_int|M!=hAPP_int_int(number_number_of_int,min)|N!=hAPP_int_int(number_number_of_int,min).
% 115.18/114.03  0 [] hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(number_number_of_int,V_2)),hAPP_int_int(number_number_of_int,W))=hAPP_int_int(number_number_of_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_2),hAPP_int_int(uminus_uminus_int,W))).
% 115.18/114.03  0 [] -hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A_2,B_1),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Q_1),R_3)))|B_1=zero_zero_int|hAPP_int_int(div_mod_int(A_2),B_1)=R_3.
% 115.18/114.03  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Ba),hAPP_i1948725293t_bool(d22set,Aa)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),Ba)).
% 115.18/114.03  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_2),B_1)),zero_zero_int))|hAPP_int_int(div_mod_int(A_2),B_1)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_2),B_1).
% 115.18/114.03  0 [] 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,C_14),hAPP_int_rat(number_number_of_rat,W_3)))=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_4),hAPP_int_int(uminus_uminus_int,W_3)))),C_14).
% 115.18/114.03  0 [] hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_int_complex(number528085621omplex,V_4)),hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,C_14),hAPP_int_complex(number528085621omplex,W_3)))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_int_complex(number528085621omplex,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_4),hAPP_int_int(uminus_uminus_int,W_3)))),C_14).
% 115.18/114.03  0 [] 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,C_14),hAPP_int_real(number267125858f_real,W_3)))=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_4),hAPP_int_int(uminus_uminus_int,W_3)))),C_14).
% 115.18/114.04  0 [] 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,C_14),hAPP_int_int(number_number_of_int,W_3)))=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_4),hAPP_int_int(uminus_uminus_int,W_3)))),C_14).
% 115.18/114.04  0 [] -hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,Aa),ring_1_Ints_real))|hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,one_one_real),Aa)),Aa)!=zero_zero_real.
% 115.18/114.04  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Aa),ring_1_Ints_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),Aa)),Aa)!=zero_zero_int.
% 115.18/114.04  0 [] -hBOOL(hAPP_f311463272l_bool(hAPP_r1889917837l_bool(member_rat,Aa),ring_1_Ints_rat))|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),Aa)),Aa)!=zero_zero_rat.
% 115.18/114.04  0 [] -hBOOL(hAPP_f1734966846l_bool(hAPP_c769186317l_bool(member_complex,Aa),ring_1_Ints_complex))|hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,one_one_complex),Aa)),Aa)!=zero_zero_complex.
% 115.18/114.04  0 [] A_12!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_10),Q_5)),Y)|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_10))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_10),Y))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y),zero_zero_int))|B_10=zero_zero_int|hAPP_int_int(div_mod_int(A_12),B_10)=Y.
% 115.18/114.04  0 [] A_12!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_10),Q_5)),Y)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y),B_10))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_10))|B_10=zero_zero_int|hAPP_int_int(div_mod_int(A_12),B_10)=Y.
% 115.18/114.04  0 [] A_12!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_10),Q_5)),Y)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y),B_10))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_10),Y))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y),zero_zero_int))|B_10=zero_zero_int|hAPP_int_int(div_mod_int(A_12),B_10)=Y.
% 115.18/114.04  0 [] -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_1),R_3))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,R_3),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_1),hAPP_int_int(div_mod_int(Q_1),C_1))),R_3)),zero_zero_int)).
% 115.18/114.04  0 [] -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_1),R_3))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,R_3),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_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_1),hAPP_int_int(div_mod_int(Q_1),C_1))),R_3))).
% 115.18/114.04  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),R_3))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_3),B_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,B_1),hAPP_int_int(div_mod_int(Q_1),C_1))),R_3)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_1),C_1))).
% 115.18/114.04  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),R_3))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_3),B_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(hAPP_int_fun_int_int(times_times_int,B_1),hAPP_int_int(div_mod_int(Q_1),C_1))),R_3))).
% 115.18/114.04  0 [] hAPP_int_int(div_mod_int(M_6),D_4)!=zero_zero_int|M_6=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,D_4),$f165(M_6,D_4)).
% 115.18/114.04  0 [] L_2!=zero_zero_int|pdivmod(K_2,L_2)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,zero_zero_int),hAPP_int_int(abs_abs_int,K_2)).
% 115.18/114.04  0 [] L_2=zero_zero_int|pdivmod(K_2,L_2)=posDivAlg(hAPP_int_int(abs_abs_int,K_2),hAPP_int_int(abs_abs_int,L_2)).
% 115.18/114.04  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),L_2))|hAPP_int_int(z3mod(K_2),L_2)=hAPP_int_int(div_mod_int(K_2),L_2).
% 115.18/114.04  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),L_2))|hAPP_int_int(z3mod(K_2),L_2)=hAPP_int_int(div_mod_int(K_2),hAPP_int_int(uminus_uminus_int,L_2)).
% 115.18/114.04  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,R_3),zero_zero_int))|xzgcda(M_1,N_1,R_5,R_3,S_4,S_2,T_3,T_2)=hAPP_P408881810nt_int(hAPP_i1730167831nt_int(produc282740534nt_int,R_5),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,S_4),T_3)).
% 115.18/114.04  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,R_3),zero_zero_int))|xzgcda(M_1,N_1,R_5,R_3,S_4,S_2,T_3,T_2)=xzgcda(M_1,N_1,R_3,hAPP_int_int(div_mod_int(R_5),R_3),S_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,S_4),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,R_5),R_3)),S_2)),T_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,T_3),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,R_5),R_3)),T_2))).
% 115.18/114.04  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f166(K_1,F,N)),N))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(F,zero_zero_nat)),K_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),hAPP_nat_int(F,N)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,$f167(K_1,F,N)),N)).
% 115.18/114.04  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f166(K_1,F,N)),N))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(F,zero_zero_nat)),K_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),hAPP_nat_int(F,N)))|hAPP_nat_int(F,$f167(K_1,F,N))=K_1.
% 115.18/114.04  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(abs_abs_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_nat_int(F,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,$f166(K_1,F,N)),one_one_nat))),hAPP_nat_int(F,$f166(K_1,F,N))))),one_one_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(F,zero_zero_nat)),K_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),hAPP_nat_int(F,N)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,$f167(K_1,F,N)),N)).
% 115.18/114.04  0 [] -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,$f166(K_1,F,N)),one_one_nat))),hAPP_nat_int(F,$f166(K_1,F,N))))),one_one_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(F,zero_zero_nat)),K_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),hAPP_nat_int(F,N)))|hAPP_nat_int(F,$f167(K_1,F,N))=K_1.
% 115.18/114.04  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f168(K_1,F,N)),N))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(F,zero_zero_nat)),K_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),hAPP_nat_int(F,N)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,$f169(K_1,F,N)),N)).
% 115.18/114.04  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f168(K_1,F,N)),N))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(F,zero_zero_nat)),K_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),hAPP_nat_int(F,N)))|hAPP_nat_int(F,$f169(K_1,F,N))=K_1.
% 115.18/114.04  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(abs_abs_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_nat_int(F,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,$f168(K_1,F,N)),one_one_nat))),hAPP_nat_int(F,$f168(K_1,F,N))))),one_one_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(F,zero_zero_nat)),K_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),hAPP_nat_int(F,N)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,$f169(K_1,F,N)),N)).
% 115.18/114.04  0 [] -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,$f168(K_1,F,N)),one_one_nat))),hAPP_nat_int(F,$f168(K_1,F,N))))),one_one_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(F,zero_zero_nat)),K_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),hAPP_nat_int(F,N)))|hAPP_nat_int(F,$f169(K_1,F,N))=K_1.
% 115.18/114.04  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),$f170(K_1,F,N,M)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(F,M)),K_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),hAPP_nat_int(F,N)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),$f171(K_1,F,N,M))).
% 115.18/114.04  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),$f170(K_1,F,N,M)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(F,M)),K_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),hAPP_nat_int(F,N)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,$f171(K_1,F,N,M)),N)).
% 115.18/114.04  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),$f170(K_1,F,N,M)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(F,M)),K_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),hAPP_nat_int(F,N)))|hAPP_nat_int(F,$f171(K_1,F,N,M))=K_1.
% 115.18/114.04  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f170(K_1,F,N,M)),N))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(F,M)),K_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),hAPP_nat_int(F,N)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),$f171(K_1,F,N,M))).
% 115.18/114.04  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f170(K_1,F,N,M)),N))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(F,M)),K_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),hAPP_nat_int(F,N)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,$f171(K_1,F,N,M)),N)).
% 115.18/114.04  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f170(K_1,F,N,M)),N))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(F,M)),K_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),hAPP_nat_int(F,N)))|hAPP_nat_int(F,$f171(K_1,F,N,M))=K_1.
% 115.18/114.04  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(abs_abs_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_nat_int(F,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,$f170(K_1,F,N,M)),one_one_nat))),hAPP_nat_int(F,$f170(K_1,F,N,M))))),one_one_int))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(F,M)),K_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),hAPP_nat_int(F,N)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),$f171(K_1,F,N,M))).
% 115.18/114.04  0 [] -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,$f170(K_1,F,N,M)),one_one_nat))),hAPP_nat_int(F,$f170(K_1,F,N,M))))),one_one_int))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(F,M)),K_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),hAPP_nat_int(F,N)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,$f171(K_1,F,N,M)),N)).
% 115.18/114.04  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(abs_abs_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_nat_int(F,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,$f170(K_1,F,N,M)),one_one_nat))),hAPP_nat_int(F,$f170(K_1,F,N,M))))),one_one_int))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(F,M)),K_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),hAPP_nat_int(F,N)))|hAPP_nat_int(F,$f171(K_1,F,N,M))=K_1.
% 115.18/114.04  0 [] negDivAlg(hAPP_int_int(number_number_of_int,min),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(minus_minus_int,B_1),one_one_int)).
% 115.18/114.04  0 [] -hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A_2,B_1),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Q_1),R_3)))|B_1=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_2,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_1),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_1),hAPP_int_int(div_mod_int(Q_1),C_1))),R_3)))).
% 115.18/114.04  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_1),X_1)))|X_1=zero_zero_real.
% 115.18/114.04  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_1),X_1)))|X_1!=zero_zero_real.
% 115.18/114.04  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(div_mod_nat(M_1),N_1)),N_1)).
% 115.18/114.04  0 [] hAPP_nat_nat(div_mod_nat(M),D)!=zero_zero_nat|M=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,D),$f172(M,D)).
% 115.18/114.04  0 [] hAPP_nat_nat(div_mod_nat(M),D)=zero_zero_nat|M!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,D),Q_3).
% 115.18/114.04  0 [] M_1!=zero_zero_nat|hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),N_1)=zero_zero_nat.
% 115.18/114.04  0 [] M_1=zero_zero_nat|hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),N_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),one_one_nat)),N_1)).
% 115.18/114.04  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1))|hAPP_nat_nat(div_mod_nat(M_1),N_1)=M_1.
% 115.18/114.04  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1))|hAPP_nat_nat(div_mod_nat(M_1),N_1)=hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N_1)),N_1).
% 115.18/114.04  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1))|hAPP_nat_nat(div_mod_nat(M_1),N_1)=hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N_1)),N_1).
% 115.18/114.04  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(div_mod_nat(M_1),N_1)),N_1)).
% 115.18/114.04  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1))|hAPP_nat_nat(div_mod_nat(M_1),N_1)=M_1.
% 115.18/114.04  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),C_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,R_3),B_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,B_1),hAPP_nat_nat(div_mod_nat(Q_1),C_1))),R_3)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_1),C_1))).
% 115.18/114.04  0 [] -hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(div_mod_nat(N),K_1)))|K_1!=zero_zero_nat|hBOOL(hAPP_nat_bool(P_1,N)).
% 115.18/114.04  0 [] -hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(div_mod_nat(N),K_1)))|K_1=zero_zero_nat| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J_1),K_1))|N!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),I_2)),J_1)|hBOOL(hAPP_nat_bool(P_1,J_1)).
% 115.18/114.04  0 [] hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(div_mod_nat(N),K_1)))|K_1=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f173(P_1,N,K_1)),K_1)).
% 115.18/114.04  0 [] hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(div_mod_nat(N),K_1)))|K_1=zero_zero_nat|N=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),$f174(P_1,N,K_1))),$f173(P_1,N,K_1)).
% 115.18/114.04  0 [] hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(div_mod_nat(N),K_1)))|K_1=zero_zero_nat| -hBOOL(hAPP_nat_bool(P_1,$f173(P_1,N,K_1))).
% 115.18/114.04  0 [] hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(div_mod_nat(N),K_1)))| -hBOOL(hAPP_nat_bool(P_1,N))|K_1!=zero_zero_nat.
% 115.18/114.04  0 [] hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(div_mod_nat(N),K_1)))| -hBOOL(hAPP_nat_bool(P_1,N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f173(P_1,N,K_1)),K_1)).
% 115.18/114.04  0 [] hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(div_mod_nat(N),K_1)))| -hBOOL(hAPP_nat_bool(P_1,N))|N=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),$f174(P_1,N,K_1))),$f173(P_1,N,K_1)).
% 115.18/114.04  0 [] hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(div_mod_nat(N),K_1)))| -hBOOL(hAPP_nat_bool(P_1,N))| -hBOOL(hAPP_nat_bool(P_1,$f173(P_1,N,K_1))).
% 115.18/114.04  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,R_3),zero_zero_real))|hAPP_real_real(abs_abs_real,R_3)=hAPP_real_real(uminus_uminus_real,R_3).
% 115.18/114.04  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,R_3),zero_zero_real))|hAPP_real_real(abs_abs_real,R_3)=R_3.
% 115.18/114.04  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_2),zero_zero_real))|hAPP_real_real(abs_abs_real,A_2)=hAPP_real_real(uminus_uminus_real,A_2).
% 115.18/114.04  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_2),zero_zero_real))|hAPP_real_real(abs_abs_real,A_2)=A_2.
% 115.18/114.04  0 [] hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_2),N_1)),M_1)),N_1)=hAPP_nat_nat(div_mod_nat(M_1),N_1).
% 115.18/114.04  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),M_1))|hAPP_nat_nat(div_mod_nat(M_1),N_1)=hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N_1)),N_1).
% 115.18/114.04  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(div_mod_nat(M_1),N_1)),M_1)).
% 115.18/114.04  0 [] 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_1))))),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_1)))))).
% 115.18/114.04  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,X_1)),R_2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(uminus_uminus_real,R_2)),X_1)).
% 115.18/114.04  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,X_1)),R_2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),R_2)).
% 115.18/114.04  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,X_1)),R_2))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(uminus_uminus_real,R_2)),X_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),R_2)).
% 115.18/114.04  0 [] -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))).
% 115.18/114.04  0 [] -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))).
% 115.18/114.04  0 [] hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,R_3),S_2)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,R_3),hAPP_real_real(uminus_uminus_real,S_2)).
% 115.18/114.04  0 [] 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)).
% 115.18/114.04  0 [] 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))).
% 115.18/114.04  0 [] -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)).
% 115.18/114.04  0 [] -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)).
% 115.18/114.04  0 [] -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))).
% 115.18/114.04  0 [] -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))).
% 115.18/114.04  0 [] hAPP_int_int(hAPP_int_fun_int_int(div_div_int,zero_zero_int),B_1)=zero_zero_int.
% 115.18/114.04  0 [] 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)))).
% 115.18/114.04  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_1),Y_2)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(uminus_uminus_real,X_1)),Y_2)).
% 115.18/114.04  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_1),Y_2)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(uminus_uminus_real,X_1)),Y_2)).
% 115.18/114.04  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_1),Y_2)),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_2),hAPP_real_real(uminus_uminus_real,X_1))).
% 115.18/114.04  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_1),Y_2)),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_2),hAPP_real_real(uminus_uminus_real,X_1))).
% 115.18/114.04  0 [] hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_1),Y_2)!=zero_zero_real|Y_2=hAPP_real_real(uminus_uminus_real,X_1).
% 115.18/114.04  0 [] hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_1),Y_2)=zero_zero_real|Y_2!=hAPP_real_real(uminus_uminus_real,X_1).
% 115.18/114.04  0 [] hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_1),hAPP_real_real(uminus_uminus_real,Aa))!=zero_zero_real|X_1=Aa.
% 115.18/114.04  0 [] hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_1),hAPP_real_real(uminus_uminus_real,Aa))=zero_zero_real|X_1!=Aa.
% 115.18/114.04  0 [] hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_2),hAPP_int_int(uminus_uminus_int,B_1))=hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(uminus_uminus_int,A_2)),B_1).
% 115.18/114.04  0 [] hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(uminus_uminus_int,A_2)),hAPP_int_int(uminus_uminus_int,B_1))=hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_2),B_1).
% 115.18/114.04  0 [] hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,A_31),zero_z891286103de_int)=zero_z891286103de_int.
% 115.18/114.04  0 [] hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,A_31),zero_z126310315umeral)=zero_z126310315umeral.
% 115.18/114.04  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,A_31),zero_zero_nat)=zero_zero_nat.
% 115.18/114.04  0 [] hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_31),zero_zero_int)=zero_zero_int.
% 115.18/114.04  0 [] hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,zero_z891286103de_int),A_30)=zero_z891286103de_int.
% 115.18/114.04  0 [] hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,zero_z126310315umeral),A_30)=zero_z126310315umeral.
% 115.18/114.04  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,zero_zero_nat),A_30)=zero_zero_nat.
% 115.18/114.04  0 [] hAPP_int_int(hAPP_int_fun_int_int(div_div_int,zero_zero_int),A_30)=zero_zero_int.
% 115.18/114.04  0 [] hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,A_29),one_on1684967323de_int)=A_29.
% 115.18/114.04  0 [] hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,A_29),one_on1645066479umeral)=A_29.
% 115.18/114.04  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,A_29),one_one_nat)=A_29.
% 115.18/114.04  0 [] hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_29),one_one_int)=A_29.
% 115.18/114.04  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_2),zero_zero_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_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_2),B_1)),zero_zero_int)).
% 115.18/114.04  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Ba),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,Aa),Ba)),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Aa)).
% 115.18/114.04  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Ba),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,Aa),Ba)),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Aa)).
% 115.18/114.04  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Ba))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,Aa),Ba)),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),zero_zero_int)).
% 115.18/114.04  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Ba))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,Aa),Ba)),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),zero_zero_int)).
% 115.18/114.04  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,X),Y))).
% 115.18/114.04  0 [] A_2=zero_zero_int|hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_2),A_2)=one_one_int.
% 115.18/114.04  0 [] hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(div_mod_int(A_2),B_1)),B_1)=zero_zero_int.
% 115.18/114.04  0 [] hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_2),zero_zero_int)=zero_zero_int.
% 115.18/114.04  0 [] hAPP_int_int(div_mod_int(A_2),zero_zero_int)=A_2.
% 115.18/114.04  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_1),Y_2)),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_2),hAPP_real_real(uminus_uminus_real,X_1))).
% 115.18/114.04  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_1),Y_2)),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_2),hAPP_real_real(uminus_uminus_real,X_1))).
% 115.18/114.04  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_1),Y_2)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(uminus_uminus_real,X_1)),Y_2)).
% 115.18/114.04  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_1),Y_2)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(uminus_uminus_real,X_1)),Y_2)).
% 115.18/114.04  0 [] 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))).
% 115.18/114.04  0 [] hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_2),B_1)),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_2),C_1)),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,B_1),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_2),C_1)),hAPP_int_int(div_mod_int(B_1),C_1))),C_1)).
% 115.18/114.04  0 [] 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))).
% 115.18/114.04  0 [] C_13!=zero_z891286103de_int|hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_13),A_28)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_13),B_25))=zero_z891286103de_int.
% 115.18/114.04  0 [] C_13=zero_z891286103de_int|hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_13),A_28)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_13),B_25))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,A_28),B_25).
% 115.18/114.04  0 [] C_13!=zero_z126310315umeral|hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_13),A_28)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_13),B_25))=zero_z126310315umeral.
% 115.18/114.04  0 [] C_13=zero_z126310315umeral|hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_13),A_28)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_13),B_25))=hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,A_28),B_25).
% 115.18/114.04  0 [] C_13!=zero_zero_nat|hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_13),A_28)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_13),B_25))=zero_zero_nat.
% 115.18/114.04  0 [] C_13=zero_zero_nat|hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_13),A_28)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_13),B_25))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,A_28),B_25).
% 115.18/114.04  0 [] C_13!=zero_zero_int|hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_13),A_28)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_13),B_25))=zero_zero_int.
% 115.18/114.04  0 [] C_13=zero_zero_int|hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_13),A_28)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_13),B_25))=hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_28),B_25).
% 115.18/114.04  0 [] B_24=zero_z891286103de_int|hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_27),B_24)),B_24)=A_27.
% 115.18/114.04  0 [] B_24=zero_z126310315umeral|hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_27),B_24)),B_24)=A_27.
% 115.18/114.04  0 [] B_24=zero_zero_nat|hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_27),B_24)),B_24)=A_27.
% 115.18/114.04  0 [] B_24=zero_zero_int|hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_27),B_24)),B_24)=A_27.
% 115.18/114.04  0 [] B_23=zero_z891286103de_int|hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_23),A_26)),B_23)=A_26.
% 115.18/114.04  0 [] B_23=zero_z126310315umeral|hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_23),A_26)),B_23)=A_26.
% 115.18/114.04  0 [] B_23=zero_zero_nat|hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_23),A_26)),B_23)=A_26.
% 115.18/114.04  0 [] B_23=zero_zero_int|hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_23),A_26)),B_23)=A_26.
% 115.18/114.04  0 [] C_12=zero_z891286103de_int|hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_25),C_12)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_22),C_12))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,A_25),B_22).
% 115.18/114.04  0 [] C_12=zero_z126310315umeral|hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_25),C_12)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_22),C_12))=hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,A_25),B_22).
% 115.18/114.04  0 [] C_12=zero_zero_nat|hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_25),C_12)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_22),C_12))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,A_25),B_22).
% 115.18/114.04  0 [] C_12=zero_zero_int|hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_25),C_12)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_22),C_12))=hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_25),B_22).
% 115.18/114.04  0 [] C_11=zero_z891286103de_int|hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_11),A_24)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_11),B_21))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,A_24),B_21).
% 115.18/114.04  0 [] C_11=zero_z126310315umeral|hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_11),A_24)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_11),B_21))=hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,A_24),B_21).
% 115.18/114.04  0 [] C_11=zero_zero_nat|hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_11),A_24)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_11),B_21))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,A_24),B_21).
% 115.18/114.04  0 [] C_11=zero_zero_int|hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_11),A_24)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_11),B_21))=hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_24),B_21).
% 115.18/114.04  0 [] A_23=zero_z891286103de_int|hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,A_23),A_23)=one_on1684967323de_int.
% 115.18/114.04  0 [] A_23=zero_z126310315umeral|hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,A_23),A_23)=one_on1645066479umeral.
% 115.18/114.04  0 [] A_23=zero_zero_nat|hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,A_23),A_23)=one_one_nat.
% 115.18/114.04  0 [] A_23=zero_zero_int|hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_23),A_23)=one_one_int.
% 115.18/114.04  0 [] hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,hAPP_Q1762011733de_int(div_mo231679042de_int(A_22),B_20)),B_20)=zero_z891286103de_int.
% 115.18/114.04  0 [] hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,hAPP_C498520661umeral(div_mo1740067990umeral(A_22),B_20)),B_20)=zero_z126310315umeral.
% 115.18/114.04  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(div_mod_nat(A_22),B_20)),B_20)=zero_zero_nat.
% 115.18/114.04  0 [] hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(div_mod_int(A_22),B_20)),B_20)=zero_zero_int.
% 115.18/114.04  0 [] -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)).
% 115.18/114.04  0 [] hAPP_int_int(hAPP_int_fun_int_int(div_div_int,I_1),K_1)!=zero_zero_int|K_1=zero_zero_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),I_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,I_1),zero_zero_int)).
% 115.18/114.04  0 [] hAPP_int_int(hAPP_int_fun_int_int(div_div_int,I_1),K_1)!=zero_zero_int|K_1=zero_zero_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),I_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),I_1)).
% 115.18/114.04  0 [] hAPP_int_int(hAPP_int_fun_int_int(div_div_int,I_1),K_1)!=zero_zero_int|K_1=zero_zero_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,I_1),K_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,I_1),zero_zero_int)).
% 115.18/114.04  0 [] hAPP_int_int(hAPP_int_fun_int_int(div_div_int,I_1),K_1)!=zero_zero_int|K_1=zero_zero_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,I_1),K_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),I_1)).
% 115.18/114.04  0 [] hAPP_int_int(hAPP_int_fun_int_int(div_div_int,I_1),K_1)=zero_zero_int|K_1!=zero_zero_int.
% 115.18/114.04  0 [] hAPP_int_int(hAPP_int_fun_int_int(div_div_int,I_1),K_1)=zero_zero_int| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),I_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,I_1),K_1)).
% 115.18/114.04  0 [] hAPP_int_int(hAPP_int_fun_int_int(div_div_int,I_1),K_1)=zero_zero_int| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,I_1),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),I_1)).
% 115.18/114.04  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Ba))| -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,Aa),Ba)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Aa)).
% 115.18/114.04  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Ba))|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,Aa),Ba)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Aa)).
% 115.18/114.04  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),K_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,I_1),K_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),I_1)).
% 115.18/114.04  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),K_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,I_1),K_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),I_1)).
% 115.18/114.04  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Aa))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,Aa),Ba)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Ba),Aa)).
% 115.18/114.04  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Aa))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,Aa),Ba)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Ba)).
% 115.18/114.04  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Aa))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,Aa),Ba)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Ba),Aa))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Ba)).
% 115.18/114.04  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_4))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_4),B_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_2),B_1)),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_2),B_4))).
% 115.18/114.05  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_2))| -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,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_2),B_1)),zero_zero_int)).
% 115.18/114.05  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_2),B_1))|hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_2),B_1)=zero_zero_int.
% 115.18/114.05  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Ba),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,Aa),Ba)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),zero_zero_int)).
% 115.18/114.05  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Ba),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,Aa),Ba)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),zero_zero_int)).
% 115.18/114.05  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_2),zero_zero_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,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_2),B_1)),zero_zero_int)).
% 115.18/114.05  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_2),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_4))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_4),B_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_2),B_4)),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_2),B_1))).
% 115.18/114.05  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_2),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_1),A_2))|hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_2),B_1)=zero_zero_int.
% 115.18/114.05  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_2),A_4))| -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,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_2),B_1)),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_4),B_1))).
% 115.18/114.05  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_2),A_4))| -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,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_4),B_1)),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_2),B_1))).
% 115.18/114.05  0 [] -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)).
% 115.18/114.05  0 [] -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_2),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_1),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_2),B_1)),C_1).
% 115.18/114.05  0 [] -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)).
% 115.18/114.05  0 [] A_2=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_1),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_2),B_1))),hAPP_int_int(div_mod_int(A_2),B_1)).
% 115.18/114.05  0 [] hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_2),B_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,A_2),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,B_1),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_2),hAPP_int_int(div_mod_int(B_1),C_1))),C_1)).
% 115.18/114.05  0 [] 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_1),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_2),B_1))),hAPP_int_int(div_mod_int(A_2),B_1))),K_2)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_2),K_2).
% 115.18/114.05  0 [] 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_2),B_1)),B_1)),hAPP_int_int(div_mod_int(A_2),B_1))),K_2)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_2),K_2).
% 115.18/114.05  0 [] hAPP_int_int(div_mod_int(M_1),N_1)=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,M_1),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,M_1),N_1)),N_1)).
% 115.18/114.05  0 [] hAPP_int_int(hAPP_int_fun_int_int(times_times_int,N_1),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,M_1),N_1))=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,M_1),hAPP_int_int(div_mod_int(M_1),N_1)).
% 115.18/114.05  0 [] hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_2),hAPP_int_int(number_number_of_int,min))=hAPP_int_int(uminus_uminus_int,A_2).
% 115.18/114.05  0 [] B_19=zero_z891286103de_int|hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_21),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_19),C_10))),B_19)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C_10),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,A_21),B_19)).
% 115.18/114.05  0 [] B_19=zero_z126310315umeral|hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_21),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_19),C_10))),B_19)=hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,C_10),hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,A_21),B_19)).
% 115.18/114.05  0 [] B_19=zero_zero_nat|hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_21),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_19),C_10))),B_19)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_10),hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,A_21),B_19)).
% 115.18/114.05  0 [] B_19=zero_zero_int|hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_21),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_19),C_10))),B_19)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_10),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_21),B_19)).
% 115.18/114.05  0 [] B_18=zero_z891286103de_int|hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_20),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_9),B_18))),B_18)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C_9),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,A_20),B_18)).
% 115.18/114.05  0 [] B_18=zero_z126310315umeral|hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_20),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_9),B_18))),B_18)=hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,C_9),hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,A_20),B_18)).
% 115.18/114.05  0 [] B_18=zero_zero_nat|hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_20),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_9),B_18))),B_18)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_9),hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,A_20),B_18)).
% 115.18/114.05  0 [] B_18=zero_zero_int|hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_20),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_9),B_18))),B_18)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_9),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_20),B_18)).
% 115.18/114.05  0 [] -hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A_2,B_1),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Q_1),R_3)))|B_1=zero_zero_int|hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_2),B_1)=Q_1.
% 115.18/114.05  0 [] B_17=zero_z891286103de_int|hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_19),B_17)),B_17)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,A_19),B_17)),one_on1684967323de_int).
% 115.18/114.05  0 [] B_17=zero_z126310315umeral|hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_19),B_17)),B_17)=hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,A_19),B_17)),one_on1645066479umeral).
% 115.18/114.05  0 [] B_17=zero_zero_nat|hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_19),B_17)),B_17)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,A_19),B_17)),one_one_nat).
% 115.18/114.05  0 [] B_17=zero_zero_int|hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_19),B_17)),B_17)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_19),B_17)),one_one_int).
% 115.18/114.05  0 [] B_16=zero_z891286103de_int|hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,B_16),A_18)),B_16)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,A_18),B_16)),one_on1684967323de_int).
% 115.18/114.05  0 [] B_16=zero_z126310315umeral|hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,B_16),A_18)),B_16)=hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,A_18),B_16)),one_on1645066479umeral).
% 115.18/114.05  0 [] B_16=zero_zero_nat|hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_16),A_18)),B_16)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,A_18),B_16)),one_one_nat).
% 115.18/114.05  0 [] B_16=zero_zero_int|hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_16),A_18)),B_16)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_18),B_16)),one_one_int).
% 115.18/114.05  0 [] hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(div_mo231679042de_int(A_17),B_15)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,A_17),B_15)),B_15))=A_17.
% 115.18/114.05  0 [] hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,hAPP_C498520661umeral(div_mo1740067990umeral(A_17),B_15)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,A_17),B_15)),B_15))=A_17.
% 115.18/114.05  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(div_mod_nat(A_17),B_15)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,A_17),B_15)),B_15))=A_17.
% 115.18/114.05  0 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(div_mod_int(A_17),B_15)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_17),B_15)),B_15))=A_17.
% 115.28/114.05  0 [] hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_14),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,A_16),B_14))),hAPP_Q1762011733de_int(div_mo231679042de_int(A_16),B_14))=A_16.
% 115.28/114.05  0 [] hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_14),hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,A_16),B_14))),hAPP_C498520661umeral(div_mo1740067990umeral(A_16),B_14))=A_16.
% 115.28/114.05  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_14),hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,A_16),B_14))),hAPP_nat_nat(div_mod_nat(A_16),B_14))=A_16.
% 115.28/114.05  0 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_14),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_16),B_14))),hAPP_int_int(div_mod_int(A_16),B_14))=A_16.
% 115.28/114.05  0 [] hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,A_15),B_13)),B_13)),hAPP_Q1762011733de_int(div_mo231679042de_int(A_15),B_13))=A_15.
% 115.28/114.05  0 [] hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,A_15),B_13)),B_13)),hAPP_C498520661umeral(div_mo1740067990umeral(A_15),B_13))=A_15.
% 115.28/114.05  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,A_15),B_13)),B_13)),hAPP_nat_nat(div_mod_nat(A_15),B_13))=A_15.
% 115.28/114.05  0 [] 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_15),B_13)),B_13)),hAPP_int_int(div_mod_int(A_15),B_13))=A_15.
% 115.28/114.05  0 [] hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_12),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,A_14),B_12))),hAPP_Q1762011733de_int(div_mo231679042de_int(A_14),B_12))),C_8)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_14),C_8).
% 115.28/114.05  0 [] hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_12),hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,A_14),B_12))),hAPP_C498520661umeral(div_mo1740067990umeral(A_14),B_12))),C_8)=hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_14),C_8).
% 115.28/114.05  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_12),hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,A_14),B_12))),hAPP_nat_nat(div_mod_nat(A_14),B_12))),C_8)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_14),C_8).
% 115.28/114.05  0 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_12),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_14),B_12))),hAPP_int_int(div_mod_int(A_14),B_12))),C_8)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_14),C_8).
% 115.28/114.05  0 [] hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,A_13),B_11)),B_11)),hAPP_Q1762011733de_int(div_mo231679042de_int(A_13),B_11))),C_7)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_13),C_7).
% 115.28/114.05  0 [] hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,A_13),B_11)),B_11)),hAPP_C498520661umeral(div_mo1740067990umeral(A_13),B_11))),C_7)=hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_13),C_7).
% 115.28/114.05  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,A_13),B_11)),B_11)),hAPP_nat_nat(div_mod_nat(A_13),B_11))),C_7)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_13),C_7).
% 115.28/114.05  0 [] 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_13),B_11)),B_11)),hAPP_int_int(div_mod_int(A_13),B_11))),C_7)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_13),C_7).
% 115.28/114.05  0 [] -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)).
% 115.28/114.05  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_1))|hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(number_number_of_int,min)),B_1)=hAPP_int_int(number_number_of_int,min).
% 115.28/114.05  0 [] hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_2),B_1)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,M_1),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_2),M_1)),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,B_1),M_1)))),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(div_mod_int(A_2),M_1)),hAPP_int_int(div_mod_int(B_1),M_1))).
% 115.28/114.05  0 [] R_5!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,S_4),M_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,T_3),N_1))|R_3!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,S_2),M_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,T_2),N_1))|hAPP_int_int(div_mod_int(R_5),R_3)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,S_4),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,R_5),R_3)),S_2))),M_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,T_3),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,R_5),R_3)),T_2))),N_1)).
% 115.28/114.05  0 [] B_1=zero_zero_int|hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A_2,B_1),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_2),B_1)),hAPP_int_int(div_mod_int(A_2),B_1)))).
% 115.28/114.05  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_2),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_1))|hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A_2,B_1),negDivAlg(A_2,B_1))).
% 115.28/114.05  0 [] -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,N),K_1)))|K_1!=zero_zero_int|hBOOL(hAPP_int_bool(P_1,zero_zero_int)).
% 115.28/114.05  0 [] -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,N),K_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),K_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),J_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,J_1),K_1))|N!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),I_2)),J_1)|hBOOL(hAPP_int_bool(P_1,I_2)).
% 115.28/114.05  0 [] -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,N),K_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),X6))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X6),zero_zero_int))|N!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),X5)),X6)|hBOOL(hAPP_int_bool(P_1,X5)).
% 115.28/114.05  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,N),K_1)))|K_1=zero_zero_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),K_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),zero_zero_int)).
% 115.28/114.05  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,N),K_1)))|K_1=zero_zero_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),K_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),$f177(P_1,N,K_1))).
% 115.28/114.05  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,N),K_1)))|K_1=zero_zero_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),K_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,$f177(P_1,N,K_1)),zero_zero_int)).
% 115.28/114.05  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,N),K_1)))|K_1=zero_zero_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),K_1))|N=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),$f178(P_1,N,K_1))),$f177(P_1,N,K_1)).
% 115.28/114.05  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,N),K_1)))|K_1=zero_zero_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),K_1))| -hBOOL(hAPP_int_bool(P_1,$f178(P_1,N,K_1))).
% 115.28/114.05  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,N),K_1)))|K_1=zero_zero_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),$f175(P_1,N,K_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),zero_zero_int)).
% 115.28/114.05  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,N),K_1)))|K_1=zero_zero_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),$f175(P_1,N,K_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),$f177(P_1,N,K_1))).
% 115.28/114.05  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,N),K_1)))|K_1=zero_zero_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),$f175(P_1,N,K_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,$f177(P_1,N,K_1)),zero_zero_int)).
% 115.28/114.05  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,N),K_1)))|K_1=zero_zero_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),$f175(P_1,N,K_1)))|N=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),$f178(P_1,N,K_1))),$f177(P_1,N,K_1)).
% 115.28/114.05  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,N),K_1)))|K_1=zero_zero_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),$f175(P_1,N,K_1)))| -hBOOL(hAPP_int_bool(P_1,$f178(P_1,N,K_1))).
% 115.28/114.05  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,N),K_1)))|K_1=zero_zero_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f175(P_1,N,K_1)),K_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),zero_zero_int)).
% 115.28/114.05  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,N),K_1)))|K_1=zero_zero_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f175(P_1,N,K_1)),K_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),$f177(P_1,N,K_1))).
% 115.28/114.05  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,N),K_1)))|K_1=zero_zero_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f175(P_1,N,K_1)),K_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,$f177(P_1,N,K_1)),zero_zero_int)).
% 115.28/114.05  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,N),K_1)))|K_1=zero_zero_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f175(P_1,N,K_1)),K_1))|N=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),$f178(P_1,N,K_1))),$f177(P_1,N,K_1)).
% 115.28/114.05  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,N),K_1)))|K_1=zero_zero_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f175(P_1,N,K_1)),K_1))| -hBOOL(hAPP_int_bool(P_1,$f178(P_1,N,K_1))).
% 115.28/114.05  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,N),K_1)))|K_1=zero_zero_int|N=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),$f176(P_1,N,K_1))),$f175(P_1,N,K_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),zero_zero_int)).
% 115.28/114.05  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,N),K_1)))|K_1=zero_zero_int|N=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),$f176(P_1,N,K_1))),$f175(P_1,N,K_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),$f177(P_1,N,K_1))).
% 115.28/114.05  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,N),K_1)))|K_1=zero_zero_int|N=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),$f176(P_1,N,K_1))),$f175(P_1,N,K_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,$f177(P_1,N,K_1)),zero_zero_int)).
% 115.28/114.05  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,N),K_1)))|K_1=zero_zero_int|N=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),$f176(P_1,N,K_1))),$f175(P_1,N,K_1))|N=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),$f178(P_1,N,K_1))),$f177(P_1,N,K_1)).
% 115.28/114.05  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,N),K_1)))|K_1=zero_zero_int|N=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),$f176(P_1,N,K_1))),$f175(P_1,N,K_1))| -hBOOL(hAPP_int_bool(P_1,$f178(P_1,N,K_1))).
% 115.28/114.05  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,N),K_1)))|K_1=zero_zero_int| -hBOOL(hAPP_int_bool(P_1,$f176(P_1,N,K_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),zero_zero_int)).
% 115.28/114.05  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,N),K_1)))|K_1=zero_zero_int| -hBOOL(hAPP_int_bool(P_1,$f176(P_1,N,K_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),$f177(P_1,N,K_1))).
% 115.28/114.05  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,N),K_1)))|K_1=zero_zero_int| -hBOOL(hAPP_int_bool(P_1,$f176(P_1,N,K_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,$f177(P_1,N,K_1)),zero_zero_int)).
% 115.28/114.05  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,N),K_1)))|K_1=zero_zero_int| -hBOOL(hAPP_int_bool(P_1,$f176(P_1,N,K_1)))|N=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),$f178(P_1,N,K_1))),$f177(P_1,N,K_1)).
% 115.28/114.05  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,N),K_1)))|K_1=zero_zero_int| -hBOOL(hAPP_int_bool(P_1,$f176(P_1,N,K_1)))| -hBOOL(hAPP_int_bool(P_1,$f178(P_1,N,K_1))).
% 115.28/114.05  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,N),K_1)))| -hBOOL(hAPP_int_bool(P_1,zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),K_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),zero_zero_int)).
% 115.28/114.05  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,N),K_1)))| -hBOOL(hAPP_int_bool(P_1,zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),K_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),$f177(P_1,N,K_1))).
% 115.28/114.05  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,N),K_1)))| -hBOOL(hAPP_int_bool(P_1,zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),K_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,$f177(P_1,N,K_1)),zero_zero_int)).
% 115.28/114.05  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,N),K_1)))| -hBOOL(hAPP_int_bool(P_1,zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),K_1))|N=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),$f178(P_1,N,K_1))),$f177(P_1,N,K_1)).
% 115.28/114.05  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,N),K_1)))| -hBOOL(hAPP_int_bool(P_1,zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),K_1))| -hBOOL(hAPP_int_bool(P_1,$f178(P_1,N,K_1))).
% 115.28/114.05  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,N),K_1)))| -hBOOL(hAPP_int_bool(P_1,zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),$f175(P_1,N,K_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),zero_zero_int)).
% 115.28/114.05  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,N),K_1)))| -hBOOL(hAPP_int_bool(P_1,zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),$f175(P_1,N,K_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),$f177(P_1,N,K_1))).
% 115.28/114.05  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,N),K_1)))| -hBOOL(hAPP_int_bool(P_1,zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),$f175(P_1,N,K_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,$f177(P_1,N,K_1)),zero_zero_int)).
% 115.28/114.05  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,N),K_1)))| -hBOOL(hAPP_int_bool(P_1,zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),$f175(P_1,N,K_1)))|N=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),$f178(P_1,N,K_1))),$f177(P_1,N,K_1)).
% 115.28/114.05  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,N),K_1)))| -hBOOL(hAPP_int_bool(P_1,zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),$f175(P_1,N,K_1)))| -hBOOL(hAPP_int_bool(P_1,$f178(P_1,N,K_1))).
% 115.28/114.05  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,N),K_1)))| -hBOOL(hAPP_int_bool(P_1,zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f175(P_1,N,K_1)),K_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),zero_zero_int)).
% 115.28/114.05  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,N),K_1)))| -hBOOL(hAPP_int_bool(P_1,zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f175(P_1,N,K_1)),K_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),$f177(P_1,N,K_1))).
% 115.28/114.05  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,N),K_1)))| -hBOOL(hAPP_int_bool(P_1,zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f175(P_1,N,K_1)),K_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,$f177(P_1,N,K_1)),zero_zero_int)).
% 115.28/114.05  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,N),K_1)))| -hBOOL(hAPP_int_bool(P_1,zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f175(P_1,N,K_1)),K_1))|N=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),$f178(P_1,N,K_1))),$f177(P_1,N,K_1)).
% 115.28/114.05  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,N),K_1)))| -hBOOL(hAPP_int_bool(P_1,zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f175(P_1,N,K_1)),K_1))| -hBOOL(hAPP_int_bool(P_1,$f178(P_1,N,K_1))).
% 115.28/114.05  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,N),K_1)))| -hBOOL(hAPP_int_bool(P_1,zero_zero_int))|N=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),$f176(P_1,N,K_1))),$f175(P_1,N,K_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),zero_zero_int)).
% 115.28/114.05  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,N),K_1)))| -hBOOL(hAPP_int_bool(P_1,zero_zero_int))|N=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),$f176(P_1,N,K_1))),$f175(P_1,N,K_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),$f177(P_1,N,K_1))).
% 115.28/114.05  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,N),K_1)))| -hBOOL(hAPP_int_bool(P_1,zero_zero_int))|N=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),$f176(P_1,N,K_1))),$f175(P_1,N,K_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,$f177(P_1,N,K_1)),zero_zero_int)).
% 115.28/114.05  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,N),K_1)))| -hBOOL(hAPP_int_bool(P_1,zero_zero_int))|N=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),$f176(P_1,N,K_1))),$f175(P_1,N,K_1))|N=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),$f178(P_1,N,K_1))),$f177(P_1,N,K_1)).
% 115.28/114.05  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,N),K_1)))| -hBOOL(hAPP_int_bool(P_1,zero_zero_int))|N=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),$f176(P_1,N,K_1))),$f175(P_1,N,K_1))| -hBOOL(hAPP_int_bool(P_1,$f178(P_1,N,K_1))).
% 115.28/114.05  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,N),K_1)))| -hBOOL(hAPP_int_bool(P_1,zero_zero_int))| -hBOOL(hAPP_int_bool(P_1,$f176(P_1,N,K_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),zero_zero_int)).
% 115.28/114.05  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,N),K_1)))| -hBOOL(hAPP_int_bool(P_1,zero_zero_int))| -hBOOL(hAPP_int_bool(P_1,$f176(P_1,N,K_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),$f177(P_1,N,K_1))).
% 115.28/114.05  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,N),K_1)))| -hBOOL(hAPP_int_bool(P_1,zero_zero_int))| -hBOOL(hAPP_int_bool(P_1,$f176(P_1,N,K_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,$f177(P_1,N,K_1)),zero_zero_int)).
% 115.28/114.05  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,N),K_1)))| -hBOOL(hAPP_int_bool(P_1,zero_zero_int))| -hBOOL(hAPP_int_bool(P_1,$f176(P_1,N,K_1)))|N=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),$f178(P_1,N,K_1))),$f177(P_1,N,K_1)).
% 115.28/114.05  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,N),K_1)))| -hBOOL(hAPP_int_bool(P_1,zero_zero_int))| -hBOOL(hAPP_int_bool(P_1,$f176(P_1,N,K_1)))| -hBOOL(hAPP_int_bool(P_1,$f178(P_1,N,K_1))).
% 115.28/114.05  0 [] A_12!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_10),Y)),R_6)|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_10))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_10),R_6))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,R_6),zero_zero_int))|B_10=zero_zero_int|hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_12),B_10)=Y.
% 115.28/114.05  0 [] A_12!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_10),Y)),R_6)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),R_6))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_6),B_10))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_10))|B_10=zero_zero_int|hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_12),B_10)=Y.
% 115.28/114.05  0 [] A_12!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_10),Y)),R_6)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),R_6))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_6),B_10))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_10),R_6))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,R_6),zero_zero_int))|B_10=zero_zero_int|hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_12),B_10)=Y.
% 115.28/114.05  0 [] -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)).
% 115.28/114.05  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_1))|hAPP_int_int(div_mod_int(A_2),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_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_1),hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_2),B_1)),C_1))),hAPP_int_int(div_mod_int(A_2),B_1)).
% 115.28/114.05  0 [] B_1=zero_zero_int|hAPP_int_int(div_mod_int(A_2),B_1)!=zero_zero_int|hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_2),hAPP_int_int(uminus_uminus_int,B_1))=hAPP_int_int(uminus_uminus_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_2),B_1)).
% 115.28/114.05  0 [] B_1=zero_zero_int|hAPP_int_int(div_mod_int(A_2),B_1)=zero_zero_int|hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_2),hAPP_int_int(uminus_uminus_int,B_1))=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_2),B_1))),one_one_int).
% 115.28/114.05  0 [] B_1=zero_zero_int|hAPP_int_int(div_mod_int(A_2),B_1)!=zero_zero_int|hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(uminus_uminus_int,A_2)),B_1)=hAPP_int_int(uminus_uminus_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_2),B_1)).
% 115.28/114.05  0 [] B_1=zero_zero_int|hAPP_int_int(div_mod_int(A_2),B_1)=zero_zero_int|hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(uminus_uminus_int,A_2)),B_1)=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_2),B_1))),one_one_int).
% 115.28/114.05  0 [] -hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A_2,C_1),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Aq),Ar)))| -hBOOL(hAPP_P603027463t_bool(divmod_int_rel(B_1,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_2),B_1),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)))).
% 115.28/114.05  0 [] -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)).
% 115.28/114.05  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_2),B_1)),zero_zero_int))|hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_2),B_1)=hAPP_int_int(number_number_of_int,min).
% 115.28/114.05  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),K_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,N),K_1)),hAPP_int_int(div_mod_int(N),K_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),J_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,J_1),K_1))|N!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),I_2)),J_1)|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(P_1,I_2),J_1)).
% 115.28/114.05  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),K_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,N),K_1)),hAPP_int_int(div_mod_int(N),K_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),$f179(P_1,N,K_1))).
% 115.28/114.06  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),K_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,N),K_1)),hAPP_int_int(div_mod_int(N),K_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f179(P_1,N,K_1)),K_1)).
% 115.28/114.06  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),K_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,N),K_1)),hAPP_int_int(div_mod_int(N),K_1)))|N=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),$f180(P_1,N,K_1))),$f179(P_1,N,K_1)).
% 115.28/114.06  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),K_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,N),K_1)),hAPP_int_int(div_mod_int(N),K_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(P_1,$f180(P_1,N,K_1)),$f179(P_1,N,K_1))).
% 115.28/114.06  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,N),K_1)),hAPP_int_int(div_mod_int(N),K_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),J_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,J_1),zero_zero_int))|N!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),I_2)),J_1)|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(P_1,I_2),J_1)).
% 115.28/114.06  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,N),K_1)),hAPP_int_int(div_mod_int(N),K_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),$f181(P_1,N,K_1))).
% 115.28/114.06  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,N),K_1)),hAPP_int_int(div_mod_int(N),K_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,$f181(P_1,N,K_1)),zero_zero_int)).
% 115.28/114.06  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,N),K_1)),hAPP_int_int(div_mod_int(N),K_1)))|N=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),$f182(P_1,N,K_1))),$f181(P_1,N,K_1)).
% 115.28/114.06  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,N),K_1)),hAPP_int_int(div_mod_int(N),K_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(P_1,$f182(P_1,N,K_1)),$f181(P_1,N,K_1))).
% 115.28/114.06  0 [] -hBOOL(hAPP_P603027463t_bool(divmod_int_rel(B_1,C_1),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Q_1),R_3)))|C_1=zero_zero_int|hBOOL(hAPP_P603027463t_bool(divmod_int_rel(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_2),B_1),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_2),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_2),R_3)),C_1))),hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_2),R_3)),C_1)))).
% 115.28/114.06  0 [] -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).
% 115.28/114.06  0 [] 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))).
% 115.28/114.06  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),N_1)).
% 115.28/114.06  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),zero_zero_nat)).
% 115.28/114.06  0 [] A_11=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,A_11),B_9)),B_9)),hAPP_Q1762011733de_int(div_mo231679042de_int(A_11),B_9)).
% 115.28/114.06  0 [] A_11=hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,A_11),B_9)),B_9)),hAPP_C498520661umeral(div_mo1740067990umeral(A_11),B_9)).
% 115.28/114.06  0 [] A_11=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,A_11),B_9)),B_9)),hAPP_nat_nat(div_mod_nat(A_11),B_9)).
% 115.28/114.06  0 [] A_11=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_11),B_9)),B_9)),hAPP_int_int(div_mod_int(A_11),B_9)).
% 115.28/114.06  0 [] X!=Y| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,U_1)),V_2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X),U_1)),Y))),V_2)).
% 115.28/114.06  0 [] -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)),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,J),U)),N)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,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),I_1)),U)),N))).
% 115.28/114.06  0 [] -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)),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,J),U)),N)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,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),I_1)),U)),N))).
% 115.28/114.06  0 [] -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)),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,J),U)),N)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,I_1),J)),U)),M)),N)).
% 115.28/114.06  0 [] -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)),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,J),U)),N)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,I_1),J)),U)),M)),N)).
% 115.28/114.06  0 [] -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.
% 115.28/114.06  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),N)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N)).
% 115.28/114.06  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),N)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_1)).
% 115.28/114.06  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),N)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N)).
% 115.28/114.06  0 [] 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_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_2),N_1))=zero_zero_nat.
% 115.28/114.06  0 [] 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_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_2),N_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M_1),N_1).
% 115.28/114.06  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,A_2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_1),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_2),B_1)),C_1).
% 115.28/114.06  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_2),hAPP_nat_nat(div_mod_nat(M_1),N_1))=hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_2),M_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_2),N_1)).
% 115.28/114.06  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(div_mod_nat(M_1),N_1)),K_2)=hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),K_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N_1),K_2)).
% 115.28/114.06  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M_1),N_1)),N_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),hAPP_nat_nat(div_mod_nat(M_1),N_1)).
% 115.28/114.06  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M_1),N_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),hAPP_nat_nat(div_mod_nat(M_1),N_1)).
% 115.28/114.06  0 [] hAPP_nat_nat(div_mod_nat(M_1),N_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M_1),N_1)),N_1)).
% 115.28/114.06  0 [] 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_1),N_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_2),M_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_2),N_1)).
% 115.28/114.06  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N_1)),K_2)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),K_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N_1),K_2)).
% 115.28/114.06  0 [] 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).
% 115.28/114.06  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),N_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N_1),M_1).
% 115.28/114.06  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),N_1)),K_2)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N_1),K_2)).
% 115.28/114.06  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_2),B_1)),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_2),C_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,B_1),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_2),C_1)),hAPP_nat_nat(div_mod_nat(B_1),C_1))),C_1)).
% 115.28/114.06  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_2),B_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,A_2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,B_1),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_2),hAPP_nat_nat(div_mod_nat(B_1),C_1))),C_1)).
% 115.28/114.06  0 [] hAPP_nat_nat(div_mod_nat(A_2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_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_1),hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,A_2),B_1)),C_1))),hAPP_nat_nat(div_mod_nat(A_2),B_1)).
% 115.28/114.06  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M_1),K_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,N_1),K_2))).
% 115.28/114.06  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M_1),N_1)),M_1)).
% 115.28/114.06  0 [] -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_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_2),N_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M_1),N_1).
% 115.28/114.06  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),N_1)),N_1)=M_1.
% 115.28/114.06  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N_1),M_1)),N_1)=M_1.
% 115.28/114.06  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M_1),N_1)=zero_zero_nat.
% 115.28/114.06  0 [] -hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,N),K_1)))|K_1!=zero_zero_nat|hBOOL(hAPP_nat_bool(P_1,zero_zero_nat)).
% 115.28/114.06  0 [] -hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,N),K_1)))|K_1=zero_zero_nat| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J_1),K_1))|N!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),I_2)),J_1)|hBOOL(hAPP_nat_bool(P_1,I_2)).
% 115.28/114.06  0 [] hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,N),K_1)))|K_1=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f183(P_1,N,K_1)),K_1)).
% 115.28/114.06  0 [] hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,N),K_1)))|K_1=zero_zero_nat|N=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),$f184(P_1,N,K_1))),$f183(P_1,N,K_1)).
% 115.28/114.06  0 [] hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,N),K_1)))|K_1=zero_zero_nat| -hBOOL(hAPP_nat_bool(P_1,$f184(P_1,N,K_1))).
% 115.28/114.06  0 [] hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,N),K_1)))| -hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))|K_1!=zero_zero_nat.
% 115.28/114.06  0 [] hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,N),K_1)))| -hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f183(P_1,N,K_1)),K_1)).
% 115.28/114.06  0 [] hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,N),K_1)))| -hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))|N=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),$f184(P_1,N,K_1))),$f183(P_1,N,K_1)).
% 115.28/114.06  0 [] hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,N),K_1)))| -hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))| -hBOOL(hAPP_nat_bool(P_1,$f184(P_1,N,K_1))).
% 115.28/114.06  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),M_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,K_2),N_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,K_2),M_1))).
% 115.28/114.06  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),N_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),M_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M_1),N_1)),M_1)).
% 115.28/114.06  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,zero_zero_nat),N_1)=zero_zero_nat.
% 115.28/114.06  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),zero_zero_nat)=zero_zero_nat.
% 115.28/114.06  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),N)!=zero_zero_nat|M=zero_zero_nat|N=zero_zero_nat.
% 115.28/114.06  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),N)=zero_zero_nat|M!=zero_zero_nat.
% 115.28/114.06  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),N)=zero_zero_nat|N!=zero_zero_nat.
% 115.28/114.06  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),M)!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),N)|K_1=zero_zero_nat|M=N.
% 115.28/114.06  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),M)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),N)|K_1!=zero_zero_nat.
% 115.28/114.06  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),M)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),N)|M!=N.
% 115.28/114.06  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),M)!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),N)|M=N|K_1=zero_zero_nat.
% 115.28/114.06  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),M)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),N)|M!=N.
% 115.28/114.06  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),M)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),N)|K_1!=zero_zero_nat.
% 115.28/114.06  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),K_1)!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N),K_1)|M=N|K_1=zero_zero_nat.
% 115.28/114.06  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),K_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N),K_1)|M!=N.
% 115.28/114.06  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),K_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N),K_1)|K_1!=zero_zero_nat.
% 115.28/114.06  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N_1)!=zero_zero_nat|hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_1),M_1)!=zero_zero_nat|M_1=N_1.
% 115.28/114.06  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),M_1)=zero_zero_nat.
% 115.28/114.06  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),zero_zero_nat)=M_1.
% 115.28/114.06  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,zero_zero_nat),N_1)=zero_zero_nat.
% 115.28/114.06  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))|M=N|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),M))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_1,N),M)).
% 115.28/114.06  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,S_2),T_2))|S_2!=T_2.
% 115.28/114.06  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),M_1))|M_1!=N_1.
% 115.28/114.06  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),N_1)).
% 115.28/114.06  0 [] X=Y|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X),Y))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y),X)).
% 115.28/114.06  0 [] M=N|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),M)).
% 115.28/114.06  0 [] M!=N| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N)).
% 115.28/114.06  0 [] M!=N| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),M)).
% 115.28/114.06  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),N_1)).
% 115.28/114.06  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),L_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,L_2),N_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,L_2),M_1))).
% 115.28/114.06  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J_2),K_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J_2),N_1)),K_2)).
% 115.28/114.06  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N_1)),N_1)=M_1.
% 115.28/114.06  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_1),M_1)),N_1)=M_1.
% 115.28/114.06  0 [] 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)).
% 115.28/114.06  0 [] 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_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_2),N_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N_1).
% 115.28/114.06  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),K_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_1),K_2))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N_1).
% 115.28/114.06  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),K_1)!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N),K_1)|M=N.
% 115.28/114.06  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),K_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N),K_1)|M!=N.
% 115.28/114.06  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_1),M)!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_1),N)|M=N.
% 115.28/114.06  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_1),M)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_1),N)|M!=N.
% 115.28/114.06  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N_1)),K_2)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_1),K_2)).
% 115.28/114.06  0 [] 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)).
% 115.28/114.06  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_1),M_1).
% 115.28/114.06  0 [] 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_1),N_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_2),M_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_2),N_1)).
% 115.28/114.06  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N_1)),K_2)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),K_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N_1),K_2)).
% 115.28/114.06  0 [] 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).
% 115.28/114.06  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N_1)),M_1)).
% 115.28/114.06  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,L_2),N_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,L_2),M_1))).
% 115.28/114.06  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),L_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_1),L_2))).
% 115.28/114.06  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),N_1))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_1),I))=I.
% 115.28/114.06  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),M))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),N))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),K_1)!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),K_1)|M=N.
% 115.28/114.06  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),M))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),N))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),K_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),K_1)|M!=N.
% 115.28/114.06  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_2),M_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_2),N_1))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),K_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_1),K_2))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N_1).
% 115.28/114.06  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),M))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),N))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),K_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),K_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N)).
% 115.28/114.06  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),M))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),K_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),K_1)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N)).
% 115.28/114.06  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),N_1)).
% 115.28/114.06  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),M_1)).
% 115.28/114.06  0 [] M_1!=N_1|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1)).
% 115.28/114.06  0 [] -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)).
% 115.28/114.06  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),M_1))|M_1=N_1.
% 115.28/114.06  0 [] -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))).
% 115.28/114.06  0 [] -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))).
% 115.28/114.06  0 [] -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))).
% 115.28/114.06  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),M_1)))).
% 115.28/114.06  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),M_1))).
% 115.28/114.06  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,one_one_nat),N_1)=N_1.
% 115.28/114.06  0 [] one_one_nat!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),N)|M=one_one_nat.
% 115.28/114.06  0 [] one_one_nat!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),N)|N=one_one_nat.
% 115.28/114.06  0 [] one_one_nat=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),N)|M!=one_one_nat|N!=one_one_nat.
% 115.28/114.06  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N_1),one_one_nat)=N_1.
% 115.28/114.06  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),N)!=one_one_nat|M=one_one_nat.
% 115.28/114.06  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),N)!=one_one_nat|N=one_one_nat.
% 115.28/114.06  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),N)=one_one_nat|M!=one_one_nat|N!=one_one_nat.
% 115.28/114.06  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),N)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),M)).
% 115.28/114.06  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),N)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N)).
% 115.28/114.06  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),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,zero_zero_nat),N)).
% 115.28/114.06  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),N)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_1)).
% 115.28/114.06  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),N)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N)).
% 115.28/114.06  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),N)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N)).
% 115.28/114.06  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),K_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N),K_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_1)).
% 115.28/114.06  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),K_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N),K_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N)).
% 115.28/114.06  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),K_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N),K_1)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N)).
% 115.28/114.06  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_1))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),M)!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),N)|M=N.
% 115.28/114.06  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_1))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),M)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),N)|M!=N.
% 115.28/114.06  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),N)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N)).
% 115.28/114.06  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),N)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N)).
% 115.28/114.06  0 [] -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))).
% 115.28/114.06  0 [] -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))).
% 115.28/114.06  0 [] N_1=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1)).
% 115.28/114.06  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1))|N_1!=zero_zero_nat.
% 115.28/114.06  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),zero_zero_nat)).
% 115.28/114.06  0 [] N=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N)).
% 115.28/114.06  0 [] N!=zero_zero_nat| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N)).
% 115.28/114.06  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),zero_zero_nat)).
% 115.28/114.06  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),M_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N_1)),M_1)).
% 115.28/114.06  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),M)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N)).
% 115.28/114.06  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),M)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N)).
% 115.28/114.06  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,zero_zero_nat),N_1)=N_1.
% 115.28/114.06  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),zero_zero_nat)=M_1.
% 115.28/114.06  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),N)!=zero_zero_nat|M=zero_zero_nat.
% 115.28/114.06  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),N)!=zero_zero_nat|N=zero_zero_nat.
% 115.28/114.06  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),N)=zero_zero_nat|M!=zero_zero_nat|N!=zero_zero_nat.
% 115.28/114.06  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N_1)!=M_1|N_1=zero_zero_nat.
% 115.28/114.06  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_1),M_1))=zero_zero_nat.
% 115.28/114.06  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),N)!=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N)).
% 115.28/114.06  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),N)=zero_zero_nat| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N)).
% 115.28/114.06  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N_1)=zero_zero_nat.
% 115.28/114.06  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),N_1)).
% 115.28/114.06  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),zero_zero_nat))|N=zero_zero_nat.
% 115.28/114.06  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),zero_zero_nat))|N!=zero_zero_nat.
% 115.28/114.06  0 [] -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)).
% 115.28/114.06  0 [] -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)).
% 115.28/114.06  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_1),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_1),N)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N)).
% 115.28/114.06  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_1),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_1),N)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N)).
% 115.28/114.06  0 [] -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_1))).
% 115.28/114.06  0 [] -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_1),J_2))).
% 115.28/114.06  0 [] -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))).
% 115.28/114.06  0 [] -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))).
% 115.28/114.07  0 [] -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_1),L_2)!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_2),N_1)|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1)).
% 115.28/114.07  0 [] -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)).
% 115.28/114.07  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N_1))=M_1.
% 115.28/114.07  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J),K_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_1),K_1)),J)).
% 115.28/114.07  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J),K_1)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_1),K_1)),J)).
% 115.28/114.07  0 [] M_1!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),N_1)|N_1=one_one_nat|M_1=zero_zero_nat.
% 115.28/114.07  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1)).
% 115.28/114.07  0 [] M_1!=N_1|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1)).
% 115.28/114.07  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1))|M_1=N_1|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1)).
% 115.28/114.07  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1)).
% 115.28/114.07  0 [] -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),N))|M=N.
% 115.28/114.07  0 [] 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),N)).
% 115.28/114.07  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))|M!=N.
% 115.28/114.07  0 [] -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)).
% 115.28/114.07  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))|M!=N.
% 115.28/114.07  0 [] 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))|M=N.
% 115.28/114.07  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),M))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),N))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),K_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),K_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N)).
% 115.28/114.07  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),M))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),K_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),K_1)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N)).
% 115.28/114.07  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_2),B_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_1),A_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,A_2),C_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,B_1),C_1))).
% 115.28/114.07  0 [] -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).
% 115.28/114.07  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J),K_1)),I_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_1),K_1))).
% 115.28/114.07  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J),K_1)),I_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_1),K_1))).
% 115.28/114.07  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_2),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_1),M_1)),K_2))).
% 115.28/114.07  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),M_1))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N_1))=M_1.
% 115.28/114.07  0 [] -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).
% 115.28/114.07  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),J))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J),K_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_1),K_1)),J)).
% 115.28/114.07  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),J))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J),K_1)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_1),K_1)),J)).
% 115.28/114.07  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),M_1))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N_1)),N_1)=M_1.
% 115.28/114.07  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_1),J))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J),I_1)!=K_1|J=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_1),I_1).
% 115.28/114.07  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_1),J))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J),I_1)=K_1|J!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_1),I_1).
% 115.28/114.07  0 [] -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)).
% 115.28/114.07  0 [] -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).
% 115.28/114.07  0 [] -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).
% 115.28/114.07  0 [] -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)),M)!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,J),U)),N)|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),I_1)),U)),N).
% 115.28/114.07  0 [] -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)),M)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,J),U)),N)|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),I_1)),U)),N).
% 115.28/114.07  0 [] -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_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)),N_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J_2),I)),U_1)),N_1)).
% 115.28/114.07  0 [] -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)),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,J),U)),N)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,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),I_1)),U)),N))).
% 115.28/114.07  0 [] -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)),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,J),U)),N)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,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),I_1)),U)),N))).
% 115.28/114.07  0 [] -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)),M)!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,J),U)),N)|hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,I_1),J)),U)),M)=N.
% 115.28/114.07  0 [] -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)),M)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,J),U)),N)|hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,I_1),J)),U)),M)!=N.
% 115.28/114.07  0 [] -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_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)),N_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,I),J_2)),U_1)),M_1)),N_1).
% 115.28/114.07  0 [] -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)),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,J),U)),N)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,I_1),J)),U)),M)),N)).
% 115.28/114.07  0 [] -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)),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,J),U)),N)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,I_1),J)),U)),M)),N)).
% 115.28/114.07  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),K_2)),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1)).
% 115.28/114.07  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),K_2)),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_2),N_1)).
% 115.28/114.07  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),K_2)),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1)).
% 115.28/114.07  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),K_2)),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_2),N_1)).
% 115.28/114.07  0 [] -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))).
% 115.28/114.07  0 [] -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))).
% 115.28/114.07  0 [] -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_1),J_2))).
% 115.28/114.07  0 [] -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_1))).
% 115.28/114.07  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_1),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_1),N)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N)).
% 115.28/114.07  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_1),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_1),N)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N)).
% 115.28/114.07  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))|N=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),$f185(M,N)).
% 115.28/114.07  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))|N!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),K).
% 115.28/114.07  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),L))|L=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_1),$f186(K_1,L)).
% 115.28/114.07  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),L))|L!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_1),N_2).
% 115.28/114.07  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_1),M_1))).
% 115.28/114.07  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N_1))).
% 115.28/114.07  0 [] X_1!=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Y_2),Z_2)|Y_2=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_1),Z_2).
% 115.28/114.07  0 [] X_1=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Y_2),Z_2)|Y_2!=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_1),Z_2).
% 115.28/114.07  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),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,zero_zero_nat),N)).
% 115.28/114.07  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),N)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),M)).
% 115.28/114.07  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),N)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N)).
% 115.28/114.07  0 [] -hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,Aa),Ba)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Aa),Ba))|hBOOL(hAPP_nat_bool(P_1,zero_zero_nat)).
% 115.28/114.07  0 [] -hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,Aa),Ba)))|Aa!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Ba),D_2)|hBOOL(hAPP_nat_bool(P_1,D_2)).
% 115.28/114.07  0 [] hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,Aa),Ba)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Aa),Ba))|Aa=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Ba),$f187(P_1,Aa,Ba)).
% 115.28/114.07  0 [] hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,Aa),Ba)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Aa),Ba))| -hBOOL(hAPP_nat_bool(P_1,$f187(P_1,Aa,Ba))).
% 115.28/114.07  0 [] hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,Aa),Ba)))| -hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))|Aa=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Ba),$f187(P_1,Aa,Ba)).
% 115.28/114.07  0 [] hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,Aa),Ba)))| -hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))| -hBOOL(hAPP_nat_bool(P_1,$f187(P_1,Aa,Ba))).
% 115.28/114.07  0 [] -hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,Aa),Ba)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Aa),Ba))|hBOOL(hAPP_nat_bool(P_1,zero_zero_nat)).
% 115.28/114.07  0 [] -hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,Aa),Ba)))|Aa!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Ba),D_2)|hBOOL(hAPP_nat_bool(P_1,D_2)).
% 115.28/114.07  0 [] hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,Aa),Ba)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Aa),Ba))|Aa=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Ba),$f188(P_1,Aa,Ba)).
% 115.28/114.07  0 [] hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,Aa),Ba)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Aa),Ba))| -hBOOL(hAPP_nat_bool(P_1,$f188(P_1,Aa,Ba))).
% 115.28/114.07  0 [] hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,Aa),Ba)))| -hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))|Aa=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Ba),$f188(P_1,Aa,Ba)).
% 115.28/114.07  0 [] hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,Aa),Ba)))| -hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))| -hBOOL(hAPP_nat_bool(P_1,$f188(P_1,Aa,Ba))).
% 115.28/114.07  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),N)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N)).
% 115.28/114.07  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),N)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N)).
% 115.28/114.07  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),K_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N),K_1)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N)).
% 115.28/114.07  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),K_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N),K_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_1)).
% 115.28/114.07  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),K_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N),K_1)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N)).
% 115.28/114.07  0 [] hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))| -hBOOL(hAPP_nat_bool(P_1,N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f189(N,P_1)),N)).
% 115.28/114.07  0 [] hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))| -hBOOL(hAPP_nat_bool(P_1,N))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),$f189(N,P_1)))| -hBOOL(hAPP_nat_bool(P_1,I_2)).
% 115.28/114.07  0 [] hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))| -hBOOL(hAPP_nat_bool(P_1,N))|hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,$f189(N,P_1)),one_one_nat))).
% 115.28/114.07  0 [] hAPP_nat_nat(div_mod_nat(X),N_1)!=hAPP_nat_nat(div_mod_nat(Y),N_1)| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y),X))|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_1),$f190(X,N_1,Y))).
% 115.28/114.07  0 [] hAPP_nat_nat(div_mod_nat(M_1),D_3)!=R_3|M_1=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,R_3),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,$f191(M_1,D_3,R_3)),D_3)).
% 115.28/114.07  0 [] hAPP_nat_nat(div_mod_nat(X_1),N)!=hAPP_nat_nat(div_mod_nat(Y_2),N)|hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N),$f193(X_1,N,Y_2)))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Y_2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N),$f192(X_1,N,Y_2))).
% 115.28/114.07  0 [] hAPP_nat_nat(div_mod_nat(X_1),N)=hAPP_nat_nat(div_mod_nat(Y_2),N)|hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N),Q1))!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Y_2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N),Q2)).
% 115.28/114.07  0 [] hAPP_nat_nat(div_mod_nat(M_6),D_4)!=zero_zero_nat|M_6=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,D_4),$f194(M_6,D_4)).
% 115.28/114.07  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f196(M,K_1,F)),$f195(M,K_1,F)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(F,M)),K_1)),hAPP_nat_nat(F,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),K_1)))).
% 115.28/114.07  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(F,$f196(M,K_1,F))),hAPP_nat_nat(F,$f195(M,K_1,F))))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(F,M)),K_1)),hAPP_nat_nat(F,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),K_1)))).
% 115.28/114.07  0 [] hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))| -hBOOL(hAPP_nat_bool(P_1,N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,$f197(N,P_1)),N)).
% 115.28/114.07  0 [] hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))| -hBOOL(hAPP_nat_bool(P_1,N))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),$f197(N,P_1)))| -hBOOL(hAPP_nat_bool(P_1,I_2)).
% 115.28/114.07  0 [] hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))| -hBOOL(hAPP_nat_bool(P_1,N))|hBOOL(hAPP_nat_bool(P_1,$f197(N,P_1))).
% 115.28/114.07  0 [] -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),$f198(I,J_2))).
% 115.28/114.07  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J_2))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I),$f198(I,J_2))=J_2.
% 115.28/114.07  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_2))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_2),N_1)!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_2),M_1)|N_1=M_1.
% 115.28/114.07  0 [] -hBOOL(hAPP_P1555980039t_bool(divmod_nat_rel(B_1,C_1),hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,Q_1),R_3)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),C_1))|hBOOL(hAPP_P1555980039t_bool(divmod_nat_rel(hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_2),B_1),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_2),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_2),R_3)),C_1))),hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_2),R_3)),C_1)))).
% 115.28/114.07  0 [] -hBOOL(hAPP_P1555980039t_bool(divmod_nat_rel(A_2,B_1),hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,Q_1),R_3)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),C_1))|hBOOL(hAPP_P1555980039t_bool(divmod_nat_rel(A_2,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_1),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_1),hAPP_nat_nat(div_mod_nat(Q_1),C_1))),R_3)))).
% 115.28/114.07  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_2),X))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X),B_1))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),$f199(B_1,A_2,X))).
% 115.28/114.07  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_2),X))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X),B_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X),Y_1))),$f199(B_1,A_2,X)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_2),Y_1)).
% 115.28/114.07  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_2),X))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X),B_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))),$f199(B_1,A_2,X)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_1),B_1)).
% 115.28/114.07  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_2),L_2))|L_2=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_2),$f200(K_2,L_2)).
% 115.28/114.07  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f202(I_1,J,F)),$f201(I_1,J,F)))| -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))).
% 115.28/114.07  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(F,$f202(I_1,J,F))),hAPP_nat_nat(F,$f201(I_1,J,F))))| -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))).
% 115.28/114.07  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),$f203(D2,D1))).
% 115.28/114.07  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,$f203(D2,D1)),D1)).
% 115.28/114.07  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,$f203(D2,D1)),D2)).
% 115.28/114.07  0 [] -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).
% 115.28/114.07  0 [] -hBOOL(hAPP_P1555980039t_bool(divmod_nat_rel(M_1,N_1),Qr_1))| -hBOOL(hAPP_P1555980039t_bool(divmod_nat_rel(M_1,N_1),Qr_2))|Qr_1=Qr_2.
% 115.28/114.07  0 [] natceiling(hAPP_int_real(number267125858f_real,N_1))=hAPP_int_nat(number_number_of_nat,N_1).
% 115.28/114.07  0 [] -hBOOL(hAPP_P1555980039t_bool(divmod_nat_rel(M_1,N_1),hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,Q_1),R_3)))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M_1),N_1)=Q_1.
% 115.28/114.07  0 [] -hBOOL(hAPP_P1555980039t_bool(divmod_nat_rel(M_1,N_1),hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,Q_1),R_3)))|hAPP_nat_nat(div_mod_nat(M_1),N_1)=R_3.
% 115.28/114.07  0 [] natceiling(zero_zero_real)=zero_zero_nat.
% 115.28/114.07  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),natceiling(X))).
% 115.28/114.07  0 [] -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))).
% 115.28/114.07  0 [] natceiling(one_one_real)=one_one_nat.
% 115.28/114.07  0 [] hBOOL(hAPP_P1555980039t_bool(divmod_nat_rel(M_1,N_1),hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M_1),N_1)),hAPP_nat_nat(div_mod_nat(M_1),N_1)))).
% 115.28/114.07  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),zero_zero_real))|natceiling(X)=zero_zero_nat.
% 115.28/114.07  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,natceiling(X_1)),one_one_nat))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),one_one_real)).
% 115.28/114.07  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,natceiling(X_1)),one_one_nat))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),one_one_real)).
% 115.28/114.07  0 [] -hBOOL(hAPP_P1555980039t_bool(divmod_nat_rel(A_2,C_1),hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,Aq),Ar)))| -hBOOL(hAPP_P1555980039t_bool(divmod_nat_rel(B_1,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_2),B_1),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)))).
% 115.28/114.07  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_2),X))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X),B_1))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),$f204(B_1,A_2,X))).
% 115.28/114.07  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_2),X))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X),B_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))),$f204(B_1,A_2,X)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_2),Y_1)).
% 115.28/114.07  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_2),X))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X),B_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X),Y_1))),$f204(B_1,A_2,X)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_1),B_1)).
% 115.28/114.07  0 [] hBOOL(hAPP_P1555980039t_bool(divmod_nat_rel(M_1,N_1),hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,$f206(M_1,N_1)),$f205(M_1,N_1)))).
% 115.28/114.07  0 [] -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).
% 115.28/114.07  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N),M)!=one_one_nat|N=one_one_nat.
% 115.28/114.07  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N),M)!=one_one_nat|M=one_one_nat.
% 115.28/114.07  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N),M)=one_one_nat|N!=one_one_nat|M!=one_one_nat.
% 115.28/114.07  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(real_nat,N_1)),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_1)),one_one_real)))|natceiling(X)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_1),one_one_nat).
% 115.28/114.07  0 [] hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,N_1)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X))|natceiling(hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X),hAPP_int_real(number267125858f_real,N_1)))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,natceiling(X)),hAPP_int_nat(number_number_of_nat,N_1)).
% 115.28/114.07  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_1))|divmod_int(A_2,B_1)=posDivAlg(A_2,B_1).
% 115.28/114.07  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_2))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_1))|A_2!=zero_zero_int|divmod_int(A_2,B_1)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,zero_zero_int),zero_zero_int).
% 115.28/114.07  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_2))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_1))|A_2=zero_zero_int|divmod_int(A_2,B_1)=hAPP_P1975530577nt_int(negateSnd,negDivAlg(hAPP_int_int(uminus_uminus_int,A_2),hAPP_int_int(uminus_uminus_int,B_1))).
% 115.28/114.07  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_1))|divmod_int(A_2,B_1)=negDivAlg(A_2,B_1).
% 115.28/114.07  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_2))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_1))|divmod_int(A_2,B_1)=hAPP_P1975530577nt_int(negateSnd,posDivAlg(hAPP_int_int(uminus_uminus_int,A_2),hAPP_int_int(uminus_uminus_int,B_1))).
% 115.28/114.07  0 [] 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)).
% 115.28/114.07  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_nat_real(real_nat,N_1))).
% 115.28/114.07  0 [] natfloor(hAPP_nat_real(real_nat,N_1))=N_1.
% 115.28/114.07  0 [] hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,hAPP_nat_real(real_nat,N)),ring_1_Ints_real)).
% 115.28/114.07  0 [] natfloor(hAPP_int_real(number267125858f_real,N_1))=hAPP_int_nat(number_number_of_nat,N_1).
% 115.28/114.07  0 [] hAPP_nat_real(real_nat,N)!=hAPP_nat_real(real_nat,M)|N=M.
% 115.28/114.07  0 [] hAPP_nat_real(real_nat,N)=hAPP_nat_real(real_nat,M)|N!=M.
% 115.28/114.07  0 [] -hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_2)))|hAPP_nat_real(real_nat,hAPP_int_nat(number_number_of_nat,V_2))=zero_zero_real.
% 115.28/114.07  0 [] hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_2)))|hAPP_nat_real(real_nat,hAPP_int_nat(number_number_of_nat,V_2))=hAPP_int_real(number267125858f_real,V_2).
% 115.28/114.07  0 [] -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)).
% 115.28/114.07  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(real_nat,X)),A_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X),natfloor(A_2))).
% 115.28/114.07  0 [] hAPP_real_real(abs_abs_real,hAPP_nat_real(real_nat,X))=hAPP_nat_real(real_nat,X).
% 115.28/114.07  0 [] -hBOOL(hAPP_int_bool(nat_neg,zero_zero_int)).
% 115.28/114.07  0 [] -hBOOL(hAPP_int_bool(nat_neg,one_one_int)).
% 115.28/114.07  0 [] natceiling(hAPP_nat_real(real_nat,N_1))=N_1.
% 115.28/114.07  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Aa),natfloor(X_1)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(real_nat,Aa)),X_1)).
% 115.28/114.07  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Aa),natfloor(X_1)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(real_nat,Aa)),X_1)).
% 115.28/114.07  0 [] 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))).
% 115.28/114.07  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(real_nat,A_2)),X))|natfloor(hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X),hAPP_nat_real(real_nat,A_2)))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,natfloor(X)),A_2).
% 115.28/114.08  0 [] 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)))).
% 115.28/114.08  0 [] hAPP_nat_real(real_nat,zero_zero_nat)=zero_zero_real.
% 115.28/114.08  0 [] hAPP_nat_real(real_nat,N)!=zero_zero_real|N=zero_zero_nat.
% 115.28/114.08  0 [] hAPP_nat_real(real_nat,N)=zero_zero_real|N!=zero_zero_nat.
% 115.28/114.08  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(real_nat,N_1)),zero_zero_real)).
% 115.28/114.08  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(real_nat,N)),hAPP_nat_real(real_nat,M)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),M)).
% 115.28/114.08  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(real_nat,N)),hAPP_nat_real(real_nat,M)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),M)).
% 115.28/114.08  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(real_nat,N)),hAPP_nat_real(real_nat,M)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),M)).
% 115.28/114.08  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(real_nat,N)),hAPP_nat_real(real_nat,M)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),M)).
% 115.28/114.08  0 [] -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_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,natfloor(X)),N_1)).
% 115.28/114.08  0 [] hAPP_nat_real(real_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),N_1))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,M_1)),hAPP_nat_real(real_nat,N_1)).
% 115.28/114.08  0 [] -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_2)))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,natfloor(X)),A_2).
% 115.28/114.08  0 [] hAPP_nat_real(real_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N_1))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(real_nat,M_1)),hAPP_nat_real(real_nat,N_1)).
% 115.28/114.08  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,natfloor(Z_1)),one_one_nat)),N_1))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Z_1),hAPP_nat_real(real_nat,N_1))).
% 115.28/114.08  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(real_nat,N_1)),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_1)),one_one_real)))|natfloor(X)=N_1.
% 115.28/114.08  0 [] hAPP_nat_real(real_nat,one_one_nat)=one_one_real.
% 115.28/114.08  0 [] 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_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_int_nat(number_number_of_nat,N)),natfloor(X_1)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(number267125858f_real,N)),X_1)).
% 115.28/114.08  0 [] 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_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_int_nat(number_number_of_nat,N)),natfloor(X_1)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(number267125858f_real,N)),X_1)).
% 115.28/114.08  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),hAPP_nat_real(real_nat,natceiling(X)))).
% 115.28/114.08  0 [] -hBOOL(hAPP_int_bool(nat_neg,Z_6))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_6),zero_zero_int)).
% 115.28/114.08  0 [] hBOOL(hAPP_int_bool(nat_neg,Z_6))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_6),zero_zero_int)).
% 115.28/114.08  0 [] hBOOL(hAPP_int_bool(nat_neg,X_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1)).
% 115.28/114.08  0 [] -hBOOL(hAPP_int_bool(nat_neg,X_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1)).
% 115.28/114.08  0 [] -hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_2)))|hAPP_int_nat(number_number_of_nat,V_2)=zero_zero_nat.
% 115.28/114.08  0 [] hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,min))).
% 115.28/114.08  0 [] natfloor(zero_zero_real)=zero_zero_nat.
% 115.28/114.08  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),natfloor(X))).
% 115.28/114.08  0 [] -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))).
% 115.28/114.08  0 [] natfloor(one_one_real)=one_one_nat.
% 115.28/114.08  0 [] hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,N_1)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X))|natfloor(hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X),hAPP_int_real(number267125858f_real,N_1)))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,natfloor(X)),hAPP_int_nat(number_number_of_nat,N_1)).
% 115.28/114.08  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(real_nat,N)),zero_zero_real))|N=zero_zero_nat.
% 115.28/114.08  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(real_nat,N)),zero_zero_real))|N!=zero_zero_nat.
% 115.28/114.08  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),M_1))|hAPP_nat_real(real_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N_1))=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_nat_real(real_nat,M_1)),hAPP_nat_real(real_nat,N_1)).
% 115.28/114.08  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),hAPP_nat_real(real_nat,A_2)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,natceiling(X)),A_2)).
% 115.28/114.08  0 [] hAPP_int_nat(number_number_of_nat,V)!=hAPP_int_nat(number_number_of_nat,V_1)| -hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(number_number_of_int,V_1)),zero_zero_int)).
% 115.28/114.08  0 [] hAPP_int_nat(number_number_of_nat,V)!=hAPP_int_nat(number_number_of_nat,V_1)|hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V)))| -hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_1)))|hAPP_int_int(number_number_of_int,V)=zero_zero_int.
% 115.28/114.08  0 [] hAPP_int_nat(number_number_of_nat,V)!=hAPP_int_nat(number_number_of_nat,V_1)|hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V)))|hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_1)))|V=V_1.
% 115.28/114.08  0 [] hAPP_int_nat(number_number_of_nat,V)=hAPP_int_nat(number_number_of_nat,V_1)|hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V)))|hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_1)))|V!=V_1.
% 115.28/114.08  0 [] hAPP_int_nat(number_number_of_nat,V)=hAPP_int_nat(number_number_of_nat,V_1)|hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V)))|hAPP_int_int(number_number_of_int,V)!=zero_zero_int| -hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_1))).
% 115.28/114.08  0 [] hAPP_int_nat(number_number_of_nat,V)=hAPP_int_nat(number_number_of_nat,V_1)|hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V)))|hAPP_int_int(number_number_of_int,V)!=zero_zero_int|V!=V_1.
% 115.28/114.08  0 [] hAPP_int_nat(number_number_of_nat,V)=hAPP_int_nat(number_number_of_nat,V_1)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(number_number_of_int,V_1)),zero_zero_int))| -hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V))).
% 115.28/114.08  0 [] hAPP_int_nat(number_number_of_nat,V)=hAPP_int_nat(number_number_of_nat,V_1)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(number_number_of_int,V_1)),zero_zero_int))|hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_1)))|V!=V_1.
% 115.28/114.08  0 [] hAPP_int_nat(number_number_of_nat,V)=hAPP_int_nat(number_number_of_nat,V_1)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(number_number_of_int,V_1)),zero_zero_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,V_1))).
% 115.28/114.08  0 [] hAPP_int_nat(number_number_of_nat,V)=hAPP_int_nat(number_number_of_nat,V_1)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(number_number_of_int,V_1)),zero_zero_int))|hAPP_int_int(number_number_of_int,V)!=zero_zero_int|V!=V_1.
% 115.28/114.08  0 [] -hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_2)))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,V_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,V_3)),K_2))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,V_3)),K_2).
% 115.28/114.08  0 [] hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_2)))| -hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_3)))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,V_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,V_3)),K_2))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,V_2)),K_2).
% 115.28/114.08  0 [] hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_2)))|hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_3)))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,V_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,V_3)),K_2))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_2),V_3))),K_2).
% 115.28/114.08  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),zero_zero_real))|natfloor(X)=zero_zero_nat.
% 115.28/114.08  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(real_nat,N)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N)).
% 115.28/114.08  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(real_nat,N)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N)).
% 115.28/114.08  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),M))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(real_nat,N)),one_one_real)),hAPP_nat_real(real_nat,M))).
% 115.28/114.08  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),M))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(real_nat,N)),one_one_real)),hAPP_nat_real(real_nat,M))).
% 115.28/114.08  0 [] hAPP_P1975530577nt_int(negateSnd,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Q_1),R_3))=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Q_1),hAPP_int_int(uminus_uminus_int,R_3)).
% 115.28/114.08  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),M))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(real_nat,N)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(real_nat,M)),one_one_real))).
% 115.28/114.08  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),M))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(real_nat,N)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(real_nat,M)),one_one_real))).
% 115.28/114.08  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,natceiling(X_1)),Aa))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),hAPP_nat_real(real_nat,Aa))).
% 115.28/114.08  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,natceiling(X_1)),Aa))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),hAPP_nat_real(real_nat,Aa))).
% 115.28/114.08  0 [] -hBOOL(hAPP_P603027463t_bool(divmod_int_rel(hAPP_int_int(uminus_uminus_int,A_2),hAPP_int_int(uminus_uminus_int,B_1)),Qr_1))|hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A_2,B_1),hAPP_P1975530577nt_int(negateSnd,Qr_1))).
% 115.28/114.08  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(real_nat,A_2)),X))|natceiling(hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X),hAPP_nat_real(real_nat,A_2)))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,natceiling(X)),A_2).
% 115.28/114.08  0 [] B_1=zero_zero_int|hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A_2,B_1),divmod_int(A_2,B_1))).
% 115.28/114.08  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,one_one_nat),natfloor(X_1)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),X_1)).
% 115.28/114.08  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,one_one_nat),natfloor(X_1)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),X_1)).
% 115.28/114.08  0 [] -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_2)))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,natceiling(X)),A_2).
% 115.28/114.08  0 [] 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_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,natceiling(X_1)),hAPP_int_nat(number_number_of_nat,N)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),hAPP_int_real(number267125858f_real,N))).
% 115.28/114.08  0 [] 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_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,natceiling(X_1)),hAPP_int_nat(number_number_of_nat,N)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),hAPP_int_real(number267125858f_real,N))).
% 115.28/114.08  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_2))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B_1))|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_2)),natfloor(B_1))),natfloor(hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_2),B_1)))).
% 115.28/114.08  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),R_3))|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,$f207(R_3)),one_one_nat))),R_3)).
% 115.28/114.08  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),R_3))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,R_3),hAPP_nat_real(real_nat,$f207(R_3)))).
% 115.28/114.08  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_1),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,$f208(X,Y_1))),X))).
% 115.28/114.08  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X),hAPP_nat_real(real_nat,$f209(X)))).
% 115.28/114.08  0 [] -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))))).
% 115.28/114.08  0 [] -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))))).
% 115.28/114.08  0 [] -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).
% 115.28/114.08  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_2),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_1),zero_zero_int))|hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_2),B_1)=hAPP_P1175774780nt_int(product_fst_int_int,hAPP_P1975530577nt_int(negateSnd,posDivAlg(hAPP_int_int(uminus_uminus_int,A_2),hAPP_int_int(uminus_uminus_int,B_1)))).
% 115.28/114.08  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_2),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_1),zero_zero_int))|hAPP_int_int(div_mod_int(A_2),B_1)=hAPP_P1175774780nt_int(product_snd_int_int,hAPP_P1975530577nt_int(negateSnd,posDivAlg(hAPP_int_int(uminus_uminus_int,A_2),hAPP_int_int(uminus_uminus_int,B_1)))).
% 115.28/114.08  0 [] hAPP_P731461727l_real(produc1935615926l_real,P_6)!=hAPP_P731461727l_real(produc1935615926l_real,Q_4)|hAPP_P731461727l_real(produc556554744l_real,P_6)!=hAPP_P731461727l_real(produc556554744l_real,Q_4)|P_6=Q_4.
% 115.28/114.08  0 [] hAPP_P1654798560at_nat(product_fst_nat_nat,P_6)!=hAPP_P1654798560at_nat(product_fst_nat_nat,Q_4)|hAPP_P1654798560at_nat(product_snd_nat_nat,P_6)!=hAPP_P1654798560at_nat(product_snd_nat_nat,Q_4)|P_6=Q_4.
% 115.28/114.08  0 [] hAPP_P1175774780nt_int(product_fst_int_int,P_6)!=hAPP_P1175774780nt_int(product_fst_int_int,Q_4)|hAPP_P1175774780nt_int(product_snd_int_int,P_6)!=hAPP_P1175774780nt_int(product_snd_int_int,Q_4)|P_6=Q_4.
% 115.28/114.08  0 [] S_1!=T|hAPP_P731461727l_real(produc1935615926l_real,S_1)=hAPP_P731461727l_real(produc1935615926l_real,T).
% 115.28/114.08  0 [] S_1!=T|hAPP_P731461727l_real(produc556554744l_real,S_1)=hAPP_P731461727l_real(produc556554744l_real,T).
% 115.28/114.08  0 [] S_1=T|hAPP_P731461727l_real(produc1935615926l_real,S_1)!=hAPP_P731461727l_real(produc1935615926l_real,T)|hAPP_P731461727l_real(produc556554744l_real,S_1)!=hAPP_P731461727l_real(produc556554744l_real,T).
% 115.28/114.08  0 [] S_1!=T|hAPP_P1654798560at_nat(product_fst_nat_nat,S_1)=hAPP_P1654798560at_nat(product_fst_nat_nat,T).
% 115.28/114.08  0 [] S_1!=T|hAPP_P1654798560at_nat(product_snd_nat_nat,S_1)=hAPP_P1654798560at_nat(product_snd_nat_nat,T).
% 115.28/114.08  0 [] S_1=T|hAPP_P1654798560at_nat(product_fst_nat_nat,S_1)!=hAPP_P1654798560at_nat(product_fst_nat_nat,T)|hAPP_P1654798560at_nat(product_snd_nat_nat,S_1)!=hAPP_P1654798560at_nat(product_snd_nat_nat,T).
% 115.28/114.08  0 [] S_1!=T|hAPP_P1175774780nt_int(product_fst_int_int,S_1)=hAPP_P1175774780nt_int(product_fst_int_int,T).
% 115.28/114.08  0 [] S_1!=T|hAPP_P1175774780nt_int(product_snd_int_int,S_1)=hAPP_P1175774780nt_int(product_snd_int_int,T).
% 115.28/114.08  0 [] S_1=T|hAPP_P1175774780nt_int(product_fst_int_int,S_1)!=hAPP_P1175774780nt_int(product_fst_int_int,T)|hAPP_P1175774780nt_int(product_snd_int_int,S_1)!=hAPP_P1175774780nt_int(product_snd_int_int,T).
% 115.28/114.08  0 [] T_4=hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,hAPP_P731461727l_real(produc1935615926l_real,T_4)),hAPP_P731461727l_real(produc556554744l_real,T_4)).
% 115.28/114.08  0 [] T_4=hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,hAPP_P1654798560at_nat(product_fst_nat_nat,T_4)),hAPP_P1654798560at_nat(product_snd_nat_nat,T_4)).
% 115.28/114.08  0 [] T_4=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,hAPP_P1175774780nt_int(product_fst_int_int,T_4)),hAPP_P1175774780nt_int(product_snd_int_int,T_4)).
% 115.28/114.08  0 [] T=hAPP_f538843494t_bool(hAPP_f1418982953t_bool(produc713279741t_bool,hAPP_P1477980390t_bool(produc926076176t_bool,T)),hAPP_P1477980390t_bool(produc840788306t_bool,T)).
% 115.28/114.08  0 [] T_4=hAPP_P230595783nt_int(hAPP_P941956607nt_int(produc883642259nt_int,hAPP_P141737927nt_int(produc1096438694nt_int,T_4)),hAPP_P141737927nt_int(produc1011150824nt_int,T_4)).
% 115.28/114.08  0 [] T_4=hAPP_Q1256397320de_int(hAPP_Q952608535de_int(produc1318306967de_int,hAPP_P1913525324de_int(produc1968959274de_int,T_4)),hAPP_P1913525324de_int(produc221809260de_int,T_4)).
% 115.28/114.08  0 [] T_4=hAPP_C2132160860umeral(hAPP_C1614127039umeral(produc2136830103umeral,hAPP_P619277728umeral(produc310214954umeral,T_4)),hAPP_P619277728umeral(produc1857364076umeral,T_4)).
% 115.28/114.08  0 [] T_4=hAPP_P369611207at_nat(hAPP_P402336767at_nat(produc494345619at_nat,hAPP_P1502442695at_nat(produc707142054at_nat,T_4)),hAPP_P1502442695at_nat(produc621854184at_nat,T_4)).
% 115.28/114.08  0 [] T_4=hAPP_P408881810nt_int(hAPP_i1730167831nt_int(produc282740534nt_int,hAPP_P1251258751nt_int(produc2110120675nt_int,T_4)),hAPP_P779853134nt_int(produc8341793nt_int,T_4)).
% 115.28/114.08  0 [] hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,hAPP_P731461727l_real(produc1935615926l_real,P_5)),hAPP_P731461727l_real(produc556554744l_real,P_5))=P_5.
% 115.28/114.08  0 [] hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,hAPP_P1654798560at_nat(product_fst_nat_nat,P_5)),hAPP_P1654798560at_nat(product_snd_nat_nat,P_5))=P_5.
% 115.28/114.08  0 [] hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,hAPP_P1175774780nt_int(product_fst_int_int,P_5)),hAPP_P1175774780nt_int(product_snd_int_int,P_5))=P_5.
% 115.28/114.08  0 [] hAPP_f538843494t_bool(hAPP_f1418982953t_bool(produc713279741t_bool,hAPP_P1477980390t_bool(produc926076176t_bool,Pa)),hAPP_P1477980390t_bool(produc840788306t_bool,Pa))=Pa.
% 115.28/114.08  0 [] hAPP_P230595783nt_int(hAPP_P941956607nt_int(produc883642259nt_int,hAPP_P141737927nt_int(produc1096438694nt_int,P_5)),hAPP_P141737927nt_int(produc1011150824nt_int,P_5))=P_5.
% 115.28/114.08  0 [] hAPP_Q1256397320de_int(hAPP_Q952608535de_int(produc1318306967de_int,hAPP_P1913525324de_int(produc1968959274de_int,P_5)),hAPP_P1913525324de_int(produc221809260de_int,P_5))=P_5.
% 115.28/114.08  0 [] hAPP_C2132160860umeral(hAPP_C1614127039umeral(produc2136830103umeral,hAPP_P619277728umeral(produc310214954umeral,P_5)),hAPP_P619277728umeral(produc1857364076umeral,P_5))=P_5.
% 115.28/114.08  0 [] hAPP_P369611207at_nat(hAPP_P402336767at_nat(produc494345619at_nat,hAPP_P1502442695at_nat(produc707142054at_nat,P_5)),hAPP_P1502442695at_nat(produc621854184at_nat,P_5))=P_5.
% 115.28/114.08  0 [] hAPP_P408881810nt_int(hAPP_i1730167831nt_int(produc282740534nt_int,hAPP_P1251258751nt_int(produc2110120675nt_int,P_5)),hAPP_P779853134nt_int(produc8341793nt_int,P_5))=P_5.
% 115.28/114.08  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(inverse_divide_rat,zero_zero_rat),A_10)=zero_zero_rat.
% 115.28/114.08  0 [] hAPP_complex_complex(hAPP_c172932010omplex(invers1025623611omplex,zero_zero_complex),A_10)=zero_zero_complex.
% 115.28/114.08  0 [] hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,zero_zero_real),A_10)=zero_zero_real.
% 115.28/114.08  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(inverse_divide_rat,A_9),zero_zero_rat)=zero_zero_rat.
% 115.28/114.08  0 [] hAPP_complex_complex(hAPP_c172932010omplex(invers1025623611omplex,A_9),zero_zero_complex)=zero_zero_complex.
% 115.28/114.08  0 [] hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,A_9),zero_zero_real)=zero_zero_real.
% 115.28/114.08  0 [] hAPP_complex_complex(hAPP_c172932010omplex(invers1025623611omplex,zero_zero_complex),Y_8)=zero_zero_complex.
% 115.28/114.08  0 [] hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,zero_zero_real),Y_8)=zero_zero_real.
% 115.28/114.08  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(inverse_divide_rat,X_7),Y_7)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(inverse_divide_rat,Z_5),W_2))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(inverse_divide_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,X_7),Z_5)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Y_7),W_2)).
% 115.28/114.08  0 [] hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(invers1025623611omplex,X_7),Y_7)),hAPP_complex_complex(hAPP_c172932010omplex(invers1025623611omplex,Z_5),W_2))=hAPP_complex_complex(hAPP_c172932010omplex(invers1025623611omplex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,X_7),Z_5)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Y_7),W_2)).
% 115.28/114.08  0 [] hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,X_7),Y_7)),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,Z_5),W_2))=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_7),Z_5)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Y_7),W_2)).
% 115.28/114.08  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_8),hAPP_rat_rat(hAPP_rat_fun_rat_rat(inverse_divide_rat,B_8),C_6))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(inverse_divide_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_8),B_8)),C_6).
% 115.28/114.08  0 [] hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_8),hAPP_complex_complex(hAPP_c172932010omplex(invers1025623611omplex,B_8),C_6))=hAPP_complex_complex(hAPP_c172932010omplex(invers1025623611omplex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_8),B_8)),C_6).
% 115.28/114.08  0 [] hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_8),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,B_8),C_6))=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_8),B_8)),C_6).
% 115.28/114.08  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(inverse_divide_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_7),B_7)),C_5)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(inverse_divide_rat,A_7),C_5)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(inverse_divide_rat,B_7),C_5)).
% 115.28/114.08  0 [] hAPP_complex_complex(hAPP_c172932010omplex(invers1025623611omplex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_7),B_7)),C_5)=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(invers1025623611omplex,A_7),C_5)),hAPP_complex_complex(hAPP_c172932010omplex(invers1025623611omplex,B_7),C_5)).
% 115.28/114.08  0 [] hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_7),B_7)),C_5)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,A_7),C_5)),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,B_7),C_5)).
% 115.28/114.08  0 [] hAPP_complex_complex(hAPP_c172932010omplex(invers1025623611omplex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,X_6),Y_6)),Ya_2)=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(invers1025623611omplex,X_6),Ya_2)),hAPP_complex_complex(hAPP_c172932010omplex(invers1025623611omplex,Y_6),Ya_2)).
% 115.28/114.08  0 [] hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_6),Y_6)),Ya_2)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,X_6),Ya_2)),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,Y_6),Ya_2)).
% 115.28/114.08  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(inverse_divide_rat,A_6),one_one_rat)=A_6.
% 115.28/114.08  0 [] hAPP_complex_complex(hAPP_c172932010omplex(invers1025623611omplex,A_6),one_one_complex)=A_6.
% 115.28/114.08  0 [] hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,A_6),one_one_real)=A_6.
% 115.28/114.08  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(inverse_divide_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,A_5),B_6)),C_4)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(inverse_divide_rat,A_5),C_4)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(inverse_divide_rat,B_6),C_4)).
% 115.28/114.08  0 [] hAPP_complex_complex(hAPP_c172932010omplex(invers1025623611omplex,hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,A_5),B_6)),C_4)=hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,hAPP_complex_complex(hAPP_c172932010omplex(invers1025623611omplex,A_5),C_4)),hAPP_complex_complex(hAPP_c172932010omplex(invers1025623611omplex,B_6),C_4)).
% 115.28/114.08  0 [] hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,A_5),B_6)),C_4)=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,A_5),C_4)),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,B_6),C_4)).
% 115.28/114.08  0 [] hAPP_complex_complex(hAPP_c172932010omplex(invers1025623611omplex,hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,X_5),Y_5)),Ya_1)=hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,hAPP_complex_complex(hAPP_c172932010omplex(invers1025623611omplex,X_5),Ya_1)),hAPP_complex_complex(hAPP_c172932010omplex(invers1025623611omplex,Y_5),Ya_1)).
% 115.28/114.08  0 [] hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X_5),Y_5)),Ya_1)=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,X_5),Ya_1)),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,Y_5),Ya_1)).
% 115.28/114.08  0 [] hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,R_3),A_2)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,R_3),R_3))=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,A_2),R_3).
% 115.28/114.08  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,X_1),Y_2)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Y_2)).
% 115.28/114.08  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,X_1),Y_2)))|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,Y_2),zero_zero_real)).
% 115.28/114.08  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,X_1),Y_2)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_1)).
% 115.28/114.08  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,X_1),Y_2)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_2),zero_zero_real)).
% 115.28/114.08  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,X_1),Y_2)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Y_2))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_1)).
% 115.28/114.08  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,X_1),Y_2)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Y_2))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_2),zero_zero_real)).
% 115.28/114.08  0 [] hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(F,Aa)),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,Ba)),hAPP_real_real(F,Aa))),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Ba),Aa))),Aa))=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(F,Ba)),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,Ba)),hAPP_real_real(F,Aa))),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Ba),Aa))),Ba)).
% 115.28/114.08  0 [] hAPP_int_int(div_mod_int(A_2),B_1)=hAPP_P1175774780nt_int(product_snd_int_int,divmod_int(A_2,B_1)).
% 115.28/114.08  0 [] hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_2),B_1)=hAPP_P1175774780nt_int(product_fst_int_int,divmod_int(A_2,B_1)).
% 115.28/114.08  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(real_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,N_1),X))),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_nat_real(real_nat,N_1)),hAPP_nat_real(real_nat,X)))).
% 115.28/114.08  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_2),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_1))|hAPP_int_int(div_mod_int(A_2),B_1)=hAPP_P1175774780nt_int(product_snd_int_int,negDivAlg(A_2,B_1)).
% 115.28/114.08  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_2),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_1))|hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_2),B_1)=hAPP_P1175774780nt_int(product_fst_int_int,negDivAlg(A_2,B_1)).
% 115.28/114.08  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_1))|hAPP_int_int(div_mod_int(A_2),B_1)=hAPP_P1175774780nt_int(product_snd_int_int,posDivAlg(A_2,B_1)).
% 115.28/114.08  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_1))|hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_2),B_1)=hAPP_P1175774780nt_int(product_fst_int_int,posDivAlg(A_2,B_1)).
% 115.28/114.08  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_nat_real(real_nat,N_1)),hAPP_nat_real(real_nat,X))),hAPP_nat_real(real_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,N_1),X))))).
% 115.28/114.08  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_nat_real(real_nat,N_1)),hAPP_nat_real(real_nat,X))),hAPP_nat_real(real_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,N_1),X)))),one_one_real)).
% 115.28/114.08  0 [] -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))).
% 115.28/114.08  0 [] -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))).
% 115.28/114.08  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_1),zero_zero_int))|hAPP_int_int(div_mod_int(A_2),B_1)=hAPP_P1175774780nt_int(product_snd_int_int,hAPP_P1975530577nt_int(negateSnd,negDivAlg(hAPP_int_int(uminus_uminus_int,A_2),hAPP_int_int(uminus_uminus_int,B_1)))).
% 115.28/114.08  0 [] -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))).
% 115.28/114.08  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_1),zero_zero_int))|hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_2),B_1)=hAPP_P1175774780nt_int(product_fst_int_int,hAPP_P1975530577nt_int(negateSnd,negDivAlg(hAPP_int_int(uminus_uminus_int,A_2),hAPP_int_int(uminus_uminus_int,B_1)))).
% 115.28/114.08  0 [] -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)))).
% 115.28/114.08  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Aa),Ba))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,S_1),T))|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,Aa),S_1)),hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,Ba),T))),pair_less)).
% 115.28/114.08  0 [] -hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_2)))|hAPP_nat_nat(div_mod_nat(hAPP_int_nat(number_number_of_nat,V_2)),hAPP_int_nat(number_number_of_nat,V_3))=zero_zero_nat.
% 115.28/114.08  0 [] hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_2)))| -hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_3)))|hAPP_nat_nat(div_mod_nat(hAPP_int_nat(number_number_of_nat,V_2)),hAPP_int_nat(number_number_of_nat,V_3))=hAPP_int_nat(number_number_of_nat,V_2).
% 115.28/114.08  0 [] hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_2)))|hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_3)))|hAPP_nat_nat(div_mod_nat(hAPP_int_nat(number_number_of_nat,V_2)),hAPP_int_nat(number_number_of_nat,V_3))=hAPP_int_nat(nat,hAPP_int_int(div_mod_int(hAPP_int_int(number_number_of_int,V_2)),hAPP_int_int(number_number_of_int,V_3))).
% 115.28/114.08  0 [] -hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_2)))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_int_nat(number_number_of_nat,V_2)),hAPP_int_nat(number_number_of_nat,V_3))=zero_zero_nat.
% 115.28/114.08  0 [] hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_2)))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_int_nat(number_number_of_nat,V_2)),hAPP_int_nat(number_number_of_nat,V_3))=hAPP_int_nat(nat,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(number_number_of_int,V_2)),hAPP_int_int(number_number_of_int,V_3))).
% 115.28/114.08  0 [] divmod_nat(M_1,N_1)=hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M_1),N_1)),hAPP_nat_nat(div_mod_nat(M_1),N_1)).
% 115.28/114.08  0 [] hAPP_nat_nat(div_mod_nat(M_1),N_1)=hAPP_P1654798560at_nat(product_snd_nat_nat,divmod_nat(M_1,N_1)).
% 115.28/114.08  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M_1),N_1)=hAPP_P1654798560at_nat(product_fst_nat_nat,divmod_nat(M_1,N_1)).
% 115.28/114.08  0 [] hAPP_real_real(arctan,hAPP_real_real(uminus_uminus_real,X))=hAPP_real_real(uminus_uminus_real,hAPP_real_real(arctan,X)).
% 115.28/114.08  0 [] -hBOOL(P_1)|hAPP_int_nat(nat,X_1)=hAPP_int_nat(nat,hAPP_int_int(hAPP_int_fun_int_int(hAPP_b1463609396nt_int(if_int,P_1),X_1),Y_2)).
% 115.28/114.08  0 [] hBOOL(P_1)|hAPP_int_nat(nat,Y_2)=hAPP_int_nat(nat,hAPP_int_int(hAPP_int_fun_int_int(hAPP_b1463609396nt_int(if_int,P_1),X_1),Y_2)).
% 115.28/114.08  0 [] -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))).
% 115.32/114.08  0 [] hAPP_real_real(arctan,zero_zero_real)=zero_zero_real.
% 115.32/114.08  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),Y))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(arctan,X)),hAPP_real_real(arctan,Y))).
% 115.32/114.08  0 [] natceiling(X)=hAPP_int_nat(nat,archim856651990g_real(X)).
% 115.32/114.08  0 [] hAPP_int_nat(nat,zero_zero_int)=zero_zero_nat.
% 115.32/114.08  0 [] zero_zero_nat=hAPP_int_nat(nat,zero_zero_int).
% 115.32/114.08  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Z_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Z_3))|hAPP_int_nat(nat,Z_2)!=hAPP_int_nat(nat,Z_3)|Z_2=Z_3.
% 115.32/114.08  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Z_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Z_3))|hAPP_int_nat(nat,Z_2)=hAPP_int_nat(nat,Z_3)|Z_2!=Z_3.
% 115.32/114.08  0 [] -hBOOL(hAPP_nat_bool(P_1,X1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),$f210(P_1))).
% 115.32/114.08  0 [] -hBOOL(hAPP_nat_bool(P_1,X1))|hBOOL(hAPP_nat_bool(P_1,hAPP_int_nat(nat,$f210(P_1)))).
% 115.32/114.08  0 [] hBOOL(hAPP_nat_bool(P_1,$f211(P_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_2))| -hBOOL(hAPP_nat_bool(P_1,hAPP_int_nat(nat,X_2))).
% 115.32/114.08  0 [] -hBOOL(hAPP_nat_bool(P_1,$f212(P_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_2))|hBOOL(hAPP_nat_bool(P_1,hAPP_int_nat(nat,X_2))).
% 115.32/114.08  0 [] hBOOL(hAPP_nat_bool(P_1,X1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),$f213(P_1))).
% 115.32/114.08  0 [] hBOOL(hAPP_nat_bool(P_1,X1))| -hBOOL(hAPP_nat_bool(P_1,hAPP_int_nat(nat,$f213(P_1)))).
% 115.32/114.08  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y_2))|hAPP_int_nat(nat,X_1)!=hAPP_int_nat(nat,Y_2)|X_1=Y_2.
% 115.32/114.08  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y_2))|hAPP_int_nat(nat,X_1)=hAPP_int_nat(nat,Y_2)|X_1!=Y_2.
% 115.32/114.09  0 [] hAPP_int_nat(number_number_of_nat,V_2)=hAPP_int_nat(nat,hAPP_int_int(number_number_of_int,V_2)).
% 115.32/114.09  0 [] hAPP_int_nat(nat,hAPP_int_int(number_number_of_int,W))=hAPP_int_nat(number_number_of_nat,W).
% 115.32/114.09  0 [] one_one_nat=hAPP_int_nat(nat,one_one_int).
% 115.32/114.09  0 [] -hBOOL(hAPP_int_bool(nat_neg,Z_1))|hAPP_int_nat(nat,Z_1)=zero_zero_nat.
% 115.32/114.09  0 [] natfloor(X)=hAPP_int_nat(nat,archim1246769320r_real(X)).
% 115.32/114.09  0 [] hBOOL(hAPP_P1555980039t_bool(divmod_nat_rel(M_1,N_1),divmod_nat(M_1,N_1))).
% 115.32/114.09  0 [] -hBOOL(hAPP_P1555980039t_bool(divmod_nat_rel(M_1,N_1),Qr_1))|divmod_nat(M_1,N_1)=Qr_1.
% 115.32/114.09  0 [] -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.
% 115.32/114.09  0 [] 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)).
% 115.32/114.09  0 [] 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)).
% 115.32/114.09  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Z_2))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_int_nat(nat,W_1)),hAPP_int_nat(nat,Z_2)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),Z_2)).
% 115.32/114.09  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Z_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_int_nat(nat,W_1)),hAPP_int_nat(nat,Z_2)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),Z_2)).
% 115.32/114.09  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_int_nat(nat,W_1)),hAPP_int_nat(nat,Z_2)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Z_2)).
% 115.32/114.09  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_int_nat(nat,W_1)),hAPP_int_nat(nat,Z_2)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),Z_2)).
% 115.32/114.09  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_int_nat(nat,W_1)),hAPP_int_nat(nat,Z_2)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Z_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),Z_2)).
% 115.32/114.09  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y_2))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_int_nat(nat,X_1)),hAPP_int_nat(nat,Y_2)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_2)).
% 115.32/114.09  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_int_nat(nat,X_1)),hAPP_int_nat(nat,Y_2)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_2)).
% 115.32/114.09  0 [] 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))).
% 115.32/114.09  0 [] -hBOOL(hAPP_P1555980039t_bool(divmod_nat_rel(M,N),Qr))|M=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_P1654798560at_nat(product_fst_nat_nat,Qr)),N)),hAPP_P1654798560at_nat(product_snd_nat_nat,Qr)).
% 115.32/114.09  0 [] -hBOOL(hAPP_P1555980039t_bool(divmod_nat_rel(M,N),Qr))|N!=zero_zero_nat|hAPP_P1654798560at_nat(product_fst_nat_nat,Qr)=zero_zero_nat.
% 115.32/114.09  0 [] -hBOOL(hAPP_P1555980039t_bool(divmod_nat_rel(M,N),Qr))|N=zero_zero_nat| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),hAPP_P1654798560at_nat(product_snd_nat_nat,Qr))).
% 115.32/114.09  0 [] -hBOOL(hAPP_P1555980039t_bool(divmod_nat_rel(M,N),Qr))|N=zero_zero_nat| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_P1654798560at_nat(product_snd_nat_nat,Qr)),N)).
% 115.32/114.09  0 [] -hBOOL(hAPP_P1555980039t_bool(divmod_nat_rel(M,N),Qr))|N=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),hAPP_P1654798560at_nat(product_snd_nat_nat,Qr))).
% 115.32/114.09  0 [] -hBOOL(hAPP_P1555980039t_bool(divmod_nat_rel(M,N),Qr))|N=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_P1654798560at_nat(product_snd_nat_nat,Qr)),zero_zero_nat)).
% 115.32/114.09  0 [] hBOOL(hAPP_P1555980039t_bool(divmod_nat_rel(M,N),Qr))|M!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_P1654798560at_nat(product_fst_nat_nat,Qr)),N)),hAPP_P1654798560at_nat(product_snd_nat_nat,Qr))|N=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),hAPP_P1654798560at_nat(product_snd_nat_nat,Qr)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_P1654798560at_nat(product_snd_nat_nat,Qr)),zero_zero_nat)).
% 115.32/114.09  0 [] hBOOL(hAPP_P1555980039t_bool(divmod_nat_rel(M,N),Qr))|M!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_P1654798560at_nat(product_fst_nat_nat,Qr)),N)),hAPP_P1654798560at_nat(product_snd_nat_nat,Qr))|N=zero_zero_nat| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),hAPP_P1654798560at_nat(product_snd_nat_nat,Qr)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_P1654798560at_nat(product_snd_nat_nat,Qr)),N))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N)).
% 115.32/114.09  0 [] hBOOL(hAPP_P1555980039t_bool(divmod_nat_rel(M,N),Qr))|M!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_P1654798560at_nat(product_fst_nat_nat,Qr)),N)),hAPP_P1654798560at_nat(product_snd_nat_nat,Qr))|N=zero_zero_nat| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),hAPP_P1654798560at_nat(product_snd_nat_nat,Qr)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_P1654798560at_nat(product_snd_nat_nat,Qr)),N))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),hAPP_P1654798560at_nat(product_snd_nat_nat,Qr)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_P1654798560at_nat(product_snd_nat_nat,Qr)),zero_zero_nat)).
% 115.32/114.09  0 [] hBOOL(hAPP_P1555980039t_bool(divmod_nat_rel(M,N),Qr))|M!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_P1654798560at_nat(product_fst_nat_nat,Qr)),N)),hAPP_P1654798560at_nat(product_snd_nat_nat,Qr))|hAPP_P1654798560at_nat(product_fst_nat_nat,Qr)!=zero_zero_nat|N!=zero_zero_nat.
% 115.32/114.09  0 [] hBOOL(hAPP_P1555980039t_bool(divmod_nat_rel(M,N),Qr))|M!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_P1654798560at_nat(product_fst_nat_nat,Qr)),N)),hAPP_P1654798560at_nat(product_snd_nat_nat,Qr))|hAPP_P1654798560at_nat(product_fst_nat_nat,Qr)!=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),hAPP_P1654798560at_nat(product_snd_nat_nat,Qr)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_P1654798560at_nat(product_snd_nat_nat,Qr)),zero_zero_nat)).
% 115.32/114.09  0 [] hBOOL(hAPP_P1555980039t_bool(divmod_nat_rel(M,N),Qr))|M!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_P1654798560at_nat(product_fst_nat_nat,Qr)),N)),hAPP_P1654798560at_nat(product_snd_nat_nat,Qr))|hAPP_P1654798560at_nat(product_fst_nat_nat,Qr)!=zero_zero_nat| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),hAPP_P1654798560at_nat(product_snd_nat_nat,Qr)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_P1654798560at_nat(product_snd_nat_nat,Qr)),N))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N)).
% 115.32/114.09  0 [] hBOOL(hAPP_P1555980039t_bool(divmod_nat_rel(M,N),Qr))|M!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_P1654798560at_nat(product_fst_nat_nat,Qr)),N)),hAPP_P1654798560at_nat(product_snd_nat_nat,Qr))|hAPP_P1654798560at_nat(product_fst_nat_nat,Qr)!=zero_zero_nat| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),hAPP_P1654798560at_nat(product_snd_nat_nat,Qr)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_P1654798560at_nat(product_snd_nat_nat,Qr)),N))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),hAPP_P1654798560at_nat(product_snd_nat_nat,Qr)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_P1654798560at_nat(product_snd_nat_nat,Qr)),zero_zero_nat)).
% 115.32/114.09  0 [] -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)).
% 115.32/114.09  0 [] 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)).
% 115.32/114.09  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),W_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_int_nat(nat,W_1)),hAPP_int_nat(nat,Z_2)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),Z_2)).
% 115.32/114.09  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),W_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_int_nat(nat,W_1)),hAPP_int_nat(nat,Z_2)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),Z_2)).
% 115.32/114.09  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y_2))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_int_nat(nat,X_1)),hAPP_int_nat(nat,Y_2)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_2)).
% 115.32/114.09  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_int_nat(nat,X_1)),hAPP_int_nat(nat,Y_2)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_2)).
% 115.32/114.09  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),W_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_int_nat(nat,W_1)),hAPP_int_nat(nat,Z_2)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,W_1),Z_2)).
% 115.32/114.09  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),W_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_int_nat(nat,W_1)),hAPP_int_nat(nat,Z_2)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,W_1),Z_2)).
% 115.32/114.09  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Z_2))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_int_nat(nat,W_1)),hAPP_int_nat(nat,Z_2)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,W_1),Z_2)).
% 115.32/114.09  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Z_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_int_nat(nat,W_1)),hAPP_int_nat(nat,Z_2)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,W_1),Z_2)).
% 115.32/114.09  0 [] -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)).
% 115.32/114.09  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y))|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)).
% 115.32/114.09  0 [] -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)).
% 115.32/114.09  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y))|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)).
% 115.32/114.09  0 [] divmod_nat(M_1,zero_zero_nat)=hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,zero_zero_nat),M_1).
% 115.32/114.09  0 [] -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)).
% 115.32/114.09  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y))|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)).
% 115.32/114.09  0 [] -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)).
% 115.32/114.09  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y))|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)).
% 115.32/114.09  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y))|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)).
% 115.32/114.09  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Aa),Ba))|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,Aa),S_1)),hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,Ba),T))),pair_less)).
% 115.32/114.09  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y))|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)).
% 115.32/114.09  0 [] -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))).
% 115.32/114.09  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1))|divmod_nat(M_1,N_1)=hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,zero_zero_nat),M_1).
% 115.32/114.09  0 [] hAPP_nat_nat(nat_aux(I),N_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(nat,I)),N_1).
% 115.32/114.09  0 [] hBOOL(hAPP_f448129468l_bool(nat_tr876908586nt_nat(nat),hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int))).
% 115.32/114.09  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),M_1))|divmod_nat(M_1,N_1)=hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N_1)),N_1))),hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N_1)),N_1)).
% 115.32/114.09  0 [] -hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_3)))|hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(suc,zero_zero_nat)),hAPP_int_nat(number_number_of_nat,V_3))=hAPP_nat_nat(suc,zero_zero_nat).
% 115.32/114.09  0 [] hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_3)))|hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(suc,zero_zero_nat)),hAPP_int_nat(number_number_of_nat,V_3))=hAPP_int_nat(nat,hAPP_int_int(div_mod_int(one_one_int),hAPP_int_int(number_number_of_int,V_3))).
% 115.32/114.09  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(suc,zero_zero_nat)),hAPP_int_nat(number_number_of_nat,V_3))=hAPP_int_nat(nat,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,one_one_int),hAPP_int_int(number_number_of_int,V_3))).
% 115.32/114.09  0 [] -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))).
% 115.32/114.09  0 [] -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(suc,M_1)),hAPP_nat_nat(suc,N_1))).
% 115.32/114.09  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),hAPP_nat_nat(suc,N_1))).
% 115.32/114.09  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(suc,N_1))).
% 115.32/114.09  0 [] hAPP_nat_nat(suc,X)!=hAPP_nat_nat(suc,Y)|X=Y.
% 115.32/114.09  0 [] hAPP_nat_nat(suc,Nat_5)!=hAPP_nat_nat(suc,Nat_4)|Nat_5=Nat_4.
% 115.32/114.09  0 [] hAPP_nat_nat(suc,Nat_5)=hAPP_nat_nat(suc,Nat_4)|Nat_5!=Nat_4.
% 115.32/114.09  0 [] hAPP_nat_nat(suc,N_1)!=N_1.
% 115.32/114.09  0 [] N_1!=hAPP_nat_nat(suc,N_1).
% 115.32/114.09  0 [] zero_zero_nat!=hAPP_nat_nat(suc,M_1).
% 115.32/114.09  0 [] zero_zero_nat!=hAPP_nat_nat(suc,Nat_3).
% 115.32/114.09  0 [] hAPP_nat_nat(suc,M_1)!=zero_zero_nat.
% 115.32/114.09  0 [] hAPP_nat_nat(suc,Nat_2)!=zero_zero_nat.
% 115.32/114.09  0 [] zero_zero_nat!=hAPP_nat_nat(suc,M_1).
% 115.32/114.09  0 [] hAPP_nat_nat(suc,M_1)!=zero_zero_nat.
% 115.32/114.09  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),hAPP_nat_nat(suc,M))).
% 115.32/114.09  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),hAPP_nat_nat(suc,M))).
% 115.32/114.09  0 [] -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.
% 115.32/114.09  0 [] 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)).
% 115.32/114.09  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),hAPP_nat_nat(suc,N)))|M!=N.
% 115.32/114.09  0 [] -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)).
% 115.32/114.09  0 [] 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)).
% 115.32/114.09  0 [] 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)))|N=M.
% 115.32/114.09  0 [] 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)))|N!=M.
% 115.32/114.09  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),M_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),hAPP_nat_nat(suc,M_1)))|M_1=N_1.
% 115.32/114.09  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),hAPP_nat_nat(suc,N_1))).
% 115.32/114.09  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1))|hAPP_nat_nat(suc,M_1)=N_1|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,M_1)),N_1)).
% 115.32/114.09  0 [] -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)).
% 115.32/114.09  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),hAPP_nat_nat(suc,N_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1))|M_1=N_1.
% 115.32/114.09  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,M_1)),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1)).
% 115.32/114.09  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,M_1)),hAPP_nat_nat(suc,N_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1)).
% 115.32/114.09  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),hAPP_nat_nat(suc,N_1))=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N_1)).
% 115.32/114.09  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(suc,M_1)),N_1)=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N_1)).
% 115.32/114.09  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(suc,M_1)),N_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),hAPP_nat_nat(suc,N_1)).
% 115.32/114.09  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,M_1)),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1)).
% 115.32/114.09  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),hAPP_nat_nat(suc,N_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1))|M_1=hAPP_nat_nat(suc,N_1).
% 115.32/114.09  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),hAPP_nat_nat(suc,N_1))).
% 115.32/114.09  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,N)),hAPP_nat_nat(suc,M)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),M)).
% 115.32/114.09  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,N)),hAPP_nat_nat(suc,M)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),M)).
% 115.32/114.09  0 [] -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).
% 115.32/114.09  0 [] 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)).
% 115.32/114.09  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),hAPP_nat_nat(suc,N)))|M!=hAPP_nat_nat(suc,N).
% 115.32/114.09  0 [] 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(suc,N)),M)).
% 115.32/114.09  0 [] -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(suc,N)),M)).
% 115.32/114.09  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,N_1)),N_1)).
% 115.32/114.09  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,K_1)),M)!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,K_1)),N)|M=N.
% 115.32/114.09  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,K_1)),M)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,K_1)),N)|M!=N.
% 115.32/114.09  0 [] 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_1)),N_1)),hAPP_nat_nat(suc,K_2))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N_1)),K_2).
% 115.32/114.09  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(suc,M_1)),hAPP_nat_nat(suc,N_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N_1).
% 115.32/114.09  0 [] hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(suc,M_1)),N_1)=hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(suc,hAPP_nat_nat(div_mod_nat(M_1),N_1))),N_1).
% 115.32/114.09  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),hAPP_nat_nat(suc,N)))|M=zero_zero_nat|M=hAPP_nat_nat(suc,$f214(M,N)).
% 115.32/114.09  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),hAPP_nat_nat(suc,N)))|M=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f214(M,N)),N)).
% 115.32/114.09  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),hAPP_nat_nat(suc,N)))|M!=zero_zero_nat.
% 115.32/114.09  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),hAPP_nat_nat(suc,N)))|M!=hAPP_nat_nat(suc,J_1)| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J_1),N)).
% 115.32/114.09  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),hAPP_nat_nat(suc,zero_zero_nat)))|N=zero_zero_nat.
% 115.32/114.09  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),hAPP_nat_nat(suc,zero_zero_nat)))|N!=zero_zero_nat.
% 115.32/114.09  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|N=hAPP_nat_nat(suc,$f215(N)).
% 115.32/114.09  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|N!=hAPP_nat_nat(suc,M_2).
% 115.32/114.09  0 [] hAPP_nat_nat(suc,zero_zero_nat)!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),N)|M=hAPP_nat_nat(suc,zero_zero_nat)|M=zero_zero_nat.
% 115.32/114.09  0 [] hAPP_nat_nat(suc,zero_zero_nat)!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),N)|M=hAPP_nat_nat(suc,zero_zero_nat)|N=hAPP_nat_nat(suc,zero_zero_nat).
% 115.32/114.09  0 [] hAPP_nat_nat(suc,zero_zero_nat)!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),N)|N=zero_zero_nat|M=zero_zero_nat.
% 115.32/114.09  0 [] hAPP_nat_nat(suc,zero_zero_nat)!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),N)|N=zero_zero_nat|N=hAPP_nat_nat(suc,zero_zero_nat).
% 115.32/114.09  0 [] hAPP_nat_nat(suc,zero_zero_nat)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),N)|M!=hAPP_nat_nat(suc,zero_zero_nat)|N!=zero_zero_nat.
% 115.32/114.09  0 [] hAPP_nat_nat(suc,zero_zero_nat)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),N)|M!=zero_zero_nat|N!=hAPP_nat_nat(suc,zero_zero_nat).
% 115.32/114.09  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),N)!=hAPP_nat_nat(suc,zero_zero_nat)|M=hAPP_nat_nat(suc,zero_zero_nat)|M=zero_zero_nat.
% 115.32/114.09  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),N)!=hAPP_nat_nat(suc,zero_zero_nat)|M=hAPP_nat_nat(suc,zero_zero_nat)|N=hAPP_nat_nat(suc,zero_zero_nat).
% 115.32/114.09  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),N)!=hAPP_nat_nat(suc,zero_zero_nat)|N=zero_zero_nat|M=zero_zero_nat.
% 115.32/114.09  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),N)!=hAPP_nat_nat(suc,zero_zero_nat)|N=zero_zero_nat|N=hAPP_nat_nat(suc,zero_zero_nat).
% 115.32/114.09  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),N)=hAPP_nat_nat(suc,zero_zero_nat)|M!=hAPP_nat_nat(suc,zero_zero_nat)|N!=zero_zero_nat.
% 115.32/114.09  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),N)=hAPP_nat_nat(suc,zero_zero_nat)|M!=zero_zero_nat|N!=hAPP_nat_nat(suc,zero_zero_nat).
% 115.32/114.09  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),N)!=hAPP_nat_nat(suc,zero_zero_nat)|M=hAPP_nat_nat(suc,zero_zero_nat).
% 115.32/114.09  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),N)!=hAPP_nat_nat(suc,zero_zero_nat)|N=hAPP_nat_nat(suc,zero_zero_nat).
% 115.32/114.09  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),N)=hAPP_nat_nat(suc,zero_zero_nat)|M!=hAPP_nat_nat(suc,zero_zero_nat)|N!=hAPP_nat_nat(suc,zero_zero_nat).
% 115.32/114.09  0 [] 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_1)))).
% 115.32/114.09  0 [] 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_1),I)))).
% 115.32/114.09  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))|N=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),$f216(M,N))).
% 115.32/114.09  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))|N!=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),K)).
% 115.32/114.09  0 [] one_one_nat=hAPP_nat_nat(suc,zero_zero_nat).
% 115.32/114.09  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,M_1)),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1)).
% 115.32/114.09  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),hAPP_nat_nat(suc,M)))|N=M.
% 115.32/114.09  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),hAPP_nat_nat(suc,M)))|N!=M.
% 115.32/114.09  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,M_1)),N_1)).
% 115.32/114.09  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),hAPP_nat_nat(suc,N_1))).
% 115.32/114.09  0 [] -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)).
% 115.32/114.09  0 [] 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)).
% 115.32/114.09  0 [] -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_e_q_nat,M),N)).
% 115.32/114.09  0 [] 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_e_q_nat,M),N)).
% 115.32/114.09  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),M))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,N)),M)).
% 115.32/114.09  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),M))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,N)),M)).
% 115.32/114.09  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,K_1)),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,K_1)),N)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N)).
% 115.32/114.09  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,K_1)),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,K_1)),N)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N)).
% 115.32/114.09  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N_1)),hAPP_nat_nat(suc,M_1))).
% 115.32/114.09  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,M_1)),N_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),N_1)).
% 115.32/114.09  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),hAPP_nat_nat(suc,N_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),N_1)).
% 115.32/114.09  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,K_1)),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,K_1)),N)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N)).
% 115.32/114.09  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,K_1)),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,K_1)),N)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N)).
% 115.32/114.09  0 [] hAPP_nat_nat(suc,N_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),N_1).
% 115.32/114.09  0 [] hAPP_nat_nat(suc,N_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_1),one_one_nat).
% 115.32/114.09  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),M_1))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(suc,M_1)),N_1)=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N_1)).
% 115.32/114.09  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(suc,N_1)),one_one_nat)=N_1.
% 115.32/114.09  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),hAPP_nat_nat(suc,N_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),one_one_nat)),N_1).
% 115.32/114.09  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M_1),hAPP_nat_nat(suc,zero_zero_nat))=M_1.
% 115.32/114.09  0 [] hAPP_nat_nat(suc,hAPP_nat_nat(div_mod_nat(M_1),N_1))!=N_1|hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(suc,M_1)),N_1)=zero_zero_nat.
% 115.32/114.09  0 [] hAPP_nat_nat(suc,hAPP_nat_nat(div_mod_nat(M_1),N_1))=N_1|hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(suc,M_1)),N_1)=hAPP_nat_nat(suc,hAPP_nat_nat(div_mod_nat(M_1),N_1)).
% 115.32/114.09  0 [] hAPP_nat_nat(div_mod_nat(M_1),hAPP_nat_nat(suc,zero_zero_nat))=zero_zero_nat.
% 115.32/114.09  0 [] M_1=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),K_2)|M_1=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_1)).
% 115.32/114.09  0 [] M_1=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),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_1),K_2)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),K_2)).
% 115.32/114.10  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_2))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),M_1))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),N_1)!=K_2|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),K_2)).
% 115.32/114.10  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),M_1))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),N_1)!=M_1|N_1=hAPP_nat_nat(suc,zero_zero_nat).
% 115.32/114.10  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),N_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),M_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),N_1))).
% 115.32/114.10  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),N_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),M_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N_1),M_1))).
% 115.32/114.10  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),N_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),M_1))|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_1),N_1))).
% 115.32/114.10  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_1),hAPP_nat_nat(suc,I))),N_1)).
% 115.32/114.10  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))|hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_1),hAPP_nat_nat(suc,zero_zero_nat)))=N_1.
% 115.32/114.10  0 [] -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,M),N)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,zero_zero_nat)),M)).
% 115.32/114.10  0 [] -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,M),N)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,zero_zero_nat)),N)).
% 115.32/114.10  0 [] 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,M),N)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,zero_zero_nat)),M))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,zero_zero_nat)),N)).
% 115.32/114.10  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(real_nat,hAPP_nat_nat(suc,N_1)))).
% 115.32/114.10  0 [] hAPP_int_nat(nat,one_one_int)=hAPP_nat_nat(suc,zero_zero_nat).
% 115.32/114.10  0 [] hAPP_nat_real(real_nat,hAPP_nat_nat(suc,zero_zero_nat))=one_one_real.
% 115.32/114.10  0 [] -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_1),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_1),K_2)),hAPP_nat_nat(suc,J_2)).
% 115.32/114.10  0 [] -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_1)=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_1)).
% 115.32/114.10  0 [] hAPP_nat_real(real_nat,hAPP_nat_nat(suc,N_1))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(real_nat,N_1)),one_one_real).
% 115.32/114.10  0 [] hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_2),N_1)),M_1))),N_1)=hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(suc,M_1)),N_1).
% 115.32/114.10  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))|hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_1),one_one_nat))=N_1.
% 115.32/114.10  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))|N_1=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_1),one_one_nat)).
% 115.32/114.10  0 [] M_1!=zero_zero_nat|hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N_1)=N_1.
% 115.32/114.10  0 [] M_1=zero_zero_nat|hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N_1)=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),one_one_nat)),N_1)).
% 115.32/114.10  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M_1),N_1)=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N_1)),N_1)).
% 115.32/114.10  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M_1),N_1)=zero_zero_nat.
% 115.32/114.10  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M_1),N_1)=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N_1)),N_1)).
% 115.32/114.10  0 [] -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_1))),K_2)=one_one_nat.
% 115.32/114.10  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(real_nat,N_1)),X))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X),hAPP_nat_real(real_nat,hAPP_nat_nat(suc,N_1))))|hAPP_int_nat(nat,archim1246769320r_real(X))=N_1.
% 115.32/114.10  0 [] -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)).
% 115.32/114.10  0 [] 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)).
% 115.32/114.10  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_int_nat(number_number_of_nat,V_2)))|hAPP_int_nat(number_number_of_nat,V_2)=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_int_nat(number_number_of_nat,V_2)),one_one_nat)).
% 115.32/114.10  0 [] -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)).
% 115.32/114.10  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N),Qa)),M))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N),hAPP_nat_nat(suc,Qa))))|Qa=hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M),N).
% 115.32/114.10  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N),Qa)),M))|Qa!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M),N).
% 115.32/114.10  0 [] -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),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N),hAPP_nat_nat(suc,Qa))))|Qa!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M),N).
% 115.32/114.10  0 [] -hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M),N)))|N=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,N),$f217(P_1,M,N))),M)).
% 115.32/114.10  0 [] -hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M),N)))|N=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N),hAPP_nat_nat(suc,$f217(P_1,M,N))))).
% 115.32/114.10  0 [] -hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M),N)))|N=zero_zero_nat|hBOOL(hAPP_nat_bool(P_1,$f217(P_1,M,N))).
% 115.32/114.10  0 [] -hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M),N)))|hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N),$f217(P_1,M,N))),M)).
% 115.32/114.10  0 [] -hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M),N)))|hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N),hAPP_nat_nat(suc,$f217(P_1,M,N))))).
% 115.32/114.10  0 [] -hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M),N)))|hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))|hBOOL(hAPP_nat_bool(P_1,$f217(P_1,M,N))).
% 115.32/114.10  0 [] hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M),N)))|N!=zero_zero_nat| -hBOOL(hAPP_nat_bool(P_1,zero_zero_nat)).
% 115.32/114.10  0 [] hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_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,N),Q_3)),M))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N),hAPP_nat_nat(suc,Q_3))))| -hBOOL(hAPP_nat_bool(P_1,Q_3)).
% 115.32/114.10  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),M_1))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M_1),N_1)=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N_1)),N_1)).
% 115.32/114.10  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(real_nat,N_1)),X))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X),hAPP_nat_real(real_nat,hAPP_nat_nat(suc,N_1))))|hAPP_int_nat(nat,archim1246769320r_real(X))=N_1.
% 115.32/114.10  0 [] -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))|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,$f218(X,Y))),Y)),X)).
% 115.32/114.10  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Y))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,hAPP_nat_nat(suc,$f218(X,Y)))),Y))).
% 115.32/114.10  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),R_3))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(real_nat,$f219(R_3))),R_3)).
% 115.32/114.10  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),R_3))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,R_3),hAPP_nat_real(real_nat,hAPP_nat_nat(suc,$f219(R_3))))).
% 115.32/114.10  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(suc,A_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_2),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_2),C_1)),hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(suc,zero_zero_nat)),C_1))),C_1)).
% 115.32/114.10  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f220(I_1,P_1,Pa)),Pa))| -hBOOL(hAPP_nat_bool(P_1,I_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),Pa))|hBOOL(hAPP_nat_bool(P_1,zero_zero_nat)).
% 115.32/114.10  0 [] hBOOL(hAPP_nat_bool(P_1,$f220(I_1,P_1,Pa)))| -hBOOL(hAPP_nat_bool(P_1,I_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),Pa))|hBOOL(hAPP_nat_bool(P_1,zero_zero_nat)).
% 115.32/114.10  0 [] -hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(suc,$f220(I_1,P_1,Pa))),Pa)))| -hBOOL(hAPP_nat_bool(P_1,I_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),Pa))|hBOOL(hAPP_nat_bool(P_1,zero_zero_nat)).
% 115.32/114.10  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f221(J,I_1,P_1,Pa)),Pa))| -hBOOL(hAPP_nat_bool(P_1,I_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),Pa))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J),Pa))|hBOOL(hAPP_nat_bool(P_1,J)).
% 115.32/114.10  0 [] hBOOL(hAPP_nat_bool(P_1,$f221(J,I_1,P_1,Pa)))| -hBOOL(hAPP_nat_bool(P_1,I_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),Pa))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J),Pa))|hBOOL(hAPP_nat_bool(P_1,J)).
% 115.32/114.10  0 [] -hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(suc,$f221(J,I_1,P_1,Pa))),Pa)))| -hBOOL(hAPP_nat_bool(P_1,I_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),Pa))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J),Pa))|hBOOL(hAPP_nat_bool(P_1,J)).
% 115.32/114.10  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_1),J))| -hBOOL(hAPP_nat_bool(P_1,J))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f222(P_1,I_1,J)),J))|hBOOL(hAPP_nat_bool(P_1,I_1)).
% 115.32/114.10  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_1),J))| -hBOOL(hAPP_nat_bool(P_1,J))|hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(suc,$f222(P_1,I_1,J))))|hBOOL(hAPP_nat_bool(P_1,I_1)).
% 115.32/114.10  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_1),J))| -hBOOL(hAPP_nat_bool(P_1,J))| -hBOOL(hAPP_nat_bool(P_1,$f222(P_1,I_1,J)))|hBOOL(hAPP_nat_bool(P_1,I_1)).
% 115.32/114.10  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X),hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat))))|X=zero_zero_nat|X=hAPP_nat_nat(suc,zero_zero_nat).
% 115.32/114.10  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1))|N_1=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),$f223(M_1,N_1))).
% 115.32/114.10  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(F,$f224(M,No,F))),hAPP_nat_real(F,hAPP_nat_nat(suc,$f224(M,No,F)))))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(F,M)),hAPP_nat_real(F,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),No)))).
% 115.32/114.10  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))|N_1=hAPP_nat_nat(suc,$f225(N_1)).
% 115.32/114.10  0 [] -hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_2)))|hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,V_2)),N_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),N_1).
% 115.32/114.10  0 [] hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_2)))|hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,V_2)),N_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(succ,V_2))),N_1).
% 115.32/114.10  0 [] -hBOOL(hAPP_nat_bool(P_1,K_1))|hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(suc,$f226(I_1,P_1,K_1))))|hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,K_1),I_1))).
% 115.32/114.10  0 [] -hBOOL(hAPP_nat_bool(P_1,K_1))| -hBOOL(hAPP_nat_bool(P_1,$f226(I_1,P_1,K_1)))|hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,K_1),I_1))).
% 115.32/114.10  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,N_1)),M_5))|M_5=hAPP_nat_nat(suc,$f227(N_1,M_5)).
% 115.32/114.10  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),K_2))|K_2=hAPP_nat_nat(suc,I)|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),$f228(I,K_2))).
% 115.32/114.10  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),K_2))|K_2=hAPP_nat_nat(suc,I)|K_2=hAPP_nat_nat(suc,$f228(I,K_2)).
% 115.32/114.10  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,I)),K_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),$f229(I,K_2))).
% 115.32/114.10  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,I)),K_2))|K_2=hAPP_nat_nat(suc,$f229(I,K_2)).
% 115.32/114.10  0 [] N_1=zero_zero_nat|N_1=hAPP_nat_nat(suc,$f230(N_1)).
% 115.32/114.10  0 [] hAPP_int_int(succ,K_2)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K_2),one_one_int).
% 115.32/114.10  0 [] hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,K_2),min)=hAPP_int_int(succ,K_2).
% 115.32/114.10  0 [] -hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_2)))|hAPP_nat_nat(suc,hAPP_int_nat(number_number_of_nat,V_2))=one_one_nat.
% 115.32/114.10  0 [] hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_2)))|hAPP_nat_nat(suc,hAPP_int_nat(number_number_of_nat,V_2))=hAPP_int_nat(number_number_of_nat,hAPP_int_int(succ,V_2)).
% 115.32/114.10  0 [] hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))| -hBOOL(hAPP_nat_bool(P_1,X1))| -hBOOL(hAPP_nat_bool(P_1,$f231(P_1))).
% 115.32/114.10  0 [] hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))| -hBOOL(hAPP_nat_bool(P_1,X1))|hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(suc,$f231(P_1)))).
% 115.32/114.10  0 [] Y=zero_zero_nat|Y=hAPP_nat_nat(suc,$f232(Y)).
% 115.32/114.10  0 [] -hBOOL(hAPP_nat_bool(P_1,K_1))|hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(suc,$f233(P_1,K_1))))|hBOOL(hAPP_nat_bool(P_1,zero_zero_nat)).
% 115.32/114.10  0 [] -hBOOL(hAPP_nat_bool(P_1,K_1))| -hBOOL(hAPP_nat_bool(P_1,$f233(P_1,K_1)))|hBOOL(hAPP_nat_bool(P_1,zero_zero_nat)).
% 115.32/114.10  0 [] -hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))|hBOOL(hAPP_nat_bool(P_1,$f234(N,P_1)))|hBOOL(hAPP_nat_bool(P_1,N)).
% 115.32/114.10  0 [] -hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))| -hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(suc,$f234(N,P_1))))|hBOOL(hAPP_nat_bool(P_1,N)).
% 115.32/114.10  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),M_1))| -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_1)),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_1),hAPP_nat_nat(suc,zero_zero_nat))).
% 115.32/114.10  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Aa),Ba))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,S_1),T))|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,Aa),S_1)),hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,Ba),T))),pair_le_q)).
% 115.32/114.10  0 [] 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)).
% 115.32/114.10  0 [] 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_1)),Y)),M_1)=hAPP_int_int(div_mod_int(hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X),Y)),M_1).
% 115.32/114.10  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X),N_1))).
% 115.32/114.10  0 [] 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)).
% 115.32/114.10  0 [] 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_1))).
% 115.32/114.10  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(abs_abs_int,X_1)),N)))|X_1!=zero_zero_int|N=zero_zero_nat.
% 115.32/114.10  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(abs_abs_int,X_1)),N)))|X_1=zero_zero_int.
% 115.32/114.10  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(abs_abs_int,X_1)),N)))|N!=zero_zero_nat.
% 115.32/114.10  0 [] -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_2),hAPP_int_nat(nat,P_3))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_2),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_int_nat(nat,P_3)),one_one_nat))).
% 115.32/114.10  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Aa),Ba))|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,Aa),S_1)),hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,Ba),T))),pair_le_q)).
% 115.32/114.10  0 [] hAPP_nat_real(real_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,M_1),N_1))=hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_nat_real(real_nat,M_1)),N_1).
% 115.32/114.10  0 [] hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_nat_real(real_nat,M_1)),N_1)=hAPP_nat_real(real_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,M_1),N_1)).
% 115.32/114.10  0 [] X!=hAPP_nat_real(real_nat,natfloor(X))|natfloor(hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X),N_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,natfloor(X)),N_1).
% 115.32/114.10  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,M),N)!=zero_zero_nat|N!=zero_zero_nat.
% 115.32/114.10  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,M),N)!=zero_zero_nat|M=zero_zero_nat.
% 115.32/114.10  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,M),N)=zero_zero_nat|N=zero_zero_nat|M!=zero_zero_nat.
% 115.32/114.10  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_1),hAPP_nat_nat(suc,N))!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,Y_2),hAPP_nat_nat(suc,N))|X_1=Y_2.
% 115.32/114.10  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_1),hAPP_nat_nat(suc,N))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,Y_2),hAPP_nat_nat(suc,N))|X_1!=Y_2.
% 115.32/114.10  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_1),M)!=hAPP_nat_nat(suc,zero_zero_nat)|M=zero_zero_nat|X_1=hAPP_nat_nat(suc,zero_zero_nat).
% 115.32/114.10  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_1),M)=hAPP_nat_nat(suc,zero_zero_nat)|M!=zero_zero_nat.
% 115.32/114.10  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_1),M)=hAPP_nat_nat(suc,zero_zero_nat)|X_1!=hAPP_nat_nat(suc,zero_zero_nat).
% 115.32/114.10  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,hAPP_nat_nat(suc,zero_zero_nat)),N_1)=hAPP_nat_nat(suc,zero_zero_nat).
% 115.32/114.10  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_1),N)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X_1))|N=zero_zero_nat.
% 115.32/114.10  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_1),N)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X_1)).
% 115.32/114.10  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_1),N)))|N!=zero_zero_nat.
% 115.32/114.10  0 [] -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_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,I),N_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1)).
% 115.32/114.10  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,zero_zero_nat)),I))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,zero_zero_nat)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,I),N_1))).
% 115.32/114.10  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_1),N)))|N=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X_1)).
% 115.32/114.10  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_1),N)))|N!=zero_zero_nat.
% 115.32/114.10  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_1),N)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X_1)).
% 115.32/114.10  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_1),hAPP_nat_nat(suc,N))),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,Y_2),hAPP_nat_nat(suc,N))))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_2)).
% 115.32/114.10  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_1),hAPP_nat_nat(suc,N))),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,Y_2),hAPP_nat_nat(suc,N))))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_2)).
% 115.32/114.10  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_1),N)!=one_one_nat|X_1=one_one_nat|N=zero_zero_nat.
% 115.32/114.10  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_1),N)=one_one_nat|X_1!=one_one_nat.
% 115.32/114.10  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_1),N)=one_one_nat|N!=zero_zero_nat.
% 115.32/114.10  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_1),hAPP_nat_nat(suc,N))),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,Y_2),hAPP_nat_nat(suc,N))))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_2)).
% 115.32/114.10  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_1),hAPP_nat_nat(suc,N))),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,Y_2),hAPP_nat_nat(suc,N))))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_2)).
% 115.32/114.10  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_1),hAPP_int_nat(number_number_of_nat,W_1))))|hAPP_int_nat(number_number_of_nat,W_1)=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X_1)).
% 115.32/114.10  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_1),hAPP_int_nat(number_number_of_nat,W_1))))|hAPP_int_nat(number_number_of_nat,W_1)!=zero_zero_nat.
% 115.32/114.10  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_1),hAPP_int_nat(number_number_of_nat,W_1))))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X_1)).
% 115.32/114.10  0 [] M_1!=zero_zero_nat|hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,P_3),M_1)=one_one_nat.
% 115.32/114.10  0 [] M_1=zero_zero_nat|hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,P_3),M_1)=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_1),one_one_nat))).
% 115.32/114.10  0 [] -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_1)=hAPP_int_nat(nat,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X),N_1)).
% 115.32/114.10  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Z_1))|hAPP_int_nat(nat,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,Z_1),N_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,hAPP_int_nat(nat,Z_1)),N_1).
% 115.32/114.10  0 [] -hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_2)))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,hAPP_int_nat(number_number_of_nat,V_2)),hAPP_int_nat(number_number_of_nat,W))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,zero_zero_nat),hAPP_int_nat(number_number_of_nat,W)).
% 115.32/114.10  0 [] hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_2)))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,hAPP_int_nat(number_number_of_nat,V_2)),hAPP_int_nat(number_number_of_nat,W))=hAPP_int_nat(nat,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(number_number_of_int,V_2)),hAPP_int_nat(number_number_of_nat,W))).
% 115.32/114.10  0 [] -hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_2)))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,hAPP_int_nat(number_number_of_nat,V_2)),N_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,zero_zero_nat),N_1).
% 115.32/114.10  0 [] hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_2)))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,hAPP_int_nat(number_number_of_nat,V_2)),N_1)=hAPP_int_nat(nat,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(number_number_of_int,V_2)),N_1)).
% 115.32/114.10  0 [] -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_1)),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_1))).
% 115.32/114.10  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),$f235(A_2,N_1))).
% 115.32/114.10  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_2))|hAPP_nat_real(hAPP_r474017924t_real(power_power_real,$f235(A_2,N_1)),N_1)=A_2.
% 115.32/114.10  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),$f236(A_2,N_1))).
% 115.32/114.10  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_2))|hAPP_nat_real(hAPP_r474017924t_real(power_power_real,$f236(A_2,N_1)),N_1)=A_2.
% 115.32/114.10  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_2))| -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_1)!=A_2|Y_1=$f236(A_2,N_1).
% 115.32/114.10  0 [] hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(number_number_of_int,min)),N_1)=one_one_int|hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(number_number_of_int,min)),N_1)=hAPP_int_int(number_number_of_int,min).
% 115.32/114.10  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),$f237(N_1,A_2))).
% 115.32/114.10  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_2))|hAPP_nat_real(hAPP_r474017924t_real(power_power_real,$f237(N_1,A_2)),hAPP_nat_nat(suc,N_1))=A_2.
% 115.32/114.10  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),zEven))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))|hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(number_number_of_int,min)),hAPP_int_nat(nat,X_1))=one_one_int.
% 115.32/114.10  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),zOdd))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))|hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(number_number_of_int,min)),hAPP_int_nat(nat,X_1))=hAPP_int_int(number_number_of_int,min).
% 115.32/114.10  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y_2))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),zEven))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Y_2),zEven))|hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(number_number_of_int,min)),hAPP_int_nat(nat,X_1))=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(number_number_of_int,min)),hAPP_int_nat(nat,Y_2)).
% 115.32/114.10  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y_2))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),zEven))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Y_2),zEven))|hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(number_number_of_int,min)),hAPP_int_nat(nat,X_1))=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(number_number_of_int,min)),hAPP_int_nat(nat,Y_2)).
% 115.32/114.11  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(real_int,N_1)),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_1)),one_one_real)))|archim856651990g_real(X)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,N_1),one_one_int).
% 115.32/114.11  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),zOdd))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))|hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(uminus_uminus_int,Aa)),hAPP_int_nat(nat,X_1))=hAPP_int_int(uminus_uminus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,Aa),hAPP_int_nat(nat,X_1))).
% 115.32/114.11  0 [] -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))).
% 115.32/114.11  0 [] -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(arccos,Y)),pi)).
% 115.32/114.11  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),zOdd))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),zEven)).
% 115.32/114.11  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),zOdd))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),zEven)).
% 115.32/114.11  0 [] hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),zOdd))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),zEven)).
% 115.32/114.11  0 [] hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),zOdd))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),zEven)).
% 115.32/114.11  0 [] hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),zOdd))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),zEven)).
% 115.32/114.11  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),zOdd))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Y_2),zOdd))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_1),Y_2)),zEven)).
% 115.32/114.11  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),zOdd))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Y_2),zEven))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_1),Y_2)),zOdd)).
% 115.32/114.11  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),zEven))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Y_2),zOdd))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_1),Y_2)),zOdd)).
% 115.32/114.11  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Aa),Ba)),zOdd))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Aa),zEven))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Ba),zOdd)).
% 115.32/114.11  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Aa),Ba)),zOdd))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Aa),zOdd))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Ba),zEven)).
% 115.32/114.11  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Aa),zEven))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Ba),zOdd))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Aa),Ba)),zOdd)).
% 115.32/114.11  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Aa),zOdd))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Ba),zOdd))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Aa),Ba)),zEven)).
% 115.32/114.11  0 [] hAPP_int_real(real_int,X_1)!=hAPP_int_real(real_int,Y_2)|X_1=Y_2.
% 115.32/114.11  0 [] hAPP_int_real(real_int,X_1)=hAPP_int_real(real_int,Y_2)|X_1!=Y_2.
% 115.32/114.11  0 [] pi!=zero_zero_real.
% 115.32/114.11  0 [] archim1246769320r_real(hAPP_int_real(real_int,N_1))=N_1.
% 115.32/114.11  0 [] hAPP_int_real(real_int,archim1246769320r_real(X_1))!=X_1|X_1=hAPP_int_real(real_int,$f238(X_1)).
% 115.32/114.11  0 [] hAPP_int_real(real_int,archim1246769320r_real(X_1))=X_1|X_1!=hAPP_int_real(real_int,N_2).
% 115.32/114.11  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),zOdd))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_1),one_one_int)),zEven)).
% 115.32/114.11  0 [] archim856651990g_real(hAPP_int_real(real_int,N_1))=N_1.
% 115.32/114.11  0 [] hAPP_int_real(real_int,archim856651990g_real(X_1))!=X_1|X_1=hAPP_int_real(real_int,$f239(X_1)).
% 115.32/114.11  0 [] hAPP_int_real(real_int,archim856651990g_real(X_1))=X_1|X_1!=hAPP_int_real(real_int,N_2).
% 115.32/114.11  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,one_one_int),zEven)).
% 115.32/114.11  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_1),Y_2)),zEven))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),zEven))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Y_2),zEven)).
% 115.32/114.11  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),zEven))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_1),Y_2)),zEven)).
% 115.32/114.11  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),zEven))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Y_2),zEven))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_1),Y_2)),zEven)).
% 115.32/114.11  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),zEven))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Y_2),zEven))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_1),Y_2)),zEven)).
% 115.32/114.11  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_1),Y_2)),zEven))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),zEven))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Y_2),zEven)).
% 115.32/114.11  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_1),Y_2)),zEven))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),zEven))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Y_2),zEven)).
% 115.32/114.11  0 [] hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_1),Y_2)),zEven))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),zEven))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Y_2),zEven)).
% 115.32/114.11  0 [] hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_1),Y_2)),zEven))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),zEven))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Y_2),zEven)).
% 115.32/114.11  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_1),Y_2)),zOdd))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),zOdd)).
% 115.32/114.11  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),zOdd))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Y_2),zOdd))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_1),Y_2)),zOdd)).
% 115.32/114.11  0 [] hAPP_int_real(real_int,X_1)!=zero_zero_real|X_1=zero_zero_int.
% 115.32/114.11  0 [] hAPP_int_real(real_int,X_1)=zero_zero_real|X_1!=zero_zero_int.
% 115.32/114.11  0 [] hAPP_int_real(real_int,zero_zero_int)=zero_zero_real.
% 115.32/114.11  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(real_int,X_1)),hAPP_int_real(real_int,Y_2)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_2)).
% 115.32/114.11  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(real_int,X_1)),hAPP_int_real(real_int,Y_2)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_2)).
% 115.32/114.11  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,X_1)),hAPP_int_real(real_int,Y_2)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_2)).
% 115.32/114.11  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,X_1)),hAPP_int_real(real_int,Y_2)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_2)).
% 115.32/114.11  0 [] 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)).
% 115.32/114.11  0 [] hAPP_int_real(real_int,one_one_int)=one_one_real.
% 115.32/114.11  0 [] hAPP_int_real(real_int,hAPP_int_int(number_number_of_int,V_2))=hAPP_int_real(number267125858f_real,V_2).
% 115.32/114.11  0 [] 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)).
% 115.32/114.11  0 [] hAPP_int_real(real_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X),N_1))=hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_int_real(real_int,X)),N_1).
% 115.32/114.11  0 [] hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_int_real(real_int,X)),N_1)=hAPP_int_real(real_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X),N_1)).
% 115.32/114.11  0 [] 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)).
% 115.32/114.11  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),pi)).
% 115.32/114.11  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),pi)).
% 115.32/114.11  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,pi),zero_zero_real)).
% 115.32/114.11  0 [] hAPP_int_real(real_int,hAPP_int_int(uminus_uminus_int,X))=hAPP_real_real(uminus_uminus_real,hAPP_int_real(real_int,X)).
% 115.32/114.11  0 [] hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,hAPP_int_real(real_int,X_1)),ring_1_Ints_real)).
% 115.32/114.11  0 [] hAPP_int_real(real_int,hAPP_int_int(abs_abs_int,X))=hAPP_real_real(abs_abs_real,hAPP_int_real(real_int,X)).
% 115.32/114.11  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,archim1246769320r_real(R_3))),R_3)).
% 115.32/114.11  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,R_3),hAPP_int_real(real_int,archim856651990g_real(R_3)))).
% 115.32/114.11  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,N_1),X))),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_int_real(real_int,N_1)),hAPP_int_real(real_int,X)))).
% 115.32/114.11  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,archim1246769320r_real(X_1)),Aa))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),hAPP_int_real(real_int,Aa))).
% 115.32/114.11  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,archim1246769320r_real(X_1)),Aa))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),hAPP_int_real(real_int,Aa))).
% 115.32/114.11  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,A_2)),X))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_2),archim1246769320r_real(X))).
% 115.32/114.11  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),archim1246769320r_real(X_1)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,Aa)),X_1)).
% 115.32/114.11  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),archim1246769320r_real(X_1)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,Aa)),X_1)).
% 115.32/114.11  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_2),archim1246769320r_real(X)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,A_2)),X)).
% 115.32/114.11  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),archim856651990g_real(X_1)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(real_int,Aa)),X_1)).
% 115.32/114.11  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),archim856651990g_real(X_1)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(real_int,Aa)),X_1)).
% 115.32/114.11  0 [] archim1246769320r_real(hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X),hAPP_int_real(real_int,A_2)))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,archim1246769320r_real(X)),A_2).
% 115.32/114.11  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,archim856651990g_real(X_1)),Aa))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),hAPP_int_real(real_int,Aa))).
% 115.32/114.11  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,archim856651990g_real(X_1)),Aa))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),hAPP_int_real(real_int,Aa))).
% 115.32/114.11  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),hAPP_int_real(real_int,A_2)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,archim856651990g_real(X)),A_2)).
% 115.32/114.11  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,archim856651990g_real(X)),A_2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),hAPP_int_real(real_int,A_2))).
% 115.32/114.11  0 [] X!=hAPP_int_real(real_int,archim1246769320r_real(X))|archim1246769320r_real(hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X),N_1))=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,archim1246769320r_real(X)),N_1).
% 115.32/114.11  0 [] archim1246769320r_real(hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X),hAPP_int_real(real_int,A_2)))=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,archim1246769320r_real(X)),A_2).
% 115.32/114.11  0 [] archim856651990g_real(hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X),hAPP_int_real(real_int,A_2)))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,archim856651990g_real(X)),A_2).
% 115.32/114.11  0 [] archim1246769320r_real(hAPP_real_real(uminus_uminus_real,hAPP_int_real(real_int,N_1)))=hAPP_int_int(uminus_uminus_int,N_1).
% 115.32/114.11  0 [] archim856651990g_real(hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X),hAPP_int_real(real_int,A_2)))=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,archim856651990g_real(X)),A_2).
% 115.32/114.11  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_1),N)),zEven))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),zEven)).
% 115.32/114.11  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_1),N)),zEven))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),zEven)).
% 115.32/114.11  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_int_real(real_int,N)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),N)).
% 115.32/114.11  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_int_real(real_int,N)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),N)).
% 115.32/114.11  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(real_int,N)),zero_zero_real))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,N),zero_zero_int)).
% 115.32/114.11  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(real_int,N)),zero_zero_real))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,N),zero_zero_int)).
% 115.32/114.11  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,N)),zero_zero_real))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,N),zero_zero_int)).
% 115.32/114.11  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,N)),zero_zero_real))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,N),zero_zero_int)).
% 115.32/114.11  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_int_real(real_int,N)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),N)).
% 115.32/114.11  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_int_real(real_int,N)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),N)).
% 115.32/114.11  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(real_int,M)),hAPP_int_real(number267125858f_real,N)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,M),hAPP_int_int(number_number_of_int,N))).
% 115.32/114.11  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(real_int,M)),hAPP_int_real(number267125858f_real,N)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,M),hAPP_int_int(number_number_of_int,N))).
% 115.32/114.11  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(number267125858f_real,N)),hAPP_int_real(real_int,M)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,N)),M)).
% 115.32/114.11  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(number267125858f_real,N)),hAPP_int_real(real_int,M)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,N)),M)).
% 115.32/114.11  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,M)),hAPP_int_real(number267125858f_real,N)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,M),hAPP_int_int(number_number_of_int,N))).
% 115.32/114.11  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,M)),hAPP_int_real(number267125858f_real,N)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,M),hAPP_int_int(number_number_of_int,N))).
% 115.32/114.11  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(number267125858f_real,N)),hAPP_int_real(real_int,M)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(number_number_of_int,N)),M)).
% 115.32/114.11  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(number267125858f_real,N)),hAPP_int_real(real_int,M)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(number_number_of_int,N)),M)).
% 115.32/114.11  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,N),M))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_int_real(real_int,N)),one_one_real)),hAPP_int_real(real_int,M))).
% 115.32/114.11  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,N),M))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_int_real(real_int,N)),one_one_real)),hAPP_int_real(real_int,M))).
% 115.32/114.11  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,N),M))|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,M)),one_one_real))).
% 115.32/114.11  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,N),M))| -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,M)),one_one_real))).
% 115.32/114.11  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(real_int,N_1)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_int_real(real_int,X)),one_one_real)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,N_1),X)).
% 115.32/114.11  0 [] -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).
% 115.32/114.11  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_1),N)),zOdd))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),zOdd)).
% 115.32/114.11  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_1),N)),zOdd))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),zOdd)).
% 115.32/114.11  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,R_3),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_int_real(real_int,archim1246769320r_real(R_3))),one_one_real))).
% 115.32/114.11  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,R_3),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_int_real(real_int,archim1246769320r_real(R_3))),one_one_real))).
% 115.32/114.11  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(real_int,N_1)),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_1)),one_one_real)))|archim1246769320r_real(X)=N_1.
% 115.32/114.11  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,R_3),one_one_real)),hAPP_int_real(real_int,archim1246769320r_real(R_3)))).
% 115.32/114.11  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,R_3),one_one_real)),hAPP_int_real(real_int,archim1246769320r_real(R_3)))).
% 115.32/114.11  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,archim856651990g_real(R_3))),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,R_3),one_one_real))).
% 115.32/114.11  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_int_real(real_int,archim856651990g_real(R_3))),one_one_real)),R_3)).
% 115.32/114.11  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,M_1)),R_3))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,R_3),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_int_real(real_int,N_1)),one_one_real)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,M_1),N_1)).
% 115.32/114.11  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_int_real(real_int,N_1)),hAPP_int_real(real_int,X))),hAPP_int_real(real_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,N_1),X))))).
% 115.32/114.11  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_int_real(real_int,N_1)),hAPP_int_real(real_int,X))),hAPP_int_real(real_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,N_1),X)))),one_one_real)).
% 115.32/114.11  0 [] 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))).
% 115.32/114.11  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,N_1)),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_1)),one_one_real)))|archim1246769320r_real(X)=N_1.
% 115.32/114.11  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),archim1246769320r_real(X_1)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_int_real(real_int,Aa)),one_one_real)),X_1)).
% 115.32/114.11  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),archim1246769320r_real(X_1)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_int_real(real_int,Aa)),one_one_real)),X_1)).
% 115.32/114.11  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,archim1246769320r_real(X_1)),Aa))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_int_real(real_int,Aa)),one_one_real))).
% 115.32/114.11  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,archim1246769320r_real(X_1)),Aa))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_int_real(real_int,Aa)),one_one_real))).
% 115.32/114.11  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_int_real(real_int,N_1)),one_one_real)),X))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),hAPP_int_real(real_int,N_1)))|archim856651990g_real(X)=N_1.
% 115.32/114.11  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,archim856651990g_real(X_1)),Aa))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_int_real(real_int,Aa)),one_one_real))).
% 115.32/114.11  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,archim856651990g_real(X_1)),Aa))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_int_real(real_int,Aa)),one_one_real))).
% 115.32/114.11  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),archim856651990g_real(X_1)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_int_real(real_int,Aa)),one_one_real)),X_1)).
% 115.32/114.11  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),archim856651990g_real(X_1)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_int_real(real_int,Aa)),one_one_real)),X_1)).
% 115.32/114.11  0 [] -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)).
% 115.32/114.11  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(real_int,N_1)),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_1)),one_one_real)))|archim856651990g_real(X)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,N_1),one_one_int).
% 115.32/114.11  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),zEven))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))|hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(uminus_uminus_int,Aa)),hAPP_int_nat(nat,X_1))=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,Aa),hAPP_int_nat(nat,X_1)).
% 115.32/114.11  0 [] -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))).
% 115.32/114.11  0 [] -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)).
% 115.32/114.11  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,R_3),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,$f240(R_3))),R_3)).
% 115.32/114.11  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,R_3),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,R_3),hAPP_int_real(real_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f240(R_3)),one_one_int)))).
% 115.32/114.11  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),R_3))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,$f241(R_3))),R_3)).
% 115.32/114.11  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),R_3))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,R_3),hAPP_int_real(real_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f241(R_3)),one_one_int)))).
% 115.32/114.11  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,$f242(R_3))),R_3)).
% 115.32/114.11  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,R_3),hAPP_int_real(real_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f242(R_3)),one_one_int)))).
% 115.32/114.11  0 [] -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))).
% 115.32/114.11  0 [] -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)).
% 115.32/114.11  0 [] -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.
% 115.32/114.11  0 [] hAPP_real_real(cos,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,pi),hAPP_nat_real(real_nat,N_1)))=hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min)),N_1).
% 115.32/114.11  0 [] hAPP_real_real(cos,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N_1)),pi))=hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min)),N_1).
% 115.32/114.11  0 [] hAPP_real_real(cos,hAPP_real_real(uminus_uminus_real,X))=hAPP_real_real(cos,X).
% 115.32/114.11  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(cos,X)),one_one_real)).
% 115.32/114.11  0 [] hAPP_real_real(cos,zero_zero_real)=one_one_real.
% 115.32/114.11  0 [] hAPP_real_real(cos,hAPP_real_real(arctan,X))!=zero_zero_real.
% 115.32/114.11  0 [] -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))).
% 115.32/114.11  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(number267125858f_real,min)),hAPP_real_real(cos,X))).
% 115.32/114.11  0 [] 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)).
% 115.32/114.11  0 [] hAPP_real_real(cos,pi)=hAPP_int_real(number267125858f_real,min).
% 115.32/114.11  0 [] 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)).
% 115.32/114.11  0 [] -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))).
% 115.32/114.11  0 [] -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))).
% 115.32/114.11  0 [] -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.
% 115.32/114.11  0 [] -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.
% 115.32/114.11  0 [] -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))).
% 115.32/114.11  0 [] -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.
% 115.32/114.11  0 [] -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).
% 115.32/114.11  0 [] -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),$f243(Y))).
% 115.32/114.11  0 [] -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,$f243(Y)),pi)).
% 115.32/114.11  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(number267125858f_real,min)),Y))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y),one_one_real))|hAPP_real_real(cos,$f243(Y))=Y.
% 115.32/114.11  0 [] -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),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=$f243(Y).
% 115.32/114.11  0 [] 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)))).
% 115.32/114.11  0 [] 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))).
% 115.32/114.11  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_2),pls))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),hAPP_int_nat(number_number_of_nat,V_2))=one_one_nat.
% 115.32/114.11  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_2),pls))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),hAPP_int_nat(number_number_of_nat,V_2))=hAPP_int_nat(number_number_of_nat,hAPP_int_int(succ,V_2)).
% 115.32/114.11  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_2),pls))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,V_2)),one_one_nat)=one_one_nat.
% 115.32/114.11  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_2),pls))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,V_2)),one_one_nat)=hAPP_int_nat(number_number_of_nat,hAPP_int_int(succ,V_2)).
% 115.32/114.11  0 [] pls=zero_zero_int.
% 115.32/114.11  0 [] hAPP_real_real(tan,zero_zero_real)=zero_zero_real.
% 115.32/114.11  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),pls)).
% 115.32/114.11  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),pls)).
% 115.32/114.11  0 [] hAPP_int_int(hAPP_int_fun_int_int(times_times_int,pls),W)=pls.
% 115.32/114.11  0 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,pls),K_2)=K_2.
% 115.32/114.11  0 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K_2),pls)=K_2.
% 115.32/114.11  0 [] hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,K_2),pls)=K_2.
% 115.32/114.11  0 [] min!=pls.
% 115.32/114.11  0 [] pls!=min.
% 115.32/114.11  0 [] hAPP_int_int(uminus_uminus_int,pls)=pls.
% 115.32/114.11  0 [] hAPP_real_real(tan,hAPP_real_real(uminus_uminus_real,X))=hAPP_real_real(uminus_uminus_real,hAPP_real_real(tan,X)).
% 115.32/114.11  0 [] hAPP_real_real(tan,hAPP_real_real(arctan,Y))=Y.
% 115.32/114.11  0 [] zero_zero_nat=hAPP_int_nat(number_number_of_nat,pls).
% 115.32/114.11  0 [] hAPP_int_nat(number_number_of_nat,pls)=zero_zero_nat.
% 115.32/114.11  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),zero_zero_int)).
% 115.32/114.11  0 [] zero_zero_int=hAPP_int_int(number_number_of_int,pls).
% 115.32/114.11  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),pls)).
% 115.32/114.11  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),min)).
% 115.32/114.11  0 [] hAPP_real_real(tan,pi)=zero_zero_real.
% 115.32/114.11  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,min),pls)).
% 115.32/114.11  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),min)).
% 115.32/114.11  0 [] hAPP_int_int(number_number_of_int,pls)!=hAPP_int_int(number_number_of_int,min).
% 115.32/114.11  0 [] hAPP_real_real(tan,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X),pi))=hAPP_real_real(tan,X).
% 115.32/114.11  0 [] -hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,pls))).
% 115.32/114.11  0 [] hAPP_int_int(succ,min)=pls.
% 115.32/114.11  0 [] zero_zero_nat!=hAPP_int_nat(number_number_of_nat,V)|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,V),pls)).
% 115.32/114.11  0 [] zero_zero_nat=hAPP_int_nat(number_number_of_nat,V)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,V),pls)).
% 115.32/114.11  0 [] hAPP_int_nat(number_number_of_nat,V)!=zero_zero_nat|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,V),pls)).
% 115.32/114.11  0 [] hAPP_int_nat(number_number_of_nat,V)=zero_zero_nat| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,V),pls)).
% 115.32/114.11  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_int_nat(number_number_of_nat,V)),hAPP_int_nat(number_number_of_nat,V_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V),V_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),V_1)).
% 115.32/114.11  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_int_nat(number_number_of_nat,V)),hAPP_int_nat(number_number_of_nat,V_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V),V_1)).
% 115.32/114.11  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_int_nat(number_number_of_nat,V)),hAPP_int_nat(number_number_of_nat,V_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),V_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V),V_1)).
% 115.32/114.11  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(number_number_of_int,pls))).
% 115.32/114.11  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_int_nat(number_number_of_nat,V)),hAPP_int_nat(number_number_of_nat,V_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,V),V_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,V),pls)).
% 115.32/114.11  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_int_nat(number_number_of_nat,V)),hAPP_int_nat(number_number_of_nat,V_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,V),V_1)).
% 115.32/114.11  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_int_nat(number_number_of_nat,V)),hAPP_int_nat(number_number_of_nat,V_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,V),pls)).
% 115.32/114.11  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_int_nat(number_number_of_nat,V)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),V)).
% 115.32/114.11  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_int_nat(number_number_of_nat,V)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),V)).
% 115.32/114.11  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_2),pls))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,V_2)),hAPP_int_nat(number_number_of_nat,V_3))=hAPP_int_nat(number_number_of_nat,V_3).
% 115.32/114.11  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_2),pls))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_3),pls))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,V_2)),hAPP_int_nat(number_number_of_nat,V_3))=hAPP_int_nat(number_number_of_nat,V_2).
% 115.32/114.12  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_2),pls))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_3),pls))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,V_2)),hAPP_int_nat(number_number_of_nat,V_3))=hAPP_int_nat(number_number_of_nat,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_2),V_3)).
% 115.32/114.12  0 [] hAPP_real_real(tan,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N_1)),pi))=zero_zero_real.
% 115.32/114.12  0 [] 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_1)),pi)))=hAPP_real_real(tan,X).
% 115.32/114.12  0 [] 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_1)),pi)))=hAPP_real_real(tan,X).
% 115.32/114.12  0 [] 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).
% 115.32/114.12  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_2),pls))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,V_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,V_3)),K_2))=zero_zero_nat.
% 115.32/114.12  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_2),pls))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,V_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,V_3)),K_2))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,V_2),V_3))),K_2).
% 115.32/114.12  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_2),pls))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,V_2)),hAPP_int_nat(number_number_of_nat,V_3))=zero_zero_nat.
% 115.32/114.12  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_2),pls))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,V_2)),hAPP_int_nat(number_number_of_nat,V_3))=hAPP_int_nat(number_number_of_nat,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,V_2),V_3)).
% 115.32/114.12  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,V_2),pls))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_int_nat(number_number_of_nat,V_2)),one_one_nat)=zero_zero_nat.
% 115.32/114.12  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,V_2),pls))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_int_nat(number_number_of_nat,V_2)),one_one_nat)=hAPP_int_nat(number_number_of_nat,hAPP_int_int(pred,V_2)).
% 115.32/114.12  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),V_2))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(suc,M_1)),hAPP_int_nat(number_number_of_nat,V_2))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(pred,V_2))).
% 115.32/114.12  0 [] hAPP_int_int(bit1,K_1)!=hAPP_int_int(bit1,L)|K_1=L.
% 115.32/114.12  0 [] hAPP_int_int(bit1,K_1)=hAPP_int_int(bit1,L)|K_1!=L.
% 115.32/114.12  0 [] 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))).
% 115.32/114.12  0 [] hAPP_int_int(bit1,K_2)!=pls.
% 115.32/114.12  0 [] pls!=hAPP_int_int(bit1,L_2).
% 115.32/114.12  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(bit1,K_1)),hAPP_int_int(bit1,L)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),L)).
% 115.32/114.12  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(bit1,K_1)),hAPP_int_int(bit1,L)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),L)).
% 115.32/114.12  0 [] -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)).
% 115.32/114.12  0 [] 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)).
% 115.32/114.12  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(bit1,K_1)),hAPP_int_int(bit1,L)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),L)).
% 115.32/114.12  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(bit1,K_1)),hAPP_int_int(bit1,L)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),L)).
% 115.32/114.12  0 [] -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)).
% 115.32/114.12  0 [] 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)).
% 115.32/114.12  0 [] hAPP_int_int(bit1,K_1)!=min|K_1=min.
% 115.32/114.12  0 [] hAPP_int_int(bit1,K_1)=min|K_1!=min.
% 115.32/114.12  0 [] min!=hAPP_int_int(bit1,L)|min=L.
% 115.32/114.12  0 [] min=hAPP_int_int(bit1,L)|min!=L.
% 115.32/114.12  0 [] hAPP_int_int(bit1,min)=min.
% 115.32/114.12  0 [] hAPP_int_int(succ,hAPP_int_int(pred,X))=X.
% 115.32/114.12  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(bit1,K_1)),pls))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),pls)).
% 115.32/114.12  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(bit1,K_1)),pls))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),pls)).
% 115.32/114.12  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(bit1,W_1)),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),zero_zero_int)).
% 115.32/114.12  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(bit1,W_1)),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),zero_zero_int)).
% 115.32/114.12  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),hAPP_int_int(bit1,K_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),K_1)).
% 115.32/114.12  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),hAPP_int_int(bit1,K_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),K_1)).
% 115.32/114.12  0 [] 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).
% 115.32/114.12  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(bit1,K_1)),min))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),min)).
% 115.32/114.12  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(bit1,K_1)),min))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),min)).
% 115.32/114.12  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),hAPP_int_int(bit1,K_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),K_1)).
% 115.32/114.12  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),hAPP_int_int(bit1,K_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),K_1)).
% 115.32/114.12  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(bit1,K_1)),min))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),min)).
% 115.32/114.12  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(bit1,K_1)),min))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),min)).
% 115.32/114.12  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,min),hAPP_int_int(bit1,K_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,min),K_1)).
% 115.32/114.12  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,min),hAPP_int_int(bit1,K_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,min),K_1)).
% 115.32/114.12  0 [] -hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,W_1))))|hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,W_1))).
% 115.32/114.12  0 [] hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,W_1))))| -hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,W_1))).
% 115.32/114.12  0 [] hAPP_int_int(succ,pls)=hAPP_int_int(bit1,pls).
% 115.32/114.12  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),L))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(pred,K_1)),L)).
% 115.32/114.12  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),L))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(pred,K_1)),L)).
% 115.32/114.12  0 [] hAPP_int_int(pred,pls)=min.
% 115.32/114.12  0 [] hAPP_int_int(pred,K_2)=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,K_2),one_one_int).
% 115.32/114.12  0 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,min),K_2)=hAPP_int_int(pred,K_2).
% 115.32/114.12  0 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K_2),min)=hAPP_int_int(pred,K_2).
% 115.32/114.12  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),hAPP_int_int(bit1,K_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),K_1)).
% 115.32/114.12  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),hAPP_int_int(bit1,K_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),K_1)).
% 115.32/114.12  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(bit1,K_1)),pls))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),pls)).
% 115.32/114.12  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(bit1,K_1)),pls))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),pls)).
% 115.32/114.12  0 [] one_one_int=hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,pls)).
% 115.32/114.12  0 [] one_one_nat=hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit1,pls)).
% 115.32/114.12  0 [] hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit1,pls))=one_one_nat.
% 115.32/114.12  0 [] 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)).
% 115.32/114.12  0 [] hAPP_int_int(uminus_uminus_int,min)=hAPP_int_int(bit1,pls).
% 115.32/114.12  0 [] 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))).
% 115.32/114.12  0 [] hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit1,pls))=hAPP_nat_nat(suc,zero_zero_nat).
% 115.32/114.12  0 [] hAPP_nat_nat(suc,hAPP_nat_nat(suc,hAPP_nat_nat(suc,N_1)))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit1,hAPP_int_int(bit1,pls)))),N_1).
% 115.32/114.12  0 [] 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))))).
% 115.32/114.12  0 [] 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)))).
% 115.32/114.12  0 [] hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(uminus_uminus_int,A_2)),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_2),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit1,hAPP_int_int(bit1,pls))))).
% 115.32/114.12  0 [] 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)))).
% 115.32/114.12  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_int_nat(number_number_of_nat,pls)),N_1))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(suc,M_1)),N_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit1,pls)))).
% 115.32/114.12  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(suc,hAPP_nat_nat(suc,hAPP_nat_nat(suc,M_1)))),hAPP_int_nat(number_number_of_nat,V_2))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit1,hAPP_int_int(bit1,pls)))),M_1)),hAPP_int_nat(number_number_of_nat,V_2)).
% 115.32/114.12  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(suc,hAPP_nat_nat(suc,hAPP_nat_nat(suc,M_1)))),N_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit1,hAPP_int_int(bit1,pls)))),M_1)),N_1).
% 115.32/114.12  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M_1),hAPP_nat_nat(suc,hAPP_nat_nat(suc,hAPP_nat_nat(suc,N_1))))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit1,hAPP_int_int(bit1,pls)))),N_1)).
% 115.32/114.12  0 [] hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(suc,hAPP_nat_nat(suc,hAPP_nat_nat(suc,M_1)))),hAPP_int_nat(number_number_of_nat,V_2))=hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit1,hAPP_int_int(bit1,pls)))),M_1)),hAPP_int_nat(number_number_of_nat,V_2)).
% 115.32/114.12  0 [] hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(suc,hAPP_nat_nat(suc,hAPP_nat_nat(suc,M_1)))),N_1)=hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit1,hAPP_int_int(bit1,pls)))),M_1)),N_1).
% 115.32/114.12  0 [] hAPP_nat_nat(div_mod_nat(M_1),hAPP_nat_nat(suc,hAPP_nat_nat(suc,hAPP_nat_nat(suc,N_1))))=hAPP_nat_nat(div_mod_nat(M_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit1,hAPP_int_int(bit1,pls)))),N_1)).
% 115.32/114.12  0 [] -hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,V))))|hAPP_int_nat(number_number_of_nat,V)=zero_zero_nat.
% 115.32/114.12  0 [] hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,V))))|hAPP_int_nat(number_number_of_nat,V)!=zero_zero_nat.
% 115.32/114.12  0 [] 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)))))).
% 115.32/114.12  0 [] 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_1))))),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))=zero_zero_real.
% 115.32/114.12  0 [] 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)))))).
% 115.32/114.12  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_2),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_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)))),A_2))=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_1),one_one_int)),A_2))),one_one_int).
% 115.32/114.12  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(number_number_of_int,W)))|hAPP_int_int(div_mod_int(hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,V_2))),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,W)))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),hAPP_int_int(div_mod_int(hAPP_int_int(number_number_of_int,V_2)),hAPP_int_int(number_number_of_int,W)))),one_one_int).
% 115.32/114.12  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(number_number_of_int,W)))|hAPP_int_int(div_mod_int(hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,V_2))),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,W)))=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(number_number_of_int,V_2)),one_one_int)),hAPP_int_int(number_number_of_int,W)))),one_one_int).
% 115.32/114.12  0 [] 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))).
% 115.32/114.12  0 [] 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)))))).
% 115.32/114.12  0 [] hAPP_real_real(tan,hAPP_real_real(arctan,Y))=Y.
% 115.32/114.12  0 [] hAPP_int_int(bit0,K_1)!=hAPP_int_int(bit0,L)|K_1=L.
% 115.32/114.12  0 [] hAPP_int_int(bit0,K_1)=hAPP_int_int(bit0,L)|K_1!=L.
% 115.32/114.12  0 [] hAPP_int_int(bit0,K_2)!=hAPP_int_int(bit1,L_2).
% 115.32/114.12  0 [] hAPP_int_int(bit1,K_2)!=hAPP_int_int(bit0,L_2).
% 115.32/114.12  0 [] hAPP_int_int(bit0,pls)=pls.
% 115.32/114.12  0 [] pls!=hAPP_int_int(bit0,L)|pls=L.
% 115.32/114.12  0 [] pls=hAPP_int_int(bit0,L)|pls!=L.
% 115.32/114.12  0 [] hAPP_int_int(bit0,K_1)!=pls|K_1=pls.
% 115.32/114.12  0 [] hAPP_int_int(bit0,K_1)=pls|K_1!=pls.
% 115.32/114.12  0 [] -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)).
% 115.32/114.12  0 [] 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)).
% 115.32/114.12  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(bit0,K_1)),hAPP_int_int(bit0,L)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),L)).
% 115.32/114.12  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(bit0,K_1)),hAPP_int_int(bit0,L)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),L)).
% 115.32/114.12  0 [] -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)).
% 115.32/114.12  0 [] 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)).
% 115.32/114.12  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(bit0,K_1)),hAPP_int_int(bit0,L)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),L)).
% 115.32/114.12  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(bit0,K_1)),hAPP_int_int(bit0,L)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),L)).
% 115.32/114.12  0 [] 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)).
% 115.32/114.12  0 [] hAPP_int_int(bit0,K_2)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K_2),K_2).
% 115.32/114.12  0 [] 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)).
% 115.32/114.12  0 [] 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)).
% 115.32/114.12  0 [] min!=hAPP_int_int(bit0,L_2).
% 115.32/114.12  0 [] hAPP_int_int(bit0,K_2)!=min.
% 115.32/114.12  0 [] hAPP_int_int(uminus_uminus_int,hAPP_int_int(bit0,K_2))=hAPP_int_int(bit0,hAPP_int_int(uminus_uminus_int,K_2)).
% 115.32/114.12  0 [] -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)).
% 115.32/114.12  0 [] 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)).
% 115.32/114.12  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(bit1,K_1)),hAPP_int_int(bit0,L)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),L)).
% 115.32/114.12  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(bit1,K_1)),hAPP_int_int(bit0,L)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),L)).
% 115.32/114.12  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(bit0,K_1)),pls))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),pls)).
% 115.32/114.12  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(bit0,K_1)),pls))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),pls)).
% 115.32/114.12  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),hAPP_int_int(bit0,K_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),K_1)).
% 115.32/114.12  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),hAPP_int_int(bit0,K_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),K_1)).
% 115.32/114.12  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(bit0,W_1)),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),zero_zero_int)).
% 115.32/114.12  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(bit0,W_1)),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),zero_zero_int)).
% 115.32/114.12  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(bit0,K_1)),hAPP_int_int(bit1,L)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),L)).
% 115.32/114.12  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(bit0,K_1)),hAPP_int_int(bit1,L)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),L)).
% 115.32/114.12  0 [] -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)).
% 115.32/114.12  0 [] 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)).
% 115.32/114.12  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(bit0,K_1)),pls))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),pls)).
% 115.32/114.12  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(bit0,K_1)),pls))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),pls)).
% 115.32/114.12  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),hAPP_int_int(bit0,K_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),K_1)).
% 115.32/114.12  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),hAPP_int_int(bit0,K_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),K_1)).
% 115.32/114.12  0 [] 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)).
% 115.32/114.12  0 [] 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)).
% 115.32/114.12  0 [] 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)).
% 115.32/114.12  0 [] 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)).
% 115.32/114.12  0 [] 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)).
% 115.32/114.12  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),hAPP_int_int(bit0,K_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),K_1)).
% 115.32/114.12  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),hAPP_int_int(bit0,K_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),K_1)).
% 115.32/114.12  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(bit0,K_1)),min))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),min)).
% 115.32/114.12  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(bit0,K_1)),min))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),min)).
% 115.32/114.12  0 [] hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,V_2))),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,W)))=hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(number_number_of_int,V_2)),hAPP_int_int(number_number_of_int,W)).
% 115.32/114.12  0 [] -hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,W_1))))|hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,W_1))).
% 115.32/114.12  0 [] hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,W_1))))| -hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,W_1))).
% 115.32/114.12  0 [] hAPP_int_int(pred,hAPP_int_int(bit1,K_2))=hAPP_int_int(bit0,K_2).
% 115.32/114.12  0 [] hAPP_int_int(pred,hAPP_int_int(bit0,K_2))=hAPP_int_int(bit1,hAPP_int_int(pred,K_2)).
% 115.32/114.12  0 [] hAPP_int_int(pred,min)=hAPP_int_int(bit0,min).
% 115.32/114.12  0 [] hAPP_int_int(succ,hAPP_int_int(bit1,K_2))=hAPP_int_int(bit0,hAPP_int_int(succ,K_2)).
% 115.32/114.12  0 [] hAPP_int_int(succ,hAPP_int_int(bit0,K_2))=hAPP_int_int(bit1,K_2).
% 115.32/114.12  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(bit0,K_1)),hAPP_int_int(bit1,L)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),L)).
% 115.32/114.12  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(bit0,K_1)),hAPP_int_int(bit1,L)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),L)).
% 115.32/114.12  0 [] -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)).
% 115.32/114.12  0 [] 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)).
% 115.32/114.12  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(bit1,K_1)),hAPP_int_int(bit0,L)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),L)).
% 115.32/114.12  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(bit1,K_1)),hAPP_int_int(bit0,L)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),L)).
% 115.32/114.12  0 [] -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)).
% 115.32/114.12  0 [] 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)).
% 115.32/114.12  0 [] 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).
% 115.32/114.12  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(bit0,K_1)),min))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),min)).
% 115.32/114.12  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(bit0,K_1)),min))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),min)).
% 115.32/114.12  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,min),hAPP_int_int(bit0,K_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),K_1)).
% 115.32/114.12  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,min),hAPP_int_int(bit0,K_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),K_1)).
% 115.32/114.12  0 [] 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)).
% 115.32/114.12  0 [] 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)).
% 115.32/114.12  0 [] 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)).
% 115.32/114.12  0 [] 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))).
% 115.32/114.12  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(number_number_of_int,N_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,N_1)))).
% 115.32/114.12  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(number_number_of_int,N_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,N_1)))).
% 115.32/114.12  0 [] 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))))).
% 115.32/114.12  0 [] 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)).
% 115.32/114.12  0 [] 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))).
% 115.32/114.12  0 [] 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))))).
% 115.32/114.12  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=hAPP_nat_nat(suc,hAPP_nat_nat(suc,N_1)).
% 115.32/114.12  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N_1)=hAPP_nat_nat(suc,hAPP_nat_nat(suc,N_1)).
% 115.32/114.12  0 [] 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))))).
% 115.32/114.12  0 [] 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).
% 115.32/114.12  0 [] 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).
% 115.32/114.12  0 [] 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))).
% 115.32/114.12  0 [] 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)))).
% 115.32/114.12  0 [] X_1!=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,Y_2),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),Z_2))|hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),X_1)=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,Y_2),Z_2).
% 115.32/114.12  0 [] X_1=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,Y_2),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),Z_2))|hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),X_1)!=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,Y_2),Z_2).
% 115.32/114.12  0 [] hAPP_real_real(cos,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))!=zero_zero_real.
% 115.32/114.12  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(suc,hAPP_nat_nat(suc,M_1))),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_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))).
% 115.32/114.12  0 [] 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)))))).
% 115.32/114.12  0 [] hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(suc,hAPP_nat_nat(suc,M_1))),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=hAPP_nat_nat(div_mod_nat(M_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))).
% 115.32/114.12  0 [] 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)).
% 115.32/114.12  0 [] 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)))))).
% 115.32/114.12  0 [] hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_2),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_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,A_2),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit1,hAPP_int_int(bit1,pls)))).
% 115.32/114.12  0 [] 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.
% 115.32/114.12  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),M_1)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=M_1.
% 115.32/114.12  0 [] hAPP_int_int(div_mod_int(hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,V_2))),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,W)))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),hAPP_int_int(div_mod_int(hAPP_int_int(number_number_of_int,V_2)),hAPP_int_int(number_number_of_int,W))).
% 115.32/114.12  0 [] 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))).
% 115.32/114.12  0 [] hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,Aa),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,Ba),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))|hAPP_int_int(abs_abs_int,Aa)=hAPP_int_int(abs_abs_int,Ba).
% 115.32/114.12  0 [] hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,Aa),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,Ba),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))|hAPP_int_int(abs_abs_int,Aa)!=hAPP_int_int(abs_abs_int,Ba).
% 115.32/114.12  0 [] hAPP_int_int(abs_abs_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_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,hAPP_int_int(abs_abs_int,A_2)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))).
% 115.32/114.12  0 [] X_1!=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),K_1)|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),zEven)).
% 115.32/114.12  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))|N_1=zero_zero_nat|N_1=hAPP_nat_nat(suc,zero_zero_nat).
% 115.32/114.12  0 [] 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)).
% 115.32/114.12  0 [] hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,Y_2),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))!=zero_zero_real|X_1=zero_zero_real.
% 115.32/114.12  0 [] hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,Y_2),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))!=zero_zero_real|Y_2=zero_zero_real.
% 115.32/114.12  0 [] hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,Y_2),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))=zero_zero_real|X_1!=zero_zero_real|Y_2!=zero_zero_real.
% 115.32/114.12  0 [] 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)).
% 115.32/114.12  0 [] 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)).
% 115.32/114.12  0 [] 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)))).
% 115.32/114.12  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N_1))).
% 115.32/114.12  0 [] hAPP_int_int(div_mod_int(X_1),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=zero_zero_int|hAPP_int_int(div_mod_int(X_1),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=one_one_int.
% 115.32/114.12  0 [] hAPP_int_int(div_mod_int(X_1),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))!=zero_zero_int|hAPP_int_int(div_mod_int(X_1),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))!=one_one_int.
% 115.32/114.12  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(real_nat,N_1)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N_1))).
% 115.32/114.12  0 [] -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)).
% 115.32/114.12  0 [] -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)))))).
% 115.32/114.12  0 [] 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)))))).
% 115.32/114.12  0 [] hAPP_nat_nat(div_mod_nat(M_1),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_1),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_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))=hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))|hAPP_nat_nat(div_mod_nat(M_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))=hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit1,hAPP_int_int(bit1,pls))).
% 115.32/114.12  0 [] 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))))).
% 115.32/114.12  0 [] 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.
% 115.32/114.12  0 [] 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))))).
% 115.32/114.12  0 [] 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_1),A_2)),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),A_2)=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,B_1),A_2)),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))).
% 115.32/114.12  0 [] 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_2),B_1)),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),A_2)=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,B_1),A_2)),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))).
% 115.32/114.12  0 [] hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_2),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_2)=one_one_int.
% 115.32/114.12  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),zEven))|hAPP_int_int(div_mod_int(X_1),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=zero_zero_int.
% 115.32/114.12  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Y_2),zEven))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_2))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,X_1),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,Y_2),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))).
% 115.32/114.12  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),zEven))|hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,X_1),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))=X_1.
% 115.32/114.12  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),zEven))|hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_1),Y_2)),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,X_1),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),Y_2).
% 115.32/114.12  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),zEven))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Y_2),zEven))|hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_1),Y_2)),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,X_1),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,Y_2),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))).
% 115.32/114.12  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))|X=zero_zero_int|X=one_one_int.
% 115.32/114.12  0 [] N_1=zero_zero_nat|hAPP_nat_nat(suc,hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N_1)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N_1).
% 115.32/114.12  0 [] N_1=zero_zero_nat|hAPP_nat_nat(suc,hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),N_1)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),N_1).
% 115.32/114.12  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,N_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))).
% 115.32/114.12  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(div_mod_nat(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))))=one_one_nat.
% 115.32/114.12  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(div_mod_nat(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))))!=one_one_nat.
% 115.32/114.12  0 [] hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N_1)),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))=hAPP_nat_real(real_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),N_1)).
% 115.32/114.12  0 [] 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)))))).
% 115.32/114.12  0 [] 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)))))).
% 115.32/114.12  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(number_number_of_int,W)))|hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,V_2))),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,W)))=hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(number_number_of_int,V_2)),hAPP_int_int(number_number_of_int,W)).
% 115.32/114.12  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(number_number_of_int,W)))|hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,V_2))),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,W)))=hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(number_number_of_int,V_2)),one_one_int)),hAPP_int_int(number_number_of_int,W)).
% 115.32/114.12  0 [] -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)).
% 115.32/114.12  0 [] hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_2),B_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(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_2),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),A_2)),B_1))),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))))).
% 115.32/114.12  0 [] hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_2),B_1)),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_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(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_2),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),B_1))),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_2)),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_nat_int(hAPP_int_fun_nat_int(power_power_int,B_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit1,hAPP_int_int(bit1,pls))))).
% 115.32/114.12  0 [] 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)).
% 115.32/114.12  0 [] hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_2),B_1)),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_2),B_1))=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_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_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))).
% 115.32/114.12  0 [] 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)).
% 115.32/114.12  0 [] 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.
% 115.32/114.12  0 [] 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.
% 115.32/114.12  0 [] 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).
% 115.32/114.12  0 [] 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)))).
% 115.32/114.12  0 [] X_1!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),K_1)),one_one_int)|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),zOdd)).
% 115.32/114.12  0 [] 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).
% 115.32/114.12  0 [] 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.
% 115.32/114.12  0 [] 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)))))).
% 115.32/114.12  0 [] 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))))).
% 115.32/114.12  0 [] N_1=zero_zero_nat|hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N_1)),one_one_nat))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N_1).
% 115.32/114.12  0 [] -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))))))).
% 115.32/114.12  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_1),one_one_nat)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))).
% 115.32/114.13  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,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)).
% 115.32/114.13  0 [] -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))))).
% 115.32/114.13  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,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))).
% 115.32/114.13  0 [] hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_2),B_1)),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_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(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_2),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),B_1))),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_2)),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_nat_int(hAPP_int_fun_nat_int(power_power_int,B_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit1,hAPP_int_int(bit1,pls))))).
% 115.32/114.13  0 [] hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_2),B_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(minus_minus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_2),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),A_2)),B_1))),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))))).
% 115.32/114.13  0 [] 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)).
% 115.32/114.13  0 [] 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.
% 115.32/114.13  0 [] hAPP_real_real(cos,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),hAPP_nat_real(real_nat,N_1))),pi))=one_one_real.
% 115.32/114.13  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,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))).
% 115.32/114.13  0 [] -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))).
% 115.32/114.13  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),Y_2))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_2),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),X_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_2),X_1))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(tan,Y_2)),hAPP_real_real(tan,X_1))).
% 115.32/114.13  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),Y_2))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_2),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),X_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_2),X_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(tan,Y_2)),hAPP_real_real(tan,X_1))).
% 115.32/114.13  0 [] 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)).
% 115.32/114.13  0 [] 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))).
% 115.32/114.13  0 [] 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)))))).
% 115.32/114.13  0 [] 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))).
% 115.32/114.13  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_2),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_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)))),A_2))=hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_1),one_one_int)),A_2).
% 115.32/114.13  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_2))|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_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)))),A_2))=hAPP_int_int(hAPP_int_fun_int_int(div_div_int,B_1),A_2).
% 115.32/114.13  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_2))|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_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)))),A_2))=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_1),A_2))).
% 115.32/114.13  0 [] -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))).
% 115.32/114.13  0 [] -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))).
% 115.32/114.13  0 [] -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)))),Pa))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Pa),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,Pa),one_one_int)),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))).
% 115.32/114.13  0 [] -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)).
% 115.32/114.13  0 [] 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)))))))))))).
% 115.32/114.13  0 [] -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.
% 115.32/114.13  0 [] -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_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))))))),$f244(X))).
% 115.32/114.13  0 [] -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,$f244(X)),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))).
% 115.32/114.13  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(abs_abs_real,X)),one_one_real))|hAPP_real_real(tan,$f244(X))=X.
% 115.32/114.13  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X_1))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),zOdd))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),hAPP_int_int(abs_abs_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Y_2),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f245(Y_2,X_1)),X_1))))),X_1)).
% 115.32/114.13  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Y))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),$f246(Y))).
% 115.32/114.13  0 [] -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,$f246(Y)),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))).
% 115.32/114.13  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Y))|hAPP_real_real(tan,$f246(Y))=Y.
% 115.32/114.13  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X))|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,$f247(Y,X)),X))))),X)).
% 115.32/114.13  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),P_3))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(nat,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,P_3),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),hAPP_int_nat(nat,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,P_3),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(nat,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,P_3),one_one_int))),hAPP_int_nat(nat,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,P_3),hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,hAPP_int_int(bit1,pls))))))).
% 115.32/114.13  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),M_1))|hAPP_nat_nat(suc,hAPP_int_nat(nat,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,M_1),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))=hAPP_int_nat(nat,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,M_1),one_one_int)).
% 115.32/114.13  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),$f248(Y))).
% 115.32/114.13  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,$f248(Y)),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))).
% 115.32/114.13  0 [] hAPP_real_real(tan,$f248(Y))=Y.
% 115.32/114.13  0 [] -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=$f248(Y).
% 115.32/114.13  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),$f249(Y))).
% 115.32/114.13  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,$f249(Y)),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))).
% 115.32/114.13  0 [] hAPP_real_real(tan,$f249(Y))=Y.
% 115.32/114.13  0 [] -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),$f250(Y))).
% 115.32/114.13  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Y))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,$f250(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)))))).
% 115.32/114.13  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Y))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y),hAPP_real_real(tan,$f250(Y)))).
% 115.32/114.13  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),zOdd))|X_1=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),$f251(X_1))),one_one_int).
% 115.32/114.13  0 [] 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)).
% 115.32/114.13  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),$c1)).
% 115.32/114.13  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$c1),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))).
% 115.32/114.13  0 [] hAPP_real_real(cos,$c1)=zero_zero_real.
% 115.32/114.13  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Y_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_1),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))|hAPP_real_real(cos,Y_1)!=zero_zero_real|Y_1=$c1.
% 115.32/114.13  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),zEven))|X_1=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),$f252(X_1)).
% 115.32/114.13  0 [] -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))).
% 115.32/114.13  0 [] -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_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)))).
% 115.32/114.13  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(number_number_of_int,V_2)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(number_number_of_int,W)),hAPP_int_int(number_number_of_int,V_2))))|negDivAlg(hAPP_int_int(number_number_of_int,W),hAPP_int_int(number_number_of_int,V_2))=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,hAPP_int_int(number_number_of_int,min)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(number_number_of_int,W)),hAPP_int_int(number_number_of_int,V_2))).
% 115.32/114.13  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(number_number_of_int,V_2)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(number_number_of_int,W)),hAPP_int_int(number_number_of_int,V_2))))|negDivAlg(hAPP_int_int(number_number_of_int,W),hAPP_int_int(number_number_of_int,V_2))=hAPP_P1975530577nt_int(adjust(hAPP_int_int(number_number_of_int,V_2)),negDivAlg(hAPP_int_int(number_number_of_int,W),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),hAPP_int_int(number_number_of_int,V_2)))).
% 115.32/114.13  0 [] -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(plus_plus_int,A_2),B_1)))|negDivAlg(A_2,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_2),B_1)).
% 115.32/114.13  0 [] -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(plus_plus_int,A_2),B_1)))|negDivAlg(A_2,B_1)=hAPP_P1975530577nt_int(adjust(B_1),negDivAlg(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_1))).
% 115.32/114.13  0 [] -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,A_2),B_1))|posDivAlg(A_2,B_1)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,zero_zero_int),A_2).
% 115.32/114.13  0 [] -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,A_2),B_1))|posDivAlg(A_2,B_1)=hAPP_P1975530577nt_int(adjust(B_1),posDivAlg(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_1))).
% 115.32/114.13  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(number_number_of_int,V_2)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,W)),hAPP_int_int(number_number_of_int,V_2)))|posDivAlg(hAPP_int_int(number_number_of_int,W),hAPP_int_int(number_number_of_int,V_2))=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,zero_zero_int),hAPP_int_int(number_number_of_int,W)).
% 115.32/114.13  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(number_number_of_int,V_2)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,W)),hAPP_int_int(number_number_of_int,V_2)))|posDivAlg(hAPP_int_int(number_number_of_int,W),hAPP_int_int(number_number_of_int,V_2))=hAPP_P1975530577nt_int(adjust(hAPP_int_int(number_number_of_int,V_2)),posDivAlg(hAPP_int_int(number_number_of_int,W),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),hAPP_int_int(number_number_of_int,V_2)))).
% 115.32/114.13  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_2),B_1))|posDivAlg(A_2,B_1)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,zero_zero_int),A_2).
% 115.32/114.13  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_1),zero_zero_int))|posDivAlg(A_2,B_1)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,zero_zero_int),A_2).
% 115.32/114.13  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_2),B_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_1),zero_zero_int))|posDivAlg(A_2,B_1)=hAPP_P1975530577nt_int(adjust(B_1),posDivAlg(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_1))).
% 115.32/114.13  0 [] -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).
% 115.32/114.13  0 [] -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_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)))).
% 115.32/114.13  0 [] -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_1)))|negDivAlg(A_2,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_2),B_1)).
% 115.32/114.13  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_1),zero_zero_int))|negDivAlg(A_2,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_2),B_1)).
% 115.32/114.13  0 [] 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_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_1),zero_zero_int))|negDivAlg(A_2,B_1)=hAPP_P1975530577nt_int(adjust(B_1),negDivAlg(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_1))).
% 115.32/114.13  0 [] -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))).
% 115.32/114.13  0 [] -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(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)))))).
% 115.32/114.13  0 [] -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))).
% 115.32/114.13  0 [] -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)))))).
% 115.32/114.13  0 [] -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))).
% 115.32/114.13  0 [] -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)))))).
% 115.32/114.13  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))|hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,N_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N_1)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,zero_zero_real),N_1))=zero_zero_real.
% 115.32/114.13  0 [] hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N_1))!=zero_zero_real.
% 115.32/114.13  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N_1)))).
% 115.32/114.13  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N_1)))).
% 115.32/114.13  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),hAPP_nat_nat(suc,M_1)))|hAPP_nat_nat(fact_fact_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(suc,M_1)),N_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(suc,M_1)),N_1)),hAPP_nat_nat(fact_fact_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N_1))).
% 115.32/114.13  0 [] M_1!=zero_zero_nat|hAPP_nat_nat(fact_fact_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N_1))=hAPP_nat_nat(fact_fact_nat,N_1).
% 115.32/114.13  0 [] M_1=zero_zero_nat|hAPP_nat_nat(fact_fact_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N_1)),hAPP_nat_nat(fact_fact_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),one_one_nat)),N_1))).
% 115.32/114.13  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N_1)!=zero_zero_nat|hAPP_nat_nat(fact_fact_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N_1))=one_one_nat.
% 115.32/114.13  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N_1)=zero_zero_nat|hAPP_nat_nat(fact_fact_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N_1)),hAPP_nat_nat(fact_fact_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N_1)),one_one_nat))).
% 115.32/114.13  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))|hAPP_nat_nat(fact_fact_nat,N_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N_1),hAPP_nat_nat(fact_fact_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_1),one_one_nat))).
% 115.32/114.13  0 [] M_1!=zero_zero_nat|hAPP_nat_nat(fact_fact_nat,M_1)=one_one_nat.
% 115.32/114.13  0 [] M_1=zero_zero_nat|hAPP_nat_nat(fact_fact_nat,M_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),hAPP_nat_nat(fact_fact_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),one_one_nat))).
% 115.32/114.13  0 [] hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(hAPP_b646336293l_real(if_real,hAPP_nat_bool(even_odd_even_nat,N)),zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),hAPP_nat_nat(suc,zero_zero_nat))),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N))))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,zero_zero_real),N))=zero_zero_real.
% 115.32/114.13  0 [] -hBOOL(hAPP_nat_bool(even_odd_even_nat,one_one_nat)).
% 115.32/114.13  0 [] -hBOOL(hAPP_nat_bool(even_odd_even_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,X_1),Y_2)))|hBOOL(hAPP_nat_bool(even_odd_even_nat,X_1))|hBOOL(hAPP_nat_bool(even_odd_even_nat,Y_2)).
% 115.32/114.13  0 [] hBOOL(hAPP_nat_bool(even_odd_even_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,X_1),Y_2)))| -hBOOL(hAPP_nat_bool(even_odd_even_nat,X_1)).
% 115.32/114.13  0 [] hBOOL(hAPP_nat_bool(even_odd_even_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,X_1),Y_2)))| -hBOOL(hAPP_nat_bool(even_odd_even_nat,Y_2)).
% 115.32/114.13  0 [] -hBOOL(hAPP_nat_bool(even_odd_even_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X_1),Y_2)))|hBOOL(hAPP_nat_bool(even_odd_even_nat,X_1))| -hBOOL(hAPP_nat_bool(even_odd_even_nat,Y_2)).
% 115.32/114.13  0 [] -hBOOL(hAPP_nat_bool(even_odd_even_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X_1),Y_2)))|hBOOL(hAPP_nat_bool(even_odd_even_nat,Y_2))| -hBOOL(hAPP_nat_bool(even_odd_even_nat,X_1)).
% 115.32/114.13  0 [] hBOOL(hAPP_nat_bool(even_odd_even_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X_1),Y_2)))| -hBOOL(hAPP_nat_bool(even_odd_even_nat,X_1))| -hBOOL(hAPP_nat_bool(even_odd_even_nat,Y_2)).
% 115.32/114.13  0 [] hBOOL(hAPP_nat_bool(even_odd_even_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X_1),Y_2)))|hBOOL(hAPP_nat_bool(even_odd_even_nat,X_1))|hBOOL(hAPP_nat_bool(even_odd_even_nat,Y_2)).
% 115.32/114.13  0 [] -hBOOL(hAPP_nat_bool(even_odd_even_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),N)))| -hBOOL(hAPP_nat_bool(even_odd_even_nat,M))|hBOOL(hAPP_nat_bool(even_odd_even_nat,N)).
% 115.32/114.13  0 [] -hBOOL(hAPP_nat_bool(even_odd_even_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),N)))|hBOOL(hAPP_nat_bool(even_odd_even_nat,M))| -hBOOL(hAPP_nat_bool(even_odd_even_nat,N)).
% 115.32/114.13  0 [] hBOOL(hAPP_nat_bool(even_odd_even_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),N)))|hBOOL(hAPP_nat_bool(even_odd_even_nat,M))|hBOOL(hAPP_nat_bool(even_odd_even_nat,N)).
% 115.32/114.13  0 [] hBOOL(hAPP_nat_bool(even_odd_even_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),N)))| -hBOOL(hAPP_nat_bool(even_odd_even_nat,M))| -hBOOL(hAPP_nat_bool(even_odd_even_nat,N)).
% 115.32/114.13  0 [] hBOOL(hAPP_nat_bool(even_odd_even_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),N)))| -hBOOL(hAPP_nat_bool(even_odd_even_nat,M))| -hBOOL(hAPP_nat_bool(even_odd_even_nat,N)).
% 115.32/114.13  0 [] hBOOL(hAPP_nat_bool(even_odd_even_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),N)))|hBOOL(hAPP_nat_bool(even_odd_even_nat,M))|hBOOL(hAPP_nat_bool(even_odd_even_nat,N)).
% 115.32/114.13  0 [] -hBOOL(hAPP_nat_bool(even_odd_even_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),N)))|hBOOL(hAPP_nat_bool(even_odd_even_nat,M))| -hBOOL(hAPP_nat_bool(even_odd_even_nat,N)).
% 115.38/114.13  0 [] -hBOOL(hAPP_nat_bool(even_odd_even_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),N)))| -hBOOL(hAPP_nat_bool(even_odd_even_nat,M))|hBOOL(hAPP_nat_bool(even_odd_even_nat,N)).
% 115.38/114.13  0 [] -hBOOL(hAPP_nat_bool(even_odd_even_nat,hAPP_nat_nat(suc,X_1)))| -hBOOL(hAPP_nat_bool(even_odd_even_nat,X_1)).
% 115.38/114.13  0 [] hBOOL(hAPP_nat_bool(even_odd_even_nat,hAPP_nat_nat(suc,X_1)))|hBOOL(hAPP_nat_bool(even_odd_even_nat,X_1)).
% 115.38/114.13  0 [] hBOOL(hAPP_nat_bool(even_odd_even_nat,zero_zero_nat)).
% 115.38/114.13  0 [] hBOOL(hAPP_nat_bool(even_odd_even_nat,N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1)).
% 115.38/114.13  0 [] -hBOOL(hAPP_nat_bool(even_odd_even_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,X_1),Y_2)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_2))|hBOOL(hAPP_nat_bool(even_odd_even_nat,X_1))| -hBOOL(hAPP_nat_bool(even_odd_even_nat,Y_2)).
% 115.38/114.13  0 [] -hBOOL(hAPP_nat_bool(even_odd_even_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,X_1),Y_2)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_2))|hBOOL(hAPP_nat_bool(even_odd_even_nat,Y_2))| -hBOOL(hAPP_nat_bool(even_odd_even_nat,X_1)).
% 115.38/114.13  0 [] hBOOL(hAPP_nat_bool(even_odd_even_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,X_1),Y_2)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_2)).
% 115.38/114.13  0 [] hBOOL(hAPP_nat_bool(even_odd_even_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,X_1),Y_2)))| -hBOOL(hAPP_nat_bool(even_odd_even_nat,X_1))| -hBOOL(hAPP_nat_bool(even_odd_even_nat,Y_2)).
% 115.38/114.13  0 [] hBOOL(hAPP_nat_bool(even_odd_even_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,X_1),Y_2)))|hBOOL(hAPP_nat_bool(even_odd_even_nat,X_1))|hBOOL(hAPP_nat_bool(even_odd_even_nat,Y_2)).
% 115.38/114.13  0 [] -hBOOL(hAPP_nat_bool(even_odd_even_nat,X_1))|X_1=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat))),$f253(X_1)).
% 115.38/114.13  0 [] hBOOL(hAPP_nat_bool(even_odd_even_nat,X_1))|X_1!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat))),Y_1).
% 115.38/114.13  0 [] hBOOL(hAPP_nat_bool(even_odd_even_nat,X_1))|X_1=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat))),$f254(X_1))).
% 115.38/114.13  0 [] -hBOOL(hAPP_nat_bool(even_odd_even_nat,X_1))|X_1!=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat))),Y_1)).
% 115.38/114.13  0 [] -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))).
% 115.38/114.13  0 [] 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)))).
% 115.38/114.13  0 [] 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).
% 115.38/114.13  0 [] -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.
% 115.38/114.13  0 [] hBOOL(hAPP_nat_bool(even_odd_even_nat,X_1))|hAPP_nat_nat(div_mod_nat(X_1),hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat)))=hAPP_nat_nat(suc,zero_zero_nat).
% 115.38/114.13  0 [] -hBOOL(hAPP_nat_bool(even_odd_even_nat,X_1))|hAPP_nat_nat(div_mod_nat(X_1),hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat)))!=hAPP_nat_nat(suc,zero_zero_nat).
% 115.38/114.13  0 [] -hBOOL(hAPP_nat_bool(even_odd_even_nat,X_1))|hAPP_nat_nat(div_mod_nat(X_1),hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat)))=zero_zero_nat.
% 115.38/114.13  0 [] hBOOL(hAPP_nat_bool(even_odd_even_nat,X_1))|hAPP_nat_nat(div_mod_nat(X_1),hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat)))!=zero_zero_nat.
% 115.38/114.13  0 [] -hBOOL(hAPP_nat_bool(even_odd_even_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_1),Y_2)))|hBOOL(hAPP_nat_bool(even_odd_even_nat,X_1)).
% 115.38/114.14  0 [] -hBOOL(hAPP_nat_bool(even_odd_even_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_1),Y_2)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Y_2)).
% 115.38/114.14  0 [] hBOOL(hAPP_nat_bool(even_odd_even_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_1),Y_2)))| -hBOOL(hAPP_nat_bool(even_odd_even_nat,X_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Y_2)).
% 115.38/114.14  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))| -hBOOL(hAPP_nat_bool(even_odd_even_nat,N))| -hBOOL(hAPP_nat_bool(even_odd_even_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),one_one_nat))).
% 115.38/114.14  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|hBOOL(hAPP_nat_bool(even_odd_even_nat,N))|hBOOL(hAPP_nat_bool(even_odd_even_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),one_one_nat))).
% 115.38/114.14  0 [] -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.
% 115.38/114.14  0 [] 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.
% 115.38/114.14  0 [] -hBOOL(hAPP_nat_bool(even_odd_even_nat,N))|N=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),$f255(N)).
% 115.38/114.14  0 [] hBOOL(hAPP_nat_bool(even_odd_even_nat,N))|N!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),M_2).
% 115.38/114.14  0 [] -hBOOL(hAPP_nat_bool(even_odd_even_nat,N))|hBOOL(hAPP_nat_bool(even_odd_even_nat,hAPP_nat_nat(div_mod_nat(N),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))).
% 115.38/114.14  0 [] hBOOL(hAPP_nat_bool(even_odd_even_nat,N))| -hBOOL(hAPP_nat_bool(even_odd_even_nat,hAPP_nat_nat(div_mod_nat(N),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))).
% 115.38/114.14  0 [] hBOOL(hAPP_nat_bool(even_odd_even_nat,N))|N=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),$f256(N))).
% 115.38/114.14  0 [] -hBOOL(hAPP_nat_bool(even_odd_even_nat,N))|N!=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),M_2)).
% 115.38/114.14  0 [] -hBOOL(hAPP_nat_bool(even_odd_even_nat,N_1))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_1),one_one_nat)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,N_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))).
% 115.38/114.14  0 [] hAPP_nat_nat(fact_fact_nat,N_1)!=zero_zero_nat.
% 115.38/114.14  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(fact_fact_nat,M_1)),hAPP_nat_nat(fact_fact_nat,N_1))).
% 115.38/114.14  0 [] hAPP_nat_nat(fact_fact_nat,one_one_nat)=one_one_nat.
% 115.38/114.14  0 [] hBOOL(hAPP_nat_bool(even_odd_even_nat,N_1))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_1),one_one_nat)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,N_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))).
% 115.38/114.14  0 [] hAPP_nat_nat(div_mod_nat(N_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))!=hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit1,hAPP_int_int(bit1,pls)))| -hBOOL(hAPP_nat_bool(even_odd_even_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_1),one_one_nat)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))).
% 115.38/114.14  0 [] hAPP_nat_nat(div_mod_nat(N_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))!=one_one_nat|hBOOL(hAPP_nat_bool(even_odd_even_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_1),one_one_nat)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))).
% 115.38/114.14  0 [] hAPP_nat_nat(fact_fact_nat,zero_zero_nat)=hAPP_nat_nat(suc,zero_zero_nat).
% 115.38/114.14  0 [] hAPP_nat_nat(fact_fact_nat,hAPP_nat_nat(suc,zero_zero_nat))=hAPP_nat_nat(suc,zero_zero_nat).
% 115.38/114.14  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),M_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(fact_fact_nat,M_1)),hAPP_nat_nat(fact_fact_nat,N_1))).
% 115.38/114.14  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(fact_fact_nat,N_1))).
% 115.38/114.14  0 [] hAPP_real_real(cos,X_1)!=zero_zero_real| -hBOOL(hAPP_nat_bool(even_odd_even_nat,$f257(X_1)))| -hBOOL(hAPP_nat_bool(even_odd_even_nat,$f258(X_1))).
% 115.38/114.14  0 [] hAPP_real_real(cos,X_1)!=zero_zero_real| -hBOOL(hAPP_nat_bool(even_odd_even_nat,$f257(X_1)))|X_1=hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,$f258(X_1))),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))).
% 115.38/114.14  0 [] hAPP_real_real(cos,X_1)!=zero_zero_real|X_1=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,$f257(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_nat_bool(even_odd_even_nat,$f258(X_1))).
% 115.38/114.14  0 [] hAPP_real_real(cos,X_1)!=zero_zero_real|X_1=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,$f257(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)))))|X_1=hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,$f258(X_1))),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))).
% 115.38/114.14  0 [] hAPP_real_real(cos,X_1)=zero_zero_real|hBOOL(hAPP_nat_bool(even_odd_even_nat,N_2))|X_1!=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N_2)),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))).
% 115.38/114.14  0 [] hAPP_real_real(cos,X_1)=zero_zero_real|hBOOL(hAPP_nat_bool(even_odd_even_nat,X7))|X_1!=hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,X7)),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))).
% 115.38/114.14  0 [] hAPP_nat_nat(fact_fact_nat,hAPP_nat_nat(suc,X))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,X)),hAPP_nat_nat(fact_fact_nat,X)).
% 115.38/114.14  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,one_one_nat),hAPP_nat_nat(fact_fact_nat,N_1))).
% 115.38/114.14  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,zero_zero_nat)),hAPP_nat_nat(fact_fact_nat,N_1))).
% 115.38/114.14  0 [] hAPP_nat_nat(fact_fact_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_1),one_one_nat))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_1),one_one_nat)),hAPP_nat_nat(fact_fact_nat,N_1)).
% 115.38/114.14  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1))|hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(fact_fact_nat,N_1)),hAPP_nat_nat(fact_fact_nat,M_1))=zero_zero_nat.
% 115.38/114.14  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X))|hAPP_real_real(cos,X)!=zero_zero_real| -hBOOL(hAPP_nat_bool(even_odd_even_nat,$f259(X))).
% 115.38/114.14  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X))|hAPP_real_real(cos,X)!=zero_zero_real|X=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,$f259(X))),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))).
% 115.38/114.14  0 [] hBOOL(hAPP_nat_bool(even_odd_even_nat,N_1))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,N_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),$f260(N_1))),one_one_nat).
% 115.38/114.14  0 [] -hBOOL(hAPP_nat_bool(even_odd_even_nat,X_2))|hAPP_nat_real(sin_coeff,X_2)=zero_zero_real.
% 115.38/114.14  0 [] hBOOL(hAPP_nat_bool(even_odd_even_nat,X_2))|hAPP_nat_real(sin_coeff,X_2)=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_2),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_2))).
% 115.38/114.14  0 [] -hBOOL(hAPP_nat_bool(even_odd_even_nat,N_1))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,N_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),$f261(N_1)).
% 115.38/114.14  0 [] -hBOOL(hAPP_nat_bool(even_odd_even_nat,X_2))|hAPP_nat_real(cos_coeff,X_2)=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_2),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_2))).
% 115.38/114.14  0 [] hBOOL(hAPP_nat_bool(even_odd_even_nat,X_2))|hAPP_nat_real(cos_coeff,X_2)=zero_zero_real.
% 115.38/114.14  0 [] hAPP_int_int(inv(P_3),A_2)=hAPP_int_int(div_mod_int(hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_2),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).
% 115.38/114.14  0 [] 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)).
% 115.38/114.14  0 [] -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)).
% 115.38/114.14  0 [] hAPP_real_real(sin,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N_1)))),pi)),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))=hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min)),N_1).
% 115.38/114.14  0 [] -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))))))).
% 115.38/114.14  0 [] hAPP_real_real(sin,zero_zero_real)=zero_zero_real.
% 115.38/114.14  0 [] hAPP_real_real(sin,hAPP_real_real(uminus_uminus_real,X))=hAPP_real_real(uminus_uminus_real,hAPP_real_real(sin,X)).
% 115.38/114.14  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(sin,X)),one_one_real)).
% 115.38/114.14  0 [] hAPP_real_real(sin,pi)=zero_zero_real.
% 115.38/114.14  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(ln,X)),X)).
% 115.38/114.14  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Y_2))|hAPP_real_real(ln,X_1)!=hAPP_real_real(ln,Y_2)|X_1=Y_2.
% 115.38/114.14  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Y_2))|hAPP_real_real(ln,X_1)=hAPP_real_real(ln,Y_2)|X_1!=Y_2.
% 115.38/114.14  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Y_2))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(ln,X_1)),hAPP_real_real(ln,Y_2)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_2)).
% 115.38/114.14  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Y_2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(ln,X_1)),hAPP_real_real(ln,Y_2)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_2)).
% 115.38/114.14  0 [] hAPP_real_real(ln,one_one_real)=zero_zero_real.
% 115.38/114.14  0 [] hAPP_real_real(sgn_sgn_real,X)=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,X),hAPP_real_real(abs_abs_real,X)).
% 115.38/114.14  0 [] -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.
% 115.38/114.14  0 [] -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))).
% 115.38/114.14  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X),pi))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(sin,X))).
% 115.38/114.14  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(number267125858f_real,min)),hAPP_real_real(sin,X))).
% 115.38/114.14  0 [] hAPP_real_real(cos,X)!=one_one_real|hAPP_real_real(sin,X)=zero_zero_real.
% 115.38/114.14  0 [] 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)).
% 115.38/114.14  0 [] 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))).
% 115.38/114.14  0 [] 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))).
% 115.38/114.14  0 [] 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))).
% 115.38/114.14  0 [] 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)).
% 115.38/114.14  0 [] 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)).
% 115.38/114.14  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Y_2))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(ln,X_1)),hAPP_real_real(ln,Y_2)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_2)).
% 115.38/114.14  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Y_2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(ln,X_1)),hAPP_real_real(ln,Y_2)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_2)).
% 115.38/114.14  0 [] hAPP_real_real(tan,X)=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(sin,X)),hAPP_real_real(cos,X)).
% 115.38/114.14  0 [] -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))).
% 115.38/114.14  0 [] -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))).
% 115.38/114.14  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(ln,X_1)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),X_1)).
% 115.38/114.14  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(ln,X_1)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),X_1)).
% 115.38/114.14  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))|hAPP_real_real(ln,X_1)!=zero_zero_real|X_1=one_one_real.
% 115.38/114.14  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))|hAPP_real_real(ln,X_1)=zero_zero_real|X_1!=one_one_real.
% 115.38/114.14  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(ln,X_1)),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),one_one_real)).
% 115.38/114.14  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(ln,X_1)),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),one_one_real)).
% 115.38/114.14  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X),one_one_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(ln,X)),zero_zero_real)).
% 115.38/114.14  0 [] -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)).
% 115.38/114.14  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))|hAPP_real_real(sgn_sgn_real,X)=one_one_real.
% 115.38/114.14  0 [] -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))).
% 115.38/114.14  0 [] hAPP_real_real(sin,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,pi),hAPP_nat_real(real_nat,N_1)))=zero_zero_real.
% 115.38/114.14  0 [] hAPP_real_real(sin,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N_1)),pi))=zero_zero_real.
% 115.38/114.14  0 [] 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.
% 115.38/114.14  0 [] hAPP_real_real(sin,X)!=zero_zero_real|hAPP_real_real(abs_abs_real,hAPP_real_real(cos,X))=one_one_real.
% 115.38/114.14  0 [] 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))).
% 115.38/114.14  0 [] 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))).
% 115.38/114.14  0 [] 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))).
% 115.38/114.14  0 [] -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)).
% 115.38/114.14  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(ln,X_1)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),X_1)).
% 115.38/114.14  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(ln,X_1)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),X_1)).
% 115.38/114.14  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),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)).
% 115.38/114.14  0 [] -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)).
% 115.38/114.14  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),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)).
% 115.38/114.14  0 [] -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)).
% 115.38/114.14  0 [] -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))).
% 115.38/114.14  0 [] -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))))).
% 115.38/114.14  0 [] -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).
% 115.38/114.14  0 [] A_2!=zero_zero_real|hAPP_real_real(sgn_sgn_real,A_2)=zero_zero_real.
% 115.38/114.14  0 [] A_2=zero_zero_real| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_2))|hAPP_real_real(sgn_sgn_real,A_2)=one_one_real.
% 115.38/114.14  0 [] A_2=zero_zero_real|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_2))|hAPP_real_real(sgn_sgn_real,A_2)=hAPP_real_real(uminus_uminus_real,one_one_real).
% 115.38/114.14  0 [] X!=zero_zero_real|hAPP_real_real(sgn_sgn_real,X)=zero_zero_real.
% 115.38/114.14  0 [] 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.
% 115.38/114.14  0 [] 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)=hAPP_real_real(uminus_uminus_real,one_one_real).
% 115.38/114.14  0 [] -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.
% 115.38/114.14  0 [] -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_1))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N_1)),hAPP_real_real(ln,X)).
% 115.38/114.14  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,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))).
% 115.38/114.14  0 [] 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)).
% 115.38/114.14  0 [] 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))).
% 115.38/114.14  0 [] 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.
% 115.38/114.14  0 [] 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).
% 115.38/114.14  0 [] 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)))).
% 115.38/114.14  0 [] 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.
% 115.38/114.14  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,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))).
% 115.38/114.14  0 [] -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)))).
% 115.38/114.14  0 [] hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,R_3),hAPP_real_real(cos,A_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,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,R_3),hAPP_real_real(sin,A_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,R_3),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))).
% 115.38/114.14  0 [] hAPP_real_real(sin,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),hAPP_nat_real(real_nat,N_1))),pi))=zero_zero_real.
% 115.38/114.14  0 [] 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.
% 115.38/114.14  0 [] 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.
% 115.38/114.14  0 [] 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))))).
% 115.38/114.14  0 [] 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))))).
% 115.38/114.14  0 [] -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))).
% 115.38/114.14  0 [] 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)).
% 115.38/114.14  0 [] 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)).
% 115.38/114.14  0 [] -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)))))).
% 115.38/114.14  0 [] -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)).
% 115.38/114.14  0 [] 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))))).
% 115.38/114.14  0 [] 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).
% 115.38/114.14  0 [] 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)))))).
% 115.38/114.14  0 [] -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.
% 115.38/114.14  0 [] 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.
% 115.38/114.14  0 [] 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.
% 115.38/114.14  0 [] -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)))).
% 115.38/114.14  0 [] -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))))))).
% 115.38/114.14  0 [] 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_1))),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_1)),pi)),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))).
% 115.38/114.14  0 [] hAPP_real_real(sin,X_1)!=zero_zero_real|hBOOL(hAPP_nat_bool(even_odd_even_nat,$f262(X_1)))|hBOOL(hAPP_nat_bool(even_odd_even_nat,$f263(X_1))).
% 115.38/114.14  0 [] hAPP_real_real(sin,X_1)!=zero_zero_real|hBOOL(hAPP_nat_bool(even_odd_even_nat,$f262(X_1)))|X_1=hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,$f263(X_1))),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))).
% 115.38/114.14  0 [] hAPP_real_real(sin,X_1)!=zero_zero_real|X_1=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,$f262(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_nat_bool(even_odd_even_nat,$f263(X_1))).
% 115.38/114.14  0 [] hAPP_real_real(sin,X_1)!=zero_zero_real|X_1=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,$f262(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)))))|X_1=hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,$f263(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)))))).
% 115.38/114.14  0 [] hAPP_real_real(sin,X_1)=zero_zero_real| -hBOOL(hAPP_nat_bool(even_odd_even_nat,N_2))|X_1!=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N_2)),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))).
% 115.38/114.14  0 [] hAPP_real_real(sin,X_1)=zero_zero_real| -hBOOL(hAPP_nat_bool(even_odd_even_nat,X8))|X_1!=hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,X8)),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))).
% 115.38/114.14  0 [] -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))).
% 115.38/114.14  0 [] -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)),pi)).
% 115.38/114.14  0 [] -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.
% 115.38/114.14  0 [] -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))).
% 115.38/114.14  0 [] -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)))))).
% 115.38/114.14  0 [] -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.
% 115.38/114.14  0 [] 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_1))),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_1)),pi)),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))).
% 115.39/114.15  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X))|hAPP_real_real(sin,X)!=zero_zero_real|hBOOL(hAPP_nat_bool(even_odd_even_nat,$f264(X))).
% 115.39/114.15  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X))|hAPP_real_real(sin,X)!=zero_zero_real|X=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,$f264(X))),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))).
% 115.39/114.15  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(number267125858f_real,min)),Y))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y),one_one_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),$f265(Y))).
% 115.39/114.15  0 [] -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,$f265(Y)),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))).
% 115.39/114.15  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(number267125858f_real,min)),Y))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y),one_one_real))|hAPP_real_real(sin,$f265(Y))=Y.
% 115.39/114.15  0 [] -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)))))),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=$f265(Y).
% 115.39/114.15  0 [] -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_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_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,one_one_real),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),N_1)))).
% 115.39/114.15  0 [] -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)))))).
% 115.39/114.15  0 [] -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)))))).
% 115.39/114.15  0 [] hAPP_real_real(inverse_inverse_real,zero_zero_real)=zero_zero_real.
% 115.39/114.15  0 [] hAPP_real_real(sqrt,hAPP_real_real(uminus_uminus_real,X))=hAPP_real_real(uminus_uminus_real,hAPP_real_real(sqrt,X)).
% 115.39/114.15  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(sqrt,X_1)),hAPP_real_real(sqrt,Y_2)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_2)).
% 115.39/114.15  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(sqrt,X_1)),hAPP_real_real(sqrt,Y_2)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_2)).
% 115.39/114.15  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),Y))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(sqrt,X)),hAPP_real_real(sqrt,Y))).
% 115.39/114.15  0 [] hAPP_real_real(sqrt,X_1)!=zero_zero_real|X_1=zero_zero_real.
% 115.39/114.15  0 [] hAPP_real_real(sqrt,X_1)=zero_zero_real|X_1!=zero_zero_real.
% 115.39/114.15  0 [] hAPP_real_real(sqrt,zero_zero_real)=zero_zero_real.
% 115.39/114.15  0 [] hAPP_real_real(sqrt,hAPP_real_real(inverse_inverse_real,X))=hAPP_real_real(inverse_inverse_real,hAPP_real_real(sqrt,X)).
% 115.39/114.15  0 [] hAPP_real_real(sqrt,X_1)!=hAPP_real_real(sqrt,Y_2)|X_1=Y_2.
% 115.39/114.15  0 [] hAPP_real_real(sqrt,X_1)=hAPP_real_real(sqrt,Y_2)|X_1!=Y_2.
% 115.39/114.15  0 [] 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)).
% 115.39/114.15  0 [] hAPP_real_real(sqrt,one_one_real)=one_one_real.
% 115.39/114.15  0 [] hAPP_real_real(sqrt,X_1)!=one_one_real|X_1=one_one_real.
% 115.39/114.15  0 [] hAPP_real_real(sqrt,X_1)=one_one_real|X_1!=one_one_real.
% 115.39/114.15  0 [] 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).
% 115.39/114.15  0 [] 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)).
% 115.39/114.15  0 [] -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))).
% 115.39/114.15  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(sqrt,X_1)),hAPP_real_real(sqrt,Y_2)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_2)).
% 115.39/114.15  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(sqrt,X_1)),hAPP_real_real(sqrt,Y_2)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_2)).
% 115.39/114.15  0 [] -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)).
% 115.39/114.15  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(sqrt,Y_2)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Y_2)).
% 115.39/114.15  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(sqrt,Y_2)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Y_2)).
% 115.39/114.15  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(sqrt,X_1)),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),zero_zero_real)).
% 115.39/114.15  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(sqrt,X_1)),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),zero_zero_real)).
% 115.39/114.15  0 [] -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))).
% 115.39/114.15  0 [] -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.
% 115.39/114.15  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(sqrt,Y_2)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Y_2)).
% 115.39/114.15  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(sqrt,Y_2)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Y_2)).
% 115.39/114.15  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(sqrt,X_1)),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),zero_zero_real)).
% 115.39/114.15  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(sqrt,X_1)),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),zero_zero_real)).
% 115.39/114.15  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))|hAPP_real_real(sqrt,X)!=zero_zero_real.
% 115.39/114.15  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(sqrt,X))).
% 115.39/114.15  0 [] -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))).
% 115.39/114.15  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(sqrt,X_1)),one_one_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),one_one_real)).
% 115.39/114.15  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(sqrt,X_1)),one_one_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),one_one_real)).
% 115.39/114.15  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),hAPP_real_real(sqrt,Y_2)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),Y_2)).
% 115.39/114.15  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),hAPP_real_real(sqrt,Y_2)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),Y_2)).
% 115.39/114.15  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),hAPP_real_real(sqrt,Y_2)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),Y_2)).
% 115.39/114.15  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),hAPP_real_real(sqrt,Y_2)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),Y_2)).
% 115.39/114.15  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(sqrt,X_1)),one_one_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),one_one_real)).
% 115.39/114.15  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(sqrt,X_1)),one_one_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),one_one_real)).
% 115.39/114.15  0 [] hAPP_real_real(sqrt,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X),X))=hAPP_real_real(abs_abs_real,X).
% 115.39/114.15  0 [] hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,R),S_5)=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,R),hAPP_real_real(inverse_inverse_real,S_5)).
% 115.39/114.15  0 [] 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)).
% 115.39/114.15  0 [] 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))))).
% 115.39/114.15  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X1_2))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X1_2),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_2)))).
% 115.39/114.15  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X1_2))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X1_2),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_2)),U_1))).
% 115.39/114.15  0 [] X=zero_zero_real|hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(inverse_inverse_real,X)),X)=one_one_real.
% 115.39/114.15  0 [] -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).
% 115.39/114.15  0 [] 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))))).
% 115.39/114.15  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(inverse_inverse_real,hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N_1))))).
% 115.39/114.15  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(inverse_inverse_real,hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N_1))))).
% 115.39/114.15  0 [] -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)).
% 115.39/114.15  0 [] I!=zero_zero_int|hAPP_int_int(sgn_sgn_int,I)=zero_zero_int.
% 115.39/114.15  0 [] 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.
% 115.39/114.15  0 [] 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)=hAPP_int_int(uminus_uminus_int,one_one_int).
% 115.39/114.15  0 [] 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)))))).
% 115.39/114.15  0 [] 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)))))).
% 115.39/114.15  0 [] 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)))))).
% 115.39/114.15  0 [] 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).
% 115.39/114.15  0 [] 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)))).
% 115.39/114.15  0 [] hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(sqrt,X_1)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))!=X_1|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_1)).
% 115.39/114.15  0 [] hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(sqrt,X_1)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=X_1| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_1)).
% 115.39/114.15  0 [] -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.
% 115.39/114.15  0 [] 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.
% 115.39/114.15  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),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)))))).
% 115.39/114.15  0 [] -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)).
% 115.39/114.15  0 [] 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_2),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_1),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_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,B_1),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))))))))).
% 115.39/114.15  0 [] 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)))))))).
% 115.39/114.15  0 [] 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)))))))).
% 115.39/114.15  0 [] 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.
% 115.39/114.15  0 [] 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.
% 115.39/114.15  0 [] 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),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),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))).
% 115.39/114.15  0 [] 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)))).
% 115.39/114.15  0 [] 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)))).
% 115.39/114.15  0 [] 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)))).
% 115.39/114.15  0 [] 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)))).
% 115.39/114.15  0 [] 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)))))))).
% 115.39/114.15  0 [] 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)))))))).
% 115.39/114.15  0 [] 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)))))))).
% 115.39/114.15  0 [] 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))))).
% 115.39/114.15  0 [] 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),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))))).
% 115.39/114.15  0 [] hAPP_real_real(cos,hAPP_real_real(arccos,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,X_4),hAPP_real_real(sqrt,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_4),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,Y_4),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))))=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,X_4),hAPP_real_real(sqrt,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_4),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,Y_4),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))).
% 115.39/114.15  0 [] 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)).
% 115.39/114.15  0 [] -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)).
% 115.39/114.15  0 [] 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)))).
% 115.39/114.15  0 [] -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)).
% 115.39/114.15  0 [] 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)))))))))).
% 115.39/114.15  0 [] -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)))))).
% 115.39/114.15  0 [] hAPP_real_real(sin,hAPP_real_real(arccos,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,X_4),hAPP_real_real(sqrt,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_4),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,Y_4),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))))=hAPP_real_real(sqrt,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,one_one_real),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,X_4),hAPP_real_real(sqrt,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_4),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,Y_4),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))).
% 115.39/114.15  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(inverse_inverse_real,hAPP_nat_real(real_nat,hAPP_nat_nat(suc,$f266(X))))),X)).
% 115.39/114.15  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(number267125858f_real,min)),X_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),one_one_real))|hBOOL(hAPP_real_bool(deriv_real(arccos,X_1),hAPP_real_real(inverse_inverse_real,hAPP_real_real(uminus_uminus_real,hAPP_real_real(sqrt,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,one_one_real),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))))).
% 115.39/114.15  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(number267125858f_real,min)),X_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),one_one_real))|hBOOL(hAPP_real_bool(deriv_real(arcsin,X_1),hAPP_real_real(inverse_inverse_real,hAPP_real_real(sqrt,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,one_one_real),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))))).
% 115.39/114.15  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba))|hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_P731461727l_real(produc556554744l_real,hAPP_n332733730l_real(bolzano_bisect(P_1,Aa,Ba),N))),hAPP_P731461727l_real(produc1935615926l_real,hAPP_n332733730l_real(bolzano_bisect(P_1,Aa,Ba),N)))=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Ba),Aa)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N)).
% 115.39/114.15  0 [] hAPP_n332733730l_real(bolzano_bisect(P_1,Aa,Ba),zero_zero_nat)=hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,Aa),Ba).
% 115.39/114.15  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_P731461727l_real(produc1935615926l_real,hAPP_n332733730l_real(bolzano_bisect(P_1,Aa,Ba),N_2))),hAPP_P731461727l_real(produc556554744l_real,hAPP_n332733730l_real(bolzano_bisect(P_1,Aa,Ba),N_2)))).
% 115.39/114.15  0 [] hBOOL(hAPP_real_bool(deriv_real(sin,X_1),hAPP_real_real(cos,X_1))).
% 115.39/114.15  0 [] hBOOL(hAPP_real_bool(deriv_real(cos,X_1),hAPP_real_real(uminus_uminus_real,hAPP_real_real(sin,X_1)))).
% 115.39/114.15  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_P731461727l_real(produc1935615926l_real,hAPP_n332733730l_real(bolzano_bisect(P_1,Aa,Ba),N_2))),hAPP_P731461727l_real(produc1935615926l_real,hAPP_n332733730l_real(bolzano_bisect(P_1,Aa,Ba),hAPP_nat_nat(suc,N_2))))).
% 115.39/114.15  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_P731461727l_real(produc556554744l_real,hAPP_n332733730l_real(bolzano_bisect(P_1,Aa,Ba),hAPP_nat_nat(suc,N_2)))),hAPP_P731461727l_real(produc556554744l_real,hAPP_n332733730l_real(bolzano_bisect(P_1,Aa,Ba),N_2)))).
% 115.39/114.15  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))|hBOOL(hAPP_real_bool(deriv_real(ln,X_1),hAPP_real_real(inverse_inverse_real,X_1))).
% 115.39/114.15  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))|hBOOL(hAPP_real_bool(deriv_real(ln,X_1),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,one_one_real),X_1))).
% 115.39/114.15  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))|hBOOL(hAPP_real_bool(deriv_real(sqrt,X_1),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(inverse_inverse_real,hAPP_real_real(sqrt,X_1))),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))).
% 115.39/114.15  0 [] hAPP_real_real(cos,X_1)=zero_zero_real|hBOOL(hAPP_real_bool(deriv_real(tan,X_1),hAPP_real_real(inverse_inverse_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(cos,X_1)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))).
% 115.39/114.15  0 [] hBOOL(hAPP_real_bool(deriv_real(arctan,X_1),hAPP_real_real(inverse_inverse_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,one_one_real),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))).
% 115.39/114.15  0 [] X_1=zero_zero_real|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),zero_zero_real))|hBOOL(hAPP_real_bool(deriv_real(sqrt,X_1),D_1)).
% 115.39/114.15  0 [] X_1=zero_zero_real|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))|D_1!=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(uminus_uminus_real,hAPP_real_real(inverse_inverse_real,hAPP_real_real(sqrt,X_1)))),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))|hBOOL(hAPP_real_bool(deriv_real(sqrt,X_1),D_1)).
% 115.39/114.15  0 [] X_1=zero_zero_real|D_1!=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(inverse_inverse_real,hAPP_real_real(sqrt,X_1))),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),zero_zero_real))|hBOOL(hAPP_real_bool(deriv_real(sqrt,X_1),D_1)).
% 115.39/114.15  0 [] X_1=zero_zero_real|D_1!=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(inverse_inverse_real,hAPP_real_real(sqrt,X_1))),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))|D_1!=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(uminus_uminus_real,hAPP_real_real(inverse_inverse_real,hAPP_real_real(sqrt,X_1)))),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))|hBOOL(hAPP_real_bool(deriv_real(sqrt,X_1),D_1)).
% 115.39/114.15  0 [] Aa=Ba| -hBOOL(hAPP_real_bool(deriv_real(V,$f267(V,K_1,Aa,Ba)),K_1))|hAPP_real_real(V,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Aa),Ba)),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(V,Aa)),hAPP_real_real(V,Ba))),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))).
% 115.39/114.15  0 [] -hBOOL(hAPP_real_bool(deriv_real(F,X_1),L))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X_1),$f268(D,F,X_1,L)))),D))|L=zero_zero_real.
% 115.39/114.15  0 [] -hBOOL(hAPP_real_bool(deriv_real(F,X_1),L))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(F,$f268(D,F,X_1,L))),hAPP_real_real(F,X_1)))|L=zero_zero_real.
% 115.39/114.15  0 [] -hBOOL(hAPP_real_bool(deriv_real(F,X_1),L))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X_1),$f269(D,F,X_1,L)))),D))|L=zero_zero_real.
% 115.39/114.15  0 [] -hBOOL(hAPP_real_bool(deriv_real(F,X_1),L))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(F,X_1)),hAPP_real_real(F,$f269(D,F,X_1,L))))|L=zero_zero_real.
% 115.39/114.15  0 [] -hBOOL(hAPP_real_bool(deriv_real(F,X_1),L))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X_1),$f270(D,F,X_1,L)))),D))|L=zero_zero_real.
% 115.39/114.15  0 [] -hBOOL(hAPP_real_bool(deriv_real(F,X_1),L))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D))|hAPP_real_real(F,X_1)!=hAPP_real_real(F,$f270(D,F,X_1,L))|L=zero_zero_real.
% 115.39/114.15  0 [] hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,$f273(N,Aa,Ba,P_1)),$f272(N,Aa,Ba,P_1))))|hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,Aa),Ba)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba))| -hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,hAPP_P731461727l_real(produc1935615926l_real,hAPP_n332733730l_real(bolzano_bisect(P_1,Aa,Ba),N))),hAPP_P731461727l_real(produc556554744l_real,hAPP_n332733730l_real(bolzano_bisect(P_1,Aa,Ba),N))))).
% 115.39/114.15  0 [] hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,$f272(N,Aa,Ba,P_1)),$f271(N,Aa,Ba,P_1))))|hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,Aa),Ba)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba))| -hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,hAPP_P731461727l_real(produc1935615926l_real,hAPP_n332733730l_real(bolzano_bisect(P_1,Aa,Ba),N))),hAPP_P731461727l_real(produc556554744l_real,hAPP_n332733730l_real(bolzano_bisect(P_1,Aa,Ba),N))))).
% 115.39/114.15  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f273(N,Aa,Ba,P_1)),$f272(N,Aa,Ba,P_1)))|hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,Aa),Ba)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba))| -hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,hAPP_P731461727l_real(produc1935615926l_real,hAPP_n332733730l_real(bolzano_bisect(P_1,Aa,Ba),N))),hAPP_P731461727l_real(produc556554744l_real,hAPP_n332733730l_real(bolzano_bisect(P_1,Aa,Ba),N))))).
% 115.39/114.15  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f272(N,Aa,Ba,P_1)),$f271(N,Aa,Ba,P_1)))|hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,Aa),Ba)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba))| -hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,hAPP_P731461727l_real(produc1935615926l_real,hAPP_n332733730l_real(bolzano_bisect(P_1,Aa,Ba),N))),hAPP_P731461727l_real(produc556554744l_real,hAPP_n332733730l_real(bolzano_bisect(P_1,Aa,Ba),N))))).
% 115.39/114.15  0 [] -hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,$f273(N,Aa,Ba,P_1)),$f271(N,Aa,Ba,P_1))))|hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,Aa),Ba)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba))| -hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,hAPP_P731461727l_real(produc1935615926l_real,hAPP_n332733730l_real(bolzano_bisect(P_1,Aa,Ba),N))),hAPP_P731461727l_real(produc556554744l_real,hAPP_n332733730l_real(bolzano_bisect(P_1,Aa,Ba),N))))).
% 115.39/114.15  0 [] hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,$f276(Aa,Ba,P_1)),$f275(Aa,Ba,P_1))))|hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,Aa),Ba)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba))| -hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,hAPP_P731461727l_real(produc1935615926l_real,hAPP_n332733730l_real(bolzano_bisect(P_1,Aa,Ba),N_2))),hAPP_P731461727l_real(produc556554744l_real,hAPP_n332733730l_real(bolzano_bisect(P_1,Aa,Ba),N_2))))).
% 115.39/114.15  0 [] hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,$f275(Aa,Ba,P_1)),$f274(Aa,Ba,P_1))))|hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,Aa),Ba)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba))| -hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,hAPP_P731461727l_real(produc1935615926l_real,hAPP_n332733730l_real(bolzano_bisect(P_1,Aa,Ba),N_2))),hAPP_P731461727l_real(produc556554744l_real,hAPP_n332733730l_real(bolzano_bisect(P_1,Aa,Ba),N_2))))).
% 115.39/114.15  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f276(Aa,Ba,P_1)),$f275(Aa,Ba,P_1)))|hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,Aa),Ba)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba))| -hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,hAPP_P731461727l_real(produc1935615926l_real,hAPP_n332733730l_real(bolzano_bisect(P_1,Aa,Ba),N_2))),hAPP_P731461727l_real(produc556554744l_real,hAPP_n332733730l_real(bolzano_bisect(P_1,Aa,Ba),N_2))))).
% 115.39/114.16  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f275(Aa,Ba,P_1)),$f274(Aa,Ba,P_1)))|hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,Aa),Ba)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba))| -hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,hAPP_P731461727l_real(produc1935615926l_real,hAPP_n332733730l_real(bolzano_bisect(P_1,Aa,Ba),N_2))),hAPP_P731461727l_real(produc556554744l_real,hAPP_n332733730l_real(bolzano_bisect(P_1,Aa,Ba),N_2))))).
% 115.39/114.16  0 [] -hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,$f276(Aa,Ba,P_1)),$f274(Aa,Ba,P_1))))|hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,Aa),Ba)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba))| -hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,hAPP_P731461727l_real(produc1935615926l_real,hAPP_n332733730l_real(bolzano_bisect(P_1,Aa,Ba),N_2))),hAPP_P731461727l_real(produc556554744l_real,hAPP_n332733730l_real(bolzano_bisect(P_1,Aa,Ba),N_2))))).
% 115.39/114.16  0 [] -hBOOL(hAPP_real_bool(deriv_real(F,X_1),L))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),L))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),$f277(F,X_1,L))).
% 115.39/114.16  0 [] -hBOOL(hAPP_real_bool(deriv_real(F,X_1),L))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),L))| -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),$f277(F,X_1,L)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(F,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X_1),H_1))),hAPP_real_real(F,X_1))).
% 115.39/114.16  0 [] -hBOOL(hAPP_real_bool(deriv_real(F,X_1),L))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,L),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),$f278(F,X_1,L))).
% 115.39/114.16  0 [] -hBOOL(hAPP_real_bool(deriv_real(F,X_1),L))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,L),zero_zero_real))| -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),$f278(F,X_1,L)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(F,X_1)),hAPP_real_real(F,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X_1),H_1)))).
% 115.39/114.16  0 [] -hBOOL(hAPP_real_bool(deriv_real(F,X_1),L))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),L))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),$f279(F,X_1,L))).
% 115.39/114.16  0 [] -hBOOL(hAPP_real_bool(deriv_real(F,X_1),L))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),L))| -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),$f279(F,X_1,L)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(F,X_1)),hAPP_real_real(F,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_1),H_1)))).
% 115.39/114.16  0 [] -hBOOL(hAPP_real_bool(deriv_real(F,X_1),L))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,L),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),$f280(F,X_1,L))).
% 115.39/114.16  0 [] -hBOOL(hAPP_real_bool(deriv_real(F,X_1),L))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,L),zero_zero_real))| -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),$f280(F,X_1,L)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(F,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_1),H_1))),hAPP_real_real(F,X_1))).
% 115.39/114.16  0 [] Aa=Ba| -hBOOL(hAPP_real_bool(deriv_real(F,$f281(F,K_1,Aa,Ba)),K_1))|hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(F,Ba)),hAPP_real_real(F,Aa))),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Ba),Aa))=K_1.
% 115.39/114.16  0 [] Aa=Ba| -hBOOL(hAPP_real_bool(deriv_real(F,$f282(F,K_1,Aa,Ba)),K_1))|hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(F,Ba)),hAPP_real_real(F,Aa))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Ba),Aa)),K_1).
% 115.39/114.16  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|X_1=zero_zero_real|hBOOL(hAPP_nat_bool(even_odd_even_nat,N))|D_1!=hAPP_real_real(inverse_inverse_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(hAPP_n546711566l_real(root,N),X_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),hAPP_nat_nat(suc,zero_zero_nat)))))|hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(root,N),X_1),D_1)).
% 115.39/114.16  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|X_1=zero_zero_real|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),zero_zero_real))| -hBOOL(hAPP_nat_bool(even_odd_even_nat,N))|hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(root,N),X_1),D_1)).
% 115.39/114.16  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|X_1=zero_zero_real|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))|D_1!=hAPP_real_real(uminus_uminus_real,hAPP_real_real(inverse_inverse_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(hAPP_n546711566l_real(root,N),X_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),hAPP_nat_nat(suc,zero_zero_nat))))))| -hBOOL(hAPP_nat_bool(even_odd_even_nat,N))|hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(root,N),X_1),D_1)).
% 115.39/114.16  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|X_1=zero_zero_real|D_1!=hAPP_real_real(inverse_inverse_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(hAPP_n546711566l_real(root,N),X_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),hAPP_nat_nat(suc,zero_zero_nat)))))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),zero_zero_real))|hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(root,N),X_1),D_1)).
% 115.39/114.16  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|X_1=zero_zero_real|D_1!=hAPP_real_real(inverse_inverse_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(hAPP_n546711566l_real(root,N),X_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),hAPP_nat_nat(suc,zero_zero_nat)))))|D_1!=hAPP_real_real(uminus_uminus_real,hAPP_real_real(inverse_inverse_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(hAPP_n546711566l_real(root,N),X_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),hAPP_nat_nat(suc,zero_zero_nat))))))|hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(root,N),X_1),D_1)).
% 115.39/114.16  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))| -hBOOL(hAPP_nat_bool(even_odd_even_nat,N))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),zero_zero_real))|hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(root,N),X_1),hAPP_real_real(inverse_inverse_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(uminus_uminus_real,hAPP_nat_real(real_nat,N))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(hAPP_n546711566l_real(root,N),X_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),hAPP_nat_nat(suc,zero_zero_nat))))))).
% 115.39/114.16  0 [] -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)).
% 115.39/114.16  0 [] -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_1))|hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(root,N),X_1),hAPP_real_real(inverse_inverse_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(hAPP_n546711566l_real(root,N),X_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),hAPP_nat_nat(suc,zero_zero_nat))))))).
% 115.39/114.16  0 [] hAPP_real_real(hAPP_n546711566l_real(root,N_1),zero_zero_real)=zero_zero_real.
% 115.39/114.16  0 [] hAPP_real_real(hAPP_n546711566l_real(root,hAPP_nat_nat(suc,zero_zero_nat)),X)=X.
% 115.39/114.16  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),M_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))|hAPP_real_real(hAPP_n546711566l_real(root,M_1),hAPP_real_real(hAPP_n546711566l_real(root,N_1),X))=hAPP_real_real(hAPP_n546711566l_real(root,N_1),hAPP_real_real(hAPP_n546711566l_real(root,M_1),X)).
% 115.39/114.16  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|hAPP_real_real(hAPP_n546711566l_real(root,N),X_1)!=hAPP_real_real(hAPP_n546711566l_real(root,N),Y_2)|X_1=Y_2.
% 115.39/114.16  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|hAPP_real_real(hAPP_n546711566l_real(root,N),X_1)=hAPP_real_real(hAPP_n546711566l_real(root,N),Y_2)|X_1!=Y_2.
% 115.39/114.16  0 [] hBOOL(hAPP_nat_bool(even_odd_even_nat,N_1))|hAPP_real_real(hAPP_n546711566l_real(root,N_1),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X),N_1))=X.
% 115.39/114.16  0 [] hBOOL(hAPP_nat_bool(even_odd_even_nat,N_1))|hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(hAPP_n546711566l_real(root,N_1),X)),N_1)=X.
% 115.39/114.16  0 [] hBOOL(hAPP_nat_bool(even_odd_even_nat,N_1))|hAPP_nat_real(hAPP_r474017924t_real(power_power_real,Y),N_1)!=X|hAPP_real_real(hAPP_n546711566l_real(root,N_1),X)=Y.
% 115.39/114.16  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_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_1),X)),hAPP_real_real(hAPP_n546711566l_real(root,N_1),Y))).
% 115.39/114.16  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_n546711566l_real(root,N),X_1)),hAPP_real_real(hAPP_n546711566l_real(root,N),Y_2)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_2)).
% 115.39/114.16  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_n546711566l_real(root,N),X_1)),hAPP_real_real(hAPP_n546711566l_real(root,N),Y_2)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_2)).
% 115.39/114.16  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|hAPP_real_real(hAPP_n546711566l_real(root,N),X_1)!=zero_zero_real|X_1=zero_zero_real.
% 115.39/114.16  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|hAPP_real_real(hAPP_n546711566l_real(root,N),X_1)=zero_zero_real|X_1!=zero_zero_real.
% 115.39/114.16  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X),Y))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_n546711566l_real(root,N_1),X)),hAPP_real_real(hAPP_n546711566l_real(root,N_1),Y))).
% 115.39/114.16  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_n546711566l_real(root,N),X_1)),hAPP_real_real(hAPP_n546711566l_real(root,N),Y_2)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_2)).
% 115.39/114.16  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_n546711566l_real(root,N),X_1)),hAPP_real_real(hAPP_n546711566l_real(root,N),Y_2)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_2)).
% 115.39/114.16  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))|hAPP_real_real(hAPP_n546711566l_real(root,N_1),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X),Y))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_n546711566l_real(root,N_1),X)),hAPP_real_real(hAPP_n546711566l_real(root,N_1),Y)).
% 115.39/114.16  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),M_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))|hAPP_real_real(hAPP_n546711566l_real(root,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),N_1)),X)=hAPP_real_real(hAPP_n546711566l_real(root,M_1),hAPP_real_real(hAPP_n546711566l_real(root,N_1),X)).
% 115.39/114.16  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))|hAPP_real_real(hAPP_n546711566l_real(root,N_1),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X),K_2))=hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(hAPP_n546711566l_real(root,N_1),X)),K_2).
% 115.39/114.16  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|hAPP_real_real(hAPP_n546711566l_real(root,N),X_1)!=one_one_real|X_1=one_one_real.
% 115.39/114.16  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|hAPP_real_real(hAPP_n546711566l_real(root,N),X_1)=one_one_real|X_1!=one_one_real.
% 115.39/114.16  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))|hAPP_real_real(hAPP_n546711566l_real(root,N_1),one_one_real)=one_one_real.
% 115.39/114.16  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))|hAPP_real_real(hAPP_n546711566l_real(root,N_1),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,X),Y))=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_n546711566l_real(root,N_1),X)),hAPP_real_real(hAPP_n546711566l_real(root,N_1),Y)).
% 115.39/114.16  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))|hAPP_real_real(hAPP_n546711566l_real(root,N_1),hAPP_real_real(uminus_uminus_real,X))=hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_n546711566l_real(root,N_1),X)).
% 115.39/114.16  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))|hAPP_real_real(hAPP_n546711566l_real(root,N_1),hAPP_real_real(abs_abs_real,X))=hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_n546711566l_real(root,N_1),X)).
% 115.39/114.16  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))|hAPP_real_real(hAPP_n546711566l_real(root,N_1),hAPP_real_real(inverse_inverse_real,X))=hAPP_real_real(inverse_inverse_real,hAPP_real_real(hAPP_n546711566l_real(root,N_1),X)).
% 115.39/114.16  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_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_1),X))).
% 115.39/114.16  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_n546711566l_real(root,N),X_1)),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),zero_zero_real)).
% 115.39/114.16  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_n546711566l_real(root,N),X_1)),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),zero_zero_real)).
% 115.39/114.16  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(hAPP_n546711566l_real(root,N),Y_2)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Y_2)).
% 115.39/114.16  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(hAPP_n546711566l_real(root,N),Y_2)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Y_2)).
% 115.39/114.16  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(hAPP_n546711566l_real(root,N),Y_2)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Y_2)).
% 115.39/114.16  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(hAPP_n546711566l_real(root,N),Y_2)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Y_2)).
% 115.39/114.16  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_n546711566l_real(root,N),X_1)),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),zero_zero_real)).
% 115.39/114.16  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_n546711566l_real(root,N),X_1)),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),zero_zero_real)).
% 115.39/114.16  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(hAPP_n546711566l_real(root,N_1),X))).
% 115.39/114.16  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),N_6))| -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_6),X)),hAPP_real_real(hAPP_n546711566l_real(root,N_1),X))).
% 115.39/114.16  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_n546711566l_real(root,N),X_1)),one_one_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),one_one_real)).
% 115.39/114.16  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_n546711566l_real(root,N),X_1)),one_one_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),one_one_real)).
% 115.39/114.16  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),hAPP_real_real(hAPP_n546711566l_real(root,N),Y_2)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),Y_2)).
% 115.39/114.16  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),hAPP_real_real(hAPP_n546711566l_real(root,N),Y_2)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),Y_2)).
% 115.39/114.16  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),N_6))| -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_6),X)),hAPP_real_real(hAPP_n546711566l_real(root,N_1),X))).
% 115.39/114.16  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_n546711566l_real(root,N),X_1)),one_one_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),one_one_real)).
% 115.39/114.16  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_n546711566l_real(root,N),X_1)),one_one_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),one_one_real)).
% 115.39/114.16  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),hAPP_real_real(hAPP_n546711566l_real(root,N),Y_2)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),Y_2)).
% 115.39/114.16  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),hAPP_real_real(hAPP_n546711566l_real(root,N),Y_2)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),Y_2)).
% 115.39/114.16  0 [] -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_1)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X),hAPP_nat_nat(suc,N_1)))=X.
% 115.39/114.16  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_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_1),X)),hAPP_real_real(hAPP_n546711566l_real(root,N_1),Y))).
% 115.39/114.16  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_7))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_4))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(hAPP_n546711566l_real(root,N_7),X_4))).
% 115.39/114.16  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_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_1),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_1),X)),hAPP_real_real(hAPP_n546711566l_real(root,N_1),Y)).
% 115.39/114.16  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),M_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))|hAPP_real_real(hAPP_n546711566l_real(root,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),N_1)),X)=hAPP_real_real(hAPP_n546711566l_real(root,M_1),hAPP_real_real(hAPP_n546711566l_real(root,N_1),X)).
% 115.39/114.16  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Y))|hAPP_nat_real(hAPP_r474017924t_real(power_power_real,Y),N_1)!=X|hAPP_real_real(hAPP_n546711566l_real(root,N_1),X)=Y.
% 115.39/114.16  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X))|hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(hAPP_n546711566l_real(root,N_1),X)),N_1)=X.
% 115.39/114.16  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X))|hAPP_real_real(hAPP_n546711566l_real(root,N_1),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X),N_1))=X.
% 115.39/114.16  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))|hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(hAPP_n546711566l_real(root,N_1),X)),N_1)=X.
% 115.39/114.16  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),N_6))| -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_1),X)),hAPP_real_real(hAPP_n546711566l_real(root,N_6),X))).
% 115.39/114.16  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),N_6))| -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_1),X)),hAPP_real_real(hAPP_n546711566l_real(root,N_6),X))).
% 115.39/114.16  0 [] sqrt=hAPP_n546711566l_real(root,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))).
% 115.39/114.16  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X))|hAPP_real_real(hAPP_n546711566l_real(root,N_1),hAPP_real_real(inverse_inverse_real,X))=hAPP_real_real(inverse_inverse_real,hAPP_real_real(hAPP_n546711566l_real(root,N_1),X)).
% 115.39/114.16  0 [] hBOOL(hAPP_nat_bool(even_odd_even_nat,N))|X_1=zero_zero_real|hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(root,N),X_1),hAPP_real_real(inverse_inverse_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(hAPP_n546711566l_real(root,N),X_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),hAPP_nat_nat(suc,zero_zero_nat))))))).
% 115.39/114.16  0 [] -hBOOL(hAPP_P603027463t_bool(accp_P2006205492nt_int(negDivAlg_rel),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Aa),Ba)))| -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,Aa),Ba)))|negDivAlg(Aa,Ba)=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,Aa),Ba)).
% 115.39/114.16  0 [] -hBOOL(hAPP_P603027463t_bool(accp_P2006205492nt_int(negDivAlg_rel),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Aa),Ba)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Ba),zero_zero_int))|negDivAlg(Aa,Ba)=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,Aa),Ba)).
% 115.39/114.16  0 [] -hBOOL(hAPP_P603027463t_bool(accp_P2006205492nt_int(negDivAlg_rel),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Aa),Ba)))|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,Aa),Ba)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Ba),zero_zero_int))|negDivAlg(Aa,Ba)=hAPP_P1975530577nt_int(adjust(Ba),negDivAlg(Aa,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)))),Ba))).
% 115.39/114.16  0 [] -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))).
% 115.39/114.16  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),$f283(F,F_1,Aa,Ba)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),$f284(F,F_1,Aa,Ba))).
% 115.39/114.16  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),$f283(F,F_1,Aa,Ba)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,$f284(F,F_1,Aa,Ba)),Ba)).
% 115.39/114.16  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),$f283(F,F_1,Aa,Ba)))|hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(F,Ba)),hAPP_real_real(F,Aa))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Ba),Aa)),hAPP_real_real(F_1,$f284(F,F_1,Aa,Ba))).
% 115.39/114.16  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f283(F,F_1,Aa,Ba)),Ba))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),$f284(F,F_1,Aa,Ba))).
% 115.39/114.16  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f283(F,F_1,Aa,Ba)),Ba))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,$f284(F,F_1,Aa,Ba)),Ba)).
% 115.39/114.16  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f283(F,F_1,Aa,Ba)),Ba))|hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(F,Ba)),hAPP_real_real(F,Aa))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Ba),Aa)),hAPP_real_real(F_1,$f284(F,F_1,Aa,Ba))).
% 115.39/114.16  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba))| -hBOOL(hAPP_real_bool(deriv_real(F,$f283(F,F_1,Aa,Ba)),hAPP_real_real(F_1,$f283(F,F_1,Aa,Ba))))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),$f284(F,F_1,Aa,Ba))).
% 115.39/114.16  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba))| -hBOOL(hAPP_real_bool(deriv_real(F,$f283(F,F_1,Aa,Ba)),hAPP_real_real(F_1,$f283(F,F_1,Aa,Ba))))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,$f284(F,F_1,Aa,Ba)),Ba)).
% 115.39/114.16  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba))| -hBOOL(hAPP_real_bool(deriv_real(F,$f283(F,F_1,Aa,Ba)),hAPP_real_real(F_1,$f283(F,F_1,Aa,Ba))))|hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(F,Ba)),hAPP_real_real(F,Aa))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Ba),Aa)),hAPP_real_real(F_1,$f284(F,F_1,Aa,Ba))).
% 115.39/114.16  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Y))|X=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,$f286(X,Y)),hAPP_real_real(cos,$f285(X,Y))).
% 115.39/114.16  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Y))|Y=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,$f286(X,Y)),hAPP_real_real(sin,$f285(X,Y))).
% 115.39/114.16  0 [] -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))).
% 115.39/114.16  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(exp_real,X_1)),hAPP_real_real(exp_real,Y_2)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_2)).
% 115.39/114.16  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(exp_real,X_1)),hAPP_real_real(exp_real,Y_2)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_2)).
% 115.39/114.16  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(exp_real,X_1)),hAPP_real_real(exp_real,Y_2)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_2)).
% 115.39/114.16  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(exp_real,X_1)),hAPP_real_real(exp_real,Y_2)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_2)).
% 115.39/114.16  0 [] -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)).
% 115.39/114.16  0 [] hAPP_real_real(exp_real,X_1)!=hAPP_real_real(exp_real,Y_2)|X_1=Y_2.
% 115.39/114.16  0 [] hAPP_real_real(exp_real,X_1)=hAPP_real_real(exp_real,Y_2)|X_1!=Y_2.
% 115.39/114.16  0 [] hAPP_real_real(abs_abs_real,hAPP_real_real(exp_real,X))=hAPP_real_real(exp_real,X).
% 115.39/114.16  0 [] hAPP_real_real(exp_real,Y)!=X|hAPP_real_real(ln,X)=Y.
% 115.39/114.16  0 [] hAPP_real_real(exp_real,U_1)!=X|hAPP_real_real(ln,X)=U_1.
% 115.39/114.16  0 [] hAPP_real_real(ln,hAPP_real_real(exp_real,X))=X.
% 115.39/114.16  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(exp_real,X)),zero_zero_real)).
% 115.39/114.16  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(exp_real,X))).
% 115.39/114.16  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(exp_real,X))).
% 115.39/114.16  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(exp_real,X)),zero_zero_real)).
% 115.39/114.16  0 [] hAPP_real_real(exp_real,X_1)!=one_one_real|X_1=zero_zero_real.
% 115.39/114.16  0 [] hAPP_real_real(exp_real,X_1)=one_one_real|X_1!=zero_zero_real.
% 115.39/114.16  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),hAPP_real_real(exp_real,X_1)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_1)).
% 115.39/114.16  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),hAPP_real_real(exp_real,X_1)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_1)).
% 115.39/114.16  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(exp_real,X_1)),one_one_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),zero_zero_real)).
% 115.39/114.16  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(exp_real,X_1)),one_one_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),zero_zero_real)).
% 115.39/114.16  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),hAPP_real_real(exp_real,X))).
% 115.39/114.16  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(exp_real,X_1)),one_one_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),zero_zero_real)).
% 115.39/114.16  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(exp_real,X_1)),one_one_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),zero_zero_real)).
% 115.39/114.16  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),hAPP_real_real(exp_real,X_1)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1)).
% 115.39/114.16  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),hAPP_real_real(exp_real,X_1)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1)).
% 115.39/114.16  0 [] 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))).
% 115.39/114.16  0 [] hAPP_real_real(exp_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N_1)),X))=hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(exp_real,X)),N_1).
% 115.39/114.16  0 [] hAPP_real_real(exp_real,hAPP_real_real(ln,X_1))!=X_1|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1)).
% 115.39/114.16  0 [] hAPP_real_real(exp_real,hAPP_real_real(ln,X_1))=X_1| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1)).
% 115.39/114.16  0 [] -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.
% 115.39/114.16  0 [] -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))).
% 115.39/114.16  0 [] -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))).
% 115.39/114.16  0 [] -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))))))).
% 115.39/114.17  0 [] -hBOOL(hAPP_P603027463t_bool(accp_P2006205492nt_int(negDivAlg_rel),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,A0),A1)))|hBOOL(hAPP_P603027463t_bool(accp_P2006205492nt_int(negDivAlg_rel),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,$f288(P_1,A0,A1)),$f287(P_1,A0,A1))))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(P_1,A0),A1)).
% 115.39/114.17  0 [] -hBOOL(hAPP_P603027463t_bool(accp_P2006205492nt_int(negDivAlg_rel),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,A0),A1)))|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,$f288(P_1,A0,A1)),$f287(P_1,A0,A1))))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,$f287(P_1,A0,A1)),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(P_1,$f288(P_1,A0,A1)),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)))),$f287(P_1,A0,A1))))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(P_1,A0),A1)).
% 115.39/114.17  0 [] -hBOOL(hAPP_P603027463t_bool(accp_P2006205492nt_int(negDivAlg_rel),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,A0),A1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(P_1,$f288(P_1,A0,A1)),$f287(P_1,A0,A1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(P_1,A0),A1)).
% 115.39/114.17  0 [] -hBOOL(hAPP_P603027463t_bool(accp_P2006205492nt_int(posDivAlg_rel),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Aa),Ba)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),Ba))|posDivAlg(Aa,Ba)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,zero_zero_int),Aa).
% 115.39/114.17  0 [] -hBOOL(hAPP_P603027463t_bool(accp_P2006205492nt_int(posDivAlg_rel),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Aa),Ba)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Ba),zero_zero_int))|posDivAlg(Aa,Ba)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,zero_zero_int),Aa).
% 115.39/114.17  0 [] -hBOOL(hAPP_P603027463t_bool(accp_P2006205492nt_int(posDivAlg_rel),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Aa),Ba)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),Ba))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Ba),zero_zero_int))|posDivAlg(Aa,Ba)=hAPP_P1975530577nt_int(adjust(Ba),posDivAlg(Aa,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),Ba))).
% 115.39/114.17  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),Y))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),$f289(Y))).
% 115.39/114.17  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),Y))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f289(Y)),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Y),one_one_real))).
% 115.39/114.17  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),Y))|hAPP_real_real(exp_real,$f289(Y))=Y.
% 115.39/114.17  0 [] -hBOOL(hAPP_P603027463t_bool(accp_P2006205492nt_int(posDivAlg_rel),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,A0),A1)))|hBOOL(hAPP_P603027463t_bool(accp_P2006205492nt_int(posDivAlg_rel),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,$f291(P_1,A0,A1)),$f290(P_1,A0,A1))))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(P_1,A0),A1)).
% 115.39/114.17  0 [] -hBOOL(hAPP_P603027463t_bool(accp_P2006205492nt_int(posDivAlg_rel),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,A0),A1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f291(P_1,A0,A1)),$f290(P_1,A0,A1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,$f290(P_1,A0,A1)),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(P_1,$f291(P_1,A0,A1)),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)))),$f290(P_1,A0,A1))))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(P_1,A0),A1)).
% 115.39/114.17  0 [] -hBOOL(hAPP_P603027463t_bool(accp_P2006205492nt_int(posDivAlg_rel),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,A0),A1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(P_1,$f291(P_1,A0,A1)),$f290(P_1,A0,A1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(P_1,A0),A1)).
% 115.39/114.17  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))|hAPP_real_real(log(hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),X)=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(ln,hAPP_real_real(exp_real,one_one_real))),hAPP_real_real(ln,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))),hAPP_real_real(ln,X)).
% 115.39/114.17  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))|hAPP_real_real(log(hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),X)=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(log(hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),hAPP_real_real(exp_real,one_one_real))),hAPP_real_real(ln,X)).
% 115.39/114.17  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Y))|hAPP_real_real(exp_real,$f292(Y))=Y.
% 115.39/114.17  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y),zero_zero_real))|X=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,$f294(X,Y)),hAPP_real_real(cos,$f293(X,Y))).
% 115.39/114.17  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y),zero_zero_real))|Y=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,$f294(X,Y)),hAPP_real_real(sin,$f293(X,Y))).
% 115.39/114.17  0 [] hAPP_real_real(log(A_2),one_one_real)=zero_zero_real.
% 115.39/114.17  0 [] hAPP_real_real(log(A_2),X)=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(ln,X)),hAPP_real_real(ln,A_2)).
% 115.39/114.17  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),Aa))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Y_2))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(log(Aa),X_1)),hAPP_real_real(log(Aa),Y_2)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_2)).
% 115.39/114.17  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),Aa))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Y_2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(log(Aa),X_1)),hAPP_real_real(log(Aa),Y_2)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_2)).
% 115.39/114.17  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_2))|A_2=one_one_real|hAPP_real_real(log(A_2),A_2)=one_one_real.
% 115.39/114.17  0 [] hAPP_real_real(ln,X)=hAPP_real_real(log(hAPP_real_real(exp_real,one_one_real)),X).
% 115.39/114.17  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),Aa))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Y_2))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(log(Aa),X_1)),hAPP_real_real(log(Aa),Y_2)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_2)).
% 115.39/114.17  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),Aa))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Y_2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(log(Aa),X_1)),hAPP_real_real(log(Aa),Y_2)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_2)).
% 115.39/114.17  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))|hAPP_real_real(log(B_1),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X),N_1))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N_1)),hAPP_real_real(log(B_1),X)).
% 115.39/114.17  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_2))|A_2=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_2),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_2),X)),hAPP_real_real(log(A_2),Y)).
% 115.39/114.17  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_2))|A_2=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_2),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_2),X)),hAPP_real_real(log(A_2),Y)).
% 115.39/114.17  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_2))|A_2=one_one_real| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))|hAPP_real_real(log(A_2),hAPP_real_real(inverse_inverse_real,X))=hAPP_real_real(uminus_uminus_real,hAPP_real_real(log(A_2),X)).
% 115.39/114.17  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_2))|A_2=one_one_real| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),B_1))|B_1=one_one_real| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))|hAPP_real_real(log(A_2),X)=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(ln,B_1)),hAPP_real_real(ln,A_2))),hAPP_real_real(log(B_1),X)).
% 115.39/114.17  0 [] 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.
% 115.39/114.17  0 [] -hBOOL(hAPP_real_bool(deriv_real(F,$f295(X_1,Y_2,F)),zero_zero_real))|hAPP_real_real(F,X_1)=hAPP_real_real(F,Y_2).
% 115.39/114.17  0 [] K_2!=zero_z126310315umeral|code_int_of(K_2)=zero_zero_int.
% 115.39/114.17  0 [] 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)))))).
% 115.39/114.17  0 [] 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(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).
% 115.39/114.17  0 [] -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_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_2),P_3))|hAPP_int_int(inv(P_3),hAPP_int_int(inv(P_3),A_2))=A_2.
% 115.39/114.17  0 [] -hBOOL(hAPP_int_bool(even_odd_even_int,hAPP_int_int(uminus_uminus_int,X_1)))|hBOOL(hAPP_int_bool(even_odd_even_int,X_1)).
% 115.39/114.17  0 [] hBOOL(hAPP_int_bool(even_odd_even_int,hAPP_int_int(uminus_uminus_int,X_1)))| -hBOOL(hAPP_int_bool(even_odd_even_int,X_1)).
% 115.39/114.17  0 [] hAPP_C498520661umeral(hAPP_C1594335432umeral(minus_1690775515umeral,zero_z126310315umeral),one_on1645066479umeral)=zero_z126310315umeral.
% 115.39/114.17  0 [] -hBOOL(hAPP_int_bool(even_odd_even_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_1),Y_2)))|hBOOL(hAPP_int_bool(even_odd_even_int,X_1))| -hBOOL(hAPP_int_bool(even_odd_even_int,Y_2)).
% 115.39/114.17  0 [] -hBOOL(hAPP_int_bool(even_odd_even_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_1),Y_2)))|hBOOL(hAPP_int_bool(even_odd_even_int,Y_2))| -hBOOL(hAPP_int_bool(even_odd_even_int,X_1)).
% 115.39/114.17  0 [] hBOOL(hAPP_int_bool(even_odd_even_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_1),Y_2)))| -hBOOL(hAPP_int_bool(even_odd_even_int,X_1))| -hBOOL(hAPP_int_bool(even_odd_even_int,Y_2)).
% 115.39/114.17  0 [] hBOOL(hAPP_int_bool(even_odd_even_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_1),Y_2)))|hBOOL(hAPP_int_bool(even_odd_even_int,X_1))|hBOOL(hAPP_int_bool(even_odd_even_int,Y_2)).
% 115.39/114.17  0 [] 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))).
% 115.39/114.17  0 [] 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))).
% 115.39/114.17  0 [] -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))).
% 115.39/114.17  0 [] -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))).
% 115.39/114.17  0 [] -hBOOL(hAPP_int_bool(even_odd_even_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_1),Y_2)))|hBOOL(hAPP_int_bool(even_odd_even_int,X_1))| -hBOOL(hAPP_int_bool(even_odd_even_int,Y_2)).
% 115.39/114.17  0 [] -hBOOL(hAPP_int_bool(even_odd_even_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_1),Y_2)))|hBOOL(hAPP_int_bool(even_odd_even_int,Y_2))| -hBOOL(hAPP_int_bool(even_odd_even_int,X_1)).
% 115.39/114.17  0 [] hBOOL(hAPP_int_bool(even_odd_even_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_1),Y_2)))| -hBOOL(hAPP_int_bool(even_odd_even_int,X_1))| -hBOOL(hAPP_int_bool(even_odd_even_int,Y_2)).
% 115.39/114.17  0 [] hBOOL(hAPP_int_bool(even_odd_even_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_1),Y_2)))|hBOOL(hAPP_int_bool(even_odd_even_int,X_1))|hBOOL(hAPP_int_bool(even_odd_even_int,Y_2)).
% 115.39/114.17  0 [] 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))).
% 115.39/114.17  0 [] -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))).
% 115.39/114.17  0 [] -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))).
% 115.39/114.17  0 [] -hBOOL(hAPP_int_bool(even_odd_even_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_1),Y_2)))|hBOOL(hAPP_int_bool(even_odd_even_int,X_1))|hBOOL(hAPP_int_bool(even_odd_even_int,Y_2)).
% 115.39/114.17  0 [] hBOOL(hAPP_int_bool(even_odd_even_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_1),Y_2)))| -hBOOL(hAPP_int_bool(even_odd_even_int,X_1)).
% 115.39/114.17  0 [] hBOOL(hAPP_int_bool(even_odd_even_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_1),Y_2)))| -hBOOL(hAPP_int_bool(even_odd_even_int,Y_2)).
% 115.39/114.17  0 [] -hBOOL(hAPP_int_bool(even_odd_even_int,one_one_int)).
% 115.39/114.17  0 [] hBOOL(hAPP_int_bool(even_odd_even_int,zero_zero_int)).
% 115.39/114.17  0 [] 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_1))).
% 115.39/114.17  0 [] -hBOOL(hAPP_int_bool(even_odd_even_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_1),N)))|hBOOL(hAPP_int_bool(even_odd_even_int,X_1)).
% 115.39/114.17  0 [] -hBOOL(hAPP_int_bool(even_odd_even_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_1),N)))|N!=zero_zero_nat.
% 115.39/114.17  0 [] hBOOL(hAPP_int_bool(even_odd_even_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_1),N)))| -hBOOL(hAPP_int_bool(even_odd_even_int,X_1))|N=zero_zero_nat.
% 115.39/114.17  0 [] zero_z126310315umeral=hAPP_i769753017umeral(number1443263063umeral,pls).
% 115.39/114.17  0 [] hBOOL(hAPP_int_bool(zprime,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))).
% 115.39/114.17  0 [] -hBOOL(hAPP_int_bool(zprime,P_3))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_2),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_2)),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,P_3),one_one_int))).
% 115.39/114.17  0 [] -hBOOL(hAPP_int_bool(zprime,P_3))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_2),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_2))).
% 115.39/114.17  0 [] -hBOOL(hAPP_int_bool(zprime,P_3))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_2),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,P_3),one_one_int)))|hAPP_int_int(inv(P_3),A_2)!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,P_3),one_one_int).
% 115.39/114.17  0 [] -hBOOL(hAPP_int_bool(zprime,P_3))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_2),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,P_3),one_one_int)))|hAPP_int_int(inv(P_3),A_2)!=one_one_int.
% 115.39/114.17  0 [] -hBOOL(hAPP_int_bool(zprime,P_3))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_2),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,P_3),one_one_int)))|A_2!=hAPP_int_int(inv(P_3),A_2).
% 115.39/114.17  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))| -hBOOL(hAPP_int_bool(even_odd_even_int,X_1))|hBOOL(hAPP_nat_bool(even_odd_even_nat,hAPP_int_nat(nat,X_1))).
% 115.39/114.17  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))|hBOOL(hAPP_int_bool(even_odd_even_int,X_1))| -hBOOL(hAPP_nat_bool(even_odd_even_nat,hAPP_int_nat(nat,X_1))).
% 115.39/114.17  0 [] -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)).
% 115.39/114.17  0 [] -hBOOL(hAPP_int_bool(zprime,P_3))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_2),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,P_3),one_one_int)))|hAPP_int_int(inv(P_3),A_2)!=zero_zero_int.
% 115.39/114.17  0 [] -hBOOL(hAPP_int_bool(even_odd_even_int,X_1))|X_1=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),$f296(X_1)).
% 115.39/114.17  0 [] hBOOL(hAPP_int_bool(even_odd_even_int,X_1))|X_1!=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),Y_1).
% 115.39/114.17  0 [] -hBOOL(hAPP_int_bool(zprime,Pa))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Pa),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)))),Pa)).
% 115.39/114.17  0 [] -hBOOL(hAPP_int_bool(zprime,Pa))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Pa),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)))),Pa)).
% 115.39/114.17  0 [] -hBOOL(hAPP_int_bool(even_odd_even_int,X_1))|hAPP_int_int(div_mod_int(X_1),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=zero_zero_int.
% 115.39/114.17  0 [] hBOOL(hAPP_int_bool(even_odd_even_int,X_1))|hAPP_int_int(div_mod_int(X_1),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))!=zero_zero_int.
% 115.39/114.17  0 [] -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.
% 115.39/114.17  0 [] one_on1645066479umeral=hAPP_i769753017umeral(number1443263063umeral,hAPP_int_int(bit1,pls)).
% 115.39/114.17  0 [] hBOOL(hAPP_int_bool(even_odd_even_int,X_1))|X_1=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),$f297(X_1))),one_one_int).
% 115.39/114.17  0 [] -hBOOL(hAPP_int_bool(even_odd_even_int,X_1))|X_1!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),Y_1)),one_one_int).
% 115.39/114.17  0 [] 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).
% 115.39/114.17  0 [] -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)))).
% 115.39/114.17  0 [] code_d418564891umeral(N_1,M_1)=hAPP_C2132160860umeral(hAPP_C1614127039umeral(produc2136830103umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,N_1),M_1)),hAPP_C498520661umeral(div_mo1740067990umeral(N_1),M_1)).
% 115.39/114.17  0 [] -hBOOL(hAPP_int_bool(zprime,Pa))| -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))))),Pa))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Pa),one_one_int)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Ba),hAPP_i1948725293t_bool(wset(Aa),Pa)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(inv(Pa),Ba)),hAPP_i1948725293t_bool(wset(Aa),Pa))).
% 115.39/114.17  0 [] -hBOOL(hAPP_int_bool(zprime,Pa))| -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))))),Pa))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Pa),one_one_int)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),Ba))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Ba),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Pa),one_one_int)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(inv(Pa),Ba)),hAPP_i1948725293t_bool(wset(Aa),Pa)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Ba),hAPP_i1948725293t_bool(wset(Aa),Pa))).
% 115.39/114.17  0 [] -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_2),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_2),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)).
% 115.39/114.17  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(M_1),zero_zero_int),M_1)).
% 115.39/114.17  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Aa),Ba),zero_zero_int))|Aa=Ba.
% 115.39/114.17  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Aa),Ba),zero_zero_int))|Aa!=Ba.
% 115.39/114.17  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Aa),Ba),M))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(div_mod_int(Aa),M)),hAPP_int_int(div_mod_int(Ba),M)),M)).
% 115.39/114.17  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Aa),Ba),M))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(div_mod_int(Aa),M)),hAPP_int_int(div_mod_int(Ba),M)),M)).
% 115.39/114.17  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_2),B_1),one_one_int)).
% 115.39/114.17  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_2),B_1),M_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(C_1),D_3),M_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_2),C_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_1),D_3)),M_1)).
% 115.39/114.17  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_2),B_1),M_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_2),A_2)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_2),B_1)),M_1)).
% 115.39/114.17  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_2),B_1),M_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_2),K_2)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_1),K_2)),M_1)).
% 115.39/114.17  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Aa),Ba),M))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(C),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,D),Aa)),M))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(C),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,D),Ba)),M)).
% 115.39/114.17  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Aa),Ba),M))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(C),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,D),Aa)),M))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(C),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,D),Ba)),M)).
% 115.39/114.17  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Aa),Ba),M))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(C),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Aa),D)),M))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(C),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Ba),D)),M)).
% 115.39/114.17  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Aa),Ba),M))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(C),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Aa),D)),M))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(C),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Ba),D)),M)).
% 115.39/114.17  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_2),M_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_1),M_1)),M_1)).
% 115.39/114.17  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_2),B_1),M_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(C_1),D_3),M_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_2),C_1)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_1),D_3)),M_1)).
% 115.39/114.17  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_2),B_1),M_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_2),C_1)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_1),C_1)),M_1)).
% 115.39/114.17  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_2),B_1),M_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(C_1),D_3),M_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_2),C_1)),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,B_1),D_3)),M_1)).
% 115.39/114.17  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Aa),Ba),hAPP_int_int(uminus_uminus_int,M)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Aa),Ba),M)).
% 115.39/114.17  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Aa),Ba),hAPP_int_int(uminus_uminus_int,M)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Aa),Ba),M)).
% 115.39/114.18  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(X),Y),M_1))|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_1)).
% 115.39/114.18  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Aa),Ba),M))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Ba),Aa),M)).
% 115.39/114.18  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Aa),Ba),M))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Ba),Aa),M)).
% 115.39/114.18  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(K_2),K_2),M_1)).
% 115.39/114.18  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_2),B_1),M_1))|B_1!=C_1| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(C_1),D_3),M_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_2),D_3),M_1)).
% 115.39/114.18  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_2),B_1),M_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(B_1),C_1),M_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_2),C_1),M_1)).
% 115.39/114.18  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_2),M_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,B_1),A_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_2),B_1),M_1)).
% 115.39/114.18  0 [] -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_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(X),zero_zero_int),M_1)).
% 115.39/114.18  0 [] -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_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(X),Y),M_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X),M_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y),M_1))|X=Y.
% 115.39/114.18  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Aa),Ba),M))|Ba=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Aa),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,M),$f298(Aa,Ba,M))).
% 115.39/114.18  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Aa),Ba),M))|Ba!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Aa),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,M),K)).
% 115.39/114.18  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X),M_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(X),zero_zero_int),M_1))|X=zero_zero_int.
% 115.39/114.18  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_2),M_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_2),zero_zero_int),M_1))|A_2=zero_zero_int.
% 115.39/114.18  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_2),M_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_int,B_1),M_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_2),B_1),M_1))|A_2=B_1.
% 115.39/114.18  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),M))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Aa),Ba),M))|hAPP_int_int(div_mod_int(Aa),M)=hAPP_int_int(div_mod_int(Ba),M).
% 115.39/114.18  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),M))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Aa),Ba),M))|hAPP_int_int(div_mod_int(Aa),M)!=hAPP_int_int(div_mod_int(Ba),M).
% 115.39/114.18  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Aa),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Pa),one_one_int))),one_one_int),Pa))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Aa),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Pa),one_one_int)),Pa)).
% 115.39/114.18  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Aa),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Pa),one_one_int))),one_one_int),Pa))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Aa),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Pa),one_one_int)),Pa)).
% 115.39/114.18  0 [] -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)).
% 115.39/114.18  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),Aa))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Aa),hAPP_i1948725293t_bool(wset(Aa),Pa))).
% 115.39/114.18  0 [] -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)).
% 115.39/114.18  0 [] -hBOOL(hAPP_int_bool(zprime,P_3))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_2))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_2),zero_zero_int),P_3))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(B_1),zero_zero_int),P_3))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_2),B_1)),zero_zero_int),P_3)).
% 115.39/114.18  0 [] -hBOOL(hAPP_int_bool(zprime,P_3))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_2),B_1)),zero_zero_int),P_3))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_2),zero_zero_int),P_3))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(B_1),zero_zero_int),P_3)).
% 115.39/114.18  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),Aa))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Ba),hAPP_i1948725293t_bool(wset(hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Aa),one_one_int)),Pa)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Ba),hAPP_i1948725293t_bool(wset(Aa),Pa))).
% 115.39/114.18  0 [] -hBOOL(hAPP_int_bool(zprime,P_3))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_2),A_2)),one_one_int),P_3))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_2),one_one_int),P_3))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_2),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,P_3),one_one_int)),P_3)).
% 115.39/114.18  0 [] -hBOOL(hAPP_int_bool(zprime,P_3))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_2),P_3))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_2),A_2)),one_one_int),P_3))|A_2=one_one_int|A_2=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,P_3),one_one_int).
% 115.39/114.18  0 [] -hBOOL(hAPP_int_bool(zprime,Pa))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Pa),one_one_int)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Ba),hAPP_i1948725293t_bool(wset(Aa),Pa)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),Ba)).
% 115.39/114.18  0 [] -hBOOL(hAPP_int_bool(zprime,Pa))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Pa),one_one_int)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Ba),hAPP_i1948725293t_bool(wset(Aa),Pa)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Ba),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Pa),one_one_int))).
% 115.39/114.18  0 [] -hBOOL(hAPP_int_bool(zprime,P_3))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_2),P_3))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_2),hAPP_int_int(inv(P_3),A_2))),one_one_int),P_3)).
% 115.39/114.18  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),Aa))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Ba),hAPP_i1948725293t_bool(wset(hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Aa),one_one_int)),Pa)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Ba),hAPP_i1948725293t_bool(wset(Aa),Pa)))|Ba=Aa|Ba=hAPP_int_int(inv(Pa),Aa).
% 115.39/114.18  0 [] -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)).
% 115.39/114.18  0 [] -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_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(one_one_int),hAPP_int_int(number_number_of_int,min)),M_1)).
% 115.39/114.18  0 [] -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)).
% 115.39/114.18  0 [] -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_1))| -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_1))|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).
% 115.39/114.18  0 [] -hBOOL(hAPP_int_bool(zprime,Pa))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Pa),one_one_int)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),Ba))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Ba),Aa))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Ba),hAPP_i1948725293t_bool(wset(Aa),Pa))).
% 115.39/114.18  0 [] -hBOOL(hAPP_int_bool(zprime,Pa))|hAPP_i1948725293t_bool(d22set,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Pa),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,Pa),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),Pa).
% 115.39/114.18  0 [] -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_2),P_3)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_2),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)).
% 115.39/114.18  0 [] -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_2),zero_zero_int),P_3))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(quadRes,P_3),A_2))|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_2),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)).
% 115.39/114.18  0 [] -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)).
% 115.39/114.18  0 [] -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)).
% 115.39/114.18  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_2),zero_zero_int),P_3))|hAPP_int_int(legendre(A_2),P_3)=zero_zero_int.
% 115.39/114.18  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_2),zero_zero_int),P_3))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(quadRes,P_3),A_2))|hAPP_int_int(legendre(A_2),P_3)=one_one_int.
% 115.39/114.18  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_2),zero_zero_int),P_3))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(quadRes,P_3),A_2))|hAPP_int_int(legendre(A_2),P_3)=hAPP_int_int(number_number_of_int,min).
% 115.39/114.18  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(quadRes,M),X_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,$f299(M,X_1)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),X_1),M)).
% 115.39/114.18  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(quadRes,M),X_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,Y_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),X_1),M)).
% 115.39/114.18  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),M_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),$f300(A_2,M_1))).
% 115.39/114.18  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),M_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f300(A_2,M_1)),M_1)).
% 115.39/114.18  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),M_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_2),$f300(A_2,M_1)),M_1)).
% 115.39/114.18  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),M_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_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_2),Y_1),M_1))|Y_1=$f300(A_2,M_1).
% 115.39/114.18  0 [] I!=zero_z126310315umeral|hAPP_nat_nat(code_nat_of_aux(I),N_1)=N_1.
% 115.39/114.18  0 [] I=zero_z126310315umeral|hAPP_nat_nat(code_nat_of_aux(I),N_1)=hAPP_nat_nat(code_nat_of_aux(hAPP_C498520661umeral(hAPP_C1594335432umeral(minus_1690775515umeral,I),one_on1645066479umeral)),hAPP_nat_nat(suc,N_1)).
% 115.39/114.18  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(X),hAPP_int_int(div_mod_int(X),M_1)),M_1)).
% 115.39/114.18  0 [] hAPP_int_int(div_mod_int(X),M_1)!=hAPP_int_int(div_mod_int(Y),M_1)|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(X),Y),M_1)).
% 115.39/114.18  0 [] -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_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(quadRes,P_3),A_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(J_2),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_2),hAPP_int_int(multInv(P_3),J_2))),P_3)).
% 115.39/114.18  0 [] -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)).
% 115.39/114.18  0 [] -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)).
% 115.39/114.18  0 [] -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)).
% 115.39/114.18  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(J_2),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_2),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_2),hAPP_int_int(multInv(P_3),K_2))),K_2)),P_3)).
% 115.39/114.18  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,J_2),K_2)),A_2),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_2)),P_3)).
% 115.39/114.18  0 [] -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)).
% 115.39/114.18  0 [] -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_2),hAPP_int_int(multInv(P_3),J_2))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_2),hAPP_int_int(multInv(P_3),K_2))),P_3)).
% 115.39/114.18  0 [] 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)))))).
% 115.39/114.18  0 [] -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)).
% 115.39/114.18  0 [] -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)).
% 115.39/114.18  0 [] -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)).
% 115.39/114.18  0 [] -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)).
% 115.39/114.18  0 [] -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)).
% 115.39/114.18  0 [] -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_2),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_2),hAPP_int_int(multInv(P_3),J_2))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_2),hAPP_int_int(multInv(P_3),K_2))),P_3))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(J_2),K_2),P_3)).
% 115.39/114.18  0 [] -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_2),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_2),hAPP_int_int(multInv(P_3),J_2))),P_3)).
% 115.39/114.18  0 [] -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_2),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_2),P_3)).
% 115.39/114.18  0 [] -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_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_2),hAPP_int_int(multInv(P_3),J_2))),P_3)).
% 115.39/114.18  0 [] hAPP_i1948725293t_bool(sr,Pa)=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),Pa))).
% 115.39/114.18  0 [] -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_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(standardRes(M_1),X)),hAPP_int_int(standardRes(M_1),Y))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X),Y)),M_1)).
% 115.39/114.18  0 [] hAPP_complex_complex(invers1449016382omplex,hAPP_real_complex(hAPP_r265291036omplex(complex,A_2),B_1))=hAPP_real_complex(hAPP_r265291036omplex(complex,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,A_2),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_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,B_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(uminus_uminus_real,B_1)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_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,B_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))).
% 115.39/114.18  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(uminus_uminus_int,hAPP_nat_int(semiri1621563631at_int,N_1))),hAPP_nat_int(semiri1621563631at_int,M_1))).
% 115.39/114.18  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(uminus_uminus_int,hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(suc,N_1)))),hAPP_nat_int(semiri1621563631at_int,M_1))).
% 115.39/114.18  0 [] zero_zero_complex=hAPP_real_complex(hAPP_r265291036omplex(complex,zero_zero_real),zero_zero_real).
% 115.39/114.18  0 [] hAPP_real_complex(hAPP_r265291036omplex(complex,Aa),Ba)!=zero_zero_complex|Aa=zero_zero_real.
% 115.39/114.18  0 [] hAPP_real_complex(hAPP_r265291036omplex(complex,Aa),Ba)!=zero_zero_complex|Ba=zero_zero_real.
% 115.39/114.18  0 [] hAPP_real_complex(hAPP_r265291036omplex(complex,Aa),Ba)=zero_zero_complex|Aa!=zero_zero_real|Ba!=zero_zero_real.
% 115.39/114.18  0 [] hAPP_complex_complex(hAPP_c172932010omplex(invers1025623611omplex,X),Y)=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,X),hAPP_complex_complex(invers1449016382omplex,Y)).
% 115.39/114.18  0 [] hAPP_int_int(abs_abs_int,hAPP_nat_int(semiri1621563631at_int,M_1))=hAPP_nat_int(semiri1621563631at_int,M_1).
% 115.39/114.18  0 [] real_nat=semiri132038758t_real.
% 115.39/114.18  0 [] real_nat=semiri132038758t_real.
% 115.39/114.18  0 [] hAPP_int_nat(nat,hAPP_nat_int(semiri1621563631at_int,N_1))=N_1.
% 115.39/114.18  0 [] hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_real_complex(hAPP_r265291036omplex(complex,A_2),B_1)),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_2),C_1)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B_1),D_3)).
% 115.39/114.18  0 [] hAPP_real_complex(hAPP_r265291036omplex(complex,Real1_2),Real2_2)!=hAPP_real_complex(hAPP_r265291036omplex(complex,Real1_1),Real2_1)|Real1_2=Real1_1.
% 115.39/114.18  0 [] hAPP_real_complex(hAPP_r265291036omplex(complex,Real1_2),Real2_2)!=hAPP_real_complex(hAPP_r265291036omplex(complex,Real1_1),Real2_1)|Real2_2=Real2_1.
% 115.39/114.18  0 [] 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.
% 115.39/114.18  0 [] hAPP_complex_complex(uminus473333897omplex,hAPP_real_complex(hAPP_r265291036omplex(complex,A_2),B_1))=hAPP_real_complex(hAPP_r265291036omplex(complex,hAPP_real_real(uminus_uminus_real,A_2)),hAPP_real_real(uminus_uminus_real,B_1)).
% 115.39/114.18  0 [] -hBOOL(hAPP_int_bool(nat_neg,hAPP_nat_int(semiri1621563631at_int,N_1))).
% 115.39/114.18  0 [] hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,hAPP_real_complex(hAPP_r265291036omplex(complex,A_2),B_1)),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_2),C_1)),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,B_1),D_3)).
% 115.39/114.18  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),hAPP_i1948725293t_bool(sr,Pa)))|hAPP_int_int(standardRes(Pa),X_1)=X_1.
% 115.39/114.18  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(X),hAPP_int_int(standardRes(M_1),X)),M_1)).
% 115.39/114.18  0 [] hAPP_int_int(standardRes(M_1),X)=hAPP_int_int(div_mod_int(X),M_1).
% 115.39/114.18  0 [] hAPP_nat_int(semiri1621563631at_int,N)!=zero_zero_int|N=zero_zero_nat.
% 115.39/114.18  0 [] hAPP_nat_int(semiri1621563631at_int,N)=zero_zero_int|N!=zero_zero_nat.
% 115.39/114.18  0 [] hAPP_nat_int(semiri1621563631at_int,zero_zero_nat)=zero_zero_int.
% 115.39/114.18  0 [] zero_zero_int=hAPP_nat_int(semiri1621563631at_int,zero_zero_nat).
% 115.39/114.18  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,K_2)),zero_zero_int)).
% 115.39/114.18  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_nat_int(semiri1621563631at_int,N_1))).
% 115.39/114.18  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_nat_int(semiri1621563631at_int,Z_1))).
% 115.39/114.18  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_2))| -hBOOL(hAPP_int_bool(P_1,X_2))|hBOOL(hAPP_int_bool(P_1,hAPP_nat_int(semiri1621563631at_int,$f301(P_1)))).
% 115.39/114.18  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),$f302(P_1)))| -hBOOL(hAPP_int_bool(P_1,hAPP_nat_int(semiri1621563631at_int,X9))).
% 115.39/114.18  0 [] hBOOL(hAPP_int_bool(P_1,$f302(P_1)))| -hBOOL(hAPP_int_bool(P_1,hAPP_nat_int(semiri1621563631at_int,X9))).
% 115.39/114.18  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),$f303(P_1)))|hBOOL(hAPP_int_bool(P_1,hAPP_nat_int(semiri1621563631at_int,X_2))).
% 115.39/114.18  0 [] -hBOOL(hAPP_int_bool(P_1,$f303(P_1)))|hBOOL(hAPP_int_bool(P_1,hAPP_nat_int(semiri1621563631at_int,X_2))).
% 115.39/114.18  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X10))|hBOOL(hAPP_int_bool(P_1,X10))| -hBOOL(hAPP_int_bool(P_1,hAPP_nat_int(semiri1621563631at_int,$f304(P_1)))).
% 115.39/114.18  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,M)),hAPP_nat_int(semiri1621563631at_int,N)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N)).
% 115.39/114.18  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,M)),hAPP_nat_int(semiri1621563631at_int,N)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N)).
% 115.39/114.18  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,X_1)),hAPP_nat_int(semiri1621563631at_int,Y_2)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_2)).
% 115.39/114.18  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,X_1)),hAPP_nat_int(semiri1621563631at_int,Y_2)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_2)).
% 115.39/114.18  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(semiri1621563631at_int,M)),hAPP_nat_int(semiri1621563631at_int,N)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N)).
% 115.39/114.18  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(semiri1621563631at_int,M)),hAPP_nat_int(semiri1621563631at_int,N)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N)).
% 115.39/114.18  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(semiri1621563631at_int,X_1)),hAPP_nat_int(semiri1621563631at_int,Y_2)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_2)).
% 115.39/114.18  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(semiri1621563631at_int,X_1)),hAPP_nat_int(semiri1621563631at_int,Y_2)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_2)).
% 115.39/114.18  0 [] hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_nat_int(semiri1621563631at_int,M_1)),hAPP_nat_int(semiri1621563631at_int,N_1))=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),N_1)).
% 115.39/114.18  0 [] hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),N_1))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_nat_int(semiri1621563631at_int,M_1)),hAPP_nat_int(semiri1621563631at_int,N_1)).
% 115.39/114.18  0 [] 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)).
% 115.39/114.18  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,W_1),Z_2))|Z_2=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,W_1),hAPP_nat_int(semiri1621563631at_int,$f305(W_1,Z_2))).
% 115.39/114.18  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,W_1),Z_2))|Z_2!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,W_1),hAPP_nat_int(semiri1621563631at_int,N_2)).
% 115.39/114.18  0 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(semiri1621563631at_int,M_1)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(semiri1621563631at_int,N_1)),Z_1))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N_1))),Z_1).
% 115.39/114.18  0 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(semiri1621563631at_int,M_1)),hAPP_nat_int(semiri1621563631at_int,N_1))=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N_1)).
% 115.39/114.18  0 [] 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)).
% 115.39/114.18  0 [] hAPP_nat_int(semiri1621563631at_int,one_one_nat)=one_one_int.
% 115.39/114.18  0 [] one_one_int=hAPP_nat_int(semiri1621563631at_int,one_one_nat).
% 115.39/114.18  0 [] hAPP_int_int(uminus_uminus_int,hAPP_nat_int(semiri1621563631at_int,N))!=hAPP_nat_int(semiri1621563631at_int,M)|N=zero_zero_nat.
% 115.39/114.18  0 [] hAPP_int_int(uminus_uminus_int,hAPP_nat_int(semiri1621563631at_int,N))!=hAPP_nat_int(semiri1621563631at_int,M)|M=zero_zero_nat.
% 115.39/114.18  0 [] hAPP_int_int(uminus_uminus_int,hAPP_nat_int(semiri1621563631at_int,N))=hAPP_nat_int(semiri1621563631at_int,M)|N!=zero_zero_nat|M!=zero_zero_nat.
% 115.39/114.18  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,N_1)),hAPP_int_int(uminus_uminus_int,hAPP_nat_int(semiri1621563631at_int,M_1)))).
% 115.39/114.18  0 [] hAPP_real_complex(hAPP_r265291036omplex(complex,Aa),Ba)!=hAPP_int_complex(number528085621omplex,W_1)|Aa=hAPP_int_real(number267125858f_real,W_1).
% 115.39/114.18  0 [] hAPP_real_complex(hAPP_r265291036omplex(complex,Aa),Ba)!=hAPP_int_complex(number528085621omplex,W_1)|Ba=zero_zero_real.
% 115.39/114.18  0 [] hAPP_real_complex(hAPP_r265291036omplex(complex,Aa),Ba)=hAPP_int_complex(number528085621omplex,W_1)|Aa!=hAPP_int_real(number267125858f_real,W_1)|Ba!=zero_zero_real.
% 115.39/114.18  0 [] hAPP_real_complex(hAPP_r265291036omplex(complex,Aa),Ba)!=one_one_complex|Aa=one_one_real.
% 115.39/114.18  0 [] hAPP_real_complex(hAPP_r265291036omplex(complex,Aa),Ba)!=one_one_complex|Ba=zero_zero_real.
% 115.39/114.18  0 [] hAPP_real_complex(hAPP_r265291036omplex(complex,Aa),Ba)=one_one_complex|Aa!=one_one_real|Ba!=zero_zero_real.
% 115.39/114.18  0 [] one_one_complex=hAPP_real_complex(hAPP_r265291036omplex(complex,one_one_real),zero_zero_real).
% 115.39/114.18  0 [] hAPP_int_real(real_int,hAPP_nat_int(semiri1621563631at_int,N_1))=hAPP_nat_real(real_nat,N_1).
% 115.39/114.18  0 [] 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)).
% 115.39/114.18  0 [] hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,A_2),B_1))=hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_nat_int(semiri1621563631at_int,A_2)),hAPP_nat_int(semiri1621563631at_int,B_1)).
% 115.39/114.18  0 [] 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)).
% 115.39/114.18  0 [] hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(div_mod_nat(A_2),B_1))=hAPP_int_int(div_mod_int(hAPP_nat_int(semiri1621563631at_int,A_2)),hAPP_nat_int(semiri1621563631at_int,B_1)).
% 115.39/114.18  0 [] hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_nat_int(semiri1621563631at_int,M_1)),N_1)=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,M_1),N_1)).
% 115.39/114.18  0 [] hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,M_1),N_1))=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_nat_int(semiri1621563631at_int,M_1)),N_1).
% 115.39/114.18  0 [] hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_nat_int(semiri1621563631at_int,X)),N_1)=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X),N_1)).
% 115.39/114.18  0 [] hBOOL(hAPP_int_bool(nat_neg,Z_1))|hAPP_nat_int(semiri1621563631at_int,hAPP_int_nat(nat,Z_1))=Z_1.
% 115.39/114.18  0 [] archim1246769320r_real(hAPP_nat_real(real_nat,N_1))=hAPP_nat_int(semiri1621563631at_int,N_1).
% 115.39/114.18  0 [] -hBOOL(hAPP_int_bool(even_odd_even_int,hAPP_nat_int(semiri1621563631at_int,X_1)))|hBOOL(hAPP_nat_bool(even_odd_even_nat,X_1)).
% 115.39/114.18  0 [] hBOOL(hAPP_int_bool(even_odd_even_int,hAPP_nat_int(semiri1621563631at_int,X_1)))| -hBOOL(hAPP_nat_bool(even_odd_even_nat,X_1)).
% 115.39/114.18  0 [] -hBOOL(hAPP_nat_bool(even_odd_even_nat,X_1))|hBOOL(hAPP_int_bool(even_odd_even_int,hAPP_nat_int(semiri1621563631at_int,X_1))).
% 115.39/114.18  0 [] hBOOL(hAPP_nat_bool(even_odd_even_nat,X_1))| -hBOOL(hAPP_int_bool(even_odd_even_int,hAPP_nat_int(semiri1621563631at_int,X_1))).
% 115.39/114.18  0 [] archim856651990g_real(hAPP_nat_real(real_nat,N_1))=hAPP_nat_int(semiri1621563631at_int,N_1).
% 115.39/114.18  0 [] 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)).
% 115.39/114.18  0 [] -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)).
% 115.39/114.18  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(X_1),zero_zero_int),Pa))|hAPP_int_int(standardRes(Pa),X_1)!=zero_zero_int.
% 115.39/114.18  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(X_1),zero_zero_int),Pa))|hAPP_int_int(standardRes(Pa),X_1)=zero_zero_int.
% 115.39/114.18  0 [] hAPP_int_int(standardRes(M),X_1)!=zero_zero_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(X_1),zero_zero_int),M)).
% 115.39/114.18  0 [] hAPP_int_int(standardRes(M),X_1)=zero_zero_int| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(X_1),zero_zero_int),M)).
% 115.39/114.18  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(semiri1621563631at_int,N)),zero_zero_int))|N=zero_zero_nat.
% 115.39/114.18  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(semiri1621563631at_int,N)),zero_zero_int))|N!=zero_zero_nat.
% 115.39/114.18  0 [] hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(suc,zero_zero_nat))=one_one_int.
% 115.39/114.18  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),Z_2))|Z_2=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,W_1),hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(suc,$f306(W_1,Z_2)))).
% 115.39/114.18  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),Z_2))|Z_2!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,W_1),hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(suc,N_2))).
% 115.39/114.18  0 [] hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(suc,M_1))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,M_1)).
% 115.39/114.18  0 [] -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.
% 115.39/114.18  0 [] hAPP_nat_int(semiri1621563631at_int,M)!=Z_2|M=hAPP_int_nat(nat,Z_2).
% 115.39/114.18  0 [] hAPP_nat_int(semiri1621563631at_int,M)!=Z_2|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Z_2)).
% 115.39/114.18  0 [] hAPP_nat_int(semiri1621563631at_int,M)=Z_2|M!=hAPP_int_nat(nat,Z_2)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Z_2)).
% 115.39/114.18  0 [] -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.
% 115.39/114.18  0 [] 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.
% 115.39/114.18  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),hAPP_int_nat(nat,Z_2)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,M)),Z_2)).
% 115.39/114.19  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),hAPP_int_nat(nat,Z_2)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,M)),Z_2)).
% 115.39/114.19  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(semiri1621563631at_int,N)),hAPP_int_int(uminus_uminus_int,hAPP_nat_int(semiri1621563631at_int,M))))|N=zero_zero_nat.
% 115.39/114.19  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(semiri1621563631at_int,N)),hAPP_int_int(uminus_uminus_int,hAPP_nat_int(semiri1621563631at_int,M))))|M=zero_zero_nat.
% 115.39/114.19  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(semiri1621563631at_int,N)),hAPP_int_int(uminus_uminus_int,hAPP_nat_int(semiri1621563631at_int,M))))|N!=zero_zero_nat|M!=zero_zero_nat.
% 115.39/114.19  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(uminus_uminus_int,hAPP_nat_int(semiri1621563631at_int,N_1))),zero_zero_int)).
% 115.39/114.19  0 [] hAPP_int_nat(nat,hAPP_int_int(uminus_uminus_int,hAPP_nat_int(semiri1621563631at_int,N_1)))=zero_zero_nat.
% 115.39/114.19  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),M_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))=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N_1)).
% 115.39/114.19  0 [] hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_real_complex(hAPP_r265291036omplex(complex,A_2),B_1)),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_2),C_1)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_1),D_3))),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_2),D_3)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_1),C_1))).
% 115.39/114.19  0 [] hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(uminus_uminus_int,hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(suc,N_1))))).
% 115.39/114.19  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(semiri1621563631at_int,N)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N)).
% 115.39/114.19  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(semiri1621563631at_int,N)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N)).
% 115.39/114.19  0 [] -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))).
% 115.39/114.19  0 [] 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)))).
% 115.39/114.19  0 [] -hBOOL(hAPP_nat_bool(P_1,hAPP_int_nat(nat,I_1)))|I_1!=hAPP_nat_int(semiri1621563631at_int,N_2)|hBOOL(hAPP_nat_bool(P_1,N_2)).
% 115.39/114.19  0 [] -hBOOL(hAPP_nat_bool(P_1,hAPP_int_nat(nat,I_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)).
% 115.39/114.19  0 [] hBOOL(hAPP_nat_bool(P_1,hAPP_int_nat(nat,I_1)))|I_1=hAPP_nat_int(semiri1621563631at_int,$f307(P_1,I_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,I_1),zero_zero_int)).
% 115.39/114.19  0 [] hBOOL(hAPP_nat_bool(P_1,hAPP_int_nat(nat,I_1)))|I_1=hAPP_nat_int(semiri1621563631at_int,$f307(P_1,I_1))| -hBOOL(hAPP_nat_bool(P_1,zero_zero_nat)).
% 115.39/114.19  0 [] hBOOL(hAPP_nat_bool(P_1,hAPP_int_nat(nat,I_1)))| -hBOOL(hAPP_nat_bool(P_1,$f307(P_1,I_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,I_1),zero_zero_int)).
% 115.39/114.19  0 [] hBOOL(hAPP_nat_bool(P_1,hAPP_int_nat(nat,I_1)))| -hBOOL(hAPP_nat_bool(P_1,$f307(P_1,I_1)))| -hBOOL(hAPP_nat_bool(P_1,zero_zero_nat)).
% 115.39/114.19  0 [] hAPP_int_nat(nat,W_1)!=M| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),W_1))|W_1=hAPP_nat_int(semiri1621563631at_int,M).
% 115.39/114.19  0 [] hAPP_int_nat(nat,W_1)!=M|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),W_1))|M=zero_zero_nat.
% 115.39/114.19  0 [] hAPP_int_nat(nat,W_1)=M|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),W_1))|M!=zero_zero_nat.
% 115.39/114.19  0 [] hAPP_int_nat(nat,W_1)=M|W_1!=hAPP_nat_int(semiri1621563631at_int,M)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),W_1)).
% 115.39/114.19  0 [] hAPP_int_nat(nat,W_1)=M|W_1!=hAPP_nat_int(semiri1621563631at_int,M)|M!=zero_zero_nat.
% 115.39/114.19  0 [] M!=hAPP_int_nat(nat,W_1)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),W_1))|W_1=hAPP_nat_int(semiri1621563631at_int,M).
% 115.39/114.19  0 [] M!=hAPP_int_nat(nat,W_1)|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),W_1))|M=zero_zero_nat.
% 115.39/114.19  0 [] M=hAPP_int_nat(nat,W_1)|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),W_1))|M!=zero_zero_nat.
% 115.39/114.19  0 [] M=hAPP_int_nat(nat,W_1)|W_1!=hAPP_nat_int(semiri1621563631at_int,M)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),W_1)).
% 115.39/114.19  0 [] M=hAPP_int_nat(nat,W_1)|W_1!=hAPP_nat_int(semiri1621563631at_int,M)|M!=zero_zero_nat.
% 115.39/114.19  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(uminus_uminus_int,hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(suc,N_1)))),zero_zero_int)).
% 115.39/114.19  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(uminus_uminus_int,hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(suc,N_1))))).
% 115.39/114.19  0 [] hAPP_nat_int(semiri1621563631at_int,M)!=hAPP_int_int(number_number_of_int,V)|M=hAPP_int_nat(nat,hAPP_int_int(number_number_of_int,V)).
% 115.39/114.19  0 [] hAPP_nat_int(semiri1621563631at_int,M)!=hAPP_int_int(number_number_of_int,V)|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(number_number_of_int,V))).
% 115.39/114.19  0 [] hAPP_nat_int(semiri1621563631at_int,M)=hAPP_int_int(number_number_of_int,V)|M!=hAPP_int_nat(nat,hAPP_int_int(number_number_of_int,V))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(number_number_of_int,V))).
% 115.39/114.19  0 [] -hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_2)))|hAPP_nat_int(semiri1621563631at_int,hAPP_int_nat(number_number_of_nat,V_2))=zero_zero_int.
% 115.39/114.19  0 [] hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_2)))|hAPP_nat_int(semiri1621563631at_int,hAPP_int_nat(number_number_of_nat,V_2))=hAPP_int_int(number_number_of_int,V_2).
% 115.39/114.19  0 [] -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))).
% 115.39/114.19  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),M))|hAPP_int_int(standardRes(M),X1_1)!=hAPP_int_int(standardRes(M),X2)|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(X1_1),X2),M)).
% 115.39/114.19  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),M))|hAPP_int_int(standardRes(M),X1_1)=hAPP_int_int(standardRes(M),X2)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(X1_1),X2),M)).
% 115.39/114.19  0 [] archim1246769320r_real(hAPP_real_real(uminus_uminus_real,hAPP_nat_real(real_nat,N_1)))=hAPP_int_int(uminus_uminus_int,hAPP_nat_int(semiri1621563631at_int,N_1)).
% 115.39/114.19  0 [] 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)))).
% 115.39/114.19  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),W_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_int_nat(nat,W_1)),M))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),hAPP_nat_int(semiri1621563631at_int,M))).
% 115.39/114.19  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),W_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_int_nat(nat,W_1)),M))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),hAPP_nat_int(semiri1621563631at_int,M))).
% 115.39/114.19  0 [] -hBOOL(hAPP_int_bool(P_1,hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,X_1),Y_2))))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_2),X_1))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_nat_int(semiri1621563631at_int,X_1)),hAPP_nat_int(semiri1621563631at_int,Y_2)))).
% 115.39/114.19  0 [] -hBOOL(hAPP_int_bool(P_1,hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,X_1),Y_2))))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_2))|hBOOL(hAPP_int_bool(P_1,zero_zero_int)).
% 115.39/114.19  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,X_1),Y_2))))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_2),X_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_2)).
% 115.39/114.19  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,X_1),Y_2))))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_2),X_1))| -hBOOL(hAPP_int_bool(P_1,zero_zero_int)).
% 115.39/114.19  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,X_1),Y_2))))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_nat_int(semiri1621563631at_int,X_1)),hAPP_nat_int(semiri1621563631at_int,Y_2))))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_2)).
% 115.39/114.19  0 [] hBOOL(hAPP_int_bool(P_1,hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,X_1),Y_2))))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_nat_int(semiri1621563631at_int,X_1)),hAPP_nat_int(semiri1621563631at_int,Y_2))))| -hBOOL(hAPP_int_bool(P_1,zero_zero_int)).
% 115.39/114.19  0 [] -hBOOL(hAPP_int_bool(zprime,Pa))| -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)))),Pa))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Aa),zero_zero_int),Pa))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),hAPP_i1948725293t_bool(sRStar,Pa)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(standardRes(Pa),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Aa),hAPP_int_int(multInv(Pa),X_1)))),hAPP_i1948725293t_bool(sRStar,Pa))).
% 115.39/114.19  0 [] hAPP_nat_int(semiri1621563631at_int,X_1)!=hAPP_nat_int(semiri1621563631at_int,Y_2)|X_1=Y_2.
% 115.39/114.19  0 [] hAPP_nat_int(semiri1621563631at_int,X_1)=hAPP_nat_int(semiri1621563631at_int,Y_2)|X_1!=Y_2.
% 115.39/114.19  0 [] -hBOOL(P_1)|hAPP_nat_int(semiri1621563631at_int,X_1)=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(hAPP_b992065680at_nat(if_nat,P_1),X_1),Y_2)).
% 115.39/114.19  0 [] hBOOL(P_1)|hAPP_nat_int(semiri1621563631at_int,Y_2)=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(hAPP_b992065680at_nat(if_nat,P_1),X_1),Y_2)).
% 115.39/114.19  0 [] hAPP_nat_int(semiri1621563631at_int,M)!=hAPP_nat_int(semiri1621563631at_int,N)|M=N.
% 115.39/114.19  0 [] hAPP_nat_int(semiri1621563631at_int,M)=hAPP_nat_int(semiri1621563631at_int,N)|M!=N.
% 115.39/114.19  0 [] hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,X),Y)=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,X),hAPP_complex_complex(uminus473333897omplex,Y)).
% 115.39/114.19  0 [] hAPP_real_real(norm_norm_real,R_3)=hAPP_real_real(abs_abs_real,R_3).
% 115.39/114.19  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),hAPP_i1948725293t_bool(sRStar,Pa)))|hAPP_int_int(standardRes(Pa),X_1)=X_1.
% 115.39/114.19  0 [] 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_1),A_2))),hAPP_complex_real(norm_norm_complex,B_1))),hAPP_complex_real(norm_norm_complex,A_2))).
% 115.39/114.19  0 [] 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))).
% 115.39/114.19  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),hAPP_i1948725293t_bool(sRStar,Pa)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),hAPP_i1948725293t_bool(sr,Pa))).
% 115.39/114.19  0 [] hAPP_i1948725293t_bool(sRStar,Pa)=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),Pa))).
% 115.39/114.19  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),hAPP_i1948725293t_bool(sRStar,Pa)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(X_1),zero_zero_int),Pa)).
% 115.39/114.19  0 [] hAPP_complex_real(norm_norm_complex,hAPP_real_complex(hAPP_r265291036omplex(complex,hAPP_real_real(cos,A_2)),hAPP_real_real(sin,A_2)))=one_one_real.
% 115.39/114.19  0 [] 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)))))).
% 115.39/114.19  0 [] -hBOOL(hAPP_int_bool(zprime,Pa))| -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)))),Pa))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),hAPP_i1948725293t_bool(sRStar,Pa)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(standardRes(Pa),X_1)),hAPP_i1948725293t_bool(sRStar,Pa))).
% 115.39/114.19  0 [] -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)))),Pa))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(standardRes(Pa),X_1)),hAPP_i1948725293t_bool(sRStar,Pa)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(X_1),zero_zero_int),Pa)).
% 115.39/114.19  0 [] -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)))),Pa))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(standardRes(Pa),X_1)),hAPP_i1948725293t_bool(sRStar,Pa)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(X_1),zero_zero_int),Pa)).
% 115.39/114.19  0 [] -hBOOL(hAPP_int_bool(zprime,Pa))| -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)))),Pa))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),hAPP_i1948725293t_bool(sRStar,Pa)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Y_2),hAPP_i1948725293t_bool(sRStar,Pa)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(standardRes(Pa),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_1),Y_2))),hAPP_i1948725293t_bool(sRStar,Pa))).
% 115.39/114.19  0 [] -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)))),Pa))| -hBOOL(hAPP_int_bool(zprime,Pa))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),hAPP_i1948725293t_bool(sRStar,Pa)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(standardRes(Pa),hAPP_int_int(multInv(Pa),X_1))),hAPP_i1948725293t_bool(sRStar,Pa))).
% 115.39/114.19  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X),zero_zero_int))|X=hAPP_int_int(uminus_uminus_int,hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(suc,$f308(X)))).
% 115.39/114.19  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),K_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),$f309(K_2))).
% 115.39/114.19  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),K_2))|K_2=hAPP_nat_int(semiri1621563631at_int,$f309(K_2)).
% 115.39/114.19  0 [] complex_size(hAPP_real_complex(hAPP_r265291036omplex(complex,Real1),Real2))=zero_zero_nat.
% 115.39/114.19  0 [] Y!=zero_zero_nat|bezw(X,Y)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,one_one_int),zero_zero_int).
% 115.39/114.19  0 [] 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))))).
% 115.39/114.19  0 [] bezw(X,zero_zero_nat)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,one_one_int),zero_zero_int).
% 115.39/114.19  0 [] -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))))).
% 115.39/114.19  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),K_2))|K_2=hAPP_nat_int(semiri1621563631at_int,$f310(K_2)).
% 115.39/114.19  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Z_1))|Z_1=hAPP_nat_int(semiri1621563631at_int,$f311(Z_1)).
% 115.39/114.19  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),K_2))|K_2=hAPP_nat_int(semiri1621563631at_int,$f312(K_2)).
% 115.39/114.19  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y),zero_zero_real))|hAPP_real_real(cos,arg(hAPP_real_complex(hAPP_r265291036omplex(complex,zero_zero_real),Y)))=zero_zero_real.
% 115.39/114.19  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Y))|hAPP_real_real(cos,arg(hAPP_real_complex(hAPP_r265291036omplex(complex,zero_zero_real),Y)))=zero_zero_real.
% 115.39/114.19  0 [] hAPP_nat_int(semiri1621563631at_int,hAPP_int_nat(nat,hAPP_int_int(abs_abs_int,X)))=hAPP_int_int(abs_abs_int,X).
% 115.39/114.19  0 [] Y=zero_zero_real|hAPP_real_real(cos,arg(hAPP_real_complex(hAPP_r265291036omplex(complex,zero_zero_real),Y)))=zero_zero_real.
% 115.39/114.19  0 [] hAPP_complex_nat(size_size_complex,hAPP_real_complex(hAPP_r265291036omplex(complex,Real1),Real2))=zero_zero_nat.
% 115.39/114.19  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),Pa))|hAPP_nat_int(semiri1621563631at_int,hAPP_f957591787ol_nat(finite_card_int,hAPP_i1948725293t_bool(sRStar,Pa)))=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Pa),one_one_int).
% 115.39/114.19  0 [] Z_1=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_nat_int(semiri1621563631at_int,$f314(Z_1))),hAPP_nat_int(semiri1621563631at_int,$f313(Z_1))).
% 115.39/114.19  0 [] -hBOOL(hAPP_int_bool(zprime,Pa))| -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)))),Pa))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Aa),zero_zero_int),Pa))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(quadRes,Pa),Aa))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(J),zero_zero_int),Pa))|hAPP_f957591787ol_nat(finite_card_int,hAPP_i1948725293t_bool(multInvPair(Aa,Pa),J))=hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))).
% 115.39/114.19  0 [] -hBOOL(hAPP_int_bool(zprime,Pa))| -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)))),Pa))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Aa),zero_zero_int),Pa))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(quadRes,Pa),Aa))| -hBOOL(hAPP_f215623910l_bool(hAPP_f628503027l_bool(member_fun_int_bool,X_2),setS(Aa,Pa)))|hAPP_f957591787ol_nat(finite_card_int,X_2)=hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))).
% 115.39/114.19  0 [] 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).
% 115.39/114.19  0 [] ii!=zero_zero_complex.
% 115.39/114.19  0 [] ii!=one_one_complex.
% 115.39/114.19  0 [] ii!=hAPP_int_complex(number528085621omplex,W).
% 115.39/114.19  0 [] hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,ii),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,ii),X))=hAPP_complex_complex(uminus473333897omplex,X).
% 115.39/114.19  0 [] hAPP_complex_complex(invers1449016382omplex,ii)=hAPP_complex_complex(uminus473333897omplex,ii).
% 115.39/114.19  0 [] ii=hAPP_real_complex(hAPP_r265291036omplex(complex,zero_zero_real),one_one_real).
% 115.39/114.19  0 [] hAPP_real_complex(hAPP_r265291036omplex(complex,X_1),Y_2)!=ii|X_1=zero_zero_real.
% 115.39/114.19  0 [] hAPP_real_complex(hAPP_r265291036omplex(complex,X_1),Y_2)!=ii|Y_2=one_one_real.
% 115.39/114.19  0 [] hAPP_real_complex(hAPP_r265291036omplex(complex,X_1),Y_2)=ii|X_1!=zero_zero_real|Y_2!=one_one_real.
% 115.39/114.19  0 [] hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_real_complex(hAPP_r265291036omplex(complex,A_2),B_1)),ii)=hAPP_real_complex(hAPP_r265291036omplex(complex,hAPP_real_real(uminus_uminus_real,B_1)),A_2).
% 115.39/114.19  0 [] hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,ii),hAPP_real_complex(hAPP_r265291036omplex(complex,A_2),B_1))=hAPP_real_complex(hAPP_r265291036omplex(complex,hAPP_real_real(uminus_uminus_real,B_1)),A_2).
% 115.39/114.19  0 [] hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,ii),ii)=hAPP_int_complex(number528085621omplex,min).
% 115.39/114.19  0 [] hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,ii),ii)=hAPP_complex_complex(uminus473333897omplex,one_one_complex).
% 115.39/114.19  0 [] -hBOOL(hAPP_int_bool(zprime,Pa))| -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)))),Pa))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Aa),zero_zero_int),Pa))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(quadRes,Pa),Aa))|hAPP_nat_int(semiri1621563631at_int,hAPP_f521865025ol_nat(finite1876863882t_bool,setS(Aa,Pa)))=hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Pa),one_one_int)),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))).
% 115.39/114.19  0 [] 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))))))))).
% 115.39/114.19  0 [] -hBOOL(hAPP_int_bool(zprime,Pa))| -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)))),Pa))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Aa),zero_zero_int),Pa))|comple219730294t_bool(setS(Aa,Pa))=hAPP_i1948725293t_bool(sRStar,Pa).
% 115.39/114.19  0 [] hAPP_real_complex(hAPP_r265291036omplex(complex,X_1),Y_2)!=of_real_complex(Xa_1)|X_1=Xa_1.
% 115.39/114.19  0 [] hAPP_real_complex(hAPP_r265291036omplex(complex,X_1),Y_2)!=of_real_complex(Xa_1)|Y_2=zero_zero_real.
% 115.39/114.19  0 [] hAPP_real_complex(hAPP_r265291036omplex(complex,X_1),Y_2)=of_real_complex(Xa_1)|X_1!=Xa_1|Y_2!=zero_zero_real.
% 115.39/114.19  0 [] of_real_complex(R_3)=hAPP_real_complex(hAPP_r265291036omplex(complex,R_3),zero_zero_real).
% 115.39/114.19  0 [] 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))).
% 115.39/114.19  0 [] hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_real_complex(hAPP_r265291036omplex(complex,X),Y)),of_real_complex(R_3))=hAPP_real_complex(hAPP_r265291036omplex(complex,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X),R_3)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Y),R_3)).
% 115.39/114.19  0 [] hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,of_real_complex(R_3)),hAPP_real_complex(hAPP_r265291036omplex(complex,X),Y))=hAPP_real_complex(hAPP_r265291036omplex(complex,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,R_3),X)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,R_3),Y)).
% 115.39/114.19  0 [] hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,of_real_complex(R_3)),hAPP_real_complex(hAPP_r265291036omplex(complex,X),Y))=hAPP_real_complex(hAPP_r265291036omplex(complex,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,R_3),X)),Y).
% 115.39/114.19  0 [] hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_real_complex(hAPP_r265291036omplex(complex,X),Y)),of_real_complex(R_3))=hAPP_real_complex(hAPP_r265291036omplex(complex,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X),R_3)),Y).
% 115.39/114.19  0 [] hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,ii),ii)=of_real_complex(hAPP_int_real(number267125858f_real,min)).
% 115.39/114.19  0 [] hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,ii),of_real_complex(R_3))=hAPP_real_complex(hAPP_r265291036omplex(complex,zero_zero_real),R_3).
% 115.39/114.19  0 [] hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,of_real_complex(R_3)),ii)=hAPP_real_complex(hAPP_r265291036omplex(complex,zero_zero_real),R_3).
% 115.39/114.19  0 [] of_real_complex(hAPP_real_real(uminus_uminus_real,one_one_real))=hAPP_complex_complex(uminus473333897omplex,one_one_complex).
% 115.39/114.19  0 [] hAPP_complex_real(norm_norm_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,of_real_complex(R_3)),hAPP_real_complex(hAPP_r265291036omplex(complex,hAPP_real_real(cos,A_2)),hAPP_real_real(sin,A_2))))=hAPP_real_real(abs_abs_real,R_3).
% 115.39/114.19  0 [] 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.
% 115.39/114.19  0 [] expi(hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_2),B_1))=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,expi(A_2)),expi(B_1)).
% 115.39/114.19  0 [] expi(zero_zero_complex)=one_one_complex.
% 115.39/114.19  0 [] Z_1=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,of_real_complex($f316(Z_1))),hAPP_real_complex(hAPP_r265291036omplex(complex,hAPP_real_real(cos,$f315(Z_1))),hAPP_real_real(sin,$f315(Z_1)))).
% 115.39/114.19  0 [] -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)))),Pa))|hBOOL(hAPP_f448129468l_bool(finite_finite_int,comple219730294t_bool(setS(Aa,Pa)))).
% 115.39/114.19  0 [] hBOOL(hAPP_f448129468l_bool(finite_finite_int,hAPP_i1948725293t_bool(wset(Aa),Pa))).
% 115.39/114.19  0 [] hBOOL(hAPP_f448129468l_bool(finite_finite_int,hAPP_i1948725293t_bool(d22set,Aa))).
% 115.39/114.19  0 [] -hBOOL(hAPP_f215623910l_bool(hAPP_f628503027l_bool(member_fun_int_bool,X_2),setS(Aa,Pa)))|hBOOL(hAPP_f448129468l_bool(finite_finite_int,X_2)).
% 115.39/114.19  0 [] -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)))),Pa))|hBOOL(hAPP_f448129468l_bool(finite_finite_int,hAPP_i1948725293t_bool(sRStar,Pa))).
% 115.39/114.19  0 [] -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)))),Pa))|hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,setS(Aa,Pa))).
% 115.39/114.19  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),$f317(F,Aa,Ba)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(F,Ba)),hAPP_real_real(F,Aa))).
% 115.39/114.19  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f317(F,Aa,Ba)),Ba))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(F,Ba)),hAPP_real_real(F,Aa))).
% 115.39/114.19  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba))| -hBOOL(hAPP_real_bool(deriv_real(F,$f317(F,Aa,Ba)),Y_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_1),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(F,Ba)),hAPP_real_real(F,Aa))).
% 115.39/114.19  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),$f318(F,Aa,Ba)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(F,Aa)),hAPP_real_real(F,Ba))).
% 115.39/114.19  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f318(F,Aa,Ba)),Ba))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(F,Aa)),hAPP_real_real(F,Ba))).
% 115.39/114.19  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba))| -hBOOL(hAPP_real_bool(deriv_real(F,$f318(F,Aa,Ba)),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,Aa)),hAPP_real_real(F,Ba))).
% 115.39/114.19  0 [] -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))))))).
% 115.39/114.19  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,Aa),Ba))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,Ba),Aa)).
% 115.39/114.19  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,Aa),Ba))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,Ba),Aa)).
% 115.39/114.19  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,D_3),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_2),B_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,D_3),B_1)).
% 115.39/114.19  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,D_3),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_2),B_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,D_3),A_2)).
% 115.39/114.19  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,D_3),A_2))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,D_3),B_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,D_3),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_2),B_1))).
% 115.39/114.19  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,D),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Aa),Ba)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,D),Aa)).
% 115.39/114.19  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,D),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Aa),Ba)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,D),Ba)).
% 115.39/114.19  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,D),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Aa),Ba)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,D),Aa))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,D),Ba)).
% 115.39/114.19  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,one_one_nat),A_2)).
% 115.39/114.19  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,A_2),one_one_nat)).
% 115.39/114.19  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,N),N))|N=one_one_nat.
% 115.39/114.19  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,N),N))|N!=one_one_nat.
% 115.39/114.19  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,A_2),B_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_2),N_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,B_1),N_1))).
% 115.39/114.19  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,D_3),A_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,D_3),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_2),N_1))).
% 115.39/114.19  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,hAPP_nat_nat(suc,zero_zero_nat)),A_2)).
% 115.39/114.19  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,A_2),hAPP_nat_nat(suc,zero_zero_nat))).
% 115.39/114.19  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,D),zero_zero_nat))|D=one_one_nat.
% 115.39/114.19  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,D),zero_zero_nat))|D!=one_one_nat.
% 115.39/114.19  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,zero_zero_nat),D))|D=one_one_nat.
% 115.39/114.19  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,zero_zero_nat),D))|D!=one_one_nat.
% 115.39/114.19  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_1),one_one_nat)),N_1)).
% 115.39/114.19  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,Aa),hAPP_nat_nat(suc,N))),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,Ba),hAPP_nat_nat(suc,N))))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,Aa),Ba)).
% 115.39/114.19  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,Aa),hAPP_nat_nat(suc,N))),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,Ba),hAPP_nat_nat(suc,N))))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,Aa),Ba)).
% 115.39/114.19  0 [] N_1=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_1),one_one_nat)),N_1)).
% 115.39/114.19  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,Aa),Ba))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Aa),$f320(Aa,Ba))),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Ba),$f319(Aa,Ba)))=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,Ba),$f320(Aa,Ba))),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Aa),$f319(Aa,Ba)))=one_one_nat.
% 115.39/114.19  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,Aa),Ba))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Aa),X_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Ba),Y_1))!=one_one_nat.
% 115.39/114.19  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,Aa),Ba))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Ba),X_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Aa),Y_1))!=one_one_nat.
% 115.39/114.19  0 [] 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)).
% 115.39/114.19  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,A_2),B_1))|B_1=one_one_nat|hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_2),$f322(A_2,B_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_1),$f321(A_2,B_1))),one_one_nat).
% 115.39/114.19  0 [] hAPP_nat_nat(nat_size,zero_zero_nat)=zero_zero_nat.
% 115.39/114.19  0 [] 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)).
% 115.39/114.19  0 [] Z_1=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,of_real_complex($f323(Z_1))),expi($f324(Z_1))).
% 115.39/114.19  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),M))| -hBOOL(hAPP_f448129468l_bool(resSet(M),X_3))|hBOOL(hAPP_f448129468l_bool(finite_finite_int,X_3)).
% 115.39/114.19  0 [] hAPP_nat_nat(size_size_nat,N_1)=N_1.
% 115.39/114.19  0 [] -hBOOL(hAPP_f448129468l_bool(resSet(M),X_3))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Y1),X_3))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Y2),X_3))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Y1),Y2),M))|Y1=Y2.
% 115.39/114.19  0 [] hBOOL(hAPP_f448129468l_bool(resSet(M),X_3))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f326(M,X_3)),X_3)).
% 115.39/114.19  0 [] hBOOL(hAPP_f448129468l_bool(resSet(M),X_3))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f325(M,X_3)),X_3)).
% 115.39/114.19  0 [] hBOOL(hAPP_f448129468l_bool(resSet(M),X_3))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong($f326(M,X_3)),$f325(M,X_3)),M)).
% 115.39/114.19  0 [] hBOOL(hAPP_f448129468l_bool(resSet(M),X_3))|$f326(M,X_3)!=$f325(M,X_3).
% 115.39/114.19  0 [] hAPP_nat_nat(size_size_nat,zero_zero_nat)=zero_zero_nat.
% 115.39/114.19  0 [] hBOOL(hAPP_f448129468l_bool(resSet(Pa),hAPP_i1948725293t_bool(sRStar,Pa))).
% 115.39/114.19  0 [] code_c271388182l_size(zero_z126310315umeral)=zero_zero_nat.
% 115.39/114.19  0 [] 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)))).
% 115.39/114.19  0 [] hAPP_complex_complex(cnj,of_real_complex(X))=of_real_complex(X).
% 115.39/114.19  0 [] 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)).
% 115.39/114.19  0 [] hAPP_complex_complex(cnj,hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,X),N_1))=hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,hAPP_complex_complex(cnj,X)),N_1).
% 115.39/114.19  0 [] hAPP_complex_complex(cnj,hAPP_nat_complex(semiri2020571505omplex,N_1))=hAPP_nat_complex(semiri2020571505omplex,N_1).
% 115.39/114.19  0 [] hAPP_complex_complex(cnj,one_one_complex)=one_one_complex.
% 115.39/114.19  0 [] 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)).
% 115.39/114.19  0 [] 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)).
% 115.39/114.19  0 [] hAPP_complex_complex(cnj,hAPP_int_complex(number528085621omplex,W))=hAPP_int_complex(number528085621omplex,W).
% 115.39/114.19  0 [] hAPP_complex_complex(cnj,zero_zero_complex)=zero_zero_complex.
% 115.39/114.19  0 [] hAPP_complex_complex(cnj,Z_2)!=zero_zero_complex|Z_2=zero_zero_complex.
% 115.39/114.19  0 [] hAPP_complex_complex(cnj,Z_2)=zero_zero_complex|Z_2!=zero_zero_complex.
% 115.39/114.19  0 [] hAPP_complex_complex(cnj,hAPP_complex_complex(cnj,Z_1))=Z_1.
% 115.39/114.19  0 [] hAPP_complex_complex(cnj,X_1)!=hAPP_complex_complex(cnj,Y_2)|X_1=Y_2.
% 115.39/114.19  0 [] hAPP_complex_complex(cnj,X_1)=hAPP_complex_complex(cnj,Y_2)|X_1!=Y_2.
% 115.39/114.19  0 [] hAPP_complex_complex(cnj,hAPP_complex_complex(invers1449016382omplex,X))=hAPP_complex_complex(invers1449016382omplex,hAPP_complex_complex(cnj,X)).
% 115.39/114.19  0 [] hAPP_complex_real(norm_norm_complex,hAPP_complex_complex(cnj,Z_1))=hAPP_complex_real(norm_norm_complex,Z_1).
% 115.39/114.19  0 [] 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)).
% 115.39/114.19  0 [] hAPP_complex_complex(cnj,hAPP_complex_complex(uminus473333897omplex,X))=hAPP_complex_complex(uminus473333897omplex,hAPP_complex_complex(cnj,X)).
% 115.39/114.19  0 [] hAPP_complex_complex(cnj,hAPP_real_complex(hAPP_r265291036omplex(complex,A_2),B_1))=hAPP_real_complex(hAPP_r265291036omplex(complex,A_2),hAPP_real_real(uminus_uminus_real,B_1)).
% 115.39/114.19  0 [] hAPP_complex_complex(cnj,ii)=hAPP_complex_complex(uminus473333897omplex,ii).
% 115.39/114.19  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),$c2)).
% 115.39/114.19  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_complex_real(norm_norm_complex,hAPP_complex_complex(cnj,X_2))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_complex_real(norm_norm_complex,X_2)),$c2))).
% 115.39/114.19  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),$c3)).
% 115.39/114.19  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_complex_real(norm_norm_complex,hAPP_complex_complex(cnj,X_2))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_complex_real(norm_norm_complex,X_2)),$c3))).
% 115.39/114.19  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_complex_real(norm_norm_complex,hAPP_complex_complex(cnj,X_2))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_complex_real(norm_norm_complex,X_2)),$c4))).
% 115.39/114.19  0 [] 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).
% 115.39/114.19  0 [] 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))).
% 115.39/114.19  0 [] 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)).
% 115.39/114.19  0 [] hAPP_complex_real(re,of_real_complex(Z_1))=Z_1.
% 115.39/114.19  0 [] 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))).
% 115.39/114.19  0 [] 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))).
% 115.39/114.19  0 [] code_S1047413653umeral(Code_numeral_5)!=code_S1047413653umeral(Code_numeral_4)|Code_numeral_5=Code_numeral_4.
% 115.39/114.19  0 [] code_S1047413653umeral(Code_numeral_5)=code_S1047413653umeral(Code_numeral_4)|Code_numeral_5!=Code_numeral_4.
% 115.39/114.19  0 [] X_1!=Y_2|hAPP_complex_real(re,X_1)=hAPP_complex_real(re,Y_2).
% 115.39/114.19  0 [] X_1!=Y_2|hAPP_complex_real(im,X_1)=hAPP_complex_real(im,Y_2).
% 115.39/114.19  0 [] X_1=Y_2|hAPP_complex_real(re,X_1)!=hAPP_complex_real(re,Y_2)|hAPP_complex_real(im,X_1)!=hAPP_complex_real(im,Y_2).
% 115.39/114.19  0 [] hAPP_complex_real(re,X)!=hAPP_complex_real(re,Y)|hAPP_complex_real(im,X)!=hAPP_complex_real(im,Y)|X=Y.
% 115.39/114.19  0 [] hAPP_real_complex(hAPP_r265291036omplex(complex,hAPP_complex_real(re,Z_1)),hAPP_complex_real(im,Z_1))=Z_1.
% 115.39/114.19  0 [] hAPP_complex_real(re,hAPP_real_complex(hAPP_r265291036omplex(complex,X),Y))=X.
% 115.39/114.19  0 [] hAPP_complex_real(im,hAPP_real_complex(hAPP_r265291036omplex(complex,X),Y))=Y.
% 115.39/114.19  0 [] 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))).
% 115.39/114.19  0 [] 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))).
% 115.39/114.19  0 [] 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))).
% 115.39/114.19  0 [] hAPP_complex_real(re,hAPP_complex_complex(cnj,X))=hAPP_complex_real(re,X).
% 115.39/114.19  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_complex_real(re,X)),hAPP_complex_real(norm_norm_complex,X))).
% 115.39/114.19  0 [] hAPP_complex_real(im,hAPP_complex_complex(cnj,X))=hAPP_real_real(uminus_uminus_real,hAPP_complex_real(im,X)).
% 115.39/114.19  0 [] hAPP_complex_real(re,ii)=zero_zero_real.
% 115.39/114.19  0 [] hAPP_complex_real(im,of_real_complex(Z_1))=zero_zero_real.
% 115.39/114.19  0 [] hAPP_complex_real(im,ii)=one_one_real.
% 115.39/114.19  0 [] code_S1047413653umeral(Code_numeral_3)!=zero_z126310315umeral.
% 115.39/114.19  0 [] zero_z126310315umeral!=code_S1047413653umeral(Code_numeral_2).
% 115.39/114.19  0 [] hAPP_complex_real(re,zero_zero_complex)=zero_zero_real.
% 115.39/114.19  0 [] hAPP_complex_real(im,zero_zero_complex)=zero_zero_real.
% 115.39/114.19  0 [] hAPP_complex_real(im,one_one_complex)=zero_zero_real.
% 115.39/114.19  0 [] 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)).
% 115.39/114.19  0 [] 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)).
% 115.39/114.19  0 [] hAPP_complex_real(re,one_one_complex)=one_one_real.
% 115.39/114.19  0 [] hAPP_complex_real(im,hAPP_int_complex(number528085621omplex,V_2))=zero_zero_real.
% 115.39/114.19  0 [] hAPP_complex_real(re,hAPP_complex_complex(uminus473333897omplex,X))=hAPP_real_real(uminus_uminus_real,hAPP_complex_real(re,X)).
% 115.39/114.19  0 [] hAPP_complex_real(re,hAPP_int_complex(number528085621omplex,V_2))=hAPP_int_real(number267125858f_real,V_2).
% 115.39/114.19  0 [] hAPP_complex_real(im,hAPP_complex_complex(uminus473333897omplex,X))=hAPP_real_real(uminus_uminus_real,hAPP_complex_real(im,X)).
% 115.39/114.19  0 [] 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)).
% 115.39/114.19  0 [] 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)).
% 115.39/114.19  0 [] 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)))).
% 115.39/114.19  0 [] hAPP_complex_real(im,hAPP_nat_complex(semiri2020571505omplex,N_1))=zero_zero_real.
% 115.39/114.19  0 [] hAPP_complex_real(re,hAPP_nat_complex(semiri2020571505omplex,N_1))=hAPP_nat_real(semiri132038758t_real,N_1).
% 115.39/114.19  0 [] 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))).
% 115.39/114.19  0 [] 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))).
% 115.39/114.19  0 [] hAPP_complex_real(im,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Z_1),hAPP_complex_complex(cnj,Z_1)))=zero_zero_real.
% 115.39/114.19  0 [] 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)).
% 115.39/114.19  0 [] 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)).
% 115.39/114.19  0 [] 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)))))).
% 115.39/114.19  0 [] 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)))))).
% 115.39/114.19  0 [] hAPP_C498520661umeral(hAPP_C1594335432umeral(minus_1690775515umeral,code_S1047413653umeral(N_1)),one_on1645066479umeral)=N_1.
% 115.39/114.19  0 [] 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)))))).
% 115.39/114.20  0 [] 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)))).
% 115.39/114.20  0 [] 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)))))).
% 115.39/114.20  0 [] 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))))))).
% 115.39/114.20  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),$c5)).
% 115.39/114.20  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(norm_norm_real,hAPP_complex_real(im,X_2))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_complex_real(norm_norm_complex,X_2)),$c5))).
% 115.39/114.20  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),$c6)).
% 115.39/114.20  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(norm_norm_real,hAPP_complex_real(re,X_2))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_complex_real(norm_norm_complex,X_2)),$c6))).
% 115.39/114.20  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),$c7)).
% 115.39/114.20  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(norm_norm_real,hAPP_complex_real(im,X_2))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_complex_real(norm_norm_complex,X_2)),$c7))).
% 115.39/114.20  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),$c8)).
% 115.39/114.20  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(norm_norm_real,hAPP_complex_real(re,X_2))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_complex_real(norm_norm_complex,X_2)),$c8))).
% 115.39/114.20  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(norm_norm_real,hAPP_complex_real(im,X_2))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_complex_real(norm_norm_complex,X_2)),$c9))).
% 115.39/114.20  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(norm_norm_real,hAPP_complex_real(re,X_2))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_complex_real(norm_norm_complex,X_2)),$c10))).
% 115.39/114.20  0 [] hAPP_C2129356693al_nat(size_s945831648umeral,code_S1047413653umeral(Code_numeral_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_C2129356693al_nat(size_s945831648umeral,Code_numeral_1)),hAPP_nat_nat(suc,zero_zero_nat)).
% 115.39/114.20  0 [] Y=zero_z126310315umeral|Y=code_S1047413653umeral($f327(Y)).
% 115.39/114.20  0 [] 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))).
% 115.39/114.20  0 [] hAPP_complex_real(re,cis(A_2))=hAPP_real_real(cos,A_2).
% 115.39/114.20  0 [] hAPP_complex_real(im,cis(A_2))=hAPP_real_real(sin,A_2).
% 115.39/114.20  0 [] hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,cis(A_2)),cis(B_1))=cis(hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_2),B_1)).
% 115.39/114.20  0 [] cis(zero_zero_real)=one_one_complex.
% 115.39/114.20  0 [] hAPP_complex_complex(invers1449016382omplex,cis(A_2))=cis(hAPP_real_real(uminus_uminus_real,A_2)).
% 115.39/114.20  0 [] hAPP_complex_complex(hAPP_c172932010omplex(invers1025623611omplex,cis(A_2)),cis(B_1))=cis(hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,A_2),B_1)).
% 115.39/114.20  0 [] cis(A_2)=hAPP_real_complex(hAPP_r265291036omplex(complex,hAPP_real_real(cos,A_2)),hAPP_real_real(sin,A_2)).
% 115.39/114.20  0 [] hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,cis(A_2)),N_1)=cis(hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N_1)),A_2)).
% 115.39/114.20  0 [] cis(hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,hAPP_nat_nat(suc,N_1))),A_2))=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,cis(A_2)),cis(hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N_1)),A_2))).
% 115.39/114.20  0 [] hAPP_C2129356693al_nat(size_s945831648umeral,zero_z126310315umeral)=zero_zero_nat.
% 115.39/114.20  0 [] hAPP_real_real(cos,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N_1)),A_2))=hAPP_complex_real(re,hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,cis(A_2)),N_1)).
% 115.39/114.20  0 [] hAPP_real_real(sin,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N_1)),A_2))=hAPP_complex_real(im,hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,cis(A_2)),N_1)).
% 115.39/114.20  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,N_1),M_1))|M_1=zero_zero_nat|M_1=N_1|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N_1)),M_1)).
% 115.39/114.20  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),X)).
% 115.39/114.20  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(suc,zero_zero_nat)),K_2)).
% 115.39/114.20  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D_3),A_2))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,E_1),B_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,A_2),B_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,D_3),E_1)).
% 115.39/114.20  0 [] -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_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,Y),N_1))).
% 115.39/114.20  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,zero_zero_nat),A_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_2),zero_zero_nat)).
% 115.39/114.20  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_2),zero_zero_nat)).
% 115.39/114.20  0 [] Aa=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Aa),zero_zero_nat)).
% 115.39/114.20  0 [] Aa=zero_zero_nat| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,zero_zero_nat),Aa)).
% 115.39/114.20  0 [] Aa!=zero_zero_nat| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Aa),zero_zero_nat))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,zero_zero_nat),Aa)).
% 115.39/114.20  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,zero_zero_nat),Aa))|Aa=zero_zero_nat.
% 115.39/114.20  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,zero_zero_nat),Aa))|Aa!=zero_zero_nat.
% 115.39/114.20  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,zero_zero_nat),A_2))|A_2=zero_zero_nat.
% 115.39/114.20  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_2),one_one_nat))|A_2=one_one_nat.
% 115.39/114.20  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Aa),one_one_nat))|Aa=one_one_nat.
% 115.39/114.20  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Aa),one_one_nat))|Aa!=one_one_nat.
% 115.39/114.20  0 [] Aa=one_one_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,one_one_nat),Aa)).
% 115.39/114.20  0 [] Aa=one_one_nat| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Aa),one_one_nat)).
% 115.39/114.20  0 [] Aa!=one_one_nat| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,one_one_nat),Aa))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Aa),one_one_nat)).
% 115.39/114.20  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,one_one_nat),A_2)).
% 115.39/114.20  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_2),one_one_nat))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,one_one_nat),A_2)).
% 115.39/114.20  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,M),one_one_nat))|M=one_one_nat.
% 115.39/114.20  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,M),one_one_nat))|M!=one_one_nat.
% 115.39/114.20  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_2),B_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_2),C_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_1),C_1))).
% 115.39/114.20  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_2),B_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_1),A_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_1),B_1))).
% 115.39/114.20  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D_3),A_2))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D_3),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_2),B_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D_3),B_1)).
% 115.39/114.20  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N),K_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_1),N)).
% 115.39/114.20  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N),K_1)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_1),N)).
% 115.39/114.20  0 [] X_1!=Y_2|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Y_2)).
% 115.39/114.20  0 [] X_1!=Y_2|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y_2),X_1)).
% 115.39/114.20  0 [] X_1=Y_2| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Y_2))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y_2),X_1)).
% 115.39/114.20  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Y_2))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y_2),X_1))|X_1=Y_2.
% 115.39/114.20  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Y_2))|X_1!=Y_2.
% 115.39/114.20  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Y_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y_2),X_1))|X_1!=Y_2.
% 115.39/114.20  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y_2),X_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Y_2))|X_1=Y_2.
% 115.39/114.20  0 [] A_2=B_1| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_2),B_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B_1),A_2)).
% 115.39/114.20  0 [] X!=Y|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Y)).
% 115.39/114.20  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y_2),X_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Y_2))|X_1=Y_2.
% 115.39/114.20  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y_2),X_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Y_2))|X_1!=Y_2.
% 115.39/114.20  0 [] -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.
% 115.39/114.20  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_2),B_1))|A_2=B_1| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B_1),A_2)).
% 115.39/114.20  0 [] A_2!=B_1| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B_1),C_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_2),C_1)).
% 115.39/114.20  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_2),B_1))|B_1!=C_1|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_2),C_1)).
% 115.39/114.20  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,M_1),N_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,N_1),M_1))|M_1=N_1.
% 115.39/114.20  0 [] -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.
% 115.39/114.20  0 [] -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)).
% 115.39/114.20  0 [] A_2!=B_1| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B_1),C_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,C_1),B_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_2),C_1)).
% 115.39/114.20  0 [] A_2!=B_1| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B_1),C_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,C_1),B_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,C_1),A_2)).
% 115.39/114.20  0 [] -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)).
% 115.39/114.20  0 [] -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,Z_1),X)).
% 115.39/114.20  0 [] -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.
% 115.39/114.20  0 [] -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.
% 115.39/114.20  0 [] -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.
% 115.39/114.20  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_2),B_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B_1),A_2))|B_1!=C_1|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_2),C_1)).
% 115.39/114.20  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_2),B_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B_1),A_2))|B_1!=C_1| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,C_1),A_2)).
% 115.39/114.20  0 [] -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)).
% 115.39/114.20  0 [] -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),X)).
% 115.39/114.20  0 [] -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)).
% 115.39/114.20  0 [] -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,Z_1),X)).
% 115.39/114.20  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Y_2))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y_2),X_1))|X_1=Y_2.
% 115.39/114.20  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Y_2))|X_1!=Y_2.
% 115.39/114.20  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y_2),X_1))|X_1!=Y_2.
% 115.39/114.20  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_2),M_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_2),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N_1))).
% 115.39/114.20  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,M),hAPP_nat_nat(suc,zero_zero_nat)))|M=hAPP_nat_nat(suc,zero_zero_nat).
% 115.39/114.20  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,M),hAPP_nat_nat(suc,zero_zero_nat)))|M!=hAPP_nat_nat(suc,zero_zero_nat).
% 115.39/114.20  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),M_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,N_1),M_1)).
% 115.39/114.20  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,M_1),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),M_1)).
% 115.39/114.20  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_2),B_1))|B_1=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_2),B_1)).
% 115.39/114.20  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,M_1),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1))|N_1=zero_zero_nat.
% 115.39/114.20  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),K_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N),K_1)))|K_1=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,M),N)).
% 115.39/114.20  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),K_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N),K_1)))|K_1!=zero_zero_nat.
% 115.39/114.20  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),K_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N),K_1)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,M),N)).
% 115.39/114.20  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),N)))|K_1=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,M),N)).
% 115.39/114.20  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),N)))|K_1!=zero_zero_nat.
% 115.39/114.20  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),N)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,M),N)).
% 115.39/114.20  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N_1)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_2),M_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),M_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_2),N_1)).
% 115.39/114.20  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N_1)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_2),N_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),M_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_2),M_1)).
% 115.39/114.20  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_2),N_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,B_1),N_1)))|N_1=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_2),B_1)).
% 115.39/114.20  0 [] N_1=zero_zero_nat| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X),N_1)),Y))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Y)).
% 115.39/114.20  0 [] 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,Aa),N)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,Ba),N)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Aa),Ba)).
% 115.39/114.20  0 [] 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,Aa),N)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,Ba),N)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Aa),Ba)).
% 115.39/114.20  0 [] -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_1)))).
% 115.39/114.20  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),M_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(fact_fact_nat,N_1)),hAPP_nat_nat(fact_fact_nat,M_1))).
% 115.39/114.20  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,M_1),R_3))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,N_1),R_3))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,M_1),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),N_1)),R_3)).
% 115.39/114.20  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D_3),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_2),B_1)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,D_3),A_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D_3),B_1)).
% 115.39/114.20  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,Aa),Ba))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D_2),Aa))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D_2),Ba))|D_2=one_one_nat.
% 115.39/114.20  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,Aa),Ba))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D_2),Aa))|D_2!=one_one_nat.
% 115.39/114.20  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,Aa),Ba))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D_2),Ba))|D_2!=one_one_nat.
% 115.39/114.20  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,Aa),Ba))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,$f328(Aa,Ba)),Aa))|$f328(Aa,Ba)=one_one_nat.
% 115.39/114.20  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,Aa),Ba))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,$f328(Aa,Ba)),Ba))|$f328(Aa,Ba)=one_one_nat.
% 115.39/114.20  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,Aa),Ba))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,$f328(Aa,Ba)),Aa))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,$f328(Aa,Ba)),Ba))|$f328(Aa,Ba)!=one_one_nat.
% 115.39/114.20  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_2),N_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_2),N_1)).
% 115.39/114.20  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_2),M_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_2),N_1)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,M_1),N_1)).
% 115.39/114.20  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),N)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,M),N)).
% 115.39/114.20  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),N)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,M),N)).
% 115.39/114.20  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,one_one_nat),M_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,M_1),hAPP_nat_nat(fact_fact_nat,N_1))).
% 115.39/114.20  0 [] 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_1)),R_3)| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),R_3))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,R_3),N_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,N_1),X)).
% 115.39/114.20  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),M))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N),M)),M))|N=one_one_nat.
% 115.39/114.20  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),M))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N),M)),M))|N!=one_one_nat.
% 115.39/114.20  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),M))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),N)),M))|N=one_one_nat.
% 115.39/114.20  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),M))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),N)),M))|N!=one_one_nat.
% 115.39/114.20  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,I),M_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,I),N_1)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),I))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1)).
% 115.39/114.20  0 [] -hBOOL(hAPP_nat_bool(even_odd_even_nat,N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N)).
% 115.39/114.20  0 [] hBOOL(hAPP_nat_bool(even_odd_even_nat,N))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N)).
% 115.39/114.20  0 [] -hBOOL(hAPP_nat_bool(even_odd_even_nat,X_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),X_1)).
% 115.39/114.20  0 [] hBOOL(hAPP_nat_bool(even_odd_even_nat,X_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),X_1)).
% 115.39/114.20  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),D_3))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D_3),N_1))|hAPP_nat_real(real_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,N_1),D_3))=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_nat_real(real_nat,N_1)),hAPP_nat_real(real_nat,D_3)).
% 115.39/114.20  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(F,$f329(N,N_5,F))),hAPP_nat_nat(F,hAPP_nat_nat(suc,$f329(N,N_5,F)))))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),N_5))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(F,N)),hAPP_nat_nat(F,N_5))).
% 115.39/114.20  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(F,$f330(N,M,F))),hAPP_nat_nat(F,hAPP_nat_nat(suc,$f330(N,M,F)))))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(F,hAPP_nat_nat(suc,$f330(N,M,F)))),hAPP_nat_nat(F,$f330(N,M,F))))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(F,N)),hAPP_nat_nat(F,M)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(F,M)),hAPP_nat_nat(F,N)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),M)).
% 115.39/114.20  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(F,$f330(N,M,F))),hAPP_nat_nat(F,hAPP_nat_nat(suc,$f330(N,M,F)))))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(F,hAPP_nat_nat(suc,$f330(N,M,F)))),hAPP_nat_nat(F,$f330(N,M,F))))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(F,N)),hAPP_nat_nat(F,M)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),M)).
% 115.39/114.20  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(F,$f330(N,M,F))),hAPP_nat_nat(F,hAPP_nat_nat(suc,$f330(N,M,F)))))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(F,hAPP_nat_nat(suc,$f330(N,M,F)))),hAPP_nat_nat(F,$f330(N,M,F))))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(F,M)),hAPP_nat_nat(F,N)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),M)).
% 115.39/114.20  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(F,$f331(N,N_5,F))),hAPP_nat_nat(F,hAPP_nat_nat(suc,$f331(N,N_5,F)))))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(F,hAPP_nat_nat(suc,$f331(N,N_5,F)))),hAPP_nat_nat(F,$f331(N,N_5,F))))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),N_5))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(F,N)),hAPP_nat_nat(F,N_5))).
% 115.39/114.20  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(F,$f331(N,N_5,F))),hAPP_nat_nat(F,hAPP_nat_nat(suc,$f331(N,N_5,F)))))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(F,hAPP_nat_nat(suc,$f331(N,N_5,F)))),hAPP_nat_nat(F,$f331(N,N_5,F))))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),N_5))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(F,N_5)),hAPP_nat_nat(F,N))).
% 115.39/114.21  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(abs_abs_int,D_3)),D_3)).
% 115.39/114.21  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D_3),hAPP_int_int(abs_abs_int,D_3))).
% 115.39/114.21  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,F_3),M_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,F_3),N_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,F_3),hAPP_int_int(div_mod_int(M_1),N_1))).
% 115.39/114.21  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_2),hAPP_int_int(div_mod_int(M_1),N_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_2),N_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_2),M_1)).
% 115.39/114.21  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A_2),B_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,B_1),A_2))|hAPP_int_int(abs_abs_int,A_2)=hAPP_int_int(abs_abs_int,B_1).
% 115.39/114.21  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_2),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,M_1),N_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_2),N_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_2),M_1)).
% 115.39/114.21  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),T))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(uminus_uminus_int,D)),T)).
% 115.39/114.21  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),T))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(uminus_uminus_int,D)),T)).
% 115.39/114.21  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),T))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),hAPP_int_int(uminus_uminus_int,T))).
% 115.39/114.21  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),T))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),hAPP_int_int(uminus_uminus_int,T))).
% 115.39/114.21  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),M_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,M_1),N_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,N_1),M_1)).
% 115.39/114.21  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),M_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),N_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,M_1),N_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,N_1),M_1))|M_1=N_1.
% 115.39/114.21  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,N_1),M_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,M_1),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,N_1),M_1)).
% 115.39/114.21  0 [] K_1=zero_zero_int| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,M),T))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),M)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),T))).
% 115.39/114.21  0 [] K_1=zero_zero_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,M),T))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),M)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),T))).
% 115.39/114.21  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_2),M_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_2),N_1)))|K_2=zero_zero_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,M_1),N_1)).
% 115.39/114.21  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,Aa),D))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,Aa),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_1),T)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,Aa),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_1),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),D))),T))).
% 115.39/114.21  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,Aa),D))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,Aa),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_1),T)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,Aa),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_1),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),D))),T))).
% 115.46/114.21  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_1),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,N),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),M))))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_1),N)).
% 115.46/114.21  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_1),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,N),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),M))))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_1),N)).
% 115.46/114.21  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Aa),zero_zero_int),M))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,M),Aa)).
% 115.46/114.21  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Aa),zero_zero_int),M))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,M),Aa)).
% 115.46/114.21  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(X_1),zero_zero_int),Pa))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,Pa),X_1)).
% 115.46/114.21  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(X_1),zero_zero_int),Pa))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,Pa),X_1)).
% 115.46/114.21  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(semiri1621563631at_int,X_1)),hAPP_nat_int(semiri1621563631at_int,Y_2)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Y_2)).
% 115.46/114.21  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(semiri1621563631at_int,X_1)),hAPP_nat_int(semiri1621563631at_int,Y_2)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Y_2)).
% 115.46/114.21  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Y_2))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(semiri1621563631at_int,X_1)),hAPP_nat_int(semiri1621563631at_int,Y_2))).
% 115.46/114.21  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Y_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(semiri1621563631at_int,X_1)),hAPP_nat_int(semiri1621563631at_int,Y_2))).
% 115.46/114.21  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_2),N_1)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,B_1),N_1)))|N_1=zero_zero_nat|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A_2),B_1)).
% 115.46/114.21  0 [] N=zero_zero_nat| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,Aa),N)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,Ba),N)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,Aa),Ba)).
% 115.46/114.21  0 [] N=zero_zero_nat|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,Aa),N)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,Ba),N)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,Aa),Ba)).
% 115.46/114.21  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,N_1),M_1))|hAPP_int_int(hAPP_int_fun_int_int(times_times_int,N_1),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,M_1),N_1))=M_1.
% 115.46/114.21  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X_1),one_one_int))|hAPP_int_int(abs_abs_int,X_1)=one_one_int.
% 115.46/114.21  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X_1),one_one_int))|hAPP_int_int(abs_abs_int,X_1)!=one_one_int.
% 115.46/114.21  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Aa),Ba),M))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,M),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Aa),Ba))).
% 115.46/114.21  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Aa),Ba),M))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,M),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Aa),Ba))).
% 115.46/114.21  0 [] hAPP_int_int(div_mod_int(X_1),N)!=hAPP_int_int(div_mod_int(Y_2),N)|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,N),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_1),Y_2))).
% 115.46/114.21  0 [] hAPP_int_int(div_mod_int(X_1),N)=hAPP_int_int(div_mod_int(Y_2),N)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,N),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_1),Y_2))).
% 115.46/114.21  0 [] -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_1),N_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_3),M_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_3),N_1)).
% 115.46/114.21  0 [] -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)).
% 115.46/114.21  0 [] -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_2),N_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_3),A_2)).
% 115.46/114.21  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,Z_1),N_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),N_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z_1),N_1)).
% 115.46/114.21  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_3),Y))|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_1))).
% 115.46/114.21  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),M_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,M_1),B_1))|hAPP_int_int(div_mod_int(hAPP_int_int(div_mod_int(A_2),B_1)),M_1)=hAPP_int_int(div_mod_int(A_2),M_1).
% 115.46/114.21  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(number_number_of_int,X_1)),hAPP_int_int(number_number_of_int,Y_2)))|hAPP_int_int(div_mod_int(hAPP_int_int(number_number_of_int,Y_2)),hAPP_int_int(number_number_of_int,X_1))=zero_zero_int.
% 115.46/114.21  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(number_number_of_int,X_1)),hAPP_int_int(number_number_of_int,Y_2)))|hAPP_int_int(div_mod_int(hAPP_int_int(number_number_of_int,Y_2)),hAPP_int_int(number_number_of_int,X_1))!=zero_zero_int.
% 115.46/114.21  0 [] 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))).
% 115.46/114.21  0 [] -hBOOL(hAPP_int_bool(zprime,P_3))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_3),B_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,P_3),N_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_2),B_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,P_3),N_1)),A_2)).
% 115.46/114.21  0 [] -hBOOL(hAPP_int_bool(zprime,P_3))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_3),A_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,P_3),N_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_2),B_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,P_3),N_1)),B_1)).
% 115.46/114.21  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y_2))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_int_nat(nat,X_1)),hAPP_int_nat(nat,Y_2)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X_1),Y_2)).
% 115.46/114.21  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_int_nat(nat,X_1)),hAPP_int_nat(nat,Y_2)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X_1),Y_2)).
% 115.46/114.21  0 [] M=zero_zero_int| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,M),N)),M))|hAPP_int_int(abs_abs_int,N)=one_one_int.
% 115.46/114.21  0 [] M=zero_zero_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,M),N)),M))|hAPP_int_int(abs_abs_int,N)!=one_one_int.
% 115.46/114.21  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),M_1))| -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_1),N_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_3),M_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_3),N_1)).
% 115.46/114.21  0 [] D_3=zero_zero_int| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D_3),N_1))|hAPP_int_real(real_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,N_1),D_3))=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_int_real(real_int,N_1)),hAPP_int_real(real_int,D_3)).
% 115.46/114.21  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,Z_2),hAPP_nat_int(semiri1621563631at_int,M)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_int_nat(nat,hAPP_int_int(abs_abs_int,Z_2))),M)).
% 115.46/114.21  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,Z_2),hAPP_nat_int(semiri1621563631at_int,M)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_int_nat(nat,hAPP_int_int(abs_abs_int,Z_2))),M)).
% 115.46/114.21  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(semiri1621563631at_int,M)),Z_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,M),hAPP_int_nat(nat,hAPP_int_int(abs_abs_int,Z_2)))).
% 115.46/114.21  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(semiri1621563631at_int,M)),Z_2))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,M),hAPP_int_nat(nat,hAPP_int_int(abs_abs_int,Z_2)))).
% 115.46/114.21  0 [] -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_1)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_3),Y)).
% 115.46/114.21  0 [] -hBOOL(hAPP_int_bool(zprime,Pa))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),Pa)).
% 115.46/114.21  0 [] -hBOOL(hAPP_int_bool(zprime,Pa))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),M_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,M_2),Pa))|M_2=one_one_int|M_2=Pa.
% 115.46/114.21  0 [] hBOOL(hAPP_int_bool(zprime,Pa))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),Pa))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),$f332(Pa))).
% 115.46/114.21  0 [] hBOOL(hAPP_int_bool(zprime,Pa))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),Pa))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,$f332(Pa)),Pa)).
% 115.46/114.21  0 [] hBOOL(hAPP_int_bool(zprime,Pa))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),Pa))|$f332(Pa)!=one_one_int.
% 115.46/114.21  0 [] hBOOL(hAPP_int_bool(zprime,Pa))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),Pa))|$f332(Pa)!=Pa.
% 115.46/114.21  0 [] -hBOOL(hAPP_int_bool(even_odd_even_int,X_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),X_1)).
% 115.46/114.21  0 [] hBOOL(hAPP_int_bool(even_odd_even_int,X_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),X_1)).
% 115.46/114.21  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_int_nat(nat,Z_2)),M))| -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,M))).
% 115.46/114.21  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_int_nat(nat,Z_2)),M))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Z_2))|M=zero_zero_nat.
% 115.46/114.21  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_int_nat(nat,Z_2)),M))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Z_2))|M!=zero_zero_nat.
% 115.46/114.21  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_int_nat(nat,Z_2)),M))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,Z_2),hAPP_nat_int(semiri1621563631at_int,M)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Z_2)).
% 115.46/114.21  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_int_nat(nat,Z_2)),M))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,Z_2),hAPP_nat_int(semiri1621563631at_int,M)))|M!=zero_zero_nat.
% 115.46/114.21  0 [] -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)).
% 115.46/114.21  0 [] 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)).
% 115.46/114.21  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_2))|hBOOL(hAPP_int_bool(zprime,$f333(A_2))).
% 115.46/114.21  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_2))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,$f333(A_2)),A_2)).
% 115.46/114.21  0 [] -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_1),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_1)).
% 115.46/114.21  0 [] one_on1684967323de_int=hAPP_i1732201573de_int(number1226105091de_int,hAPP_int_int(bit1,pls)).
% 115.46/114.21  0 [] K_2!=zero_z891286103de_int|quickcheck_int_of(K_2)=zero_zero_int.
% 115.46/114.21  0 [] 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)))))).
% 115.46/114.21  0 [] 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(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).
% 115.46/114.21  0 [] -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)).
% 115.46/114.21  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,N),M))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,quickcheck_int_of(N)),quickcheck_int_of(M))).
% 115.46/114.21  0 [] hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,N),M))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,quickcheck_int_of(N)),quickcheck_int_of(M))).
% 115.46/114.21  0 [] -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,N),M))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,quickcheck_int_of(N)),quickcheck_int_of(M))).
% 115.46/114.21  0 [] hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,N),M))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,quickcheck_int_of(N)),quickcheck_int_of(M))).
% 115.46/114.21  0 [] -hBOOL(hAPP_nat_bool(prime,one_one_nat)).
% 115.46/114.21  0 [] -hBOOL(hAPP_nat_bool(prime,zero_zero_nat)).
% 115.46/114.21  0 [] quickcheck_int_of(hAPP_i1732201573de_int(number1226105091de_int,K_2))=hAPP_int_int(number_number_of_int,K_2).
% 115.46/114.21  0 [] quickcheck_int_of(X_1)!=quickcheck_int_of(Y_2)|X_1=Y_2.
% 115.46/114.21  0 [] quickcheck_int_of(X_1)=quickcheck_int_of(Y_2)|X_1!=Y_2.
% 115.46/114.21  0 [] quickcheck_int_of(K_1)!=quickcheck_int_of(L)|K_1=L.
% 115.46/114.21  0 [] quickcheck_int_of(K_1)=quickcheck_int_of(L)|K_1!=L.
% 115.46/114.21  0 [] -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.
% 115.46/114.21  0 [] -hBOOL(hAPP_nat_bool(prime,hAPP_nat_nat(suc,zero_zero_nat))).
% 115.46/114.21  0 [] -hBOOL(hAPP_nat_bool(prime,P_3))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),P_3)).
% 115.46/114.21  0 [] -hBOOL(hAPP_nat_bool(prime,Pa))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Pa),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Aa),Ba)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Pa),Aa))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Pa),Ba)).
% 115.46/114.21  0 [] -hBOOL(hAPP_nat_bool(prime,Pa))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Pa),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Aa),Ba)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Pa),Aa)).
% 115.46/114.21  0 [] -hBOOL(hAPP_nat_bool(prime,Pa))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Pa),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Aa),Ba)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Pa),Ba)).
% 115.46/114.21  0 [] -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_2),B_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,P_3),A_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,P_3),B_1)).
% 115.46/114.21  0 [] -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_1),N_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,P_3),M_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,P_3),N_1)).
% 115.46/114.21  0 [] -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.
% 115.46/114.21  0 [] -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_2),N_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,P_3),A_2)).
% 115.46/114.21  0 [] -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_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,P_3),X)).
% 115.46/114.21  0 [] -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_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,P_3),N_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X),N_1))).
% 115.46/114.21  0 [] -hBOOL(hAPP_nat_bool(prime,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,Pa),N)))|hBOOL(hAPP_nat_bool(prime,Pa)).
% 115.46/114.21  0 [] -hBOOL(hAPP_nat_bool(prime,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,Pa),N)))|N=one_one_nat.
% 115.46/114.21  0 [] hBOOL(hAPP_nat_bool(prime,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,Pa),N)))| -hBOOL(hAPP_nat_bool(prime,Pa))|N!=one_one_nat.
% 115.46/114.21  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,A_2),B_1))| -hBOOL(hAPP_nat_bool(prime,P_3))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,P_3),A_2))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,P_3),B_1)).
% 115.46/114.21  0 [] -hBOOL(hAPP_nat_bool(prime,P_3))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,P_3),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,P_3),N_1)).
% 115.46/114.21  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,Aa),Ba))| -hBOOL(hAPP_nat_bool(prime,P_4))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,P_4),Aa))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,P_4),Ba)).
% 115.46/114.21  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,Aa),Ba))|hBOOL(hAPP_nat_bool(prime,$f334(Aa,Ba))).
% 115.46/114.21  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,Aa),Ba))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,$f334(Aa,Ba)),Aa)).
% 115.46/114.21  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,Aa),Ba))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,$f334(Aa,Ba)),Ba)).
% 115.46/114.21  0 [] -hBOOL(hAPP_nat_bool(prime,A_2))|hBOOL(hAPP_int_bool(zprime,hAPP_nat_int(semiri1621563631at_int,A_2))).
% 115.46/114.21  0 [] zero_z891286103de_int=hAPP_i1732201573de_int(number1226105091de_int,pls).
% 115.46/114.21  0 [] -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)).
% 115.46/114.21  0 [] -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))).
% 115.46/114.21  0 [] -hBOOL(hAPP_nat_bool(prime,P_3))|N_1=zero_zero_nat|N_1!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,P_3),M_1)|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1)).
% 115.46/114.21  0 [] -hBOOL(hAPP_nat_bool(prime,Pa))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),Pa)).
% 115.46/114.21  0 [] -hBOOL(hAPP_nat_bool(prime,Pa))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,M_2),Pa))|M_2=one_one_nat|M_2=Pa.
% 115.46/114.21  0 [] hBOOL(hAPP_nat_bool(prime,Pa))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),Pa))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,$f335(Pa)),Pa)).
% 115.46/114.21  0 [] hBOOL(hAPP_nat_bool(prime,Pa))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),Pa))|$f335(Pa)!=one_one_nat.
% 115.46/114.21  0 [] hBOOL(hAPP_nat_bool(prime,Pa))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),Pa))|$f335(Pa)!=Pa.
% 115.46/114.21  0 [] -hBOOL(hAPP_nat_bool(prime,Pa))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,Pa),K_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,$f336(D,K_1,Pa)),K_1)).
% 115.46/114.21  0 [] -hBOOL(hAPP_nat_bool(prime,Pa))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,Pa),K_1)))|D=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,Pa),$f336(D,K_1,Pa)).
% 115.46/114.21  0 [] -hBOOL(hAPP_nat_bool(prime,Pa))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,Pa),K_1)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),K_1))|D!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,Pa),I_2).
% 115.46/114.21  0 [] -hBOOL(hAPP_nat_bool(prime,P_3))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,P_3),B_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,P_3),N_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_2),B_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,P_3),N_1)),A_2)).
% 115.46/114.21  0 [] -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)).
% 115.46/114.21  0 [] -hBOOL(hAPP_nat_bool(prime,P_3))|N_1=one_one_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,P_3),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,P_3),N_1)).
% 115.46/114.21  0 [] hBOOL(hAPP_nat_bool(prime,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))).
% 115.46/114.21  0 [] -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_1),hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat)))))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,P_3),M_1)).
% 115.46/114.21  0 [] -hBOOL(hAPP_nat_bool(prime,P_3))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,A_2),B_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,P_3),N_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_2),B_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,P_3),N_1)),A_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,P_3),N_1)),B_1)).
% 115.46/114.21  0 [] -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)).
% 115.46/114.22  0 [] -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)).
% 115.46/114.22  0 [] quickc495462417de_int(N_1,M_1)=hAPP_Q1256397320de_int(hAPP_Q952608535de_int(produc1318306967de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,N_1),M_1)),hAPP_Q1762011733de_int(div_mo231679042de_int(N_1),M_1)).
% 115.46/114.22  0 [] quickcheck_nat_of(I)=hAPP_int_nat(nat,quickcheck_int_of(I)).
% 115.46/114.22  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,X),Y))|hBOOL(hAPP_nat_bool(prime,$f337(X,Y))).
% 115.46/114.22  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,X),Y))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,$f337(X,Y)),X)).
% 115.46/114.22  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,X),Y))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,$f337(X,Y)),Y)).
% 115.46/114.22  0 [] -hBOOL(hAPP_nat_bool(prime,P_3))|N_1=zero_zero_nat|hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X),N_1)!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,P_3),K_2)|X=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,P_3),$f338(X,K_2,N_1,P_3)).
% 115.46/114.22  0 [] N_1=one_one_nat|hBOOL(hAPP_nat_bool(prime,$f339(N_1))).
% 115.46/114.22  0 [] N_1=one_one_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,$f339(N_1)),N_1)).
% 115.46/114.22  0 [] -hBOOL(hAPP_nat_bool(prime,P_3))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,P_3),A_2))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_2),$f341(A_2,P_3))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,P_3),$f340(A_2,P_3))),one_one_nat).
% 115.46/114.22  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),N_1))|hBOOL(hAPP_nat_bool(prime,N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),$f343(N_1))).
% 115.46/114.22  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),N_1))|hBOOL(hAPP_nat_bool(prime,N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),$f342(N_1))).
% 115.46/114.22  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),N_1))|hBOOL(hAPP_nat_bool(prime,N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f343(N_1)),N_1)).
% 115.46/114.22  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),N_1))|hBOOL(hAPP_nat_bool(prime,N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f342(N_1)),N_1)).
% 115.46/114.22  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),N_1))|hBOOL(hAPP_nat_bool(prime,N_1))|N_1=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,$f343(N_1)),$f342(N_1)).
% 115.46/114.22  0 [] hBOOL(hAPP_nat_bool(prime,$f344(N_1))).
% 115.46/114.22  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),$f344(N_1))).
% 115.46/114.22  0 [] -hBOOL(hAPP_int_bool(accp_int(quickc1265749348ro_rel),A0))|hBOOL(hAPP_int_bool(accp_int(quickc1265749348ro_rel),$f345(P_1,A0)))|hBOOL(hAPP_int_bool(P_1,A0)).
% 115.46/114.22  0 [] -hBOOL(hAPP_int_bool(accp_int(quickc1265749348ro_rel),A0))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f345(P_1,A0)),zero_zero_int))|$f345(P_1,A0)=zero_zero_int|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f345(P_1,A0)),one_one_int)))|hBOOL(hAPP_int_bool(P_1,A0)).
% 115.46/114.22  0 [] -hBOOL(hAPP_int_bool(accp_int(quickc1265749348ro_rel),A0))| -hBOOL(hAPP_int_bool(P_1,$f345(P_1,A0)))|hBOOL(hAPP_int_bool(P_1,A0)).
% 115.46/114.22  0 [] hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,rcis(R_3,A_2)),N_1)=rcis(hAPP_nat_real(hAPP_r474017924t_real(power_power_real,R_3),N_1),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N_1)),A_2)).
% 115.46/114.22  0 [] -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))).
% 115.46/114.22  0 [] 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.
% 115.46/114.22  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,M_1),N_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(fact_fact_int,M_1)),hAPP_int_int(fact_fact_int,N_1))).
% 115.46/114.22  0 [] hAPP_int_int(fact_fact_int,one_one_int)=one_one_int.
% 115.46/114.22  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,M_1),zero_zero_int))|hAPP_int_int(fact_fact_int,M_1)=zero_zero_int.
% 115.46/114.22  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),M_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,M_1),N_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(fact_fact_int,M_1)),hAPP_int_int(fact_fact_int,N_1))).
% 115.46/114.22  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(fact_fact_int,M_1))).
% 115.46/114.22  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),N_1))|hAPP_int_int(fact_fact_int,N_1)!=zero_zero_int.
% 115.46/114.22  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(fact_fact_int,X))).
% 115.46/114.22  0 [] hAPP_int_int(fact_fact_int,zero_zero_int)=one_one_int.
% 115.46/114.22  0 [] hAPP_int_int(fact_fact_int,hAPP_nat_int(semiri1621563631at_int,X))=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(fact_fact_nat,X)).
% 115.46/114.22  0 [] rcis(R_3,zero_zero_real)=of_real_complex(R_3).
% 115.46/114.22  0 [] hAPP_complex_real(norm_norm_complex,rcis(R_3,A_2))=hAPP_real_real(abs_abs_real,R_3).
% 115.46/114.22  0 [] cis(A_2)=rcis(one_one_real,A_2).
% 115.46/114.22  0 [] rcis(zero_zero_real,A_2)=zero_zero_complex.
% 115.46/114.22  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),N_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(fact_fact_int,N_1))).
% 115.46/114.22  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),N_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),hAPP_int_int(fact_fact_int,N_1))).
% 115.46/114.22  0 [] -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_1)),hAPP_int_int(fact_fact_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,M_1),K_2)))).
% 115.46/114.22  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),M_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,M_1),N_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,M_1),hAPP_int_int(fact_fact_int,N_1))).
% 115.46/114.22  0 [] hAPP_complex_real(re,rcis(R_3,A_2))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,R_3),hAPP_real_real(cos,A_2)).
% 115.46/114.22  0 [] hAPP_complex_real(im,rcis(R_3,A_2))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,R_3),hAPP_real_real(sin,A_2)).
% 115.46/114.22  0 [] hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,rcis(R1,A_2)),rcis(R2,B_1))=rcis(hAPP_real_real(hAPP_r1250527377l_real(times_times_real,R1),R2),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_2),B_1)).
% 115.46/114.22  0 [] -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)).
% 115.46/114.22  0 [] hAPP_complex_complex(hAPP_c172932010omplex(invers1025623611omplex,rcis(R1,A_2)),rcis(R2,B_1))=rcis(hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,R1),R2),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,A_2),B_1)).
% 115.46/114.22  0 [] rcis(R_3,A_2)=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,of_real_complex(R_3)),cis(A_2)).
% 115.46/114.22  0 [] -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_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(fact_fact_int,M_1)),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_1),one_one_int)),K_2)))).
% 115.46/114.22  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),N_1))|hAPP_int_int(fact_fact_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,N_1),one_one_int))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,N_1),one_one_int)),hAPP_int_int(fact_fact_int,N_1)).
% 115.46/114.22  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),N_1))|hAPP_int_int(fact_fact_int,N_1)=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,N_1),hAPP_int_int(fact_fact_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,N_1),one_one_int))).
% 115.46/114.22  0 [] hAPP_complex_complex(invers1449016382omplex,rcis(R_3,A_2))=rcis(hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,one_one_real),R_3),hAPP_real_real(uminus_uminus_real,A_2)).
% 115.46/114.22  0 [] -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).
% 115.46/114.22  0 [] -hBOOL(hAPP_int_bool(zprime,Pa))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),Pa))|hAPP_f957591787ol_nat(finite_card_int,hAPP_i1948725293t_bool(bnorRset(Aa),Pa))=hAPP_int_nat(nat,Aa).
% 115.46/114.22  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Ba),hAPP_i1948725293t_bool(bnorRset(Aa),M)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Ba),Aa)).
% 115.46/114.22  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),Ba))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Ba),hAPP_i1948725293t_bool(bnorRset(Aa),M))).
% 115.46/114.22  0 [] hBOOL(hAPP_f448129468l_bool(finite_finite_int,hAPP_i1948725293t_bool(bnorRset(Aa),M))).
% 115.46/114.22  0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Ba),hAPP_i1948725293t_bool(bnorRset(Aa),M)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Ba)).
% 115.46/114.22  0 [] hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,$f348(Aa,Ba,P_1)),$f347(Aa,Ba,P_1))))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D_2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f350(Aa,Ba,P_1,D_2)),$f351(Aa,Ba,P_1)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba))|hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,Aa),Ba))).
% 115.46/114.22  0 [] hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,$f348(Aa,Ba,P_1)),$f347(Aa,Ba,P_1))))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D_2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f351(Aa,Ba,P_1)),$f349(Aa,Ba,P_1,D_2)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba))|hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,Aa),Ba))).
% 115.46/114.22  0 [] hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,$f348(Aa,Ba,P_1)),$f347(Aa,Ba,P_1))))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D_2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,$f349(Aa,Ba,P_1,D_2)),$f350(Aa,Ba,P_1,D_2))),D_2))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba))|hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,Aa),Ba))).
% 115.46/114.22  0 [] hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,$f348(Aa,Ba,P_1)),$f347(Aa,Ba,P_1))))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D_2))| -hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,$f350(Aa,Ba,P_1,D_2)),$f349(Aa,Ba,P_1,D_2))))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba))|hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,Aa),Ba))).
% 115.46/114.22  0 [] hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,$f347(Aa,Ba,P_1)),$f346(Aa,Ba,P_1))))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D_2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f350(Aa,Ba,P_1,D_2)),$f351(Aa,Ba,P_1)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba))|hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,Aa),Ba))).
% 115.46/114.22  0 [] hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,$f347(Aa,Ba,P_1)),$f346(Aa,Ba,P_1))))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D_2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f351(Aa,Ba,P_1)),$f349(Aa,Ba,P_1,D_2)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba))|hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,Aa),Ba))).
% 115.46/114.22  0 [] hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,$f347(Aa,Ba,P_1)),$f346(Aa,Ba,P_1))))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D_2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,$f349(Aa,Ba,P_1,D_2)),$f350(Aa,Ba,P_1,D_2))),D_2))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba))|hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,Aa),Ba))).
% 115.46/114.22  0 [] hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,$f347(Aa,Ba,P_1)),$f346(Aa,Ba,P_1))))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D_2))| -hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,$f350(Aa,Ba,P_1,D_2)),$f349(Aa,Ba,P_1,D_2))))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba))|hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,Aa),Ba))).
% 115.46/114.22  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f348(Aa,Ba,P_1)),$f347(Aa,Ba,P_1)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D_2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f350(Aa,Ba,P_1,D_2)),$f351(Aa,Ba,P_1)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba))|hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,Aa),Ba))).
% 115.46/114.22  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f348(Aa,Ba,P_1)),$f347(Aa,Ba,P_1)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D_2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f351(Aa,Ba,P_1)),$f349(Aa,Ba,P_1,D_2)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba))|hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,Aa),Ba))).
% 115.46/114.22  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f348(Aa,Ba,P_1)),$f347(Aa,Ba,P_1)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D_2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,$f349(Aa,Ba,P_1,D_2)),$f350(Aa,Ba,P_1,D_2))),D_2))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba))|hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,Aa),Ba))).
% 115.46/114.22  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f348(Aa,Ba,P_1)),$f347(Aa,Ba,P_1)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D_2))| -hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,$f350(Aa,Ba,P_1,D_2)),$f349(Aa,Ba,P_1,D_2))))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba))|hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,Aa),Ba))).
% 115.46/114.22  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f347(Aa,Ba,P_1)),$f346(Aa,Ba,P_1)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D_2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f350(Aa,Ba,P_1,D_2)),$f351(Aa,Ba,P_1)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba))|hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,Aa),Ba))).
% 115.46/114.22  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f347(Aa,Ba,P_1)),$f346(Aa,Ba,P_1)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D_2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f351(Aa,Ba,P_1)),$f349(Aa,Ba,P_1,D_2)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba))|hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,Aa),Ba))).
% 115.46/114.22  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f347(Aa,Ba,P_1)),$f346(Aa,Ba,P_1)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D_2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,$f349(Aa,Ba,P_1,D_2)),$f350(Aa,Ba,P_1,D_2))),D_2))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba))|hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,Aa),Ba))).
% 115.46/114.22  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f347(Aa,Ba,P_1)),$f346(Aa,Ba,P_1)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D_2))| -hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,$f350(Aa,Ba,P_1,D_2)),$f349(Aa,Ba,P_1,D_2))))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba))|hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,Aa),Ba))).
% 115.46/114.22  0 [] -hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,$f348(Aa,Ba,P_1)),$f346(Aa,Ba,P_1))))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D_2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f350(Aa,Ba,P_1,D_2)),$f351(Aa,Ba,P_1)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba))|hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,Aa),Ba))).
% 115.46/114.22  0 [] -hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,$f348(Aa,Ba,P_1)),$f346(Aa,Ba,P_1))))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D_2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f351(Aa,Ba,P_1)),$f349(Aa,Ba,P_1,D_2)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba))|hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,Aa),Ba))).
% 115.46/114.22  0 [] -hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,$f348(Aa,Ba,P_1)),$f346(Aa,Ba,P_1))))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D_2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,$f349(Aa,Ba,P_1,D_2)),$f350(Aa,Ba,P_1,D_2))),D_2))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba))|hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,Aa),Ba))).
% 115.46/114.22  0 [] -hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,$f348(Aa,Ba,P_1)),$f346(Aa,Ba,P_1))))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D_2))| -hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,$f350(Aa,Ba,P_1,D_2)),$f349(Aa,Ba,P_1,D_2))))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba))|hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,Aa),Ba))).
% 115.46/114.22  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f354(P_1)),$f353(P_1)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D_2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f356(P_1,D_2)),$f357(P_1)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_1),B_3))|hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,A_1),B_3))).
% 115.46/114.22  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f354(P_1)),$f353(P_1)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D_2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f357(P_1)),$f355(P_1,D_2)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_1),B_3))|hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,A_1),B_3))).
% 115.46/114.22  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f354(P_1)),$f353(P_1)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D_2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,$f355(P_1,D_2)),$f356(P_1,D_2))),D_2))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_1),B_3))|hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,A_1),B_3))).
% 115.46/114.22  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f354(P_1)),$f353(P_1)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D_2))| -hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,$f356(P_1,D_2)),$f355(P_1,D_2))))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_1),B_3))|hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,A_1),B_3))).
% 115.46/114.22  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f353(P_1)),$f352(P_1)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D_2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f356(P_1,D_2)),$f357(P_1)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_1),B_3))|hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,A_1),B_3))).
% 115.46/114.22  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f353(P_1)),$f352(P_1)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D_2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f357(P_1)),$f355(P_1,D_2)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_1),B_3))|hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,A_1),B_3))).
% 115.46/114.22  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f353(P_1)),$f352(P_1)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D_2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,$f355(P_1,D_2)),$f356(P_1,D_2))),D_2))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_1),B_3))|hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,A_1),B_3))).
% 115.46/114.22  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f353(P_1)),$f352(P_1)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D_2))| -hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,$f356(P_1,D_2)),$f355(P_1,D_2))))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_1),B_3))|hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,A_1),B_3))).
% 115.46/114.22  0 [] hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,$f354(P_1)),$f353(P_1))))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D_2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f356(P_1,D_2)),$f357(P_1)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_1),B_3))|hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,A_1),B_3))).
% 115.46/114.22  0 [] hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,$f354(P_1)),$f353(P_1))))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D_2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f357(P_1)),$f355(P_1,D_2)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_1),B_3))|hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,A_1),B_3))).
% 115.46/114.22  0 [] hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,$f354(P_1)),$f353(P_1))))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D_2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,$f355(P_1,D_2)),$f356(P_1,D_2))),D_2))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_1),B_3))|hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,A_1),B_3))).
% 115.46/114.22  0 [] hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,$f354(P_1)),$f353(P_1))))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D_2))| -hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,$f356(P_1,D_2)),$f355(P_1,D_2))))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_1),B_3))|hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,A_1),B_3))).
% 115.46/114.22  0 [] hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,$f353(P_1)),$f352(P_1))))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D_2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f356(P_1,D_2)),$f357(P_1)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_1),B_3))|hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,A_1),B_3))).
% 115.46/114.22  0 [] hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,$f353(P_1)),$f352(P_1))))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D_2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f357(P_1)),$f355(P_1,D_2)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_1),B_3))|hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,A_1),B_3))).
% 115.46/114.22  0 [] hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,$f353(P_1)),$f352(P_1))))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D_2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,$f355(P_1,D_2)),$f356(P_1,D_2))),D_2))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_1),B_3))|hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,A_1),B_3))).
% 115.46/114.22  0 [] hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,$f353(P_1)),$f352(P_1))))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D_2))| -hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,$f356(P_1,D_2)),$f355(P_1,D_2))))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_1),B_3))|hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,A_1),B_3))).
% 115.46/114.22  0 [] -hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,$f354(P_1)),$f352(P_1))))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D_2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f356(P_1,D_2)),$f357(P_1)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_1),B_3))|hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,A_1),B_3))).
% 115.46/114.22  0 [] -hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,$f354(P_1)),$f352(P_1))))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D_2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f357(P_1)),$f355(P_1,D_2)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_1),B_3))|hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,A_1),B_3))).
% 115.46/114.22  0 [] -hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,$f354(P_1)),$f352(P_1))))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D_2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,$f355(P_1,D_2)),$f356(P_1,D_2))),D_2))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_1),B_3))|hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,A_1),B_3))).
% 115.46/114.22  0 [] -hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,$f354(P_1)),$f352(P_1))))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D_2))| -hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,$f356(P_1,D_2)),$f355(P_1,D_2))))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_1),B_3))|hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,A_1),B_3))).
% 115.46/114.22  0 [] 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)).
% 115.46/114.22  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,M_1),N_1)),N_1)).
% 115.46/114.22  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,M_1),N_1)),M_1)).
% 115.46/114.22  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,M_1),N_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_2),N_1))).
% 115.46/114.22  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_2),B_1)!=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_2),N_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,B_1),M_1))=one_one_nat.
% 115.46/114.22  0 [] B_1=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_2),B_1)),B_1)).
% 115.46/114.22  0 [] A_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_2),B_1)),A_2)).
% 115.46/114.22  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,M_1),hAPP_nat_nat(suc,zero_zero_nat))=hAPP_nat_nat(suc,zero_zero_nat).
% 115.46/114.22  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,M),N)))|M!=zero_zero_nat|N!=zero_zero_nat.
% 115.46/114.22  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,M),N)))|M=zero_zero_nat.
% 115.46/114.22  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,M),N)))|N=zero_zero_nat.
% 115.46/114.22  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_2),N_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,B_1),N_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_2),B_1)),N_1).
% 115.46/114.22  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_2),A_2)=A_2.
% 115.46/114.22  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,X),X)=X.
% 115.46/114.22  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_2),B_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,B_1),A_2).
% 115.46/114.22  0 [] 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).
% 115.46/114.22  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_2),B_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_2),B_1).
% 115.46/114.22  0 [] 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).
% 115.46/114.22  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,B_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_2),C_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,B_1),C_1)).
% 115.46/114.22  0 [] 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)).
% 115.46/114.22  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_2),B_1)),C_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,B_1),C_1)).
% 115.46/114.22  0 [] 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)).
% 115.46/114.22  0 [] 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_1),N_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_2),M_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_2),N_1)).
% 115.46/114.22  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N_1)),N_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,M_1),N_1).
% 115.46/114.22  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,M_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,M_1),N_1).
% 115.46/114.22  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B_1),X))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),B_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_2),B_1)),X)).
% 115.46/114.22  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B_1),X))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),B_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_2),B_1))).
% 115.46/114.22  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_2),X))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),A_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_2),B_1)),X)).
% 115.46/114.22  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_2),X))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),A_2))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_2),B_1))).
% 115.46/114.22  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_2),B_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),A_2)).
% 115.46/114.22  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_2),B_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),B_1)).
% 115.46/114.22  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,M_1),N_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_2),N_1)).
% 115.46/114.22  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,M_1),N_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_2),M_1)).
% 115.46/114.22  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_2),C_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B_1),D_3))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_2),B_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,C_1),D_3))).
% 115.46/114.23  0 [] -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))).
% 115.46/114.23  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),A_2))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),B_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_2),B_1))).
% 115.46/114.23  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_2),M_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_2),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,M_1),N_1))).
% 115.46/114.23  0 [] -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.
% 115.46/114.23  0 [] -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.
% 115.46/114.23  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B_1),X))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_2),B_1)),X)).
% 115.46/114.23  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_2),X))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_2),B_1)),X)).
% 115.46/114.23  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D),Aa))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D),Ba))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,$f358(Ba,D,Aa)),Aa))|D=hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,Aa),Ba).
% 115.46/114.23  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D),Aa))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D),Ba))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,$f358(Ba,D,Aa)),Ba))|D=hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,Aa),Ba).
% 115.46/114.23  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D),Aa))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D),Ba))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,$f358(Ba,D,Aa)),D))|D=hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,Aa),Ba).
% 115.46/114.23  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D),Aa))|D!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,Aa),Ba).
% 115.46/114.23  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D),Ba))|D!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,Aa),Ba).
% 115.46/114.23  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,E),Aa))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,E),Ba))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,E),D))|D!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,Aa),Ba).
% 115.46/114.23  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,Y_2),Z_2)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Y_2)).
% 115.46/114.23  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,Y_2),Z_2)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Z_2)).
% 115.46/114.23  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,Y_2),Z_2)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Y_2))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Z_2)).
% 115.46/114.23  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,M),N)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_1),M)).
% 115.46/114.23  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,M),N)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_1),N)).
% 115.46/114.23  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,M),N)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_1),M))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_1),N)).
% 115.46/114.23  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Y_2))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,X_1),Y_2)=X_1.
% 115.46/114.23  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Y_2))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,X_1),Y_2)!=X_1.
% 115.46/114.23  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,X),Y)),Y)).
% 115.46/114.23  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,X),Y)),X)).
% 115.46/114.23  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,one_one_nat),X)=one_one_nat.
% 115.46/114.23  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,M_1),one_one_nat)=one_one_nat.
% 115.46/114.23  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,X),one_one_nat)=one_one_nat.
% 115.46/114.23  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,X_1),Y_2)!=zero_zero_nat|X_1=zero_zero_nat.
% 115.46/114.23  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,X_1),Y_2)!=zero_zero_nat|Y_2=zero_zero_nat.
% 115.46/114.23  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,X_1),Y_2)=zero_zero_nat|X_1!=zero_zero_nat|Y_2!=zero_zero_nat.
% 115.46/114.23  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,M),N)!=zero_zero_nat|M=zero_zero_nat.
% 115.46/114.23  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,M),N)!=zero_zero_nat|N=zero_zero_nat.
% 115.46/114.23  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,M),N)=zero_zero_nat|M!=zero_zero_nat|N!=zero_zero_nat.
% 115.46/114.23  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,X),zero_zero_nat)=X.
% 115.46/114.23  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,zero_zero_nat),X)=X.
% 115.46/114.23  0 [] 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)).
% 115.46/114.23  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,hAPP_nat_nat(suc,N_1)),N_1)=one_one_nat.
% 115.46/114.23  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,M_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_2),M_1)),N_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,M_1),N_1).
% 115.46/114.23  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_2),B_1)!=one_one_nat| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),A_2))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),B_1))|X=one_one_nat.
% 115.46/114.23  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,Aa),Ba)!=one_one_nat| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D_2),Aa))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D_2),Ba))|D_2=one_one_nat.
% 115.46/114.23  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,Aa),Ba)!=one_one_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D_2),Aa))|D_2!=one_one_nat.
% 115.46/114.23  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,Aa),Ba)!=one_one_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D_2),Ba))|D_2!=one_one_nat.
% 115.46/114.23  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,Aa),Ba)=one_one_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,$f359(Aa,Ba)),Aa))|$f359(Aa,Ba)=one_one_nat.
% 115.46/114.23  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,Aa),Ba)=one_one_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,$f359(Aa,Ba)),Ba))|$f359(Aa,Ba)=one_one_nat.
% 115.46/114.23  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,Aa),Ba)=one_one_nat| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,$f359(Aa,Ba)),Aa))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,$f359(Aa,Ba)),Ba))|$f359(Aa,Ba)!=one_one_nat.
% 115.46/114.23  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_1),one_one_nat)),N_1)=one_one_nat.
% 115.46/114.23  0 [] 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_2),B_1))!=one_one_nat|hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,D_3),B_1)=one_one_nat.
% 115.46/114.23  0 [] 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_2),B_1))!=one_one_nat|hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,D_3),A_2)=one_one_nat.
% 115.46/114.23  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,Aa),D)!=one_one_nat|hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,Ba),C)!=one_one_nat|hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Aa),C)!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Ba),D)|Aa=Ba.
% 115.46/114.23  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,Aa),D)!=one_one_nat|hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,Ba),C)!=one_one_nat|hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Aa),C)!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Ba),D)|C=D.
% 115.46/114.23  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,Aa),D)!=one_one_nat|hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,Ba),C)!=one_one_nat|hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Aa),C)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Ba),D)|Aa!=Ba|C!=D.
% 115.46/114.23  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,D_3),A_2)!=one_one_nat|hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,D_3),B_1)!=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_2),B_1))=one_one_nat.
% 115.46/114.23  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,K_2),N_1)!=one_one_nat|hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_2),M_1)),N_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,M_1),N_1).
% 115.46/114.23  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,D),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Aa),Ba))!=one_one_nat|hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,D),Aa)=one_one_nat.
% 115.46/114.23  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,D),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Aa),Ba))!=one_one_nat|hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,D),Ba)=one_one_nat.
% 115.46/114.23  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,D),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Aa),Ba))=one_one_nat|hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,D),Aa)!=one_one_nat|hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,D),Ba)!=one_one_nat.
% 115.46/114.23  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),M_1))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N_1)),N_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,M_1),N_1).
% 115.46/114.23  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_1),M_1)),N_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,M_1),N_1).
% 115.46/114.23  0 [] Y!=zero_zero_nat|hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,X),Y)=X.
% 115.46/114.23  0 [] 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)).
% 115.46/114.23  0 [] 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)).
% 115.46/114.23  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,D_3),A_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(power_power_nat,A_2),N_1))=one_one_nat.
% 115.46/114.23  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_2),B_1)=zero_zero_nat|A_2!=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_2),B_1))|B_1!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_4),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_2),B_1))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_4),B_4)=one_one_nat.
% 115.46/114.23  0 [] N_1=zero_zero_nat|hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_1),one_one_nat)),N_1)=one_one_nat.
% 115.46/114.23  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,M_1),R_3))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,N_1),R_3))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,M_1),N_1)!=one_one_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),N_1)),R_3)).
% 115.46/114.23  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,K_1),N)!=one_one_nat| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),N)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_1),M)).
% 115.46/114.23  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,K_1),N)!=one_one_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),N)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_1),M)).
% 115.46/114.23  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,K_2),N_1)!=one_one_nat| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),N_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_2),M_1)).
% 115.46/114.23  0 [] A_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_2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_2),B_1))),hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,B_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_2),B_1)))=one_one_nat.
% 115.46/114.23  0 [] B_1=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_2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_2),B_1))),hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,B_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_2),B_1)))=one_one_nat.
% 115.46/114.23  0 [] hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,X),Y)),M_1)!=one_one_nat|hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,X),M_1)=one_one_nat.
% 115.46/114.23  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,Aa),Ba)!=one_one_nat| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D_2),Aa))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D_2),Ba))|D_2=hAPP_nat_nat(suc,zero_zero_nat).
% 115.46/114.23  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,Aa),Ba)!=one_one_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D_2),Aa))|D_2!=hAPP_nat_nat(suc,zero_zero_nat).
% 115.46/114.23  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,Aa),Ba)!=one_one_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D_2),Ba))|D_2!=hAPP_nat_nat(suc,zero_zero_nat).
% 115.46/114.23  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,Aa),Ba)=one_one_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,$f360(Aa,Ba)),Aa))|$f360(Aa,Ba)=hAPP_nat_nat(suc,zero_zero_nat).
% 115.46/114.23  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,Aa),Ba)=one_one_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,$f360(Aa,Ba)),Ba))|$f360(Aa,Ba)=hAPP_nat_nat(suc,zero_zero_nat).
% 115.46/114.23  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,Aa),Ba)=one_one_nat| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,$f360(Aa,Ba)),Aa))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,$f360(Aa,Ba)),Ba))|$f360(Aa,Ba)!=hAPP_nat_nat(suc,zero_zero_nat).
% 115.46/114.23  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_2),B_1)=zero_zero_nat|A_2=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,$f362(A_2,B_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_2),B_1)).
% 115.46/114.23  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_2),B_1)=zero_zero_nat|B_1=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,$f361(A_2,B_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_2),B_1)).
% 115.46/114.23  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_2),B_1)=zero_zero_nat|hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,$f362(A_2,B_1)),$f361(A_2,B_1))=one_one_nat.
% 115.46/114.23  0 [] A_2=zero_zero_nat|hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_2),$f364(B_1,A_2))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_1),$f363(B_1,A_2))),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_2),B_1)).
% 115.46/114.23  0 [] -hBOOL(cauchy_real(X_3))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,$f365(X_3,J_1)),M_2))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,$f365(X_3,J_1)),N_2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_nat_real(X_3,M_2)),hAPP_nat_real(X_3,N_2)))),hAPP_real_real(inverse_inverse_real,hAPP_nat_real(real_nat,hAPP_nat_nat(suc,J_1))))).
% 115.46/114.23  0 [] hBOOL(cauchy_real(X_3))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_4),$f367(X_3,M_4))).
% 115.46/114.23  0 [] hBOOL(cauchy_real(X_3))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_4),$f366(X_3,M_4))).
% 115.46/114.23  0 [] hBOOL(cauchy_real(X_3))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_nat_real(X_3,$f367(X_3,M_4))),hAPP_nat_real(X_3,$f366(X_3,M_4))))),hAPP_real_real(inverse_inverse_real,hAPP_nat_real(real_nat,hAPP_nat_nat(suc,$f368(X_3)))))).
% 115.46/114.23  0 [] -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_2))|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_2)),A_2))).
% 115.46/114.23  0 [] -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_2))|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_2)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(powr,A_2),A_2)),X))).
% 115.46/114.23  0 [] hAPP_real_real(hAPP_r1250527377l_real(powr,one_one_real),A_2)=one_one_real.
% 115.46/114.23  0 [] hAPP_real_real(hAPP_r1250527377l_real(powr,X),A_2)!=zero_zero_real.
% 115.46/114.23  0 [] hAPP_real_real(hAPP_r1250527377l_real(powr,hAPP_real_real(hAPP_r1250527377l_real(powr,X),A_2)),B_1)=hAPP_real_real(hAPP_r1250527377l_real(powr,hAPP_real_real(hAPP_r1250527377l_real(powr,X),B_1)),A_2).
% 115.46/114.23  0 [] hAPP_real_real(hAPP_r1250527377l_real(powr,hAPP_real_real(hAPP_r1250527377l_real(powr,X),A_2)),B_1)=hAPP_real_real(hAPP_r1250527377l_real(powr,X),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_2),B_1)).
% 115.46/114.23  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(powr,X),Y))).
% 115.46/114.23  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_2),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_2)),hAPP_real_real(hAPP_r1250527377l_real(powr,X),A_2))).
% 115.46/114.23  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_2))| -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_2)),hAPP_real_real(hAPP_r1250527377l_real(powr,Y),A_2))).
% 115.46/114.23  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(powr,X),A_2))).
% 115.46/114.23  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_2),B_1))| -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_2)),hAPP_real_real(hAPP_r1250527377l_real(powr,X),B_1))).
% 115.46/114.23  0 [] hAPP_real_real(hAPP_r1250527377l_real(powr,X),zero_zero_real)=one_one_real.
% 115.46/114.23  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(powr,X),A_2)),hAPP_real_real(hAPP_r1250527377l_real(powr,X),B_1)))| -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_2),B_1)).
% 115.46/114.23  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_2),B_1))| -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_2)),hAPP_real_real(hAPP_r1250527377l_real(powr,X),B_1))).
% 115.46/114.23  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),X_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(powr,X_1),Aa)),hAPP_real_real(hAPP_r1250527377l_real(powr,X_1),Ba)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba)).
% 115.46/114.23  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),X_1))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(powr,X_1),Aa)),hAPP_real_real(hAPP_r1250527377l_real(powr,X_1),Ba)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba)).
% 115.46/114.23  0 [] hAPP_real_real(hAPP_r1250527377l_real(powr,X),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_2),B_1))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(powr,X),A_2)),hAPP_real_real(hAPP_r1250527377l_real(powr,X),B_1)).
% 115.46/114.23  0 [] hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_r1250527377l_real(powr,X),A_2)),hAPP_real_real(hAPP_r1250527377l_real(powr,X),B_1))=hAPP_real_real(hAPP_r1250527377l_real(powr,X),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,A_2),B_1)).
% 115.46/114.23  0 [] hAPP_real_real(hAPP_r1250527377l_real(powr,X),hAPP_real_real(uminus_uminus_real,A_2))=hAPP_real_real(inverse_inverse_real,hAPP_real_real(hAPP_r1250527377l_real(powr,X),A_2)).
% 115.46/114.23  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_2))| -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_2)),hAPP_real_real(hAPP_r1250527377l_real(powr,Y),A_2))).
% 115.46/114.23  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Y))|hAPP_real_real(hAPP_r1250527377l_real(powr,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X),Y)),A_2)=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(powr,X),A_2)),hAPP_real_real(hAPP_r1250527377l_real(powr,Y),A_2)).
% 115.46/114.23  0 [] -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_2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),hAPP_real_real(hAPP_r1250527377l_real(powr,X),A_2))).
% 115.46/114.23  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),X_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(powr,X_1),Aa)),hAPP_real_real(hAPP_r1250527377l_real(powr,X_1),Ba)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba)).
% 115.46/114.23  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),X_1))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(powr,X_1),Aa)),hAPP_real_real(hAPP_r1250527377l_real(powr,X_1),Ba)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba)).
% 115.46/114.23  0 [] hAPP_real_real(hAPP_r1250527377l_real(powr,X_1),one_one_real)!=X_1|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1)).
% 115.46/114.23  0 [] hAPP_real_real(hAPP_r1250527377l_real(powr,X_1),one_one_real)=X_1| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1)).
% 115.46/114.23  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Y))|hAPP_real_real(hAPP_r1250527377l_real(powr,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,X),Y)),A_2)=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_r1250527377l_real(powr,X),A_2)),hAPP_real_real(hAPP_r1250527377l_real(powr,Y),A_2)).
% 115.46/114.23  0 [] hAPP_real_real(hAPP_r1250527377l_real(powr,X),hAPP_real_real(uminus_uminus_real,A_2))=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,one_one_real),hAPP_real_real(hAPP_r1250527377l_real(powr,X),A_2)).
% 115.46/114.23  0 [] hAPP_real_real(hAPP_r1250527377l_real(powr,X),A_2)=hAPP_real_real(exp_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_2),hAPP_real_real(ln,X))).
% 115.46/114.23  0 [] -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_1))=hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X),N_1).
% 115.46/114.23  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),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)).
% 115.46/114.23  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_2))|A_2=one_one_real|hAPP_real_real(log(A_2),hAPP_real_real(hAPP_r1250527377l_real(powr,A_2),Y))=Y.
% 115.46/114.23  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_2))|A_2=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_2),hAPP_real_real(log(A_2),X))=X.
% 115.46/114.23  0 [] -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_1),hAPP_real_real(hAPP_r1250527377l_real(powr,X),Y))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Y),hAPP_real_real(log(B_1),X)).
% 115.46/114.23  0 [] -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_1))|X!=zero_zero_real|hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X),N_1)=zero_zero_real.
% 115.46/114.23  0 [] -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_1))|X=zero_zero_real|hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X),N_1)=hAPP_real_real(hAPP_r1250527377l_real(powr,X),hAPP_nat_real(real_nat,N_1)).
% 115.46/114.23  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,A_2),B_1))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_2),B_1)!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,C_1),N_1)|A_2=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,$f370(C_1,N_1,A_2,B_1)),N_1).
% 115.46/114.23  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,A_2),B_1))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_2),B_1)!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,C_1),N_1)|B_1=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,$f369(C_1,N_1,A_2,B_1)),N_1).
% 115.46/114.23  0 [] -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)|X=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,P_3),$f372(X,Y,K_2,P_3)).
% 115.46/114.23  0 [] -hBOOL(hAPP_nat_bool(prime,P_3))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,X),Y)!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,P_3),K_2)|Y=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,P_3),$f371(X,Y,K_2,P_3)).
% 115.46/114.23  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),M_1))|hAPP_int_int(legacy_zgcd(X),M_1)!=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_1))),one_one_int),M_1)).
% 115.46/114.23  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(legacy_zgcd(I),J_2)),J_2)).
% 115.46/114.23  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(legacy_zgcd(I),J_2)),I)).
% 115.46/114.23  0 [] hAPP_int_int(legacy_zgcd(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_2),M_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_2),N_1))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(abs_abs_int,K_2)),hAPP_int_int(legacy_zgcd(M_1),N_1)).
% 115.46/114.23  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(legacy_zgcd(I),J_2))).
% 115.46/114.23  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),M_1))|hAPP_int_int(legacy_zgcd(M_1),M_1)=M_1.
% 115.46/114.23  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(legacy_zgcd(X),Y))).
% 115.46/114.23  0 [] hAPP_int_int(legacy_zgcd(M_1),zero_zero_int)=hAPP_int_int(abs_abs_int,M_1).
% 115.46/114.23  0 [] hAPP_int_int(legacy_zgcd(zero_zero_int),M_1)=hAPP_int_int(abs_abs_int,M_1).
% 115.46/114.23  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(legacy_zgcd(M_1),N_1)),hAPP_int_int(legacy_zgcd(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_2),M_1)),N_1))).
% 115.46/114.23  0 [] hAPP_int_int(legacy_zgcd(A_2),B_1)!=one_one_int|hAPP_int_int(legacy_zgcd(hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_2),N_1)),B_1)=one_one_int.
% 115.46/114.23  0 [] hAPP_int_int(legacy_zgcd(A_2),B_1)!=one_one_int|hAPP_int_int(legacy_zgcd(hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_2),N_1)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,B_1),N_1))=one_one_int.
% 115.46/114.23  0 [] hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(legacy_zgcd(A_2),B_1)),N_1)=hAPP_int_int(legacy_zgcd(hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_2),N_1)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,B_1),N_1)).
% 115.46/114.23  0 [] hAPP_int_int(legacy_zgcd(I),J_2)=hAPP_int_int(legacy_zgcd(J_2),I).
% 115.46/114.23  0 [] hAPP_int_int(legacy_zgcd(K_2),hAPP_int_int(legacy_zgcd(M_1),N_1))=hAPP_int_int(legacy_zgcd(M_1),hAPP_int_int(legacy_zgcd(K_2),N_1)).
% 115.46/114.23  0 [] hAPP_int_int(legacy_zgcd(hAPP_int_int(legacy_zgcd(K_2),M_1)),N_1)=hAPP_int_int(legacy_zgcd(K_2),hAPP_int_int(legacy_zgcd(M_1),N_1)).
% 115.46/114.23  0 [] hAPP_int_int(legacy_zgcd(I),hAPP_int_int(uminus_uminus_int,J_2))=hAPP_int_int(legacy_zgcd(I),J_2).
% 115.46/114.23  0 [] hAPP_int_int(legacy_zgcd(hAPP_int_int(uminus_uminus_int,I)),J_2)=hAPP_int_int(legacy_zgcd(I),J_2).
% 115.46/114.23  0 [] hAPP_int_int(legacy_zgcd(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,M_1),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,N_1),K_2))),N_1)=hAPP_int_int(legacy_zgcd(M_1),N_1).
% 115.46/114.23  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_2),M_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_2),N_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_2),hAPP_int_int(legacy_zgcd(M_1),N_1))).
% 115.46/114.23  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_1),hAPP_int_int(legacy_zgcd(M),N)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_1),M)).
% 115.46/114.23  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_1),hAPP_int_int(legacy_zgcd(M),N)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_1),N)).
% 115.46/114.23  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_1),hAPP_int_int(legacy_zgcd(M),N)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_1),M))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_1),N)).
% 115.46/114.23  0 [] hAPP_int_int(legacy_zgcd(K_2),M_1)!=one_one_int|hAPP_int_int(legacy_zgcd(N_1),M_1)!=one_one_int|hAPP_int_int(legacy_zgcd(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_2),N_1)),M_1)=one_one_int.
% 115.46/114.23  0 [] hAPP_int_int(legacy_zgcd(K_2),N_1)!=one_one_int|hAPP_int_int(legacy_zgcd(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_2),M_1)),N_1)=hAPP_int_int(legacy_zgcd(M_1),N_1).
% 115.46/114.23  0 [] hAPP_int_int(legacy_zgcd(M_1),one_one_int)=one_one_int.
% 115.46/114.23  0 [] hAPP_int_int(legacy_zgcd(one_one_int),M_1)=one_one_int.
% 115.46/114.23  0 [] hAPP_int_int(legacy_zgcd(I_1),J)!=zero_zero_int|I_1=zero_zero_int.
% 115.46/114.23  0 [] hAPP_int_int(legacy_zgcd(I_1),J)!=zero_zero_int|J=zero_zero_int.
% 115.46/114.23  0 [] hAPP_int_int(legacy_zgcd(I_1),J)=zero_zero_int|I_1!=zero_zero_int|J!=zero_zero_int.
% 115.46/114.23  0 [] hAPP_int_int(legacy_zgcd(M_1),N_1)=hAPP_int_int(legacy_zgcd(N_1),hAPP_int_int(div_mod_int(M_1),N_1)).
% 115.46/114.23  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),K_2))|hAPP_int_int(legacy_zgcd(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_2),N_1)),K_2)=K_2.
% 115.46/114.23  0 [] -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_1),N_1))=hAPP_int_int(legacy_zgcd(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_2),M_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_2),N_1)).
% 115.46/114.23  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),K_2))|hAPP_int_int(legacy_zgcd(K_2),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_2),N_1))=K_2.
% 115.46/114.23  0 [] -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),N))|hAPP_int_int(legacy_zgcd(N),M)=M.
% 115.46/114.23  0 [] -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),N))|hAPP_int_int(legacy_zgcd(N),M)!=M.
% 115.46/114.23  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),N_1))|hAPP_int_int(legacy_zgcd(M_1),N_1)=hAPP_int_int(legacy_zgcd(N_1),hAPP_int_int(div_mod_int(M_1),N_1)).
% 115.46/114.24  0 [] A_2=zero_zero_int|hAPP_int_int(legacy_zgcd(hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_2),hAPP_int_int(legacy_zgcd(A_2),B_1))),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,B_1),hAPP_int_int(legacy_zgcd(A_2),B_1)))=one_one_int.
% 115.46/114.24  0 [] B_1=zero_zero_int|hAPP_int_int(legacy_zgcd(hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_2),hAPP_int_int(legacy_zgcd(A_2),B_1))),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,B_1),hAPP_int_int(legacy_zgcd(A_2),B_1)))=one_one_int.
% 115.46/114.24  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_2),B_1),M_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_2),B_1),N_1))|hAPP_int_int(legacy_zgcd(M_1),N_1)!=one_one_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_2),B_1),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,M_1),N_1))).
% 115.46/114.24  0 [] hAPP_int_int(legacy_zgcd(zero_zero_int),M)!=one_one_int|hAPP_int_int(abs_abs_int,M)=one_one_int.
% 115.46/114.24  0 [] hAPP_int_int(legacy_zgcd(zero_zero_int),M)=one_one_int|hAPP_int_int(abs_abs_int,M)!=one_one_int.
% 115.46/114.24  0 [] hAPP_int_int(legacy_zgcd(K_2),N_1)!=one_one_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(legacy_zgcd(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_2),M_1)),N_1)),hAPP_int_int(legacy_zgcd(M_1),N_1))).
% 115.46/114.24  0 [] hAPP_int_int(legacy_zgcd(N_1),K_2)!=one_one_int| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_2),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,M_1),N_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_2),M_1)).
% 115.46/114.24  0 [] 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)).
% 115.46/114.24  0 [] hAPP_int_int(legacy_zgcd(K_1),L)=hAPP_int_int(abs_abs_int,hAPP_int_int(hAPP_int_fun_int_int(hAPP_b1463609396nt_int(if_int,hAPP_int_bool(hAPP_i1948725293t_bool(fe_qual_int,L),zero_zero_int)),K_1),hAPP_int_int(legacy_zgcd(L),hAPP_int_int(div_mod_int(hAPP_int_int(abs_abs_int,K_1)),hAPP_int_int(abs_abs_int,L))))).
% 115.46/114.24  0 [] -hBOOL(hAPP_int_bool(zprime,P_3))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_3),N_1))|hAPP_int_int(legacy_zgcd(N_1),P_3)=one_one_int.
% 115.46/114.24  0 [] hAPP_int_int(legacy_zgcd(Aa),Ba)!=one_one_int| -hBOOL(hAPP_int_bool(zprime,P_4))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_4),Aa))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_4),Ba)).
% 115.46/114.24  0 [] hAPP_int_int(legacy_zgcd(Aa),Ba)=one_one_int|hBOOL(hAPP_int_bool(zprime,$f373(Aa,Ba))).
% 115.46/114.24  0 [] hAPP_int_int(legacy_zgcd(Aa),Ba)=one_one_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,$f373(Aa,Ba)),Aa)).
% 115.46/114.24  0 [] hAPP_int_int(legacy_zgcd(Aa),Ba)=one_one_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,$f373(Aa,Ba)),Ba)).
% 115.46/114.24  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),M_1))|hAPP_int_int(legacy_zgcd(A_2),M_1)!=one_one_int| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_2),B_1),M_1))|hAPP_int_int(legacy_zgcd(B_1),M_1)=one_one_int.
% 115.46/114.24  0 [] -hBOOL(hAPP_int_bool(zprime,P_3))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),N_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,N_1),P_3))|hAPP_int_int(legacy_zgcd(N_1),P_3)=one_one_int.
% 115.46/114.24  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),M))|hAPP_int_int(legacy_zgcd(K_1),M)!=one_one_int| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),Aa)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),Ba)),M))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Aa),Ba),M)).
% 115.46/114.24  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),M))|hAPP_int_int(legacy_zgcd(K_1),M)!=one_one_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),Aa)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),Ba)),M))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Aa),Ba),M)).
% 115.46/114.24  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),M))|hAPP_int_int(legacy_zgcd(K_1),M)!=one_one_int| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Aa),K_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Ba),K_1)),M))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Aa),Ba),M)).
% 115.46/114.24  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),M))|hAPP_int_int(legacy_zgcd(K_1),M)!=one_one_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Aa),K_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Ba),K_1)),M))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Aa),Ba),M)).
% 115.46/114.24  0 [] hAPP_int_int(legacy_zgcd(N_1),K_2)!=one_one_int| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_2),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,M_1),N_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,K_2),M_1)).
% 115.46/114.24  0 [] hAPP_int_int(legacy_zgcd(Ba),M)!=one_one_int| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Ba))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Ba),Aa))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Ba),hAPP_i1948725293t_bool(bnorRset(Aa),M))).
% 115.46/114.24  0 [] hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Aa),Ba)!=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,C),hAPP_int_nat(nat,X_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),hAPP_int_nat(nat,X_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),zOdd))|hAPP_int_int(legacy_zgcd(Aa),Ba)!=one_one_int|Aa=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,$f374(Aa,Ba,C,X_1)),hAPP_int_nat(nat,X_1)).
% 115.46/114.24  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),N))|hAPP_int_int(legacy_zgcd(M),N)!=K_1|xzgcd(M,N)=hAPP_P408881810nt_int(hAPP_i1730167831nt_int(produc282740534nt_int,K_1),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,$f376(M,K_1,N)),$f375(M,K_1,N))).
% 115.46/114.24  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),N))|hAPP_int_int(legacy_zgcd(M),N)=K_1|xzgcd(M,N)!=hAPP_P408881810nt_int(hAPP_i1730167831nt_int(produc282740534nt_int,K_1),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,S_3),T_1)).
% 115.46/114.24  0 [] hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_2),B_1)!=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,C_1),N_1)| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),N_1))|hAPP_int_int(legacy_zgcd(A_2),B_1)!=one_one_int|hAPP_int_int(abs_abs_int,A_2)=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,$f377(A_2,B_1,C_1,N_1)),N_1).
% 115.46/114.24  0 [] xzgcda(M_1,N_1,R_5,R_3,S_4,S_2,T_3,T_2)!=hAPP_P408881810nt_int(hAPP_i1730167831nt_int(produc282740534nt_int,K_2),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Sn),Tn))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),R_3))|hAPP_int_int(legacy_zgcd(R_5),R_3)=K_2.
% 115.46/114.24  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),N_1))|hAPP_int_int(legacy_zgcd(A_2),N_1)!=one_one_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),$f378(B_1,A_2,N_1))).
% 115.46/114.24  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),N_1))|hAPP_int_int(legacy_zgcd(A_2),N_1)!=one_one_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f378(B_1,A_2,N_1)),N_1)).
% 115.46/114.24  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),N_1))|hAPP_int_int(legacy_zgcd(A_2),N_1)!=one_one_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_2),$f378(B_1,A_2,N_1))),B_1),N_1)).
% 115.46/114.24  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),N_1))|hAPP_int_int(legacy_zgcd(A_2),N_1)!=one_one_int| -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_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_2),Y_1)),B_1),N_1))|Y_1=$f378(B_1,A_2,N_1).
% 115.46/114.24  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),N_1))|hAPP_int_int(legacy_zgcd(A_2),N_1)!=one_one_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_2),$f379(A_2,N_1))),one_one_int),N_1)).
% 115.46/114.24  0 [] hAPP_int_int(legacy_zgcd(R_5),R_3)!=K_2| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),R_3))|xzgcda(M_1,N_1,R_5,R_3,S_4,S_2,T_3,T_2)=hAPP_P408881810nt_int(hAPP_i1730167831nt_int(produc282740534nt_int,K_2),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,$f381(M_1,N_1,S_4,S_2,T_3,T_2,R_5,R_3,K_2)),$f380(M_1,N_1,S_4,S_2,T_3,T_2,R_5,R_3,K_2))).
% 115.46/114.24  0 [] hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Aa),Ba)),C)!=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,D),hAPP_int_nat(nat,X_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),hAPP_int_nat(nat,X_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),zOdd))|hAPP_int_int(legacy_zgcd(Aa),Ba)!=one_one_int|hAPP_int_int(legacy_zgcd(Ba),C)!=one_one_int|hAPP_int_int(legacy_zgcd(C),Aa)!=one_one_int|Aa=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,$f384(Aa,Ba,C,D,X_1)),hAPP_int_nat(nat,X_1)).
% 115.46/114.24  0 [] hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Aa),Ba)),C)!=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,D),hAPP_int_nat(nat,X_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),hAPP_int_nat(nat,X_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),zOdd))|hAPP_int_int(legacy_zgcd(Aa),Ba)!=one_one_int|hAPP_int_int(legacy_zgcd(Ba),C)!=one_one_int|hAPP_int_int(legacy_zgcd(C),Aa)!=one_one_int|Ba=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,$f383(Aa,Ba,C,D,X_1)),hAPP_int_nat(nat,X_1)).
% 115.46/114.24  0 [] hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Aa),Ba)),C)!=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,D),hAPP_int_nat(nat,X_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),hAPP_int_nat(nat,X_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),zOdd))|hAPP_int_int(legacy_zgcd(Aa),Ba)!=one_one_int|hAPP_int_int(legacy_zgcd(Ba),C)!=one_one_int|hAPP_int_int(legacy_zgcd(C),Aa)!=one_one_int|C=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,$f382(Aa,Ba,C,D,X_1)),hAPP_int_nat(nat,X_1)).
% 115.46/114.24  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),N_1))|hAPP_int_int(legacy_zgcd(M_1),N_1)!=K_2|K_2=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f386(M_1,K_2,N_1)),M_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f385(M_1,K_2,N_1)),N_1)).
% 115.46/114.24  0 [] hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_2),B_1)),C_1)!=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,D_3),N_1)| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),N_1))|hAPP_int_int(legacy_zgcd(A_2),B_1)!=one_one_int|hAPP_int_int(legacy_zgcd(B_1),C_1)!=one_one_int|hAPP_int_int(legacy_zgcd(C_1),A_2)!=one_one_int|hAPP_int_int(abs_abs_int,A_2)=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,$f389(A_2,B_1,C_1,D_3,N_1)),N_1).
% 115.46/114.24  0 [] hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_2),B_1)),C_1)!=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,D_3),N_1)| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),N_1))|hAPP_int_int(legacy_zgcd(A_2),B_1)!=one_one_int|hAPP_int_int(legacy_zgcd(B_1),C_1)!=one_one_int|hAPP_int_int(legacy_zgcd(C_1),A_2)!=one_one_int|hAPP_int_int(abs_abs_int,B_1)=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,$f388(A_2,B_1,C_1,D_3,N_1)),N_1).
% 115.46/114.24  0 [] hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_2),B_1)),C_1)!=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,D_3),N_1)| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),N_1))|hAPP_int_int(legacy_zgcd(A_2),B_1)!=one_one_int|hAPP_int_int(legacy_zgcd(B_1),C_1)!=one_one_int|hAPP_int_int(legacy_zgcd(C_1),A_2)!=one_one_int|hAPP_int_int(abs_abs_int,C_1)=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,$f387(A_2,B_1,C_1,D_3,N_1)),N_1).
% 115.46/114.24  0 [] A_2=zero_zero_int|A_2=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(legacy_zgcd(A_2),B_1)),$f391(B_1,A_2)).
% 115.46/114.24  0 [] A_2=zero_zero_int|B_1=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(legacy_zgcd(A_2),B_1)),$f390(B_1,A_2)).
% 115.46/114.24  0 [] A_2=zero_zero_int|hAPP_int_int(legacy_zgcd($f391(B_1,A_2)),$f390(B_1,A_2))=one_one_int.
% 115.46/114.24  0 [] B_1=zero_zero_int|A_2=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(legacy_zgcd(A_2),B_1)),$f391(B_1,A_2)).
% 115.46/114.24  0 [] B_1=zero_zero_int|B_1=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(legacy_zgcd(A_2),B_1)),$f390(B_1,A_2)).
% 115.46/114.24  0 [] B_1=zero_zero_int|hAPP_int_int(legacy_zgcd($f391(B_1,A_2)),$f390(B_1,A_2))=one_one_int.
% 115.46/114.24  0 [] X=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,$f393(Y,X)),hAPP_real_real(cos,$f392(Y,X))).
% 115.46/114.24  0 [] Y=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,$f393(Y,X)),hAPP_real_real(sin,$f392(Y,X))).
% 115.46/114.24  0 [] 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)).
% 115.46/114.24  0 [] hAPP_complex_real(dist_dist_complex(X),Y)=hAPP_complex_real(norm_norm_complex,hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,X),Y)).
% 115.46/114.24  0 [] -hBOOL(hAPP_int_bool(P_1,hAPP_nat_int(semiri1621563631at_int,$f394(Z_2,P_1))))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(uminus_uminus_int,hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(suc,$f395(Z_2,P_1))))))|hBOOL(hAPP_int_bool(P_1,Z_2)).
% 115.46/114.24  0 [] Z_1=hAPP_nat_int(semiri1621563631at_int,$f396(Z_1))|Z_1=hAPP_int_int(uminus_uminus_int,hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(suc,$f397(Z_1)))).
% 115.46/114.24  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),$f398(F,Aa,Ba)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(F,Aa)),hAPP_real_real(F,Ba))).
% 115.46/114.24  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f398(F,Aa,Ba)),Ba))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(F,Aa)),hAPP_real_real(F,Ba))).
% 115.46/114.24  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba))| -hBOOL(hAPP_real_bool(deriv_real(F,$f398(F,Aa,Ba)),Y_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Y_1))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(F,Aa)),hAPP_real_real(F,Ba))).
% 115.46/114.24  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),$f399(F,Aa,Ba)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(F,Ba)),hAPP_real_real(F,Aa))).
% 115.46/114.24  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f399(F,Aa,Ba)),Ba))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(F,Ba)),hAPP_real_real(F,Aa))).
% 115.46/114.24  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba))| -hBOOL(hAPP_real_bool(deriv_real(F,$f399(F,Aa,Ba)),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,Ba)),hAPP_real_real(F,Aa))).
% 115.46/114.24  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_1,$f400(M,N,P_1)),zero_zero_nat))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),$f401(M,N,P_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_1,M),N)).
% 115.46/114.24  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_1,$f400(M,N,P_1)),zero_zero_nat))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_1,$f401(M,N,P_1)),hAPP_nat_nat(div_mod_nat($f402(M,N,P_1)),$f401(M,N,P_1))))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_1,M),N)).
% 115.46/114.24  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_1,$f400(M,N,P_1)),zero_zero_nat))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_1,$f402(M,N,P_1)),$f401(M,N,P_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_1,M),N)).
% 115.46/114.24  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,one_one_nat),P_3))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,P_3),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,P_3),hAPP_nat_nat(fact,N_1))).
% 115.46/114.24  0 [] hAPP_Q1762011733de_int(div_mo231679042de_int(N_1),M_1)=hAPP_i1732201573de_int(quickcheck_of_int,hAPP_int_int(div_mod_int(quickcheck_int_of(N_1)),quickcheck_int_of(M_1))).
% 115.46/114.24  0 [] hAPP_i1732201573de_int(quickcheck_of_int,N)!=hAPP_i1732201573de_int(quickcheck_of_int,M)|N=M.
% 115.46/114.24  0 [] hAPP_i1732201573de_int(quickcheck_of_int,N)=hAPP_i1732201573de_int(quickcheck_of_int,M)|N!=M.
% 115.46/114.24  0 [] hAPP_i1732201573de_int(quickcheck_of_int,quickcheck_int_of(X))=X.
% 115.46/114.24  0 [] hAPP_i1732201573de_int(quickcheck_of_int,quickcheck_int_of(K_2))=K_2.
% 115.46/114.24  0 [] quickcheck_int_of(hAPP_i1732201573de_int(quickcheck_of_int,N_1))=N_1.
% 115.46/114.24  0 [] number1226105091de_int=quickcheck_of_int.
% 115.46/114.24  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(fact,M_1)),hAPP_nat_nat(fact,N_1))).
% 115.46/114.24  0 [] hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,N_1),M_1)=hAPP_i1732201573de_int(quickcheck_of_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,quickcheck_int_of(N_1)),quickcheck_int_of(M_1))).
% 115.46/114.24  0 [] hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,N_1),M_1)=hAPP_i1732201573de_int(quickcheck_of_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,quickcheck_int_of(N_1)),quickcheck_int_of(M_1))).
% 115.46/114.24  0 [] hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(minus_534354567de_int,N_1),M_1)=hAPP_i1732201573de_int(quickcheck_of_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,quickcheck_int_of(N_1)),quickcheck_int_of(M_1))).
% 115.46/114.24  0 [] zero_z891286103de_int=hAPP_i1732201573de_int(quickcheck_of_int,zero_zero_int).
% 115.46/114.24  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(fact,N_1))).
% 115.46/114.24  0 [] hAPP_nat_nat(fact,zero_zero_nat)=one_one_nat.
% 115.46/114.24  0 [] hAPP_nat_nat(fact,hAPP_nat_nat(suc,N_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,N_1)),hAPP_nat_nat(fact,N_1)).
% 115.46/114.24  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,one_one_nat),hAPP_nat_nat(fact,N_1))).
% 115.46/114.24  0 [] one_on1684967323de_int=hAPP_i1732201573de_int(quickcheck_of_int,one_one_int).
% 115.46/114.24  0 [] hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,N_1),M_1)=hAPP_i1732201573de_int(quickcheck_of_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,quickcheck_int_of(N_1)),quickcheck_int_of(M_1))).
% 115.46/114.24  0 [] hBOOL(hAPP_nat_bool(prime,$f403(N_1))).
% 115.46/114.24  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),$f403(N_1))).
% 115.46/114.24  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,$f403(N_1)),hAPP_nat_nat(suc,hAPP_nat_nat(fact,N_1)))).
% 115.46/114.24  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(F,hAPP_nat_nat(suc,$f404(F)))),hAPP_nat_nat(F,$f404(F))))|hAPP_nat_nat(F,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,$f405(F)),K))=hAPP_nat_nat(F,$f405(F)).
% 115.46/114.24  0 [] -hBOOL(hAPP_P603027463t_bool(accp_P2006205492nt_int(norm_frac_rel),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,A0),A1)))|hBOOL(hAPP_P603027463t_bool(accp_P2006205492nt_int(norm_frac_rel),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,$f407(P_1,A0,A1)),$f406(P_1,A0,A1))))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(P_1,A0),A1)).
% 115.46/114.24  0 [] -hBOOL(hAPP_P603027463t_bool(accp_P2006205492nt_int(norm_frac_rel),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,A0),A1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f406(P_1,A0,A1)),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(P_1,hAPP_int_int(uminus_uminus_int,$f407(P_1,A0,A1))),hAPP_int_int(uminus_uminus_int,$f406(P_1,A0,A1))))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(P_1,A0),A1)).
% 115.46/114.24  0 [] -hBOOL(hAPP_P603027463t_bool(accp_P2006205492nt_int(norm_frac_rel),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,A0),A1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(P_1,$f407(P_1,A0,A1)),$f406(P_1,A0,A1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(P_1,A0),A1)).
% 115.46/114.24  0 [] -hBOOL(hAPP_P603027463t_bool(accp_P2006205492nt_int(upto_rel),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,A0),A1)))|hBOOL(hAPP_P603027463t_bool(accp_P2006205492nt_int(upto_rel),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,$f409(P_1,A0,A1)),$f408(P_1,A0,A1))))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(P_1,A0),A1)).
% 115.46/114.24  0 [] -hBOOL(hAPP_P603027463t_bool(accp_P2006205492nt_int(upto_rel),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,A0),A1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,$f409(P_1,A0,A1)),$f408(P_1,A0,A1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f409(P_1,A0,A1)),one_one_int)),$f408(P_1,A0,A1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(P_1,A0),A1)).
% 115.46/114.24  0 [] -hBOOL(hAPP_P603027463t_bool(accp_P2006205492nt_int(upto_rel),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,A0),A1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(P_1,$f409(P_1,A0,A1)),$f408(P_1,A0,A1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(P_1,A0),A1)).
% 115.46/114.24  0 [] -hBOOL(hAPP_P603027463t_bool(accp_P2006205492nt_int(lazy_small_lazy_rel),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,A0),A1)))|hBOOL(hAPP_P603027463t_bool(accp_P2006205492nt_int(lazy_small_lazy_rel),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,$f411(P_1,A0,A1)),$f410(P_1,A0,A1))))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(P_1,A0),A1)).
% 115.46/114.24  0 [] -hBOOL(hAPP_P603027463t_bool(accp_P2006205492nt_int(lazy_small_lazy_rel),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,A0),A1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f411(P_1,A0,A1)),$f410(P_1,A0,A1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(P_1,$f411(P_1,A0,A1)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f410(P_1,A0,A1)),one_one_int)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(P_1,A0),A1)).
% 115.46/114.24  0 [] -hBOOL(hAPP_P603027463t_bool(accp_P2006205492nt_int(lazy_small_lazy_rel),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,A0),A1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(P_1,$f411(P_1,A0,A1)),$f410(P_1,A0,A1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(P_1,A0),A1)).
% 115.46/114.24  0 [] hAPP_i1948725293t_bool(norRRset,M)=hAPP_i1948725293t_bool(bnorRset(hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,M),one_one_int)),M).
% 115.46/114.24  0 [] hAPP_int_int(ring_1_of_int_int,hAPP_nat_int(semiri1621563631at_int,N_1))=hAPP_nat_int(semiri1621563631at_int,N_1).
% 115.46/114.24  0 [] real_int=ring_1_of_int_real.
% 115.46/114.24  0 [] real_int=ring_1_of_int_real.
% 115.46/114.24  0 [] hAPP_complex_complex(cnj,hAPP_int_complex(ring_11397209091omplex,Z_1))=hAPP_int_complex(ring_11397209091omplex,Z_1).
% 115.46/114.24  0 [] hAPP_complex_real(re,hAPP_int_complex(ring_11397209091omplex,Z_1))=hAPP_int_real(ring_1_of_int_real,Z_1).
% 115.46/114.24  0 [] hAPP_int_complex(number528085621omplex,W)=hAPP_int_complex(ring_11397209091omplex,W).
% 115.46/114.24  0 [] hAPP_int_int(number_number_of_int,W)=hAPP_int_int(ring_1_of_int_int,W).
% 115.46/114.24  0 [] hAPP_int_real(number267125858f_real,X)=hAPP_int_real(ring_1_of_int_real,X).
% 115.46/114.24  0 [] hAPP_complex_real(im,hAPP_int_complex(ring_11397209091omplex,Z_1))=zero_zero_real.
% 115.46/114.24  0 [] phi(M)=hAPP_f957591787ol_nat(finite_card_int,hAPP_i1948725293t_bool(norRRset,M)).
% 115.46/114.24  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),M))|hAPP_int_int(legacy_zgcd(Aa),M)!=one_one_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Aa),$f412(Aa,M)),M)).
% 115.46/114.24  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),M))|hAPP_int_int(legacy_zgcd(Aa),M)!=one_one_int|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f412(Aa,M)),hAPP_i1948725293t_bool(norRRset,M))).
% 115.46/114.24  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),M))|hAPP_int_int(legacy_zgcd(Aa),M)!=one_one_int| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Aa),Y_1),M))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Y_1),hAPP_i1948725293t_bool(norRRset,M)))|Y_1=$f412(Aa,M).
% 115.46/114.24  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),M))|hAPP_int_int(legacy_zgcd(X_1),M)!=one_one_int|hAPP_f957591787ol_nat(finite_card_int,hAPP_i1948725293t_bool(noXRRset(M),X_1))=hAPP_f957591787ol_nat(finite_card_int,hAPP_i1948725293t_bool(norRRset,M)).
% 115.46/114.24  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),M))|hAPP_int_int(legacy_zgcd(X_1),M)!=one_one_int|hBOOL(hAPP_int_bool(is_RRset(hAPP_i1948725293t_bool(noXRRset(M),X_1)),M)).
% 115.46/114.24  0 [] -hBOOL(hAPP_int_bool(is_RRset(A),M))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Aa),A))|hAPP_int_int(legacy_zgcd(Aa),M)=one_one_int.
% 115.46/114.24  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),M))| -hBOOL(hAPP_int_bool(is_RRset(A),M))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Aa),Ba),M))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Aa),A))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Ba),A))|Aa=Ba.
% 115.46/114.24  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),M))| -hBOOL(hAPP_int_bool(is_RRset(A),M))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Aa),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Aa),hAPP_int_int(rRset2norRR(A,M),Aa)),M)).
% 115.46/114.24  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),M))| -hBOOL(hAPP_int_bool(is_RRset(A),M))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Aa),A))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(rRset2norRR(A,M),Aa)),hAPP_i1948725293t_bool(norRRset,M))).
% 115.46/114.24  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),M))| -hBOOL(hAPP_int_bool(is_RRset(A),M))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Aa),A))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(rRset2norRR(A,M),Aa)),hAPP_i1948725293t_bool(norRRset,M))).
% 115.46/114.24  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),M))| -hBOOL(hAPP_int_bool(is_RRset(A),M))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Aa),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Aa),hAPP_int_int(rRset2norRR(A,M),Aa)),M)).
% 115.46/114.24  0 [] -hBOOL(hAPP_int_bool(is_RRset(A),M))|hBOOL(hAPP_f215623910l_bool(hAPP_f628503027l_bool(member_fun_int_bool,A),rsetR(M))).
% 115.46/114.24  0 [] -hBOOL(hAPP_int_bool(is_RRset(A),M))|hAPP_f957591787ol_nat(finite_card_int,A)=phi(M).
% 115.46/114.24  0 [] hBOOL(hAPP_int_bool(is_RRset(A),M))| -hBOOL(hAPP_f215623910l_bool(hAPP_f628503027l_bool(member_fun_int_bool,A),rsetR(M)))|hAPP_f957591787ol_nat(finite_card_int,A)!=phi(M).
% 115.46/114.24  0 [] -hBOOL(hAPP_f215623910l_bool(hAPP_f628503027l_bool(member_fun_int_bool,A),rsetR(M)))|hBOOL(hAPP_f448129468l_bool(finite_finite_int,A)).
% 115.46/114.24  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),M))|hBOOL(hAPP_f215623910l_bool(hAPP_f628503027l_bool(member_fun_int_bool,hAPP_i1948725293t_bool(bnorRset(Aa),M)),rsetR(M))).
% 115.46/114.24  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),M))| -hBOOL(hAPP_int_bool(is_RRset(A),M))|image_int_int(rRset2norRR(A,M),A)=hAPP_i1948725293t_bool(norRRset,M).
% 115.46/114.24  0 [] 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)))).
% 115.46/114.24  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),M))| -hBOOL(hAPP_f448129468l_bool(resSet(M),A))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f414(F,A,M)),A))|hBOOL(hAPP_f448129468l_bool(resSet(M),image_int_int(F,A))).
% 115.46/114.24  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),M))| -hBOOL(hAPP_f448129468l_bool(resSet(M),A))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f413(F,A,M)),A))|hBOOL(hAPP_f448129468l_bool(resSet(M),image_int_int(F,A))).
% 115.46/114.24  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),M))| -hBOOL(hAPP_f448129468l_bool(resSet(M),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(F,$f414(F,A,M))),hAPP_int_int(F,$f413(F,A,M))),M))|hBOOL(hAPP_f448129468l_bool(resSet(M),image_int_int(F,A))).
% 115.46/114.25  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),M))| -hBOOL(hAPP_f448129468l_bool(resSet(M),A))|$f414(F,A,M)!=$f413(F,A,M)|hBOOL(hAPP_f448129468l_bool(resSet(M),image_int_int(F,A))).
% 115.46/114.25  0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))|hBOOL(hAPP_f448129468l_bool(finite_finite_int,image_nat_int(semiri1621563631at_int,A))).
% 115.46/114.25  0 [] hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))| -hBOOL(hAPP_f448129468l_bool(finite_finite_int,image_nat_int(semiri1621563631at_int,A))).
% 115.46/114.25  0 [] hAPP_f22106695ol_nat(finite_card_nat,A)=hAPP_f957591787ol_nat(finite_card_int,image_nat_int(semiri1621563631at_int,A)).
% 115.46/114.25  0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_nat_int(semiri1621563631at_int,X_1)),image_nat_int(semiri1621563631at_int,A))).
% 115.46/114.25  0 [] hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_nat_int(semiri1621563631at_int,X_1)),image_nat_int(semiri1621563631at_int,A))).
% 115.46/114.25  0 [] A!=B|image_nat_int(semiri1621563631at_int,A)=image_nat_int(semiri1621563631at_int,B).
% 115.46/114.25  0 [] A=B|image_nat_int(semiri1621563631at_int,A)!=image_nat_int(semiri1621563631at_int,B).
% 115.46/114.25  0 [] image_int_nat(nat,image_nat_int(semiri1621563631at_int,A))=A.
% 115.46/114.25  0 [] -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))).
% 115.46/114.25  0 [] 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))).
% 115.46/114.25  0 [] -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))).
% 115.46/114.25  0 [] 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))).
% 115.46/114.25  0 [] setS(Aa,Pa)=image_275383677t_bool(multInvPair(Aa,Pa),hAPP_i1948725293t_bool(sRStar,Pa)).
% 115.46/114.25  0 [] hBOOL(hAPP_f54304608l_bool(finite_finite_nat,S))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_2),$f415(S,M_2))).
% 115.46/114.25  0 [] hBOOL(hAPP_f54304608l_bool(finite_finite_nat,S))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f415(S,M_2)),S)).
% 115.46/114.25  0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,S))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,$f416(S)),N_2))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,N_2),S)).
% 115.46/114.25  0 [] hBOOL(hAPP_f54304608l_bool(finite_finite_nat,S))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_2),$f417(S,M_2))).
% 115.46/114.25  0 [] hBOOL(hAPP_f54304608l_bool(finite_finite_nat,S))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f417(S,M_2)),S)).
% 115.46/114.25  0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,S))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f418(S)),N_2))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,N_2),S)).
% 115.46/114.25  0 [] 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)).
% 115.46/114.25  0 [] -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))).
% 115.46/114.25  0 [] -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))).
% 115.46/114.25  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,X),Y)=hAPP_nat_nat(nat_gcd(X),Y).
% 115.46/114.25  0 [] -hBOOL(hAPP_f448129468l_bool(nat_nat_set,A))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1)).
% 115.46/114.25  0 [] -hBOOL(hAPP_f448129468l_bool(nat_nat_set,S))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),S))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_2)).
% 115.46/114.25  0 [] hBOOL(hAPP_f448129468l_bool(nat_nat_set,S))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f419(S)),S)).
% 115.46/114.25  0 [] hBOOL(hAPP_f448129468l_bool(nat_nat_set,S))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),$f419(S))).
% 115.46/114.25  0 [] hBOOL(hAPP_f448129468l_bool(nat_nat_set,image_nat_int(semiri1621563631at_int,C_2))).
% 115.46/114.25  0 [] -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).
% 115.46/114.25  0 [] -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).
% 115.46/114.25  0 [] Y!=zero_zero_nat|hAPP_nat_nat(nat_gcd(X),Y)=X.
% 115.46/114.25  0 [] 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)).
% 115.46/114.25  0 [] -hBOOL(hAPP_f448129468l_bool(nat_nat_set,A))|image_nat_int(semiri1621563631at_int,image_int_nat(nat,A))=A.
% 115.46/114.25  0 [] -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))).
% 115.46/114.25  0 [] -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))).
% 115.46/114.25  0 [] -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)).
% 115.46/114.25  0 [] -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))).
% 115.46/114.25  0 [] -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))).
% 115.46/114.25  0 [] -hBOOL(hAPP_P1555980039t_bool(accp_P490777396at_nat(nat_gcd_rel),hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,X_1),Y_2)))|Y_2!=zero_zero_nat|hAPP_nat_nat(nat_gcd(X_1),Y_2)=X_1.
% 115.46/114.25  0 [] -hBOOL(hAPP_P1555980039t_bool(accp_P490777396at_nat(nat_gcd_rel),hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,X_1),Y_2)))|Y_2=zero_zero_nat|hAPP_nat_nat(nat_gcd(X_1),Y_2)=hAPP_nat_nat(nat_gcd(Y_2),hAPP_nat_nat(div_mod_nat(X_1),Y_2)).
% 115.46/114.25  0 [] 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)))).
% 115.46/114.25  0 [] -hBOOL(hAPP_P1555980039t_bool(accp_P490777396at_nat(nat_gcd_rel),hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,A0),A1)))|hBOOL(hAPP_P1555980039t_bool(accp_P490777396at_nat(nat_gcd_rel),hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,$f421(P_1,A0,A1)),$f420(P_1,A0,A1))))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_1,A0),A1)).
% 115.46/114.25  0 [] -hBOOL(hAPP_P1555980039t_bool(accp_P490777396at_nat(nat_gcd_rel),hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,A0),A1)))|$f420(P_1,A0,A1)=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_1,$f420(P_1,A0,A1)),hAPP_nat_nat(div_mod_nat($f421(P_1,A0,A1)),$f420(P_1,A0,A1))))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_1,A0),A1)).
% 115.46/114.25  0 [] -hBOOL(hAPP_P1555980039t_bool(accp_P490777396at_nat(nat_gcd_rel),hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,A0),A1)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_1,$f421(P_1,A0,A1)),$f420(P_1,A0,A1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_1,A0),A1)).
% 115.46/114.25  0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,N_4))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),N_4))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_2),$f422(N_4))).
% 115.46/114.25  0 [] hBOOL(hAPP_f54304608l_bool(finite_finite_nat,N_4))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f423(N_4,M_2)),N_4)).
% 115.46/114.25  0 [] hBOOL(hAPP_f54304608l_bool(finite_finite_nat,N_4))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,$f423(N_4,M_2)),M_2)).
% 115.46/114.25  0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,N_4))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),N_4))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_2),$f424(N_4))).
% 115.46/114.25  0 [] hBOOL(hAPP_f54304608l_bool(finite_finite_nat,N_4))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f425(N_4,M_2)),N_4)).
% 115.46/114.25  0 [] hBOOL(hAPP_f54304608l_bool(finite_finite_nat,N_4))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f425(N_4,M_2)),M_2)).
% 115.46/114.25  0 [] hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f426(N,N_4)),N_4))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,N_4)).
% 115.46/114.25  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f426(N,N_4)),N))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,N_4)).
% 115.46/114.25  0 [] 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))).
% 115.46/114.25  0 [] hBOOL(hAPP_f448129468l_bool(finite_finite_int,hAPP_i1948725293t_bool(ord_gr1297742076an_int(L),U))).
% 115.46/114.25  0 [] -hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,X_1),field_1210416355s_real))|$f427(X_1)!=zero_zero_nat.
% 115.46/114.25  0 [] -hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,X_1),field_1210416355s_real))|hAPP_real_real(abs_abs_real,X_1)=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_nat_real(real_nat,$f428(X_1))),hAPP_nat_real(real_nat,$f427(X_1))).
% 115.46/114.25  0 [] -hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,X_1),field_1210416355s_real))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,$f428(X_1)),$f427(X_1))=one_one_nat.
% 115.46/114.25  0 [] hBOOL(hAPP_f54304608l_bool(finite_finite_nat,hAPP_n1699378549t_bool(ord_gr660468384an_nat(L),U))).
% 115.46/114.25  0 [] hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,hAPP_nat_real(real_nat,N)),field_1210416355s_real)).
% 115.46/114.25  0 [] hAPP_f22106695ol_nat(finite_card_nat,hAPP_n1699378549t_bool(ord_gr660468384an_nat(L),U))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,U),hAPP_nat_nat(suc,L)).
% 115.46/114.25  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_2))|hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,$f429(Y_2,X_1)),field_1210416355s_real)).
% 115.46/114.25  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),$f429(Y_2,X_1))).
% 115.46/114.25  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,$f429(Y_2,X_1)),Y_2)).
% 115.46/114.25  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba))| -hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,X_1),hAPP_r1134773055l_bool(ord_gr788844697n_real(Aa),Ba)))| -hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,Y_2),hAPP_r1134773055l_bool(ord_gr788844697n_real(Aa),Ba)))|hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,$f430(F,Y_2,X_1,Aa,Ba)),hAPP_r1134773055l_bool(ord_gr788844697n_real(Aa),Ba)))|hAPP_real_real(F,X_1)=hAPP_real_real(F,Y_2).
% 115.46/114.25  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba))| -hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,X_1),hAPP_r1134773055l_bool(ord_gr788844697n_real(Aa),Ba)))| -hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,Y_2),hAPP_r1134773055l_bool(ord_gr788844697n_real(Aa),Ba)))| -hBOOL(hAPP_real_bool(deriv_real(F,$f430(F,Y_2,X_1,Aa,Ba)),zero_zero_real))|hAPP_real_real(F,X_1)=hAPP_real_real(F,Y_2).
% 115.46/114.25  0 [] -hBOOL(hAPP_rat_bool(iszero_rat,hAPP_int_rat(number_number_of_rat,K_1)))|hBOOL(hAPP_int_bool(iszero_int,hAPP_int_int(number_number_of_int,K_1))).
% 115.46/114.25  0 [] hBOOL(hAPP_rat_bool(iszero_rat,hAPP_int_rat(number_number_of_rat,K_1)))| -hBOOL(hAPP_int_bool(iszero_int,hAPP_int_int(number_number_of_int,K_1))).
% 115.46/114.25  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_2))|hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,$f431(X_1,Y_2)),field_1210416355s_real)).
% 115.46/114.25  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),$f431(X_1,Y_2))).
% 115.46/114.25  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,$f431(X_1,Y_2)),Y_2)).
% 115.46/114.25  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_2),X_1))|comple124823625p_real(hAPP_r1134773055l_bool(ord_gr788844697n_real(Y_2),X_1))=X_1.
% 115.46/114.25  0 [] -hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,X_1),X_3))|hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,$f432(X_1,X_3,Z)),X_3))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),comple124823625p_real(X_3))).
% 115.46/114.25  0 [] -hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,X_1),X_3))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f432(X_1,X_3,Z)),Z))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),comple124823625p_real(X_3))).
% 115.46/114.25  0 [] -hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,X_1),X_3))|hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,$f433(Z_2,X_1,X_3)),X_3))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),comple124823625p_real(X_3))).
% 115.46/114.25  0 [] -hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,X_1),X_3))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f433(Z_2,X_1,X_3)),Z_2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),comple124823625p_real(X_3))).
% 115.46/114.25  0 [] frct(hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,hAPP_int_int(number_number_of_int,K_2)),one_one_int))=hAPP_int_rat(number_number_of_rat,K_2).
% 115.46/114.25  0 [] frct(hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,K_2),zero_zero_int))=zero_zero_rat.
% 115.46/114.25  0 [] frct(hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,zero_zero_int),K_2))=zero_zero_rat.
% 115.46/114.25  0 [] frct(hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,one_one_int),one_one_int))=one_one_rat.
% 115.46/114.25  0 [] frct(hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,hAPP_int_int(number_number_of_int,K_2)),hAPP_int_int(number_number_of_int,L_2)))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(inverse_divide_rat,hAPP_int_rat(number_number_of_rat,K_2)),hAPP_int_rat(number_number_of_rat,L_2)).
% 115.46/114.25  0 [] frct(hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,one_one_int),hAPP_int_int(number_number_of_int,K_2)))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(inverse_divide_rat,one_one_rat),hAPP_int_rat(number_number_of_rat,K_2)).
% 115.46/114.25  0 [] -hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,Z_2),X_3))|hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,$f434(Z_2,X_3)),X_3))|comple124823625p_real(X_3)=Z_2.
% 115.46/114.25  0 [] -hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,Z_2),X_3))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f434(Z_2,X_3)),Z_2))|comple124823625p_real(X_3)=Z_2.
% 115.46/114.25  0 [] -hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,X_1),X_3))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_2),X_1))|hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,$f435(Z_2,Y_2,X_1,X_3)),X_3))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_2),comple124823625p_real(X_3))).
% 115.46/114.25  0 [] -hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,X_1),X_3))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_2),X_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f435(Z_2,Y_2,X_1,X_3)),Z_2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_2),comple124823625p_real(X_3))).
% 115.46/114.25  0 [] -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).
% 115.46/114.25  0 [] 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.
% 115.46/114.25  0 [] Q_1!=zero_zero_rat|hAPP_rat_rat(sgn_sgn_rat,Q_1)=zero_zero_rat.
% 115.46/114.25  0 [] 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.
% 115.46/114.25  0 [] 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)=hAPP_rat_rat(uminus_uminus_rat,one_one_rat).
% 115.46/114.25  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(inverse_divide_rat,Q_1),R_3)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Q_1),hAPP_rat_rat(inverse_inverse_rat,R_3)).
% 115.46/114.25  0 [] -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))).
% 115.46/114.25  0 [] 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).
% 115.46/114.25  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,Q_1),R_3)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,Q_1),hAPP_rat_rat(uminus_uminus_rat,R_3)).
% 115.46/114.25  0 [] quotient_of(Aa)!=quotient_of(Ba)|Aa=Ba.
% 115.46/114.25  0 [] quotient_of(Aa)=quotient_of(Ba)|Aa!=Ba.
% 115.46/114.25  0 [] quotient_of(A_2)!=quotient_of(B_1)|A_2=B_1.
% 115.46/114.25  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Z_2),W_1))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Z_2),W_1)).
% 115.46/114.25  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Z_2),W_1))|Z_2!=W_1.
% 115.46/114.25  0 [] hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Z_2),W_1))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Z_2),W_1))|Z_2=W_1.
% 115.46/114.25  0 [] quotient_of(R_3)!=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)).
% 115.46/114.25  0 [] quotient_of(one_one_rat)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,one_one_int),one_one_int).
% 115.46/114.25  0 [] normalize(R_3)!=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)).
% 115.46/114.25  0 [] 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).
% 115.46/114.25  0 [] Q_1=zero_zero_int|S_2=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_3),S_2))|hAPP_int_int(hAPP_int_fun_int_int(times_times_int,P_3),S_2)=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,R_3),Q_1).
% 115.46/114.25  0 [] quotient_of(zero_zero_rat)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,zero_zero_int),one_one_int).
% 115.46/114.25  0 [] 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).
% 115.46/114.25  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),R_3))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),$f437(R_3))).
% 115.46/114.25  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),R_3))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),$f436(R_3))).
% 115.46/114.25  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),R_3))|R_3=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,$f437(R_3)),$f436(R_3)).
% 115.46/114.25  0 [] -hBOOL(hAPP_f526364711l_bool(hAPP_P1062890741l_bool(member2143287562nt_int,hAPP_P230595783nt_int(hAPP_P941956607nt_int(produc883642259nt_int,X_1),Y_2)),ratrel))|hAPP_P1175774780nt_int(product_snd_int_int,X_1)!=zero_zero_int.
% 115.46/114.25  0 [] -hBOOL(hAPP_f526364711l_bool(hAPP_P1062890741l_bool(member2143287562nt_int,hAPP_P230595783nt_int(hAPP_P941956607nt_int(produc883642259nt_int,X_1),Y_2)),ratrel))|hAPP_P1175774780nt_int(product_snd_int_int,Y_2)!=zero_zero_int.
% 115.46/114.25  0 [] -hBOOL(hAPP_f526364711l_bool(hAPP_P1062890741l_bool(member2143287562nt_int,hAPP_P230595783nt_int(hAPP_P941956607nt_int(produc883642259nt_int,X_1),Y_2)),ratrel))|hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_P1175774780nt_int(product_fst_int_int,X_1)),hAPP_P1175774780nt_int(product_snd_int_int,Y_2))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_P1175774780nt_int(product_fst_int_int,Y_2)),hAPP_P1175774780nt_int(product_snd_int_int,X_1)).
% 115.46/114.25  0 [] hBOOL(hAPP_f526364711l_bool(hAPP_P1062890741l_bool(member2143287562nt_int,hAPP_P230595783nt_int(hAPP_P941956607nt_int(produc883642259nt_int,X_1),Y_2)),ratrel))|hAPP_P1175774780nt_int(product_snd_int_int,X_1)=zero_zero_int|hAPP_P1175774780nt_int(product_snd_int_int,Y_2)=zero_zero_int|hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_P1175774780nt_int(product_fst_int_int,X_1)),hAPP_P1175774780nt_int(product_snd_int_int,Y_2))!=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_P1175774780nt_int(product_fst_int_int,Y_2)),hAPP_P1175774780nt_int(product_snd_int_int,X_1)).
% 115.46/114.25  0 [] 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)).
% 115.46/114.25  0 [] ratreal(hAPP_rat_rat(hAPP_rat_fun_rat_rat(inverse_divide_rat,hAPP_int_rat(number_number_of_rat,R_3)),hAPP_int_rat(number_number_of_rat,S_2)))=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_int_real(number267125858f_real,R_3)),hAPP_int_real(number267125858f_real,S_2)).
% 115.46/114.25  0 [] quotient_of(hAPP_int_rat(hAPP_int_fun_int_rat(fract,A_2),B_1))!=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_2),B_1).
% 115.46/114.25  0 [] hAPP_rat_rat(uminus_uminus_rat,hAPP_int_rat(hAPP_int_fun_int_rat(fract,A_2),B_1))=hAPP_int_rat(hAPP_int_fun_int_rat(fract,hAPP_int_int(uminus_uminus_int,A_2)),B_1).
% 115.46/114.25  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(inverse_divide_rat,hAPP_int_rat(hAPP_int_fun_int_rat(fract,A_2),B_1)),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_2),D_3)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_1),C_1)).
% 115.46/114.25  0 [] 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)).
% 115.46/114.25  0 [] hAPP_int_rat(hAPP_int_fun_int_rat(fract,K_2),one_one_int)=hAPP_int_rat(ring_1_of_int_rat,K_2).
% 115.46/114.25  0 [] hAPP_int_rat(ring_1_of_int_rat,K_2)=hAPP_int_rat(hAPP_int_fun_int_rat(fract,K_2),one_one_int).
% 115.46/114.25  0 [] hAPP_int_rat(hAPP_int_fun_int_rat(fract,zero_zero_int),K_2)=zero_zero_rat.
% 115.46/114.25  0 [] hAPP_int_rat(hAPP_int_fun_int_rat(fract,zero_zero_int),A_2)=hAPP_int_rat(hAPP_int_fun_int_rat(fract,zero_zero_int),C_1).
% 115.46/114.25  0 [] hAPP_int_rat(hAPP_int_fun_int_rat(fract,K_2),zero_zero_int)=zero_zero_rat.
% 115.46/114.25  0 [] one_one_rat=hAPP_int_rat(hAPP_int_fun_int_rat(fract,one_one_int),one_one_int).
% 115.46/114.25  0 [] hAPP_int_rat(hAPP_int_fun_int_rat(fract,one_one_int),one_one_int)=one_one_rat.
% 115.46/114.25  0 [] hAPP_int_rat(hAPP_int_fun_int_rat(fract,A_2),zero_zero_int)=hAPP_int_rat(hAPP_int_fun_int_rat(fract,zero_zero_int),one_one_int).
% 115.46/114.25  0 [] 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).
% 115.46/114.25  0 [] 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).
% 115.46/114.25  0 [] hAPP_int_rat(number_number_of_rat,W)=hAPP_int_rat(hAPP_int_fun_int_rat(fract,W),one_one_int).
% 115.46/114.25  0 [] archim1246769320r_real(ratreal(X))=archim791455193or_rat(X).
% 115.46/114.25  0 [] archim791455193or_rat(hAPP_int_rat(hAPP_int_fun_int_rat(fract,A_2),B_1))=hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_2),B_1).
% 115.46/114.25  0 [] hAPP_rat_rat(inverse_inverse_rat,hAPP_int_rat(hAPP_int_fun_int_rat(fract,A_2),B_1))=hAPP_int_rat(hAPP_int_fun_int_rat(fract,B_1),A_2).
% 115.46/114.25  0 [] hAPP_int_rat(hAPP_int_fun_int_rat(fract,hAPP_int_int(uminus_uminus_int,A_2)),hAPP_int_int(uminus_uminus_int,B_1))=hAPP_int_rat(hAPP_int_fun_int_rat(fract,A_2),B_1).
% 115.46/114.25  0 [] 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_2)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_1),B_1))=hAPP_int_rat(hAPP_int_fun_int_rat(fract,A_2),B_1).
% 115.46/114.25  0 [] Ba=zero_zero_int|D=zero_zero_int|hAPP_int_rat(hAPP_int_fun_int_rat(fract,Aa),Ba)!=hAPP_int_rat(hAPP_int_fun_int_rat(fract,C),D)|hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Aa),D)=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),Ba).
% 115.46/114.25  0 [] Ba=zero_zero_int|D=zero_zero_int|hAPP_int_rat(hAPP_int_fun_int_rat(fract,Aa),Ba)=hAPP_int_rat(hAPP_int_fun_int_rat(fract,C),D)|hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Aa),D)!=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),Ba).
% 115.46/114.25  0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_int_rat(hAPP_int_fun_int_rat(fract,A_2),B_1)),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_2),C_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_1),D_3)).
% 115.46/114.25  0 [] hAPP_rat_rat(abs_abs_rat,hAPP_int_rat(hAPP_int_fun_int_rat(fract,A_2),B_1))=hAPP_int_rat(hAPP_int_fun_int_rat(fract,hAPP_int_int(abs_abs_int,A_2)),hAPP_int_int(abs_abs_int,B_1)).
% 115.46/114.25  0 [] normalize(hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,A_2),B_1))!=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_2),B_1).
% 115.46/114.25  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,ratreal(X_1)),ratreal(Y_2)))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_1),Y_2)).
% 115.46/114.25  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,ratreal(X_1)),ratreal(Y_2)))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_1),Y_2)).
% 115.46/114.25  0 [] zero_zero_real=ratreal(zero_zero_rat).
% 115.46/114.25  0 [] ratreal(zero_zero_rat)=zero_zero_real.
% 115.46/114.25  0 [] hAPP_int_real(number267125858f_real,K_2)=ratreal(hAPP_int_rat(number_number_of_rat,K_2)).
% 115.46/114.25  0 [] ratreal(hAPP_int_rat(number_number_of_rat,K_2))=hAPP_int_real(number267125858f_real,K_2).
% 115.46/114.25  0 [] one_one_real=ratreal(one_one_rat).
% 115.46/114.25  0 [] ratreal(one_one_rat)=one_one_real.
% 115.46/114.25  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,ratreal(X_1)),ratreal(Y_2)))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_1),Y_2)).
% 115.46/114.25  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,ratreal(X_1)),ratreal(Y_2)))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_1),Y_2)).
% 115.46/114.25  0 [] 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)).
% 115.46/114.25  0 [] 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)).
% 115.46/114.25  0 [] hAPP_real_real(uminus_uminus_real,ratreal(X))=ratreal(hAPP_rat_rat(uminus_uminus_rat,X)).
% 115.46/114.25  0 [] 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)).
% 115.46/114.25  0 [] 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)).
% 115.46/114.25  0 [] hAPP_real_real(inverse_inverse_real,ratreal(X))=ratreal(hAPP_rat_rat(inverse_inverse_rat,X)).
% 115.46/114.25  0 [] zero_zero_rat=hAPP_int_rat(hAPP_int_fun_int_rat(fract,zero_zero_int),one_one_int).
% 115.46/114.25  0 [] 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).
% 115.46/114.25  0 [] 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).
% 115.46/114.25  0 [] 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)).
% 115.46/114.25  0 [] quotient_of(hAPP_int_rat(hAPP_int_fun_int_rat(fract,A_2),B_1))=normalize(hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,A_2),B_1)).
% 115.46/114.25  0 [] 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)).
% 115.46/114.25  0 [] Ba=zero_zero_int|D=zero_zero_int| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_int_rat(hAPP_int_fun_int_rat(fract,Aa),Ba)),hAPP_int_rat(hAPP_int_fun_int_rat(fract,C),D)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Aa),D)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Ba),D))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),Ba)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Ba),D)))).
% 115.46/114.25  0 [] Ba=zero_zero_int|D=zero_zero_int|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_int_rat(hAPP_int_fun_int_rat(fract,Aa),Ba)),hAPP_int_rat(hAPP_int_fun_int_rat(fract,C),D)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Aa),D)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Ba),D))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),Ba)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Ba),D)))).
% 115.46/114.25  0 [] hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,ratreal(hAPP_int_rat(number_number_of_rat,R_3))),ratreal(hAPP_int_rat(number_number_of_rat,S_2)))=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_int_real(number267125858f_real,R_3)),hAPP_int_real(number267125858f_real,S_2)).
% 115.46/114.25  0 [] hAPP_rat_rat(sgn_sgn_rat,hAPP_int_rat(hAPP_int_fun_int_rat(fract,A_2),B_1))=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_2)),hAPP_int_int(sgn_sgn_int,B_1))).
% 115.46/114.25  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Ba))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_int_rat(hAPP_int_fun_int_rat(fract,Aa),Ba)),zero_zero_rat))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),zero_zero_int)).
% 115.46/114.25  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Ba))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_int_rat(hAPP_int_fun_int_rat(fract,Aa),Ba)),zero_zero_rat))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),zero_zero_int)).
% 115.46/114.25  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Ba))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),hAPP_int_rat(hAPP_int_fun_int_rat(fract,Aa),Ba)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Aa)).
% 115.46/114.25  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Ba))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),hAPP_int_rat(hAPP_int_fun_int_rat(fract,Aa),Ba)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Aa)).
% 115.46/114.25  0 [] Ba=zero_zero_int|D=zero_zero_int| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_int_rat(hAPP_int_fun_int_rat(fract,Aa),Ba)),hAPP_int_rat(hAPP_int_fun_int_rat(fract,C),D)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Aa),D)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Ba),D))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),Ba)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Ba),D)))).
% 115.46/114.25  0 [] Ba=zero_zero_int|D=zero_zero_int|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_int_rat(hAPP_int_fun_int_rat(fract,Aa),Ba)),hAPP_int_rat(hAPP_int_fun_int_rat(fract,C),D)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Aa),D)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Ba),D))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),Ba)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Ba),D)))).
% 115.46/114.25  0 [] B_1=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_2),B_1)),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_2),D_3)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_1),B_1))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_1),D_3)).
% 115.46/114.25  0 [] B_1=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_2),B_1)),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_2),D_3)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_1),B_1))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_1),D_3)).
% 115.46/114.25  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Ba))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,one_one_rat),hAPP_int_rat(hAPP_int_fun_int_rat(fract,Aa),Ba)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Ba),Aa)).
% 115.46/114.25  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Ba))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,one_one_rat),hAPP_int_rat(hAPP_int_fun_int_rat(fract,Aa),Ba)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Ba),Aa)).
% 115.46/114.25  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Ba))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_int_rat(hAPP_int_fun_int_rat(fract,Aa),Ba)),one_one_rat))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),Ba)).
% 115.46/114.25  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Ba))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_int_rat(hAPP_int_fun_int_rat(fract,Aa),Ba)),one_one_rat))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),Ba)).
% 115.46/114.25  0 [] N_1=zero_zero_int|hAPP_int_rat(hAPP_int_fun_int_rat(fract,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,M_1),N_1)),N_1)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_int_rat(hAPP_int_fun_int_rat(fract,M_1),N_1)),one_one_rat).
% 115.46/114.25  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Ba))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_int_rat(hAPP_int_fun_int_rat(fract,Aa),Ba)),zero_zero_rat))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),zero_zero_int)).
% 115.46/114.25  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Ba))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_int_rat(hAPP_int_fun_int_rat(fract,Aa),Ba)),zero_zero_rat))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),zero_zero_int)).
% 115.46/114.25  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Ba))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),hAPP_int_rat(hAPP_int_fun_int_rat(fract,Aa),Ba)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Aa)).
% 115.46/114.25  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Ba))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),hAPP_int_rat(hAPP_int_fun_int_rat(fract,Aa),Ba)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Aa)).
% 115.46/114.25  0 [] 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_2),B_1))),hAPP_int_rat(hAPP_int_fun_int_rat(fract,A_2),B_1))).
% 115.46/114.25  0 [] hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_int_rat(hAPP_int_fun_int_rat(fract,A_2),B_1)),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_2),B_1)),one_one_int)))).
% 115.46/114.25  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Ba))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,one_one_rat),hAPP_int_rat(hAPP_int_fun_int_rat(fract,Aa),Ba)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Ba),Aa)).
% 115.46/114.25  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Ba))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,one_one_rat),hAPP_int_rat(hAPP_int_fun_int_rat(fract,Aa),Ba)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Ba),Aa)).
% 115.46/114.25  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Ba))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_int_rat(hAPP_int_fun_int_rat(fract,Aa),Ba)),one_one_rat))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),Ba)).
% 115.46/114.25  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Ba))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_int_rat(hAPP_int_fun_int_rat(fract,Aa),Ba)),one_one_rat))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Aa),Ba)).
% 115.46/114.25  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),$f438(Qa,P_1)))|hBOOL(hAPP_rat_bool(P_1,Qa)).
% 115.46/114.25  0 [] -hBOOL(hAPP_rat_bool(P_1,hAPP_int_rat(hAPP_int_fun_int_rat(fract,$f439(Qa,P_1)),$f438(Qa,P_1))))|hBOOL(hAPP_rat_bool(P_1,Qa)).
% 115.46/114.25  0 [] hAPP_P1975530577nt_int(adjust(Ba),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Qa),R_2))=hAPP_P1975530577nt_int(hAPP_P1145851913nt_int(hAPP_b40753821nt_int(if_Pro1731782967nt_int,hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,R_2),Ba))),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)))),Qa)),one_one_int)),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,R_2),Ba))),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)))),Qa)),R_2)).
% 115.46/114.25  0 [] 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_2),zero_zero_real)).
% 115.46/114.25  0 [] hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),K_1)))).
% 115.46/114.25  0 [] hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_e_q_nat),K_1)))).
% 115.46/114.25  0 [] hBOOL(hAPP_f54304608l_bool(nat_tr160667106at_int(semiri1621563631at_int),cOMBK_bool_nat(fTrue))).
% 115.46/114.25  0 [] 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))).
% 115.46/114.25  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),N))|hAPP_nat_int(semiri1621563631at_int,hAPP_f957591787ol_nat(finite_card_int,collect_int(hAPP_f1805168059t_bool(hAPP_f727283836t_bool(cOMBS_int_bool_bool,hAPP_f2144054103l_bool(hAPP_f1734373249l_bool(cOMBB_1652995168ol_int,fconj),hAPP_i1948725293t_bool(ord_less_int,zero_zero_int))),hAPP_i1948725293t_bool(hAPP_f428220345t_bool(cOMBC_int_int_bool,ord_less_e_q_int),N)))))=N.
% 115.46/114.25  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),N))|hAPP_f957591787ol_nat(finite_card_int,collect_int(hAPP_f1805168059t_bool(hAPP_f727283836t_bool(cOMBS_int_bool_bool,hAPP_f2144054103l_bool(hAPP_f1734373249l_bool(cOMBB_1652995168ol_int,fconj),hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int))),hAPP_i1948725293t_bool(hAPP_f428220345t_bool(cOMBC_int_int_bool,ord_less_int),N))))=hAPP_int_nat(nat,N).
% 115.46/114.25  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),N))|hAPP_f957591787ol_nat(finite_card_int,collect_int(hAPP_f1805168059t_bool(hAPP_f727283836t_bool(cOMBS_int_bool_bool,hAPP_f2144054103l_bool(hAPP_f1734373249l_bool(cOMBB_1652995168ol_int,fconj),hAPP_i1948725293t_bool(ord_less_int,zero_zero_int))),hAPP_i1948725293t_bool(hAPP_f428220345t_bool(cOMBC_int_int_bool,ord_less_e_q_int),N))))=hAPP_int_nat(nat,N).
% 115.46/114.25  0 [] hBOOL(hAPP_f448129468l_bool(finite_finite_int,collect_int(hAPP_f1805168059t_bool(hAPP_f727283836t_bool(cOMBS_int_bool_bool,hAPP_f2144054103l_bool(hAPP_f1734373249l_bool(cOMBB_1652995168ol_int,fconj),hAPP_i1948725293t_bool(ord_less_int,zero_zero_int))),hAPP_i1948725293t_bool(hAPP_f428220345t_bool(cOMBC_int_int_bool,ord_less_e_q_int),N))))).
% 115.46/114.25  0 [] hBOOL(hAPP_f448129468l_bool(finite_finite_int,collect_int(hAPP_f1805168059t_bool(hAPP_f727283836t_bool(cOMBS_int_bool_bool,hAPP_f2144054103l_bool(hAPP_f1734373249l_bool(cOMBB_1652995168ol_int,fconj),hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int))),hAPP_i1948725293t_bool(hAPP_f428220345t_bool(cOMBC_int_int_bool,ord_less_int),N))))).
% 115.46/114.25  0 [] hBOOL(hAPP_real_bool(deriv_real(hAPP_f1950183573l_real(hAPP_f1992866895l_real(cOMBB_real_real_real,cos),hAPP_r1250527377l_real(hAPP_f203520653l_real(cOMBC_real_real_real,plus_plus_real),K_1)),Xa_1),hAPP_real_real(uminus_uminus_real,hAPP_real_real(sin,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Xa_1),K_1))))).
% 115.46/114.25  0 [] hAPP_n1699378549t_bool(ord_less_nat,X_2)=hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,X_2)).
% 115.46/114.25  0 [] hBOOL(hAPP_real_bool(deriv_real(hAPP_f1950183573l_real(hAPP_f2069516469l_real(cOMBS_real_real_real,hAPP_f556082547l_real(hAPP_f1960414057l_real(cOMBB_882763271l_real,times_times_real),sin)),sin),X_1),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(cos,X_1)),hAPP_real_real(sin,X_1))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(cos,X_1)),hAPP_real_real(sin,X_1))))).
% 115.46/114.25  0 [] hBOOL(hAPP_real_bool(deriv_real(hAPP_f1950183573l_real(hAPP_f1992866895l_real(cOMBB_real_real_real,sin),hAPP_r1250527377l_real(hAPP_f203520653l_real(cOMBC_real_real_real,plus_plus_real),K_1)),Xa_1),hAPP_real_real(cos,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Xa_1),K_1)))).
% 115.46/114.25  0 [] hAPP_f22106695ol_nat(finite_card_nat,collect_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_e_q_nat),X_1)))=hAPP_nat_nat(suc,X_1).
% 115.46/114.25  0 [] hAPP_f22106695ol_nat(finite_card_nat,collect_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_e_q_nat),N)))=hAPP_nat_nat(suc,N).
% 115.46/114.25  0 [] hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_e_q_nat),X_1)))).
% 115.46/114.25  0 [] 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)).
% 115.46/114.25  0 [] 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)))).
% 115.46/114.25  0 [] 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)))).
% 115.46/114.25  0 [] hBOOL(hAPP_f448129468l_bool(finite_finite_int,collect_int(hAPP_f1805168059t_bool(hAPP_f727283836t_bool(cOMBS_int_bool_bool,hAPP_f2144054103l_bool(hAPP_f1734373249l_bool(cOMBB_1652995168ol_int,fconj),hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int))),hAPP_i1948725293t_bool(hAPP_f428220345t_bool(cOMBC_int_int_bool,ord_less_e_q_int),N))))).
% 115.46/114.25  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),one_one_real))|hBOOL(bse_q_real(hAPP_r474017924t_real(power_power_real,X_1))).
% 115.46/114.25  0 [] -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).
% 115.46/114.25  0 [] 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))).
% 115.46/114.25  0 [] M=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),M)))).
% 115.46/114.25  0 [] 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)))).
% 115.46/114.25  0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(prime))).
% 115.46/114.25  0 [] -hBOOL(cauchy_complex(X_3))|hBOOL(cauchy_complex(hAPP_f1646117269omplex(hAPP_f1457396693omplex(cOMBB_117013006ex_nat,cnj),X_3))).
% 115.46/114.25  0 [] -hBOOL(cauchy_complex(X_3))|hBOOL(cauchy_real(hAPP_f1290670424t_real(hAPP_f327026105t_real(cOMBB_722610049al_nat,re),X_3))).
% 115.46/114.25  0 [] -hBOOL(cauchy_complex(X_3))|hBOOL(cauchy_real(hAPP_f1290670424t_real(hAPP_f327026105t_real(cOMBB_722610049al_nat,im),X_3))).
% 115.46/114.25  0 [] -hBOOL(hAPP_real_bool(deriv_real(G,X_1),M))|hBOOL(hAPP_real_bool(deriv_real(hAPP_f1950183573l_real(hAPP_f1992866895l_real(cOMBB_real_real_real,cos),G),X_1),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(uminus_uminus_real,hAPP_real_real(sin,hAPP_real_real(G,X_1)))),M))).
% 115.46/114.25  0 [] -hBOOL(hAPP_real_bool(deriv_real(G,X_1),M))|hBOOL(hAPP_real_bool(deriv_real(hAPP_f1950183573l_real(hAPP_f1992866895l_real(cOMBB_real_real_real,sin),G),X_1),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(cos,hAPP_real_real(G,X_1))),M))).
% 115.46/114.25  0 [] hAPP_f22106695ol_nat(finite_card_nat,collect_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),N)))=N.
% 115.46/114.25  0 [] hAPP_f22106695ol_nat(finite_card_nat,collect_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),X_1)))=X_1.
% 115.46/114.25  0 [] hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),X_1)))).
% 115.46/114.25  0 [] 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))))).
% 115.46/114.25  0 [] 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))).
% 115.46/114.25  0 [] hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,zero_zero_nat),M_3))|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_3))),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_3))),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),hAPP_nat_nat(suc,I_1))))).
% 115.46/114.25  0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,zero_zero_nat),M_3))|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_3))),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),hAPP_nat_nat(suc,I_1)))))!=zero_zero_nat.
% 115.46/114.25  0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,zero_zero_nat),M_3))|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_3))),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_3))),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),hAPP_nat_nat(suc,I_1))))).
% 115.46/114.25  0 [] hBOOL(hAPP_f448129468l_bool(finite_finite_int,collect_int(hAPP_f1805168059t_bool(hAPP_f727283836t_bool(cOMBS_int_bool_bool,hAPP_f2144054103l_bool(hAPP_f1734373249l_bool(cOMBB_1652995168ol_int,fconj),hAPP_i1948725293t_bool(ord_less_int,zero_zero_int))),hAPP_i1948725293t_bool(hAPP_f428220345t_bool(cOMBC_int_int_bool,ord_less_int),N))))).
% 115.46/114.25  0 [] hAPP_i1948725293t_bool(noXRRset(M),X_1)=image_int_int(hAPP_int_fun_int_int(hAPP_f2135977429nt_int(cOMBC_int_int_int,times_times_int),X_1),hAPP_i1948725293t_bool(norRRset,M)).
% 115.46/114.25  0 [] -hBOOL(hAPP_real_bool(deriv_real(G,X_1),M))|hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(hAPP_f248847589l_real(cOMBC_real_nat_real,hAPP_f1407095736t_real(hAPP_f1796904975t_real(cOMBB_599996122l_real,power_power_real),G)),N),X_1),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(G,X_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),one_one_nat)))),M))).
% 115.46/114.25  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),N))|hAPP_f957591787ol_nat(finite_card_int,collect_int(hAPP_f1805168059t_bool(hAPP_f727283836t_bool(cOMBS_int_bool_bool,hAPP_f2144054103l_bool(hAPP_f1734373249l_bool(cOMBB_1652995168ol_int,fconj),hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int))),hAPP_i1948725293t_bool(hAPP_f428220345t_bool(cOMBC_int_int_bool,ord_less_e_q_int),N))))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(nat,N)),one_one_nat).
% 115.46/114.26  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),N))|hAPP_nat_int(semiri1621563631at_int,hAPP_f957591787ol_nat(finite_card_int,collect_int(hAPP_f1805168059t_bool(hAPP_f727283836t_bool(cOMBS_int_bool_bool,hAPP_f2144054103l_bool(hAPP_f1734373249l_bool(cOMBB_1652995168ol_int,fconj),hAPP_i1948725293t_bool(ord_less_int,zero_zero_int))),hAPP_i1948725293t_bool(hAPP_f428220345t_bool(cOMBC_int_int_bool,ord_less_int),N)))))=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,N),one_one_int).
% 115.46/114.26  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),N))|hAPP_f957591787ol_nat(finite_card_int,collect_int(hAPP_f1805168059t_bool(hAPP_f727283836t_bool(cOMBS_int_bool_bool,hAPP_f2144054103l_bool(hAPP_f1734373249l_bool(cOMBB_1652995168ol_int,fconj),hAPP_i1948725293t_bool(ord_less_int,zero_zero_int))),hAPP_i1948725293t_bool(hAPP_f428220345t_bool(cOMBC_int_int_bool,ord_less_int),N))))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_int_nat(nat,N)),one_one_nat).
% 115.46/114.26  0 [] hBOOL(hAPP_real_bool(deriv_real(hAPP_f1950183573l_real(hAPP_f2069516469l_real(cOMBS_real_real_real,hAPP_f556082547l_real(hAPP_f1960414057l_real(cOMBB_882763271l_real,times_times_real),cos)),cos),X_1),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(uminus_uminus_real,hAPP_real_real(sin,X_1))),hAPP_real_real(cos,X_1))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(uminus_uminus_real,hAPP_real_real(sin,X_1))),hAPP_real_real(cos,X_1))))).
% 115.46/114.26  0 [] hAPP_int_nat(number_number_of_nat,V)!=hAPP_nat_nat(suc,N)| -hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,V)))).
% 115.46/114.26  0 [] hAPP_int_nat(number_number_of_nat,V)!=hAPP_nat_nat(suc,N)|hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,V))))|hAPP_int_nat(nat,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,V)))=N.
% 115.46/114.26  0 [] hAPP_int_nat(number_number_of_nat,V)=hAPP_nat_nat(suc,N)|hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,V))))|hAPP_int_nat(nat,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,V)))!=N.
% 115.46/114.26  0 [] hAPP_nat_nat(suc,N)!=hAPP_int_nat(number_number_of_nat,V)| -hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,V)))).
% 115.46/114.26  0 [] hAPP_nat_nat(suc,N)!=hAPP_int_nat(number_number_of_nat,V)|hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,V))))|hAPP_int_nat(nat,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,V)))=N.
% 115.46/114.26  0 [] hAPP_nat_nat(suc,N)=hAPP_int_nat(number_number_of_nat,V)|hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,V))))|hAPP_int_nat(nat,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,V)))!=N.
% 115.46/114.26  0 [] -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.
% 115.46/114.26  0 [] 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))).
% 115.46/114.26  0 [] hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(hAPP_f248847589l_real(cOMBC_real_nat_real,power_power_real),N),X_1),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),hAPP_nat_nat(suc,zero_zero_nat)))))).
% 115.46/114.26  0 [] hBOOL(hAPP_real_bool(deriv_real(hAPP_f1950183573l_real(hAPP_f2069516469l_real(cOMBS_real_real_real,hAPP_f556082547l_real(hAPP_f1960414057l_real(cOMBB_882763271l_real,times_times_real),cos)),cos),X_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,min))),hAPP_real_real(cos,X_1))),hAPP_real_real(sin,X_1)))).
% 115.46/114.26  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_int_nat(number_number_of_nat,V)),hAPP_nat_nat(suc,N)))|hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,V))))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_int_nat(nat,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,V)))),N)).
% 115.46/114.26  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_int_nat(number_number_of_nat,V)),hAPP_nat_nat(suc,N)))| -hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,V)))).
% 115.46/114.26  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_int_nat(number_number_of_nat,V)),hAPP_nat_nat(suc,N)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_int_nat(nat,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,V)))),N)).
% 115.46/114.26  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,N)),hAPP_int_nat(number_number_of_nat,V)))| -hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,V)))).
% 115.46/114.26  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,N)),hAPP_int_nat(number_number_of_nat,V)))|hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,V))))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),hAPP_int_nat(nat,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,V))))).
% 115.46/114.26  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,N)),hAPP_int_nat(number_number_of_nat,V)))|hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,V))))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),hAPP_int_nat(nat,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,V))))).
% 115.46/114.26  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,N)),hAPP_int_nat(number_number_of_nat,V)))| -hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,V)))).
% 115.46/114.26  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,N)),hAPP_int_nat(number_number_of_nat,V)))|hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,V))))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),hAPP_int_nat(nat,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,V))))).
% 115.46/114.26  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,N)),hAPP_int_nat(number_number_of_nat,V)))|hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,V))))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),hAPP_int_nat(nat,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,V))))).
% 115.46/114.26  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_int_nat(number_number_of_nat,V)),hAPP_nat_nat(suc,N)))|hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,V))))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_int_nat(nat,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,V)))),N)).
% 115.46/114.26  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_int_nat(number_number_of_nat,V)),hAPP_nat_nat(suc,N)))| -hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,V)))).
% 115.46/114.26  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_int_nat(number_number_of_nat,V)),hAPP_nat_nat(suc,N)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_int_nat(nat,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,V)))),N)).
% 115.46/114.26  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),M))|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,image_int_int(standardRes(M),X_3)),collect_int(hAPP_f1805168059t_bool(hAPP_f727283836t_bool(cOMBS_int_bool_bool,hAPP_f2144054103l_bool(hAPP_f1734373249l_bool(cOMBB_1652995168ol_int,fconj),hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int))),hAPP_i1948725293t_bool(hAPP_f428220345t_bool(cOMBC_int_int_bool,ord_less_int),M))))).
% 115.46/114.26  0 [] -hBOOL(hAPP_f215623910l_bool(hAPP_f628503027l_bool(member_fun_int_bool,A),rsetR(M)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),M))|hAPP_int_int(legacy_zgcd(X_1),M)!=one_one_int|hBOOL(hAPP_f215623910l_bool(hAPP_f628503027l_bool(member_fun_int_bool,image_int_int(hAPP_int_fun_int_int(hAPP_f2135977429nt_int(cOMBC_int_int_int,times_times_int),X_1),A)),rsetR(M))).
% 115.46/114.26  0 [] -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))).
% 115.46/114.26  0 [] 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.
% 115.46/114.26  0 [] hBOOL(hAPP_real_bool(deriv_real(hAPP_f1950183573l_real(hAPP_f2069516469l_real(cOMBS_real_real_real,hAPP_f556082547l_real(hAPP_f1960414057l_real(cOMBB_882763271l_real,times_times_real),sin)),sin),X_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)))).
% 115.46/114.26  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))|hBOOL(hAPP_real_bool(deriv_real(log(Ba),X_1),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,Ba)),X_1)))).
% 115.46/114.26  0 [] hBOOL(hAPP_real_bool(deriv_real(hAPP_f1950183573l_real(hAPP_f2069516469l_real(cOMBS_real_real_real,hAPP_f556082547l_real(hAPP_f1960414057l_real(cOMBB_882763271l_real,times_times_real),cos)),cos),X_1),hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),hAPP_real_real(cos,X_1))),hAPP_real_real(sin,X_1))))).
% 115.46/114.26  0 [] 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_2),zero_zero_real)).
% 115.46/114.26  0 [] hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(hAPP_f248847589l_real(cOMBC_real_nat_real,hAPP_f1407095736t_real(hAPP_f1796904975t_real(cOMBB_599996122l_real,power_power_real),sin)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),X_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)))).
% 115.46/114.26  0 [] hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(hAPP_f248847589l_real(cOMBC_real_nat_real,hAPP_f1407095736t_real(hAPP_f1796904975t_real(cOMBB_599996122l_real,power_power_real),sin)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),X_1),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(cos,X_1)),hAPP_real_real(sin,X_1))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(cos,X_1)),hAPP_real_real(sin,X_1))))).
% 115.46/114.26  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_1),pls))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_int_nat(number_number_of_nat,V)),hAPP_int_nat(number_number_of_nat,V_1))=hAPP_int_nat(number_number_of_nat,V).
% 115.46/114.26  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_1),pls))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_int_nat(number_number_of_nat,V)),hAPP_int_nat(number_number_of_nat,V_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(hAPP_b992065680at_nat(if_nat,hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V),hAPP_int_int(uminus_uminus_int,V_1))))),zero_zero_nat),hAPP_int_nat(nat,hAPP_int_int(number_number_of_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V),hAPP_int_int(uminus_uminus_int,V_1))))).
% 115.46/114.26  0 [] hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(hAPP_f248847589l_real(cOMBC_real_nat_real,hAPP_f1407095736t_real(hAPP_f1796904975t_real(cOMBB_599996122l_real,power_power_real),cos)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),X_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,min))),hAPP_real_real(cos,X_1))),hAPP_real_real(sin,X_1)))).
% 115.46/114.26  0 [] hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(hAPP_f248847589l_real(cOMBC_real_nat_real,hAPP_f1407095736t_real(hAPP_f1796904975t_real(cOMBB_599996122l_real,power_power_real),cos)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),X_1),hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),hAPP_real_real(cos,X_1))),hAPP_real_real(sin,X_1))))).
% 115.46/114.26  0 [] hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(hAPP_f248847589l_real(cOMBC_real_nat_real,hAPP_f1407095736t_real(hAPP_f1796904975t_real(cOMBB_599996122l_real,power_power_real),cos)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),X_1),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(uminus_uminus_real,hAPP_real_real(sin,X_1))),hAPP_real_real(cos,X_1))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(uminus_uminus_real,hAPP_real_real(sin,X_1))),hAPP_real_real(cos,X_1))))).
% 115.46/114.26  0 [] hAPP_real_real(cos,X_1)=zero_zero_real|hBOOL(hAPP_real_bool(deriv_real(hAPP_f1950183573l_real(hAPP_f2069516469l_real(cOMBS_real_real_real,hAPP_f556082547l_real(hAPP_f1960414057l_real(cOMBB_882763271l_real,inverse_divide_real),sin)),cos),X_1),hAPP_real_real(inverse_inverse_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(cos,X_1)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))).
% 115.46/114.26  0 [] hBOOL(hAPP_real_bool(deriv_real(hAPP_f1950183573l_real(hAPP_f2069516469l_real(cOMBS_real_real_real,hAPP_f556082547l_real(hAPP_f1960414057l_real(cOMBB_882763271l_real,plus_plus_real),hAPP_n546711566l_real(hAPP_f248847589l_real(cOMBC_real_nat_real,hAPP_f1407095736t_real(hAPP_f1796904975t_real(cOMBB_599996122l_real,power_power_real),hAPP_f1950183573l_real(hAPP_f2069516469l_real(cOMBS_real_real_real,hAPP_f556082547l_real(hAPP_f1960414057l_real(cOMBB_882763271l_real,minus_minus_real),hAPP_f1950183573l_real(hAPP_f1992866895l_real(cOMBB_real_real_real,sin),hAPP_r1250527377l_real(hAPP_f203520653l_real(cOMBC_real_real_real,plus_plus_real),Y_2)))),hAPP_f1950183573l_real(hAPP_f2069516469l_real(cOMBS_real_real_real,hAPP_f556082547l_real(hAPP_f1960414057l_real(cOMBB_882763271l_real,plus_plus_real),hAPP_r1250527377l_real(hAPP_f203520653l_real(cOMBC_real_real_real,hAPP_f556082547l_real(hAPP_f1960414057l_real(cOMBB_882763271l_real,times_times_real),sin)),hAPP_real_real(cos,Y_2)))),hAPP_r1250527377l_real(hAPP_f203520653l_real(cOMBC_real_real_real,hAPP_f556082547l_real(hAPP_f1960414057l_real(cOMBB_882763271l_real,times_times_real),cos)),hAPP_real_real(sin,Y_2)))))),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),hAPP_n546711566l_real(hAPP_f248847589l_real(cOMBC_real_nat_real,hAPP_f1407095736t_real(hAPP_f1796904975t_real(cOMBB_599996122l_real,power_power_real),hAPP_f1950183573l_real(hAPP_f2069516469l_real(cOMBS_real_real_real,hAPP_f556082547l_real(hAPP_f1960414057l_real(cOMBB_882763271l_real,minus_minus_real),hAPP_f1950183573l_real(hAPP_f1992866895l_real(cOMBB_real_real_real,cos),hAPP_r1250527377l_real(hAPP_f203520653l_real(cOMBC_real_real_real,plus_plus_real),Y_2)))),hAPP_f1950183573l_real(hAPP_f2069516469l_real(cOMBS_real_real_real,hAPP_f556082547l_real(hAPP_f1960414057l_real(cOMBB_882763271l_real,minus_minus_real),hAPP_r1250527377l_real(hAPP_f203520653l_real(cOMBC_real_real_real,hAPP_f556082547l_real(hAPP_f1960414057l_real(cOMBB_882763271l_real,times_times_real),cos)),hAPP_real_real(cos,Y_2)))),hAPP_r1250527377l_real(hAPP_f203520653l_real(cOMBC_real_real_real,hAPP_f556082547l_real(hAPP_f1960414057l_real(cOMBB_882763271l_real,times_times_real),sin)),hAPP_real_real(sin,Y_2)))))),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),X_2),zero_zero_real)).
% 115.51/114.26  0 [] 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_2),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_2))),hAPP_real_real(sin,X_2))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),hAPP_real_real(cos,X_2))),hAPP_real_real(sin,X_2))))).
% 115.51/114.26  0 [] -hBOOL(hAPP_P603027463t_bool(accp_P2006205492nt_int(norm_frac_rel),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Aa),Ba)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Ba),zero_zero_int))|norm_frac(Aa,Ba)=norm_frac(hAPP_int_int(uminus_uminus_int,Aa),hAPP_int_int(uminus_uminus_int,Ba)).
% 115.51/114.26  0 [] -hBOOL(hAPP_P603027463t_bool(accp_P2006205492nt_int(norm_frac_rel),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Aa),Ba)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Ba),zero_zero_int))|Aa!=zero_zero_int|norm_frac(Aa,Ba)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,zero_zero_int),one_one_int).
% 115.51/114.26  0 [] -hBOOL(hAPP_P603027463t_bool(accp_P2006205492nt_int(norm_frac_rel),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Aa),Ba)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Ba),zero_zero_int))|Ba!=zero_zero_int|norm_frac(Aa,Ba)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,zero_zero_int),one_one_int).
% 115.51/114.26  0 [] -hBOOL(hAPP_P603027463t_bool(accp_P2006205492nt_int(norm_frac_rel),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Aa),Ba)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Ba),zero_zero_int))|Aa=zero_zero_int|Ba=zero_zero_int|norm_frac(Aa,Ba)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,Aa),hAPP_int_int(hAPP_int_fun_int_int(int_gcd,Aa),Ba))),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,Ba),hAPP_int_int(hAPP_int_fun_int_int(int_gcd,Aa),Ba))).
% 115.51/114.26  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,X_1)),one_one_real))|hBOOL(monose_q_real(hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,hAPP_r1250527377l_real(inverse_divide_real,one_one_real)),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,hAPP_f1639111240at_nat(hAPP_f1731313045at_nat(cOMBB_963856155at_nat,plus_plus_nat),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,times_times_nat),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),one_one_nat))))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,hAPP_r474017924t_real(power_power_real,X_1)),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))))).
% 115.51/114.26  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),one_one_real))|hBOOL(monose_q_real(hAPP_r474017924t_real(power_power_real,X_1))).
% 115.51/114.26  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_1),zero_zero_int))|norm_frac(A_2,B_1)=norm_frac(hAPP_int_int(uminus_uminus_int,A_2),hAPP_int_int(uminus_uminus_int,B_1)).
% 115.51/114.26  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_1),zero_zero_int))|A_2!=zero_zero_int|norm_frac(A_2,B_1)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,zero_zero_int),one_one_int).
% 115.51/114.26  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_1),zero_zero_int))|B_1!=zero_zero_int|norm_frac(A_2,B_1)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,zero_zero_int),one_one_int).
% 115.51/114.26  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_1),zero_zero_int))|A_2=zero_zero_int|B_1=zero_zero_int|norm_frac(A_2,B_1)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_2),hAPP_int_int(hAPP_int_fun_int_int(int_gcd,A_2),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_2),B_1))).
% 115.51/114.26  0 [] 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))))).
% 115.51/114.26  0 [] -hBOOL(hAPP_int_bool(zprime,Pa))| -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)))),Pa))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Aa),zero_zero_int),Pa))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(quadRes,Pa),Aa))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(big_co1548731110nt_int(cOMBI_int,comple219730294t_bool(setS(Aa,Pa)))),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,Aa),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,Pa),one_one_int)),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))),Pa)).
% 115.51/114.26  0 [] big_co1548731110nt_int(cOMBI_int,hAPP_i1948725293t_bool(d22set,Aa))=hAPP_int_int(zfact,Aa).
% 115.51/114.26  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),M))|hAPP_int_int(legacy_zgcd(big_co1548731110nt_int(cOMBI_int,hAPP_i1948725293t_bool(bnorRset(Aa),M))),M)=one_one_int.
% 115.51/114.26  0 [] X_1=zero_zero_int| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),M))|big_co1548731110nt_int(cOMBI_int,image_int_int(hAPP_int_fun_int_int(hAPP_f2135977429nt_int(cOMBC_int_int_int,times_times_int),X_1),hAPP_i1948725293t_bool(bnorRset(Aa),M)))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,big_co1548731110nt_int(cOMBI_int,hAPP_i1948725293t_bool(bnorRset(Aa),M))),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_1),hAPP_f957591787ol_nat(finite_card_int,hAPP_i1948725293t_bool(bnorRset(Aa),M)))).
% 115.51/114.26  0 [] -hBOOL(hAPP_int_bool(zprime,Pa))| -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)))),Pa))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Aa),zero_zero_int),Pa))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(quadRes,Pa),Aa))| -hBOOL(hAPP_f215623910l_bool(hAPP_f628503027l_bool(member_fun_int_bool,X_1),setS(Aa,Pa)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(big_co1548731110nt_int(cOMBI_int,X_1)),Aa),Pa)).
% 115.51/114.26  0 [] -hBOOL(hAPP_int_bool(zprime,Pa))| -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))))),Pa))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Aa),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Pa),one_one_int)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(big_co1548731110nt_int(cOMBI_int,hAPP_i1948725293t_bool(wset(Aa),Pa))),one_one_int),Pa)).
% 115.51/114.26  0 [] -hBOOL(hAPP_int_bool(zprime,Pa))| -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)))),Pa))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Aa),zero_zero_int),Pa))|big_co1548731110nt_int(cOMBI_int,comple219730294t_bool(setS(Aa,Pa)))=hAPP_int_int(zfact,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Pa),one_one_int)).
% 115.51/114.26  0 [] -hBOOL(hAPP_f448129468l_bool(nat_nat_set,A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),$f440(F,A)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),big_co1548731110nt_int(F,A))).
% 115.51/114.26  0 [] -hBOOL(hAPP_f448129468l_bool(nat_nat_set,A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(F,$f440(F,A))))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),big_co1548731110nt_int(F,A))).
% 115.51/114.26  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,X_1)),one_one_real))|hAPP_real_real(arctan,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),hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min)))),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,hAPP_r1250527377l_real(inverse_divide_real,one_one_real)),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,hAPP_f1639111240at_nat(hAPP_f1731313045at_nat(cOMBB_963856155at_nat,plus_plus_nat),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,times_times_nat),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),one_one_nat))))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,hAPP_r474017924t_real(power_power_real,X_1)),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))))).
% 115.51/114.26  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(abs_abs_real,X_1)),one_one_real))|hBOOL(hAPP_real_bool(deriv_real(hAPP_f1122023986l_real(hAPP_f1786887945l_real(cOMBB_1896127834l_real,suminf_real),hAPP_f1993765077t_real(hAPP_f895854793t_real(cOMBB_1948233853l_real,hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min))))),hAPP_f1993765077t_real(hAPP_f895854793t_real(cOMBB_1948233853l_real,hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,hAPP_r1250527377l_real(inverse_divide_real,one_one_real)),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,hAPP_f1639111240at_nat(hAPP_f1731313045at_nat(cOMBB_963856155at_nat,plus_plus_nat),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,times_times_nat),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),one_one_nat)))))),hAPP_f1501741374t_real(hAPP_f1135648319t_real(cOMBC_1329014627t_real,hAPP_f1163894827t_real(hAPP_f1998755145t_real(cOMBB_421464275l_real,cOMBB_nat_real_nat),power_power_real)),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,hAPP_f1639111240at_nat(hAPP_f1731313045at_nat(cOMBB_963856155at_nat,plus_plus_nat),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,times_times_nat),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),one_one_nat))))),X_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),hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min)))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,hAPP_r474017924t_real(power_power_real,X_1)),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))))))))).
% 115.51/114.26  0 [] 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))).
% 115.51/114.26  0 [] hAPP_real_real(sin,X_2)=hAPP_f352196356l_real(suminf_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),sin_coeff)),hAPP_r474017924t_real(power_power_real,X_2))).
% 115.51/114.26  0 [] 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))).
% 115.51/114.26  0 [] hAPP_real_real(cos,X_2)=hAPP_f352196356l_real(suminf_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),cos_coeff)),hAPP_r474017924t_real(power_power_real,X_2))).
% 115.51/114.26  0 [] hAPP_real_real(uminus_uminus_real,hAPP_real_real(sin,X_1))=hAPP_f352196356l_real(suminf_real,hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,uminus_uminus_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),sin_coeff)),hAPP_r474017924t_real(power_power_real,X_1)))).
% 115.51/114.26  0 [] hAPP_real_real(exp_real,X_1)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,one_one_real),X_1)),hAPP_f352196356l_real(suminf_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,inverse_inverse_real),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),hAPP_f1914919701at_nat(hAPP_f1585078997at_nat(cOMBB_nat_nat_nat,fact_fact_nat),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,plus_plus_nat),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,hAPP_r474017924t_real(power_power_real,X_1)),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)))))))).
% 115.51/114.26  0 [] 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)))).
% 115.51/114.26  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))|hAPP_real_real(ln,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),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min)))),hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,hAPP_r1250527377l_real(inverse_divide_real,one_one_real)),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,plus_plus_nat),one_one_nat)))))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,hAPP_r474017924t_real(power_power_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X_1),one_one_real))),suc))).
% 115.51/114.26  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,X_1)),one_one_real))|hBOOL(summable_real(hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min)))),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,hAPP_r1250527377l_real(inverse_divide_real,one_one_real)),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,hAPP_f1639111240at_nat(hAPP_f1731313045at_nat(cOMBB_963856155at_nat,plus_plus_nat),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,times_times_nat),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),one_one_nat))))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,hAPP_r474017924t_real(power_power_real,X_1)),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)))))).
% 115.51/114.26  0 [] -hBOOL(summable_real(hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,abs_abs_real),F)))|hBOOL(summable_real(F)).
% 115.51/114.26  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_3),$f441(F,G,N_3)))| -hBOOL(summable_real(G))|hBOOL(summable_real(hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,abs_abs_real),F))).
% 115.51/114.26  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,hAPP_nat_real(F,$f441(F,G,N_3)))),hAPP_nat_real(G,$f441(F,G,N_3))))| -hBOOL(summable_real(G))|hBOOL(summable_real(hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,abs_abs_real),F))).
% 115.51/114.26  0 [] -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)))).
% 115.51/114.26  0 [] hBOOL(summable_real(hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),sin_coeff)),hAPP_r474017924t_real(power_power_real,X_1)))).
% 115.51/114.26  0 [] hBOOL(summable_real(hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),cos_coeff)),hAPP_r474017924t_real(power_power_real,X_1)))).
% 115.51/114.26  0 [] archim791455193or_rat(Pa)=hAPP_P1175774780nt_int(produc1298267108nt_int(div_div_int),quotient_of(Pa)).
% 115.51/114.26  0 [] quotient_of(hAPP_rat_rat(uminus_uminus_rat,Pa))=hAPP_P1975530577nt_int(produc1518849193nt_int(hAPP_f1574055885nt_int(hAPP_f2054677283nt_int(cOMBB_782625832nt_int,product_Pair_int_int),uminus_uminus_int)),quotient_of(Pa)).
% 115.51/114.26  0 [] hBOOL(summable_real(hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,inverse_inverse_real),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat)))),hAPP_r474017924t_real(power_power_real,X_1)))).
% 115.51/114.26  0 [] quotient_of(hAPP_rat_rat(abs_abs_rat,Pa))=hAPP_P1975530577nt_int(produc1518849193nt_int(hAPP_f1574055885nt_int(hAPP_f2054677283nt_int(cOMBB_782625832nt_int,product_Pair_int_int),abs_abs_int)),quotient_of(Pa)).
% 115.51/114.26  0 [] divmod_int_rel(Aa,Ba)=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,Aa))),hAPP_f1760145644nt_int(hAPP_f1629352853nt_int(cOMBB_1496585939nt_int,plus_plus_int),hAPP_int_fun_int_int(times_times_int,Ba)))))),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),Ba))),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),Ba))))),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),Ba)))),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,Ba))),hAPP_i1948725293t_bool(hAPP_f428220345t_bool(cOMBC_int_int_bool,ord_less_e_q_int),zero_zero_int)))))).
% 115.51/114.26  0 [] 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)))))).
% 115.51/114.26  0 [] quotient_of(hAPP_rat_rat(inverse_inverse_rat,Pa))=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(Pa)).
% 115.51/114.26  0 [] hBOOL(summable_real(hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,inverse_inverse_real),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),hAPP_f1914919701at_nat(hAPP_f1585078997at_nat(cOMBB_nat_nat_nat,fact_fact_nat),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,plus_plus_nat),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,hAPP_r474017924t_real(power_power_real,X_1)),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)))))))).
% 115.51/114.26  0 [] adjust(Ba)=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),Ba))))),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),Ba))))),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))))))).
% 115.51/114.26  0 [] hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,$f442(X0,F,R_4)),hAPP_r1134773055l_bool(ord_gr788844697n_real(hAPP_real_real(uminus_uminus_real,R_4)),R_4)))| -hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,X0),hAPP_r1134773055l_bool(ord_gr788844697n_real(hAPP_real_real(uminus_uminus_real,R_4)),R_4)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),R_4))|hBOOL(hAPP_real_bool(deriv_real(hAPP_f1122023986l_real(hAPP_f1786887945l_real(cOMBB_1896127834l_real,suminf_real),hAPP_f1993765077t_real(hAPP_f895854793t_real(cOMBB_1948233853l_real,hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),F))),hAPP_f1501741374t_real(hAPP_f1135648319t_real(cOMBC_1329014627t_real,hAPP_f1163894827t_real(hAPP_f1998755145t_real(cOMBB_421464275l_real,cOMBB_nat_real_nat),power_power_real)),suc))),X0),hAPP_f352196356l_real(suminf_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),F)),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),suc)))),hAPP_r474017924t_real(power_power_real,X0))))).
% 115.51/114.26  0 [] -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,$f442(X0,F,R_4)))))| -hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,X0),hAPP_r1134773055l_bool(ord_gr788844697n_real(hAPP_real_real(uminus_uminus_real,R_4)),R_4)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),R_4))|hBOOL(hAPP_real_bool(deriv_real(hAPP_f1122023986l_real(hAPP_f1786887945l_real(cOMBB_1896127834l_real,suminf_real),hAPP_f1993765077t_real(hAPP_f895854793t_real(cOMBB_1948233853l_real,hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),F))),hAPP_f1501741374t_real(hAPP_f1135648319t_real(cOMBC_1329014627t_real,hAPP_f1163894827t_real(hAPP_f1998755145t_real(cOMBB_421464275l_real,cOMBB_nat_real_nat),power_power_real)),suc))),X0),hAPP_f352196356l_real(suminf_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),F)),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),suc)))),hAPP_r474017924t_real(power_power_real,X0))))).
% 115.51/114.26  0 [] 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))).
% 115.51/114.26  0 [] -hBOOL(summable_complex(X_3))|hAPP_complex_complex(cnj,hAPP_f213450978omplex(suminf_complex,X_3))=hAPP_f213450978omplex(suminf_complex,hAPP_f1646117269omplex(hAPP_f1457396693omplex(cOMBB_117013006ex_nat,cnj),X_3)).
% 115.51/114.26  0 [] -hBOOL(summable_complex(X_3))|hBOOL(summable_complex(hAPP_f1646117269omplex(hAPP_f1457396693omplex(cOMBB_117013006ex_nat,cnj),X_3))).
% 115.51/114.26  0 [] -hBOOL(summable_complex(X_3))|hBOOL(summable_real(hAPP_f1290670424t_real(hAPP_f327026105t_real(cOMBB_722610049al_nat,re),X_3))).
% 115.51/114.26  0 [] -hBOOL(summable_complex(X_3))|hBOOL(summable_real(hAPP_f1290670424t_real(hAPP_f327026105t_real(cOMBB_722610049al_nat,im),X_3))).
% 115.51/114.26  0 [] -hBOOL(summable_complex(X_3))|hAPP_complex_real(re,hAPP_f213450978omplex(suminf_complex,X_3))=hAPP_f352196356l_real(suminf_real,hAPP_f1290670424t_real(hAPP_f327026105t_real(cOMBB_722610049al_nat,re),X_3)).
% 115.51/114.26  0 [] -hBOOL(summable_complex(X_3))|hAPP_complex_real(im,hAPP_f213450978omplex(suminf_complex,X_3))=hAPP_f352196356l_real(suminf_real,hAPP_f1290670424t_real(hAPP_f327026105t_real(cOMBB_722610049al_nat,im),X_3)).
% 115.51/114.26  0 [] 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)))))).
% 115.51/114.26  0 [] N!=zero_zero_nat|divmod_nat(M,N)=hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,zero_zero_nat),M).
% 115.51/114.26  0 [] -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).
% 115.51/114.26  0 [] N=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))|divmod_nat(M,N)=hAPP_P1586233937at_nat(produc1391996073at_nat(hAPP_f837737749at_nat(hAPP_f999082675at_nat(cOMBB_348438404at_nat,product_Pair_nat_nat),suc)),divmod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),N),N)).
% 115.51/114.26  0 [] hAPP_n332733730l_real(bolzano_bisect(P_1,Aa,Ba),hAPP_nat_nat(suc,N))=hAPP_P1860904029l_real(produc595218619l_real(hAPP_f2072293513l_real(hAPP_f1763467369l_real(cOMBS_163651580l_real,hAPP_f1663701695l_real(hAPP_f774948957l_real(cOMBB_3698607l_real,cOMBS_902912708l_real),hAPP_f324002831l_real(hAPP_f677014621l_real(cOMBS_107495110l_real,hAPP_f1161935955l_real(hAPP_f328572565l_real(cOMBB_520243667l_real,cOMBS_794971624l_real),hAPP_f517738447l_real(hAPP_f1879982819l_real(cOMBB_731595089l_real,hAPP_f1076489843l_real(cOMBB_415306361l_real,if_Pro313124157l_real)),hAPP_f1884005689l_bool(hAPP_f172451459l_bool(cOMBB_421479067l_real,hAPP_f940061907l_bool(cOMBB_1795223523l_real,P_1)),hAPP_f320596107l_real(hAPP_f850851693l_real(cOMBS_193881978l_real,hAPP_f1119546819l_real(hAPP_f555557763l_real(cOMBB_422423973l_real,cOMBB_2107848501l_real),produc865579683l_real)),hAPP_r337325687l_real(hAPP_f1644353557l_real(cOMBC_1508019322l_real,hAPP_f1644353557l_real(hAPP_f1874145443l_real(cOMBB_1768400739l_real,cOMBC_real_real_real),hAPP_f1732848529l_real(hAPP_f1310479593l_real(cOMBB_2092576745l_real,hAPP_f1960414057l_real(cOMBB_882763271l_real,inverse_divide_real)),plus_plus_real))),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))))),hAPP_f1591894897l_real(hAPP_f644105375l_real(cOMBC_467724138l_real,hAPP_f1108539711l_real(hAPP_f1109256153l_real(cOMBB_44084907l_real,cOMBS_511527878l_real),hAPP_f823702159l_real(hAPP_f1040184293l_real(cOMBB_557258983l_real,hAPP_f2114902373l_real(cOMBB_237479429l_real,produc865579683l_real)),hAPP_r337325687l_real(hAPP_f1644353557l_real(cOMBC_1508019322l_real,hAPP_f1644353557l_real(hAPP_f1874145443l_real(cOMBB_1768400739l_real,cOMBC_real_real_real),hAPP_f1732848529l_real(hAPP_f1310479593l_real(cOMBB_2092576745l_real,hAPP_f1960414057l_real(cOMBB_882763271l_real,inverse_divide_real)),plus_plus_real))),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))),cOMBI_real)))),hAPP_f320596107l_real(hAPP_f850851693l_real(cOMBS_193881978l_real,hAPP_f1119546819l_real(hAPP_f555557763l_real(cOMBB_422423973l_real,cOMBB_2107848501l_real),produc865579683l_real)),hAPP_r337325687l_real(hAPP_f1644353557l_real(cOMBC_1508019322l_real,hAPP_f1644353557l_real(hAPP_f1874145443l_real(cOMBB_1768400739l_real,cOMBC_real_real_real),hAPP_f1732848529l_real(hAPP_f1310479593l_real(cOMBB_2092576745l_real,hAPP_f1960414057l_real(cOMBB_882763271l_real,inverse_divide_real)),plus_plus_real))),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))),hAPP_n332733730l_real(bolzano_bisect(P_1,Aa,Ba),N)).
% 115.51/114.26  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),R_2))| -hBOOL(summable_real(Aa))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,$f443(Aa,R_2)),N_2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(abs_abs_real,hAPP_f352196356l_real(suminf_real,hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,Aa),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,plus_plus_nat),N_2))))),R_2)).
% 115.51/114.26  0 [] K_1!=zero_zero_int|divmod_int(K_1,L)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,zero_zero_int),zero_zero_int).
% 115.51/114.26  0 [] K_1=zero_zero_int|L!=zero_zero_int|divmod_int(K_1,L)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,zero_zero_int),K_1).
% 115.51/114.26  0 [] K_1=zero_zero_int|L=zero_zero_int|divmod_int(K_1,L)=hAPP_P1975530577nt_int(produc713050258nt_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(sgn_sgn_int,L))),hAPP_P1975530577nt_int(hAPP_P1145851913nt_int(hAPP_b40753821nt_int(if_Pro1731782967nt_int,fdisj(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),L)),hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),K_1)),hAPP_bool_bool(hAPP_b589554111l_bool(fconj,hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,L),zero_zero_int)),hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),zero_zero_int)))),pdivmod(K_1,L)),hAPP_P1975530577nt_int(produc1518849193nt_int(hAPP_f465821005nt_int(hAPP_f1081447804nt_int(cOMBS_1470252563nt_int,hAPP_f617310012nt_int(hAPP_f197974549nt_int(cOMBB_638531587nt_int,cOMBS_1891347093nt_int),hAPP_f1148171384nt_int(hAPP_f334321603nt_int(cOMBB_1484610687nt_int,hAPP_f1582586579nt_int(cOMBC_707974837nt_int,hAPP_f251264923nt_int(hAPP_f279307923nt_int(cOMBB_662120866nt_int,if_Pro1731782967nt_int),hAPP_i1948725293t_bool(hAPP_f428220345t_bool(cOMBC_int_int_bool,fe_qual_int),zero_zero_int)))),hAPP_i1584592887nt_int(hAPP_f465821005nt_int(cOMBC_1964283556nt_int,hAPP_f1574055885nt_int(hAPP_f2054677283nt_int(cOMBB_782625832nt_int,product_Pair_int_int),uminus_uminus_int)),zero_zero_int)))),hAPP_f1574055885nt_int(hAPP_f960630521nt_int(cOMBC_1805044090nt_int,hAPP_f142232355nt_int(hAPP_f1377453843nt_int(cOMBB_320287386nt_int,cOMBB_1846624359nt_int),hAPP_f1574055885nt_int(hAPP_f2054677283nt_int(cOMBB_782625832nt_int,product_Pair_int_int),hAPP_int_fun_int_int(hAPP_f2135977429nt_int(cOMBC_int_int_int,hAPP_f1760145644nt_int(hAPP_f1629352853nt_int(cOMBB_1496585939nt_int,minus_minus_int),uminus_uminus_int)),one_one_int)))),hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(abs_abs_int,L))))),pdivmod(K_1,L)))).
% 115.51/114.26  0 [] negateSnd=produc713050258nt_int(uminus_uminus_int).
% 115.51/114.26  0 [] K_1!=zero_zero_int|divmod_int(K_1,L)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,zero_zero_int),zero_zero_int).
% 115.51/114.26  0 [] K_1=zero_zero_int|L!=zero_zero_int|divmod_int(K_1,L)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,zero_zero_int),K_1).
% 115.51/114.26  0 [] K_1=zero_zero_int|L=zero_zero_int|divmod_int(K_1,L)=hAPP_P1975530577nt_int(produc713050258nt_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(sgn_sgn_int,L))),hAPP_P1975530577nt_int(hAPP_P1145851913nt_int(hAPP_b40753821nt_int(if_Pro1731782967nt_int,hAPP_int_bool(hAPP_i1948725293t_bool(fe_qual_int,hAPP_int_int(sgn_sgn_int,K_1)),hAPP_int_int(sgn_sgn_int,L))),pdivmod(K_1,L)),hAPP_P1975530577nt_int(produc1518849193nt_int(hAPP_f465821005nt_int(hAPP_f1081447804nt_int(cOMBS_1470252563nt_int,hAPP_f617310012nt_int(hAPP_f197974549nt_int(cOMBB_638531587nt_int,cOMBS_1891347093nt_int),hAPP_f1148171384nt_int(hAPP_f334321603nt_int(cOMBB_1484610687nt_int,hAPP_f1582586579nt_int(cOMBC_707974837nt_int,hAPP_f251264923nt_int(hAPP_f279307923nt_int(cOMBB_662120866nt_int,if_Pro1731782967nt_int),hAPP_i1948725293t_bool(hAPP_f428220345t_bool(cOMBC_int_int_bool,fe_qual_int),zero_zero_int)))),hAPP_i1584592887nt_int(hAPP_f465821005nt_int(cOMBC_1964283556nt_int,hAPP_f1574055885nt_int(hAPP_f2054677283nt_int(cOMBB_782625832nt_int,product_Pair_int_int),uminus_uminus_int)),zero_zero_int)))),hAPP_f1574055885nt_int(hAPP_f960630521nt_int(cOMBC_1805044090nt_int,hAPP_f142232355nt_int(hAPP_f1377453843nt_int(cOMBB_320287386nt_int,cOMBB_1846624359nt_int),hAPP_f1574055885nt_int(hAPP_f2054677283nt_int(cOMBB_782625832nt_int,product_Pair_int_int),hAPP_int_fun_int_int(hAPP_f2135977429nt_int(cOMBC_int_int_int,hAPP_f1760145644nt_int(hAPP_f1629352853nt_int(cOMBB_1496585939nt_int,minus_minus_int),uminus_uminus_int)),one_one_int)))),hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(abs_abs_int,L))))),pdivmod(K_1,L)))).
% 115.51/114.26  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,hAPP_nat_real(F,$f444(F,G)))),hAPP_nat_real(G,$f444(F,G))))| -hBOOL(summable_real(G))|hBOOL(summable_real(F)).
% 115.51/114.26  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,hAPP_nat_real(F,$f444(F,G)))),hAPP_nat_real(G,$f444(F,G))))| -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))).
% 115.51/114.26  0 [] -hBOOL(summable_real(F))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(F,$f445(F))))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_f352196356l_real(suminf_real,F))).
% 115.51/114.26  0 [] -hBOOL(summable_real(F))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_nat_real(F,$f446(F))))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_f352196356l_real(suminf_real,F))).
% 115.51/114.26  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_nat_real(F,$f447(F))))| -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))).
% 115.51/114.26  0 [] int_ge_less_than(D)=collec1347809874nt_int(produc93441119t_bool(hAPP_f428220345t_bool(hAPP_f1878066172t_bool(cOMBS_1720984575t_bool,hAPP_f1315737299t_bool(hAPP_f538565589t_bool(cOMBB_1211207212ol_int,cOMBB_bool_bool_int),hAPP_f2144054103l_bool(hAPP_f1734373249l_bool(cOMBB_1652995168ol_int,fconj),hAPP_i1948725293t_bool(ord_less_e_q_int,D)))),ord_less_int))).
% 115.51/114.26  0 [] int_ge_less_than2(D)=collec1347809874nt_int(produc93441119t_bool(hAPP_f428220345t_bool(hAPP_f654702867t_bool(cOMBB_591320580ol_int,hAPP_f727283836t_bool(cOMBS_int_bool_bool,hAPP_f2144054103l_bool(hAPP_f1734373249l_bool(cOMBB_1652995168ol_int,fconj),hAPP_i1948725293t_bool(ord_less_e_q_int,D)))),ord_less_int))).
% 115.51/114.26  0 [] hBOOL(hAPP_real_bool(sums_real(hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min)))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),hAPP_f1914919701at_nat(hAPP_f1585078997at_nat(cOMBB_nat_nat_nat,fact_fact_nat),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,hAPP_f1639111240at_nat(hAPP_f1731313045at_nat(cOMBB_963856155at_nat,plus_plus_nat),hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),one_one_nat)))))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,hAPP_r474017924t_real(power_power_real,X_1)),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,hAPP_f1639111240at_nat(hAPP_f1731313045at_nat(cOMBB_963856155at_nat,plus_plus_nat),hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),one_one_nat)))),hAPP_real_real(sin,X_1))).
% 115.51/114.26  0 [] hBOOL(hAPP_real_bool(sums_real(hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),sin_coeff)),hAPP_r474017924t_real(power_power_real,X_1))),hAPP_real_real(sin,X_1))).
% 115.51/114.26  0 [] hBOOL(hAPP_real_bool(sums_real(hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),cos_coeff)),hAPP_r474017924t_real(power_power_real,X_1))),hAPP_real_real(cos,X_1))).
% 115.51/114.26  0 [] 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)).
% 115.51/114.26  0 [] hBOOL(hAPP_real_bool(sums_real(hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),hAPP_r474017924t_real(power_power_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,one_one_real),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))).
% 115.51/114.26  0 [] -hBOOL(hAPP_real_bool(sums_real(G),X_1))|hBOOL(hAPP_real_bool(sums_real(hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_r195310020l_real(hAPP_f2126667875l_real(cOMBC_746811033l_real,hAPP_f1129044203l_real(hAPP_f264196187l_real(cOMBB_1480366270al_nat,if_real),even_odd_even_nat)),zero_zero_real)),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,G),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,hAPP_f1639111240at_nat(hAPP_f1731313045at_nat(cOMBB_963856155at_nat,div_div_nat),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,minus_minus_nat),one_one_nat))),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))),X_1)).
% 115.51/114.26  0 [] -hBOOL(hAPP_real_bool(sums_real(G),X_1))| -hBOOL(hAPP_real_bool(sums_real(F),Y_2))|hBOOL(hAPP_real_bool(sums_real(hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f335634176l_real(cOMBS_337378985l_real,hAPP_f1129044203l_real(hAPP_f264196187l_real(cOMBB_1480366270al_nat,if_real),even_odd_even_nat)),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,F),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,div_div_nat),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,G),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,hAPP_f1639111240at_nat(hAPP_f1731313045at_nat(cOMBB_963856155at_nat,div_div_nat),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,minus_minus_nat),one_one_nat))),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_1),Y_2))).
% 115.51/114.26  0 [] hBOOL(hAPP_real_bool(sums_real(hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min)))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),hAPP_f1914919701at_nat(hAPP_f1585078997at_nat(cOMBB_nat_nat_nat,fact_fact_nat),hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,hAPP_r474017924t_real(power_power_real,X_1)),hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))),hAPP_real_real(cos,X_1))).
% 115.51/114.26  0 [] -hBOOL(hAPP_complex_bool(sums_complex(X_3),Aa))|hBOOL(hAPP_complex_bool(sums_complex(hAPP_f1646117269omplex(hAPP_f1457396693omplex(cOMBB_117013006ex_nat,cnj),X_3)),hAPP_complex_complex(cnj,Aa))).
% 115.51/114.26  0 [] -hBOOL(hAPP_complex_bool(sums_complex(X_3),Aa))|hBOOL(hAPP_real_bool(sums_real(hAPP_f1290670424t_real(hAPP_f327026105t_real(cOMBB_722610049al_nat,re),X_3)),hAPP_complex_real(re,Aa))).
% 115.51/114.26  0 [] -hBOOL(hAPP_complex_bool(sums_complex(X_3),Aa))|hBOOL(hAPP_real_bool(sums_real(hAPP_f1290670424t_real(hAPP_f327026105t_real(cOMBB_722610049al_nat,im),X_3)),hAPP_complex_real(im,Aa))).
% 115.51/114.26  0 [] hAPP_nat_real(diffs_real(sin_coeff),N)=hAPP_nat_real(cos_coeff,N).
% 115.51/114.26  0 [] diffs_real(sin_coeff)=cos_coeff.
% 115.51/114.26  0 [] 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_2)=hAPP_real_real(inverse_inverse_real,hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,X_2))).
% 115.51/114.26  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,M)),N))|hBOOL(hAPP_nat_bool(nat_case_bool(fFalse,hAPP_n1699378549t_bool(ord_less_e_q_nat,M)),N)).
% 115.51/114.26  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,M)),N))| -hBOOL(hAPP_nat_bool(nat_case_bool(fFalse,hAPP_n1699378549t_bool(ord_less_e_q_nat,M)),N)).
% 115.51/114.26  0 [] hAPP_nat_real(diffs_real(cos_coeff),X_2)=hAPP_real_real(uminus_uminus_real,hAPP_nat_real(sin_coeff,X_2)).
% 115.51/114.26  0 [] hAPP_nat_real(diffs_real(cos_coeff),N)=hAPP_real_real(uminus_uminus_real,hAPP_nat_real(sin_coeff,N)).
% 115.51/114.26  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),hAPP_nat_nat(suc,N))=hAPP_nat_nat(nat_case_nat(zero_zero_nat,cOMBI_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),N)).
% 115.51/114.26  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(F,$f448(F,G))),hAPP_nat_real(G,$f448(F,G))))| -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))).
% 115.51/114.26  0 [] hAPP_real_real(arctan,Y_2)=the_real(hAPP_f1861673493l_bool(hAPP_f1010710745l_bool(cOMBS_real_bool_bool,hAPP_f60716669l_bool(hAPP_f1485493409l_bool(cOMBB_624415285l_real,fconj),hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))),hAPP_f1861673493l_bool(hAPP_f1010710745l_bool(cOMBS_real_bool_bool,hAPP_f60716669l_bool(hAPP_f1485493409l_bool(cOMBB_624415285l_real,fconj),hAPP_r1134773055l_bool(hAPP_f695504873l_bool(cOMBC_real_real_bool,ord_less_real),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))),hAPP_r1134773055l_bool(hAPP_f695504873l_bool(cOMBC_real_real_bool,hAPP_f1393328161l_bool(hAPP_f1900646853l_bool(cOMBB_430461877l_real,fe_qual_real),tan)),Y_2)))).
% 115.51/114.26  0 [] hAPP_real_real(arcsin,Y_2)=the_real(hAPP_f1861673493l_bool(hAPP_f1010710745l_bool(cOMBS_real_bool_bool,hAPP_f60716669l_bool(hAPP_f1485493409l_bool(cOMBB_624415285l_real,fconj),hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))),hAPP_f1861673493l_bool(hAPP_f1010710745l_bool(cOMBS_real_bool_bool,hAPP_f60716669l_bool(hAPP_f1485493409l_bool(cOMBB_624415285l_real,fconj),hAPP_r1134773055l_bool(hAPP_f695504873l_bool(cOMBC_real_real_bool,ord_less_e_q_real),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))),hAPP_r1134773055l_bool(hAPP_f695504873l_bool(cOMBC_real_real_bool,hAPP_f1393328161l_bool(hAPP_f1900646853l_bool(cOMBB_430461877l_real,fe_qual_real),sin)),Y_2)))).
% 115.51/114.26  0 [] hAPP_real_real(ln,X_1)=the_real(hAPP_r1134773055l_bool(hAPP_f695504873l_bool(cOMBC_real_real_bool,hAPP_f1393328161l_bool(hAPP_f1900646853l_bool(cOMBB_430461877l_real,fe_qual_real),exp_real)),X_1)).
% 115.51/114.26  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))|hAPP_real_real(hAPP_n546711566l_real(root,N),X_1)=the_real(hAPP_f1861673493l_bool(hAPP_f1010710745l_bool(cOMBS_real_bool_bool,hAPP_f60716669l_bool(hAPP_f1485493409l_bool(cOMBB_624415285l_real,fconj),hAPP_r1134773055l_bool(ord_less_real,zero_zero_real))),hAPP_r1134773055l_bool(hAPP_f695504873l_bool(cOMBC_real_real_bool,hAPP_f1393328161l_bool(hAPP_f1900646853l_bool(cOMBB_430461877l_real,fe_qual_real),hAPP_n546711566l_real(hAPP_f248847589l_real(cOMBC_real_nat_real,power_power_real),N))),X_1))).
% 115.51/114.26  0 [] 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),zero_zero_real))|hAPP_real_real(hAPP_n546711566l_real(root,N),X_1)=hAPP_real_real(uminus_uminus_real,the_real(hAPP_f1861673493l_bool(hAPP_f1010710745l_bool(cOMBS_real_bool_bool,hAPP_f60716669l_bool(hAPP_f1485493409l_bool(cOMBB_624415285l_real,fconj),hAPP_r1134773055l_bool(ord_less_real,zero_zero_real))),hAPP_r1134773055l_bool(hAPP_f695504873l_bool(cOMBC_real_real_bool,hAPP_f1393328161l_bool(hAPP_f1900646853l_bool(cOMBB_430461877l_real,fe_qual_real),hAPP_n546711566l_real(hAPP_f248847589l_real(cOMBC_real_nat_real,power_power_real),N))),hAPP_real_real(uminus_uminus_real,X_1))))).
% 115.51/114.26  0 [] 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),zero_zero_real))|hAPP_real_real(hAPP_n546711566l_real(root,N),X_1)=zero_zero_real.
% 115.51/114.26  0 [] hAPP_real_real(arccos,Y_2)=the_real(hAPP_f1861673493l_bool(hAPP_f1010710745l_bool(cOMBS_real_bool_bool,hAPP_f60716669l_bool(hAPP_f1485493409l_bool(cOMBB_624415285l_real,fconj),hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real))),hAPP_f1861673493l_bool(hAPP_f1010710745l_bool(cOMBS_real_bool_bool,hAPP_f60716669l_bool(hAPP_f1485493409l_bool(cOMBB_624415285l_real,fconj),hAPP_r1134773055l_bool(hAPP_f695504873l_bool(cOMBC_real_real_bool,ord_less_e_q_real),pi))),hAPP_r1134773055l_bool(hAPP_f695504873l_bool(cOMBC_real_real_bool,hAPP_f1393328161l_bool(hAPP_f1900646853l_bool(cOMBB_430461877l_real,fe_qual_real),cos)),Y_2)))).
% 115.51/114.26  0 [] 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))))).
% 115.51/114.26  0 [] 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)))).
% 115.51/114.26  0 [] divmod_nat(M,N)=the_Pr588456374at_nat(divmod_nat_rel(M,N)).
% 115.51/114.26  0 [] archim1246769320r_real(X_1)=the_int(hAPP_f1805168059t_bool(hAPP_f727283836t_bool(cOMBS_int_bool_bool,hAPP_f2144054103l_bool(hAPP_f1734373249l_bool(cOMBB_1652995168ol_int,fconj),hAPP_r481142414t_bool(hAPP_f1845081853t_bool(cOMBC_int_real_bool,hAPP_f801032407l_bool(hAPP_f499530369l_bool(cOMBB_1317819104ol_int,ord_less_e_q_real),ring_1_of_int_real)),X_1))),hAPP_f429384717t_bool(hAPP_f1173902867t_bool(cOMBB_real_bool_int,hAPP_r1134773055l_bool(ord_less_real,X_1)),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))))).
% 115.51/114.26  0 [] archim791455193or_rat(X_1)=the_int(hAPP_f1805168059t_bool(hAPP_f727283836t_bool(cOMBS_int_bool_bool,hAPP_f2144054103l_bool(hAPP_f1734373249l_bool(cOMBB_1652995168ol_int,fconj),hAPP_r1900510169t_bool(hAPP_f1480506641t_bool(cOMBC_int_rat_bool,hAPP_f601898971t_bool(hAPP_f857296063t_bool(cOMBB_214503962ol_int,ord_less_e_q_rat),ring_1_of_int_rat)),X_1))),hAPP_f1241350704t_bool(hAPP_f1131424617t_bool(cOMBB_rat_bool_int,hAPP_r2115560837t_bool(ord_less_rat,X_1)),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))))).
% 115.51/114.26  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),M))| -hBOOL(hAPP_int_bool(is_RRset(A),M))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Aa),A))|hAPP_int_int(rRset2norRR(A,M),Aa)=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(Aa)),M))),hAPP_f1805168059t_bool(hAPP_f202917053t_bool(cOMBC_94739984l_bool,member_int),hAPP_i1948725293t_bool(norRRset,M)))).
% 115.51/114.26  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),M))|hAPP_int_int(rRset2norRR(A,M),Aa)=zero_zero_int.
% 115.51/114.26  0 [] hBOOL(hAPP_int_bool(is_RRset(A),M))|hAPP_int_int(rRset2norRR(A,M),Aa)=zero_zero_int.
% 115.51/114.26  0 [] hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Aa),A))|hAPP_int_int(rRset2norRR(A,M),Aa)=zero_zero_int.
% 115.51/114.26  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),M))| -hBOOL(hAPP_int_bool(is_RRset(A),M))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Aa),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Aa),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(Aa)),M))),hAPP_f1805168059t_bool(hAPP_f202917053t_bool(cOMBC_94739984l_bool,member_int),hAPP_i1948725293t_bool(norRRset,M))))),M)).
% 115.51/114.27  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),M))| -hBOOL(hAPP_int_bool(is_RRset(A),M))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Aa),A))|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(Aa)),M))),hAPP_f1805168059t_bool(hAPP_f202917053t_bool(cOMBC_94739984l_bool,member_int),hAPP_i1948725293t_bool(norRRset,M))))),hAPP_i1948725293t_bool(norRRset,M))).
% 115.51/114.27  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(sin,X_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_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_r195310020l_real(hAPP_f2126667875l_real(cOMBC_746811033l_real,hAPP_f1129044203l_real(hAPP_f264196187l_real(cOMBB_1480366270al_nat,if_real),even_odd_even_nat)),zero_zero_real)),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min))),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,hAPP_f1639111240at_nat(hAPP_f1731313045at_nat(cOMBB_963856155at_nat,div_div_nat),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,minus_minus_nat),hAPP_nat_nat(suc,zero_zero_nat)))),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat))))),hAPP_r474017924t_real(power_power_real,X_1))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(inverse_inverse_real,hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(abs_abs_real,X_1)),N)))).
% 115.51/114.27  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,$f449(U,F)),hAPP_nat_nat(F,$f449(U,F))))|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)))).
% 115.51/114.27  0 [] hBOOL(hAPP_f54304608l_bool(finite_finite_nat,hAPP_n1699378549t_bool(ord_at4362885an_nat(L),U))).
% 115.51/114.27  0 [] hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,F),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N)),R_2))=hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_r474017924t_real(hAPP_f42270917t_real(cOMBC_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,minus_minus_real),F)),R_2)),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N)).
% 115.51/114.27  0 [] hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,F_2),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_2),K_1)))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,F_2),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,plus_plus_nat),K_1))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N_2))),hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,F_2),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),K_1))).
% 115.51/114.27  0 [] hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,F_2),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,plus_plus_nat),K_1))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,F_2),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N),K_1)))),hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,F_2),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),K_1))).
% 115.51/114.27  0 [] hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),F)),hAPP_r474017924t_real(power_power_real,zero_zero_real))),hAPP_n1699378549t_bool(ord_at4362885an_nat(hAPP_nat_nat(suc,zero_zero_nat)),N))=zero_zero_real.
% 115.51/114.27  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f450(P_1,N)),N))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N)))|hBOOL(hAPP_nat_bool(P_1,X_2)).
% 115.51/114.27  0 [] -hBOOL(hAPP_nat_bool(P_1,$f450(P_1,N)))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N)))|hBOOL(hAPP_nat_bool(P_1,X_2)).
% 115.51/114.27  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_2),N))|hBOOL(hAPP_nat_bool(P_1,M_2))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f451(P_1,N)),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))).
% 115.51/114.27  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_2),N))|hBOOL(hAPP_nat_bool(P_1,M_2))| -hBOOL(hAPP_nat_bool(P_1,$f451(P_1,N))).
% 115.51/114.27  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_2),N))| -hBOOL(hAPP_nat_bool(P_1,M_2))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f452(P_1,N)),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))).
% 115.51/114.27  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_2),N))| -hBOOL(hAPP_nat_bool(P_1,M_2))|hBOOL(hAPP_nat_bool(P_1,$f452(P_1,N))).
% 115.51/114.27  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f453(P_1,N)),N))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N)))| -hBOOL(hAPP_nat_bool(P_1,X_2)).
% 115.51/114.27  0 [] hBOOL(hAPP_nat_bool(P_1,$f453(P_1,N)))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N)))| -hBOOL(hAPP_nat_bool(P_1,X_2)).
% 115.51/114.27  0 [] 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).
% 115.51/114.27  0 [] X_1=one_one_real|hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_r474017924t_real(power_power_real,X_1)),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_1),N)),one_one_real)),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X_1),one_one_real)).
% 115.51/114.27  0 [] hAPP_n1699378549t_bool(ord_at4362885an_nat(hAPP_nat_nat(suc,L)),U)=hAPP_n1699378549t_bool(ord_gr660468384an_nat(L),U).
% 115.51/114.27  0 [] image_nat_nat(hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,plus_plus_nat),K_1),hAPP_n1699378549t_bool(ord_at4362885an_nat(I_1),J))=hAPP_n1699378549t_bool(ord_at4362885an_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_1),K_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J),K_1)).
% 115.51/114.27  0 [] 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)).
% 115.51/114.27  0 [] X_1!=zero_zero_real|N=zero_zero_nat|hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_r474017924t_real(hAPP_f42270917t_real(cOMBC_nat_real_real,Diff),zero_zero_real))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat)))),hAPP_r474017924t_real(power_power_real,X_1))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))=hAPP_real_real(hAPP_n546711566l_real(Diff,zero_zero_nat),zero_zero_real).
% 115.51/114.27  0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),hAPP_n1699378549t_bool(ord_at4362885an_nat(K_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_1),hAPP_f22106695ol_nat(finite_card_nat,A)))))|A=hAPP_n1699378549t_bool(ord_at4362885an_nat(K_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_1),hAPP_f22106695ol_nat(finite_card_nat,A))).
% 115.51/114.27  0 [] hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f335634176l_real(cOMBS_337378985l_real,hAPP_f1129044203l_real(hAPP_f264196187l_real(cOMBB_1480366270al_nat,if_real),even_odd_even_nat)),F)),G)),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N)))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,F),hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,G),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,hAPP_f1639111240at_nat(hAPP_f1731313045at_nat(cOMBB_963856155at_nat,plus_plus_nat),hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),one_one_nat))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))).
% 115.51/114.27  0 [] hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min))),suc)),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N)))=zero_zero_real.
% 115.51/114.27  0 [] hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_r474017924t_real(hAPP_f42270917t_real(cOMBC_nat_real_real,hAPP_f451358433l_real(hAPP_f335634176l_real(cOMBS_337378985l_real,hAPP_f1129044203l_real(hAPP_f264196187l_real(cOMBB_1480366270al_nat,if_real),even_odd_even_nat)),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min))),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,div_div_nat),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat)))),hAPP_r474017924t_real(power_power_real,zero_zero_real)))),zero_zero_real)),hAPP_n1699378549t_bool(ord_at4362885an_nat(one_one_nat),N))=zero_zero_real.
% 115.51/114.27  0 [] hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_r474017924t_real(hAPP_f42270917t_real(cOMBC_nat_real_real,hAPP_f451358433l_real(hAPP_f335634176l_real(cOMBS_337378985l_real,hAPP_f1129044203l_real(hAPP_f264196187l_real(cOMBB_1480366270al_nat,if_real),even_odd_even_nat)),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min))),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,div_div_nat),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat)))),zero_zero_real))),hAPP_r474017924t_real(power_power_real,zero_zero_real))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),hAPP_nat_nat(suc,N)))=one_one_real.
% 115.51/114.27  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,$f454(N,X_1))),hAPP_real_real(abs_abs_real,X_1))).
% 115.51/114.27  0 [] hAPP_real_real(sin,X_1)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_r195310020l_real(hAPP_f2126667875l_real(cOMBC_746811033l_real,hAPP_f1129044203l_real(hAPP_f264196187l_real(cOMBB_1480366270al_nat,if_real),even_odd_even_nat)),zero_zero_real)),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min))),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,hAPP_f1639111240at_nat(hAPP_f1731313045at_nat(cOMBB_963856155at_nat,div_div_nat),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,minus_minus_nat),hAPP_nat_nat(suc,zero_zero_nat)))),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat))))),hAPP_r474017924t_real(power_power_real,X_1))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(sin,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,$f454(N,X_1)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,one_one_real),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_real(real_nat,N))),pi)))),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_1),N))).
% 115.51/114.27  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,$f455(N,X_1))),hAPP_real_real(abs_abs_real,X_1))).
% 115.51/114.27  0 [] hAPP_real_real(cos,X_1)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_r474017924t_real(hAPP_f42270917t_real(cOMBC_nat_real_real,hAPP_f451358433l_real(hAPP_f335634176l_real(cOMBS_337378985l_real,hAPP_f1129044203l_real(hAPP_f264196187l_real(cOMBB_1480366270al_nat,if_real),even_odd_even_nat)),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min))),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,div_div_nat),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat)))),zero_zero_real))),hAPP_r474017924t_real(power_power_real,X_1))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(cos,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,$f455(N,X_1)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,one_one_real),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_real(real_nat,N))),pi)))),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_1),N))).
% 115.51/114.27  0 [] hBOOL(hAPP_f448129468l_bool(finite_finite_int,hAPP_i1948725293t_bool(ord_at641636577an_int(L),U))).
% 115.51/114.27  0 [] hBOOL(hAPP_f448129468l_bool(finite_finite_int,hAPP_i1948725293t_bool(ord_at641636577an_int(zero_zero_int),U))).
% 115.51/114.27  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_2),X_1))|comple124823625p_real(hAPP_r1134773055l_bool(ord_at1496968948n_real(Y_2),X_1))=X_1.
% 115.51/114.27  0 [] hAPP_f957591787ol_nat(finite_card_int,hAPP_i1948725293t_bool(ord_at641636577an_int(zero_zero_int),U))=hAPP_int_nat(nat,U).
% 115.51/114.27  0 [] 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)).
% 115.51/114.27  0 [] 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).
% 115.51/114.27  0 [] 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).
% 115.51/114.27  0 [] hAPP_real_real(sin,X_1)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_r195310020l_real(hAPP_f2126667875l_real(cOMBC_746811033l_real,hAPP_f1129044203l_real(hAPP_f264196187l_real(cOMBB_1480366270al_nat,if_real),even_odd_even_nat)),zero_zero_real)),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min))),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,hAPP_f1639111240at_nat(hAPP_f1731313045at_nat(cOMBB_963856155at_nat,div_div_nat),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,minus_minus_nat),hAPP_nat_nat(suc,zero_zero_nat)))),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat))))),hAPP_r474017924t_real(power_power_real,X_1))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(sin,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,$f456(X_1,N)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,one_one_real),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_real(real_nat,N))),pi)))),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_1),N))).
% 115.51/114.27  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f458(B,K_1,Diff,H,N)),N))|N!=hAPP_nat_nat(suc,K_1)| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_2),N))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),T_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,T_1),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_2))),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_2))),zero_zero_real))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat))))),power_power_real))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),M_2))))),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,N),M_2)))),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),M_2))))))),T_1),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(hAPP_n546711566l_real(Diff,hAPP_nat_nat(suc,M_2)),T_1)),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_2)))),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_1))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),hAPP_nat_nat(suc,M_2))))),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_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),hAPP_nat_nat(suc,M_2)))),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),hAPP_nat_nat(suc,M_2)))))))))).
% 115.51/114.27  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),$f457(B,K_1,Diff,H,N)))|N!=hAPP_nat_nat(suc,K_1)| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_2),N))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),T_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,T_1),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_2))),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_2))),zero_zero_real))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat))))),power_power_real))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),M_2))))),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,N),M_2)))),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),M_2))))))),T_1),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(hAPP_n546711566l_real(Diff,hAPP_nat_nat(suc,M_2)),T_1)),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_2)))),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_1))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),hAPP_nat_nat(suc,M_2))))),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_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),hAPP_nat_nat(suc,M_2)))),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),hAPP_nat_nat(suc,M_2)))))))))).
% 115.51/114.27  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f457(B,K_1,Diff,H,N)),H))|N!=hAPP_nat_nat(suc,K_1)| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_2),N))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),T_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,T_1),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_2))),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_2))),zero_zero_real))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat))))),power_power_real))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),M_2))))),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,N),M_2)))),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),M_2))))))),T_1),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(hAPP_n546711566l_real(Diff,hAPP_nat_nat(suc,M_2)),T_1)),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_2)))),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_1))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),hAPP_nat_nat(suc,M_2))))),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_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),hAPP_nat_nat(suc,M_2)))),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),hAPP_nat_nat(suc,M_2)))))))))).
% 115.51/114.27  0 [] -hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(Diff,$f458(B,K_1,Diff,H,N)),$f457(B,K_1,Diff,H,N)),hAPP_real_real(hAPP_n546711566l_real(Diff,hAPP_nat_nat(suc,$f458(B,K_1,Diff,H,N))),$f457(B,K_1,Diff,H,N))))|N!=hAPP_nat_nat(suc,K_1)| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_2),N))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),T_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,T_1),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_2))),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_2))),zero_zero_real))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat))))),power_power_real))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),M_2))))),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,N),M_2)))),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),M_2))))))),T_1),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(hAPP_n546711566l_real(Diff,hAPP_nat_nat(suc,M_2)),T_1)),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_2)))),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_1))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),hAPP_nat_nat(suc,M_2))))),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_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),hAPP_nat_nat(suc,M_2)))),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),hAPP_nat_nat(suc,M_2)))))))))).
% 115.51/114.27  0 [] X_1=zero_zero_real| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(abs_abs_real,$f459(N,X_1)))).
% 115.51/114.27  0 [] X_1=zero_zero_real| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(abs_abs_real,$f459(N,X_1))),hAPP_real_real(abs_abs_real,X_1))).
% 115.51/114.27  0 [] X_1=zero_zero_real| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|hAPP_real_real(exp_real,X_1)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_r474017924t_real(power_power_real,X_1))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(exp_real,$f459(N,X_1))),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_1),N))).
% 115.51/114.27  0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,$f460(N,X_1))),hAPP_real_real(abs_abs_real,X_1))).
% 115.51/114.27  0 [] hAPP_real_real(exp_real,X_1)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_r474017924t_real(power_power_real,X_1))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(exp_real,$f460(N,X_1))),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_1),N))).
% 115.51/114.27  0 [] -hBOOL(summable_real(F))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(F,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat))),$f461(K_1,F))))),hAPP_nat_real(F,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat))),$f461(K_1,F))),one_one_nat))))))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,F),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),K_1))),hAPP_f352196356l_real(suminf_real,F))).
% 115.51/114.27  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),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),J)),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat)))),hAPP_r474017924t_real(power_power_real,H))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,$f462(F,J,N,H)),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,H),N)),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N))))).
% 115.51/114.27  0 [] -hBOOL(summable_real(F))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),$f463(N,F)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,F),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_f352196356l_real(suminf_real,F))).
% 115.51/114.27  0 [] -hBOOL(summable_real(F))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(F,$f463(N,F))))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,F),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_f352196356l_real(suminf_real,F))).
% 115.51/114.27  0 [] -hBOOL(summable_real(F))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),$f464(N,F)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,F),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_f352196356l_real(suminf_real,F))).
% 115.51/114.27  0 [] -hBOOL(summable_real(F))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_nat_real(F,$f464(N,F))))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,F),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_f352196356l_real(suminf_real,F))).
% 115.51/114.27  0 [] hAPP_n546711566l_real(Diff,zero_zero_nat)!=F| -hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(Diff,$f466(N,X_1,Diff,F)),$f465(N,X_1,Diff,F)),hAPP_real_real(hAPP_n546711566l_real(Diff,hAPP_nat_nat(suc,$f466(N,X_1,Diff,F))),$f465(N,X_1,Diff,F))))|X_1=zero_zero_real| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(abs_abs_real,$f467(N,X_1,Diff,F)))).
% 115.51/114.27  0 [] hAPP_n546711566l_real(Diff,zero_zero_nat)!=F| -hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(Diff,$f466(N,X_1,Diff,F)),$f465(N,X_1,Diff,F)),hAPP_real_real(hAPP_n546711566l_real(Diff,hAPP_nat_nat(suc,$f466(N,X_1,Diff,F))),$f465(N,X_1,Diff,F))))|X_1=zero_zero_real| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(abs_abs_real,$f467(N,X_1,Diff,F))),hAPP_real_real(abs_abs_real,X_1))).
% 115.51/114.27  0 [] hAPP_n546711566l_real(Diff,zero_zero_nat)!=F| -hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(Diff,$f466(N,X_1,Diff,F)),$f465(N,X_1,Diff,F)),hAPP_real_real(hAPP_n546711566l_real(Diff,hAPP_nat_nat(suc,$f466(N,X_1,Diff,F))),$f465(N,X_1,Diff,F))))|X_1=zero_zero_real| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|hAPP_real_real(F,X_1)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_r474017924t_real(hAPP_f42270917t_real(cOMBC_nat_real_real,Diff),zero_zero_real))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat)))),hAPP_r474017924t_real(power_power_real,X_1))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_n546711566l_real(Diff,N),$f467(N,X_1,Diff,F))),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_1),N))).
% 115.51/114.27  0 [] hAPP_n546711566l_real(Diff,zero_zero_nat)!=F| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|X_1=zero_zero_real| -hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(Diff,$f469(X_1,N,Diff,F)),$f468(X_1,N,Diff,F)),hAPP_real_real(hAPP_n546711566l_real(Diff,hAPP_nat_nat(suc,$f469(X_1,N,Diff,F))),$f468(X_1,N,Diff,F))))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(abs_abs_real,$f470(X_1,N,Diff,F)))).
% 115.51/114.27  0 [] hAPP_n546711566l_real(Diff,zero_zero_nat)!=F| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|X_1=zero_zero_real| -hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(Diff,$f469(X_1,N,Diff,F)),$f468(X_1,N,Diff,F)),hAPP_real_real(hAPP_n546711566l_real(Diff,hAPP_nat_nat(suc,$f469(X_1,N,Diff,F))),$f468(X_1,N,Diff,F))))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(abs_abs_real,$f470(X_1,N,Diff,F))),hAPP_real_real(abs_abs_real,X_1))).
% 115.51/114.27  0 [] hAPP_n546711566l_real(Diff,zero_zero_nat)!=F| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|X_1=zero_zero_real| -hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(Diff,$f469(X_1,N,Diff,F)),$f468(X_1,N,Diff,F)),hAPP_real_real(hAPP_n546711566l_real(Diff,hAPP_nat_nat(suc,$f469(X_1,N,Diff,F))),$f468(X_1,N,Diff,F))))|hAPP_real_real(F,X_1)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_r474017924t_real(hAPP_f42270917t_real(cOMBC_nat_real_real,Diff),zero_zero_real))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat)))),hAPP_r474017924t_real(power_power_real,X_1))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_n546711566l_real(Diff,N),$f470(X_1,N,Diff,F))),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_1),N))).
% 115.51/114.27  0 [] hAPP_n546711566l_real(Diff,zero_zero_nat)!=F|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f472(X_1,N,Diff,F)),N))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,$f473(X_1,N,Diff,F))),hAPP_real_real(abs_abs_real,X_1))).
% 115.51/114.27  0 [] hAPP_n546711566l_real(Diff,zero_zero_nat)!=F|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f472(X_1,N,Diff,F)),N))|hAPP_real_real(F,X_1)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_r474017924t_real(hAPP_f42270917t_real(cOMBC_nat_real_real,Diff),zero_zero_real))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat)))),hAPP_r474017924t_real(power_power_real,X_1))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_n546711566l_real(Diff,N),$f473(X_1,N,Diff,F))),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_1),N))).
% 115.51/114.27  0 [] hAPP_n546711566l_real(Diff,zero_zero_nat)!=F|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,$f471(X_1,N,Diff,F))),hAPP_real_real(abs_abs_real,X_1)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,$f473(X_1,N,Diff,F))),hAPP_real_real(abs_abs_real,X_1))).
% 115.51/114.27  0 [] hAPP_n546711566l_real(Diff,zero_zero_nat)!=F|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,$f471(X_1,N,Diff,F))),hAPP_real_real(abs_abs_real,X_1)))|hAPP_real_real(F,X_1)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_r474017924t_real(hAPP_f42270917t_real(cOMBC_nat_real_real,Diff),zero_zero_real))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat)))),hAPP_r474017924t_real(power_power_real,X_1))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_n546711566l_real(Diff,N),$f473(X_1,N,Diff,F))),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_1),N))).
% 115.51/114.27  0 [] hAPP_n546711566l_real(Diff,zero_zero_nat)!=F| -hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(Diff,$f472(X_1,N,Diff,F)),$f471(X_1,N,Diff,F)),hAPP_real_real(hAPP_n546711566l_real(Diff,hAPP_nat_nat(suc,$f472(X_1,N,Diff,F))),$f471(X_1,N,Diff,F))))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,$f473(X_1,N,Diff,F))),hAPP_real_real(abs_abs_real,X_1))).
% 115.51/114.27  0 [] hAPP_n546711566l_real(Diff,zero_zero_nat)!=F| -hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(Diff,$f472(X_1,N,Diff,F)),$f471(X_1,N,Diff,F)),hAPP_real_real(hAPP_n546711566l_real(Diff,hAPP_nat_nat(suc,$f472(X_1,N,Diff,F))),$f471(X_1,N,Diff,F))))|hAPP_real_real(F,X_1)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_r474017924t_real(hAPP_f42270917t_real(cOMBC_nat_real_real,Diff),zero_zero_real))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat)))),hAPP_r474017924t_real(power_power_real,X_1))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_n546711566l_real(Diff,N),$f473(X_1,N,Diff,F))),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_1),N))).
% 115.51/114.27  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,H),zero_zero_real))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|hAPP_n546711566l_real(Diff,zero_zero_nat)!=F|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f475(Diff,F,N,H)),N))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,H),$f476(Diff,F,N,H))).
% 115.51/114.27  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,H),zero_zero_real))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|hAPP_n546711566l_real(Diff,zero_zero_nat)!=F|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f475(Diff,F,N,H)),N))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,$f476(Diff,F,N,H)),zero_zero_real)).
% 115.51/114.27  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,H),zero_zero_real))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|hAPP_n546711566l_real(Diff,zero_zero_nat)!=F|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f475(Diff,F,N,H)),N))|hAPP_real_real(F,H)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_r474017924t_real(hAPP_f42270917t_real(cOMBC_nat_real_real,Diff),zero_zero_real))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat)))),hAPP_r474017924t_real(power_power_real,H))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_n546711566l_real(Diff,N),$f476(Diff,F,N,H))),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,H),N))).
% 115.51/114.27  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,H),zero_zero_real))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|hAPP_n546711566l_real(Diff,zero_zero_nat)!=F|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,H),$f474(Diff,F,N,H)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,H),$f476(Diff,F,N,H))).
% 115.51/114.27  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,H),zero_zero_real))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|hAPP_n546711566l_real(Diff,zero_zero_nat)!=F|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,H),$f474(Diff,F,N,H)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,$f476(Diff,F,N,H)),zero_zero_real)).
% 115.51/114.27  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,H),zero_zero_real))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|hAPP_n546711566l_real(Diff,zero_zero_nat)!=F|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,H),$f474(Diff,F,N,H)))|hAPP_real_real(F,H)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_r474017924t_real(hAPP_f42270917t_real(cOMBC_nat_real_real,Diff),zero_zero_real))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat)))),hAPP_r474017924t_real(power_power_real,H))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_n546711566l_real(Diff,N),$f476(Diff,F,N,H))),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,H),N))).
% 115.51/114.27  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,H),zero_zero_real))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|hAPP_n546711566l_real(Diff,zero_zero_nat)!=F|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f474(Diff,F,N,H)),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,H),$f476(Diff,F,N,H))).
% 115.51/114.27  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,H),zero_zero_real))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|hAPP_n546711566l_real(Diff,zero_zero_nat)!=F|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f474(Diff,F,N,H)),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,$f476(Diff,F,N,H)),zero_zero_real)).
% 115.51/114.27  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,H),zero_zero_real))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|hAPP_n546711566l_real(Diff,zero_zero_nat)!=F|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f474(Diff,F,N,H)),zero_zero_real))|hAPP_real_real(F,H)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_r474017924t_real(hAPP_f42270917t_real(cOMBC_nat_real_real,Diff),zero_zero_real))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat)))),hAPP_r474017924t_real(power_power_real,H))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_n546711566l_real(Diff,N),$f476(Diff,F,N,H))),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,H),N))).
% 115.51/114.27  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,H),zero_zero_real))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|hAPP_n546711566l_real(Diff,zero_zero_nat)!=F| -hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(Diff,$f475(Diff,F,N,H)),$f474(Diff,F,N,H)),hAPP_real_real(hAPP_n546711566l_real(Diff,hAPP_nat_nat(suc,$f475(Diff,F,N,H))),$f474(Diff,F,N,H))))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,H),$f476(Diff,F,N,H))).
% 115.51/114.27  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,H),zero_zero_real))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|hAPP_n546711566l_real(Diff,zero_zero_nat)!=F| -hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(Diff,$f475(Diff,F,N,H)),$f474(Diff,F,N,H)),hAPP_real_real(hAPP_n546711566l_real(Diff,hAPP_nat_nat(suc,$f475(Diff,F,N,H))),$f474(Diff,F,N,H))))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,$f476(Diff,F,N,H)),zero_zero_real)).
% 115.51/114.27  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,H),zero_zero_real))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|hAPP_n546711566l_real(Diff,zero_zero_nat)!=F| -hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(Diff,$f475(Diff,F,N,H)),$f474(Diff,F,N,H)),hAPP_real_real(hAPP_n546711566l_real(Diff,hAPP_nat_nat(suc,$f475(Diff,F,N,H))),$f474(Diff,F,N,H))))|hAPP_real_real(F,H)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_r474017924t_real(hAPP_f42270917t_real(cOMBC_nat_real_real,Diff),zero_zero_real))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat)))),hAPP_r474017924t_real(power_power_real,H))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_n546711566l_real(Diff,N),$f476(Diff,F,N,H))),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,H),N))).
% 115.51/114.27  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),H))|hAPP_n546711566l_real(Diff,zero_zero_nat)!=F|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f478(N,Diff,F,H)),N))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),$f479(N,Diff,F,H))).
% 115.51/114.27  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),H))|hAPP_n546711566l_real(Diff,zero_zero_nat)!=F|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f478(N,Diff,F,H)),N))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f479(N,Diff,F,H)),H)).
% 115.51/114.27  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),H))|hAPP_n546711566l_real(Diff,zero_zero_nat)!=F|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f478(N,Diff,F,H)),N))|hAPP_real_real(F,H)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_r474017924t_real(hAPP_f42270917t_real(cOMBC_nat_real_real,Diff),zero_zero_real))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat)))),hAPP_r474017924t_real(power_power_real,H))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_n546711566l_real(Diff,N),$f479(N,Diff,F,H))),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,H),N))).
% 115.51/114.27  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),H))|hAPP_n546711566l_real(Diff,zero_zero_nat)!=F|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),$f477(N,Diff,F,H)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),$f479(N,Diff,F,H))).
% 115.51/114.27  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),H))|hAPP_n546711566l_real(Diff,zero_zero_nat)!=F|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),$f477(N,Diff,F,H)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f479(N,Diff,F,H)),H)).
% 115.51/114.27  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),H))|hAPP_n546711566l_real(Diff,zero_zero_nat)!=F|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),$f477(N,Diff,F,H)))|hAPP_real_real(F,H)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_r474017924t_real(hAPP_f42270917t_real(cOMBC_nat_real_real,Diff),zero_zero_real))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat)))),hAPP_r474017924t_real(power_power_real,H))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_n546711566l_real(Diff,N),$f479(N,Diff,F,H))),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,H),N))).
% 115.51/114.28  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),H))|hAPP_n546711566l_real(Diff,zero_zero_nat)!=F|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f477(N,Diff,F,H)),H))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),$f479(N,Diff,F,H))).
% 115.51/114.28  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),H))|hAPP_n546711566l_real(Diff,zero_zero_nat)!=F|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f477(N,Diff,F,H)),H))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f479(N,Diff,F,H)),H)).
% 115.51/114.28  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),H))|hAPP_n546711566l_real(Diff,zero_zero_nat)!=F|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f477(N,Diff,F,H)),H))|hAPP_real_real(F,H)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_r474017924t_real(hAPP_f42270917t_real(cOMBC_nat_real_real,Diff),zero_zero_real))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat)))),hAPP_r474017924t_real(power_power_real,H))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_n546711566l_real(Diff,N),$f479(N,Diff,F,H))),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,H),N))).
% 115.51/114.28  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),H))|hAPP_n546711566l_real(Diff,zero_zero_nat)!=F| -hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(Diff,$f478(N,Diff,F,H)),$f477(N,Diff,F,H)),hAPP_real_real(hAPP_n546711566l_real(Diff,hAPP_nat_nat(suc,$f478(N,Diff,F,H))),$f477(N,Diff,F,H))))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),$f479(N,Diff,F,H))).
% 115.51/114.28  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),H))|hAPP_n546711566l_real(Diff,zero_zero_nat)!=F| -hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(Diff,$f478(N,Diff,F,H)),$f477(N,Diff,F,H)),hAPP_real_real(hAPP_n546711566l_real(Diff,hAPP_nat_nat(suc,$f478(N,Diff,F,H))),$f477(N,Diff,F,H))))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f479(N,Diff,F,H)),H)).
% 115.51/114.28  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),H))|hAPP_n546711566l_real(Diff,zero_zero_nat)!=F| -hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(Diff,$f478(N,Diff,F,H)),$f477(N,Diff,F,H)),hAPP_real_real(hAPP_n546711566l_real(Diff,hAPP_nat_nat(suc,$f478(N,Diff,F,H))),$f477(N,Diff,F,H))))|hAPP_real_real(F,H)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_r474017924t_real(hAPP_f42270917t_real(cOMBC_nat_real_real,Diff),zero_zero_real))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat)))),hAPP_r474017924t_real(power_power_real,H))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_n546711566l_real(Diff,N),$f479(N,Diff,F,H))),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,H),N))).
% 115.51/114.28  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),H))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|hAPP_n546711566l_real(Diff,zero_zero_nat)!=F|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f481(Diff,F,N,H)),N))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),$f482(Diff,F,N,H))).
% 115.51/114.28  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),H))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|hAPP_n546711566l_real(Diff,zero_zero_nat)!=F|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f481(Diff,F,N,H)),N))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,$f482(Diff,F,N,H)),H)).
% 115.51/114.28  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),H))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|hAPP_n546711566l_real(Diff,zero_zero_nat)!=F|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f481(Diff,F,N,H)),N))|hAPP_real_real(F,H)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_r474017924t_real(hAPP_f42270917t_real(cOMBC_nat_real_real,Diff),zero_zero_real))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat)))),hAPP_r474017924t_real(power_power_real,H))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_n546711566l_real(Diff,N),$f482(Diff,F,N,H))),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,H),N))).
% 115.51/114.28  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),H))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|hAPP_n546711566l_real(Diff,zero_zero_nat)!=F|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),$f480(Diff,F,N,H)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),$f482(Diff,F,N,H))).
% 115.51/114.28  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),H))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|hAPP_n546711566l_real(Diff,zero_zero_nat)!=F|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),$f480(Diff,F,N,H)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,$f482(Diff,F,N,H)),H)).
% 115.51/114.28  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),H))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|hAPP_n546711566l_real(Diff,zero_zero_nat)!=F|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),$f480(Diff,F,N,H)))|hAPP_real_real(F,H)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_r474017924t_real(hAPP_f42270917t_real(cOMBC_nat_real_real,Diff),zero_zero_real))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat)))),hAPP_r474017924t_real(power_power_real,H))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_n546711566l_real(Diff,N),$f482(Diff,F,N,H))),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,H),N))).
% 115.51/114.28  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),H))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|hAPP_n546711566l_real(Diff,zero_zero_nat)!=F|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f480(Diff,F,N,H)),H))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),$f482(Diff,F,N,H))).
% 115.51/114.28  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),H))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|hAPP_n546711566l_real(Diff,zero_zero_nat)!=F|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f480(Diff,F,N,H)),H))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,$f482(Diff,F,N,H)),H)).
% 115.51/114.28  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),H))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|hAPP_n546711566l_real(Diff,zero_zero_nat)!=F|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f480(Diff,F,N,H)),H))|hAPP_real_real(F,H)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_r474017924t_real(hAPP_f42270917t_real(cOMBC_nat_real_real,Diff),zero_zero_real))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat)))),hAPP_r474017924t_real(power_power_real,H))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_n546711566l_real(Diff,N),$f482(Diff,F,N,H))),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,H),N))).
% 115.51/114.28  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),H))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|hAPP_n546711566l_real(Diff,zero_zero_nat)!=F| -hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(Diff,$f481(Diff,F,N,H)),$f480(Diff,F,N,H)),hAPP_real_real(hAPP_n546711566l_real(Diff,hAPP_nat_nat(suc,$f481(Diff,F,N,H))),$f480(Diff,F,N,H))))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),$f482(Diff,F,N,H))).
% 115.51/114.28  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),H))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|hAPP_n546711566l_real(Diff,zero_zero_nat)!=F| -hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(Diff,$f481(Diff,F,N,H)),$f480(Diff,F,N,H)),hAPP_real_real(hAPP_n546711566l_real(Diff,hAPP_nat_nat(suc,$f481(Diff,F,N,H))),$f480(Diff,F,N,H))))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,$f482(Diff,F,N,H)),H)).
% 115.51/114.28  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),H))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|hAPP_n546711566l_real(Diff,zero_zero_nat)!=F| -hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(Diff,$f481(Diff,F,N,H)),$f480(Diff,F,N,H)),hAPP_real_real(hAPP_n546711566l_real(Diff,hAPP_nat_nat(suc,$f481(Diff,F,N,H))),$f480(Diff,F,N,H))))|hAPP_real_real(F,H)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_r474017924t_real(hAPP_f42270917t_real(cOMBC_nat_real_real,Diff),zero_zero_real))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat)))),hAPP_r474017924t_real(power_power_real,H))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_n546711566l_real(Diff,N),$f482(Diff,F,N,H))),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,H),N))).
% 115.51/114.28  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),H))|hAPP_n546711566l_real(Diff,zero_zero_nat)!=F|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f484(N,Diff,F,H)),N))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),$f485(N,Diff,F,H))).
% 115.51/114.28  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),H))|hAPP_n546711566l_real(Diff,zero_zero_nat)!=F|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f484(N,Diff,F,H)),N))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f485(N,Diff,F,H)),H)).
% 115.51/114.28  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),H))|hAPP_n546711566l_real(Diff,zero_zero_nat)!=F|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f484(N,Diff,F,H)),N))|hAPP_real_real(F,H)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_r474017924t_real(hAPP_f42270917t_real(cOMBC_nat_real_real,Diff),zero_zero_real))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat)))),hAPP_r474017924t_real(power_power_real,H))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_n546711566l_real(Diff,N),$f485(N,Diff,F,H))),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,H),N))).
% 115.51/114.28  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),H))|hAPP_n546711566l_real(Diff,zero_zero_nat)!=F|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),$f483(N,Diff,F,H)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),$f485(N,Diff,F,H))).
% 115.51/114.28  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),H))|hAPP_n546711566l_real(Diff,zero_zero_nat)!=F|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),$f483(N,Diff,F,H)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f485(N,Diff,F,H)),H)).
% 115.51/114.28  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),H))|hAPP_n546711566l_real(Diff,zero_zero_nat)!=F|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),$f483(N,Diff,F,H)))|hAPP_real_real(F,H)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_r474017924t_real(hAPP_f42270917t_real(cOMBC_nat_real_real,Diff),zero_zero_real))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat)))),hAPP_r474017924t_real(power_power_real,H))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_n546711566l_real(Diff,N),$f485(N,Diff,F,H))),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,H),N))).
% 115.51/114.28  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),H))|hAPP_n546711566l_real(Diff,zero_zero_nat)!=F|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f483(N,Diff,F,H)),H))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),$f485(N,Diff,F,H))).
% 115.51/114.28  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),H))|hAPP_n546711566l_real(Diff,zero_zero_nat)!=F|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f483(N,Diff,F,H)),H))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f485(N,Diff,F,H)),H)).
% 115.51/114.28  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),H))|hAPP_n546711566l_real(Diff,zero_zero_nat)!=F|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f483(N,Diff,F,H)),H))|hAPP_real_real(F,H)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_r474017924t_real(hAPP_f42270917t_real(cOMBC_nat_real_real,Diff),zero_zero_real))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat)))),hAPP_r474017924t_real(power_power_real,H))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_n546711566l_real(Diff,N),$f485(N,Diff,F,H))),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,H),N))).
% 115.51/114.28  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),H))|hAPP_n546711566l_real(Diff,zero_zero_nat)!=F| -hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(Diff,$f484(N,Diff,F,H)),$f483(N,Diff,F,H)),hAPP_real_real(hAPP_n546711566l_real(Diff,hAPP_nat_nat(suc,$f484(N,Diff,F,H))),$f483(N,Diff,F,H))))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),$f485(N,Diff,F,H))).
% 115.51/114.28  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),H))|hAPP_n546711566l_real(Diff,zero_zero_nat)!=F| -hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(Diff,$f484(N,Diff,F,H)),$f483(N,Diff,F,H)),hAPP_real_real(hAPP_n546711566l_real(Diff,hAPP_nat_nat(suc,$f484(N,Diff,F,H))),$f483(N,Diff,F,H))))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f485(N,Diff,F,H)),H)).
% 115.51/114.28  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),H))|hAPP_n546711566l_real(Diff,zero_zero_nat)!=F| -hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(Diff,$f484(N,Diff,F,H)),$f483(N,Diff,F,H)),hAPP_real_real(hAPP_n546711566l_real(Diff,hAPP_nat_nat(suc,$f484(N,Diff,F,H))),$f483(N,Diff,F,H))))|hAPP_real_real(F,H)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_r474017924t_real(hAPP_f42270917t_real(cOMBC_nat_real_real,Diff),zero_zero_real))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat)))),hAPP_r474017924t_real(power_power_real,H))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_n546711566l_real(Diff,N),$f485(N,Diff,F,H))),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,H),N))).
% 115.51/114.28  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),H))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|hAPP_n546711566l_real(Diff,zero_zero_nat)!=F|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f487(Diff,F,N,H)),N))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),$f488(Diff,F,N,H))).
% 115.51/114.28  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),H))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|hAPP_n546711566l_real(Diff,zero_zero_nat)!=F|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f487(Diff,F,N,H)),N))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,$f488(Diff,F,N,H)),H)).
% 115.51/114.28  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),H))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|hAPP_n546711566l_real(Diff,zero_zero_nat)!=F|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f487(Diff,F,N,H)),N))|hAPP_real_real(F,H)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_r474017924t_real(hAPP_f42270917t_real(cOMBC_nat_real_real,Diff),zero_zero_real))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat)))),hAPP_r474017924t_real(power_power_real,H))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_n546711566l_real(Diff,N),$f488(Diff,F,N,H))),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,H),N))).
% 115.51/114.28  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),H))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|hAPP_n546711566l_real(Diff,zero_zero_nat)!=F|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),$f486(Diff,F,N,H)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),$f488(Diff,F,N,H))).
% 115.51/114.28  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),H))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|hAPP_n546711566l_real(Diff,zero_zero_nat)!=F|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),$f486(Diff,F,N,H)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,$f488(Diff,F,N,H)),H)).
% 115.51/114.28  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),H))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|hAPP_n546711566l_real(Diff,zero_zero_nat)!=F|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),$f486(Diff,F,N,H)))|hAPP_real_real(F,H)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_r474017924t_real(hAPP_f42270917t_real(cOMBC_nat_real_real,Diff),zero_zero_real))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat)))),hAPP_r474017924t_real(power_power_real,H))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_n546711566l_real(Diff,N),$f488(Diff,F,N,H))),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,H),N))).
% 115.51/114.28  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),H))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|hAPP_n546711566l_real(Diff,zero_zero_nat)!=F|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f486(Diff,F,N,H)),H))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),$f488(Diff,F,N,H))).
% 115.51/114.28  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),H))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|hAPP_n546711566l_real(Diff,zero_zero_nat)!=F|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f486(Diff,F,N,H)),H))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,$f488(Diff,F,N,H)),H)).
% 115.51/114.28  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),H))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|hAPP_n546711566l_real(Diff,zero_zero_nat)!=F|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f486(Diff,F,N,H)),H))|hAPP_real_real(F,H)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_r474017924t_real(hAPP_f42270917t_real(cOMBC_nat_real_real,Diff),zero_zero_real))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat)))),hAPP_r474017924t_real(power_power_real,H))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_n546711566l_real(Diff,N),$f488(Diff,F,N,H))),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,H),N))).
% 115.51/114.28  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),H))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|hAPP_n546711566l_real(Diff,zero_zero_nat)!=F| -hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(Diff,$f487(Diff,F,N,H)),$f486(Diff,F,N,H)),hAPP_real_real(hAPP_n546711566l_real(Diff,hAPP_nat_nat(suc,$f487(Diff,F,N,H))),$f486(Diff,F,N,H))))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),$f488(Diff,F,N,H))).
% 115.51/114.28  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),H))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|hAPP_n546711566l_real(Diff,zero_zero_nat)!=F| -hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(Diff,$f487(Diff,F,N,H)),$f486(Diff,F,N,H)),hAPP_real_real(hAPP_n546711566l_real(Diff,hAPP_nat_nat(suc,$f487(Diff,F,N,H))),$f486(Diff,F,N,H))))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,$f488(Diff,F,N,H)),H)).
% 115.51/114.28  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),H))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|hAPP_n546711566l_real(Diff,zero_zero_nat)!=F| -hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(Diff,$f487(Diff,F,N,H)),$f486(Diff,F,N,H)),hAPP_real_real(hAPP_n546711566l_real(Diff,hAPP_nat_nat(suc,$f487(Diff,F,N,H))),$f486(Diff,F,N,H))))|hAPP_real_real(F,H)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_r474017924t_real(hAPP_f42270917t_real(cOMBC_nat_real_real,Diff),zero_zero_real))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat)))),hAPP_r474017924t_real(power_power_real,H))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_n546711566l_real(Diff,N),$f488(Diff,F,N,H))),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,H),N))).
% 115.51/114.28  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,H),zero_zero_real))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|hAPP_n546711566l_real(Diff,zero_zero_nat)!=F|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f490(Diff,F,N,H)),N))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,H),$f491(Diff,F,N,H))).
% 115.51/114.28  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,H),zero_zero_real))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|hAPP_n546711566l_real(Diff,zero_zero_nat)!=F|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f490(Diff,F,N,H)),N))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,$f491(Diff,F,N,H)),zero_zero_real)).
% 115.51/114.28  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,H),zero_zero_real))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|hAPP_n546711566l_real(Diff,zero_zero_nat)!=F|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f490(Diff,F,N,H)),N))|hAPP_real_real(F,H)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_r474017924t_real(hAPP_f42270917t_real(cOMBC_nat_real_real,Diff),zero_zero_real))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat)))),hAPP_r474017924t_real(power_power_real,H))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_n546711566l_real(Diff,N),$f491(Diff,F,N,H))),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,H),N))).
% 115.51/114.28  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,H),zero_zero_real))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|hAPP_n546711566l_real(Diff,zero_zero_nat)!=F|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,H),$f489(Diff,F,N,H)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,H),$f491(Diff,F,N,H))).
% 115.51/114.28  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,H),zero_zero_real))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|hAPP_n546711566l_real(Diff,zero_zero_nat)!=F|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,H),$f489(Diff,F,N,H)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,$f491(Diff,F,N,H)),zero_zero_real)).
% 115.51/114.28  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,H),zero_zero_real))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|hAPP_n546711566l_real(Diff,zero_zero_nat)!=F|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,H),$f489(Diff,F,N,H)))|hAPP_real_real(F,H)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_r474017924t_real(hAPP_f42270917t_real(cOMBC_nat_real_real,Diff),zero_zero_real))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat)))),hAPP_r474017924t_real(power_power_real,H))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_n546711566l_real(Diff,N),$f491(Diff,F,N,H))),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,H),N))).
% 115.51/114.28  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,H),zero_zero_real))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|hAPP_n546711566l_real(Diff,zero_zero_nat)!=F|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f489(Diff,F,N,H)),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,H),$f491(Diff,F,N,H))).
% 115.51/114.28  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,H),zero_zero_real))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|hAPP_n546711566l_real(Diff,zero_zero_nat)!=F|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f489(Diff,F,N,H)),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,$f491(Diff,F,N,H)),zero_zero_real)).
% 115.51/114.28  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,H),zero_zero_real))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|hAPP_n546711566l_real(Diff,zero_zero_nat)!=F|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f489(Diff,F,N,H)),zero_zero_real))|hAPP_real_real(F,H)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_r474017924t_real(hAPP_f42270917t_real(cOMBC_nat_real_real,Diff),zero_zero_real))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat)))),hAPP_r474017924t_real(power_power_real,H))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_n546711566l_real(Diff,N),$f491(Diff,F,N,H))),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,H),N))).
% 115.51/114.28  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,H),zero_zero_real))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|hAPP_n546711566l_real(Diff,zero_zero_nat)!=F| -hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(Diff,$f490(Diff,F,N,H)),$f489(Diff,F,N,H)),hAPP_real_real(hAPP_n546711566l_real(Diff,hAPP_nat_nat(suc,$f490(Diff,F,N,H))),$f489(Diff,F,N,H))))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,H),$f491(Diff,F,N,H))).
% 115.51/114.28  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,H),zero_zero_real))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|hAPP_n546711566l_real(Diff,zero_zero_nat)!=F| -hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(Diff,$f490(Diff,F,N,H)),$f489(Diff,F,N,H)),hAPP_real_real(hAPP_n546711566l_real(Diff,hAPP_nat_nat(suc,$f490(Diff,F,N,H))),$f489(Diff,F,N,H))))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,$f491(Diff,F,N,H)),zero_zero_real)).
% 115.51/114.28  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,H),zero_zero_real))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|hAPP_n546711566l_real(Diff,zero_zero_nat)!=F| -hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(Diff,$f490(Diff,F,N,H)),$f489(Diff,F,N,H)),hAPP_real_real(hAPP_n546711566l_real(Diff,hAPP_nat_nat(suc,$f490(Diff,F,N,H))),$f489(Diff,F,N,H))))|hAPP_real_real(F,H)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_r474017924t_real(hAPP_f42270917t_real(cOMBC_nat_real_real,Diff),zero_zero_real))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat)))),hAPP_r474017924t_real(power_power_real,H))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_n546711566l_real(Diff,N),$f491(Diff,F,N,H))),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,H),N))).
% 115.51/114.28  0 [] hAPP_n546711566l_real(Diff,zero_zero_nat)!=F| -hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(Diff,$f493(N,X_1,Diff,F)),$f492(N,X_1,Diff,F)),hAPP_real_real(hAPP_n546711566l_real(Diff,hAPP_nat_nat(suc,$f493(N,X_1,Diff,F))),$f492(N,X_1,Diff,F))))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,$f494(N,X_1,Diff,F))),hAPP_real_real(abs_abs_real,X_1))).
% 115.51/114.28  0 [] hAPP_n546711566l_real(Diff,zero_zero_nat)!=F| -hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(Diff,$f493(N,X_1,Diff,F)),$f492(N,X_1,Diff,F)),hAPP_real_real(hAPP_n546711566l_real(Diff,hAPP_nat_nat(suc,$f493(N,X_1,Diff,F))),$f492(N,X_1,Diff,F))))|hAPP_real_real(F,X_1)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_r474017924t_real(hAPP_f42270917t_real(cOMBC_nat_real_real,Diff),zero_zero_real))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat)))),hAPP_r474017924t_real(power_power_real,X_1))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_n546711566l_real(Diff,N),$f494(N,X_1,Diff,F))),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_1),N))).
% 115.51/114.28  0 [] hAPP_n546711566l_real(Diff,zero_zero_nat)!=F| -hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(Diff,$f496(N,X_1,Diff,F)),$f495(N,X_1,Diff,F)),hAPP_real_real(hAPP_n546711566l_real(Diff,hAPP_nat_nat(suc,$f496(N,X_1,Diff,F))),$f495(N,X_1,Diff,F))))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,$f497(N,X_1,Diff,F))),hAPP_real_real(abs_abs_real,X_1))).
% 115.51/114.28  0 [] hAPP_n546711566l_real(Diff,zero_zero_nat)!=F| -hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(Diff,$f496(N,X_1,Diff,F)),$f495(N,X_1,Diff,F)),hAPP_real_real(hAPP_n546711566l_real(Diff,hAPP_nat_nat(suc,$f496(N,X_1,Diff,F))),$f495(N,X_1,Diff,F))))|hAPP_real_real(F,X_1)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_r474017924t_real(hAPP_f42270917t_real(cOMBC_nat_real_real,Diff),zero_zero_real))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat)))),hAPP_r474017924t_real(power_power_real,X_1))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_n546711566l_real(Diff,N),$f497(N,X_1,Diff,F))),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_1),N))).
% 115.51/114.28  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f498(F,K_3,N)),N))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,F),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N)),K_3))).
% 115.51/114.28  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(F,$f498(F,K_3,N))),K_3))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,F),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N)),K_3))).
% 115.51/114.28  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),$f499(F,X_1,F_1,N,M)))|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(M),N)),X_1),hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_r474017924t_real(hAPP_f42270917t_real(cOMBC_nat_real_real,F_1),X_1)),hAPP_n1699378549t_bool(ord_at4362885an_nat(M),N)))).
% 115.51/114.28  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f499(F,X_1,F_1,N,M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),N)))|hBOOL(hAPP_real_bool(deriv_real(hAPP_f2119584768l_real(hAPP_f59594445l_real(cOMBC_2010481033l_real,hAPP_f1523861863l_real(hAPP_f1067681227l_real(cOMBB_1934313333l_real,big_co604158596t_real),hAPP_f42270917t_real(cOMBC_nat_real_real,F))),hAPP_n1699378549t_bool(ord_at4362885an_nat(M),N)),X_1),hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_r474017924t_real(hAPP_f42270917t_real(cOMBC_nat_real_real,F_1),X_1)),hAPP_n1699378549t_bool(ord_at4362885an_nat(M),N)))).
% 115.51/114.28  0 [] -hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(F,$f499(F,X_1,F_1,N,M)),X_1),hAPP_real_real(hAPP_n546711566l_real(F_1,$f499(F,X_1,F_1,N,M)),X_1)))|hBOOL(hAPP_real_bool(deriv_real(hAPP_f2119584768l_real(hAPP_f59594445l_real(cOMBC_2010481033l_real,hAPP_f1523861863l_real(hAPP_f1067681227l_real(cOMBB_1934313333l_real,big_co604158596t_real),hAPP_f42270917t_real(cOMBC_nat_real_real,F))),hAPP_n1699378549t_bool(ord_at4362885an_nat(M),N)),X_1),hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_r474017924t_real(hAPP_f42270917t_real(cOMBC_nat_real_real,F_1),X_1)),hAPP_n1699378549t_bool(ord_at4362885an_nat(M),N)))).
% 115.51/114.28  0 [] -hBOOL(summable_real(F))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,F),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),$f500(X_1,F)))),X_1))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_f352196356l_real(suminf_real,F)),X_1)).
% 115.51/114.29  0 [] -hBOOL(hAPP_f448129468l_bool(nat_nat_set,A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),$f501(F,A)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_f1594865479ol_int(hAPP_f1926459811ol_int(big_co230513141nt_int,F),A))).
% 115.51/114.29  0 [] -hBOOL(hAPP_f448129468l_bool(nat_nat_set,A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(F,$f501(F,A))))|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))).
% 115.51/114.29  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_nat_real(F,$f502(X_1,F))))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,F),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),$f503(X_1,F)))),X_1))|hBOOL(summable_real(F)).
% 115.51/114.29  0 [] 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,Aa)),hAPP_int_fun_nat_int(hAPP_f1673103573at_int(cOMBC_nat_int_int,hAPP_f1935805932nt_int(hAPP_f125788821nt_int(cOMBB_859312247nt_nat,times_times_int),semiri1621563631at_int)),D))),hAPP_n1699378549t_bool(ord_lessThan_nat,N)))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_nat_int(semiri1621563631at_int,N)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Aa),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Aa),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),one_one_nat))),D)))).
% 115.51/114.29  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,K_1),hAPP_nat_real(F,$f504(K_3,K_1,F))))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(F,$f504(K_3,K_1,F))),K_3))|hBOOL(bse_q_real(F)).
% 115.51/114.29  0 [] hBOOL(hAPP_f54304608l_bool(finite_finite_nat,hAPP_n1699378549t_bool(ord_lessThan_nat,K_1))).
% 115.51/114.29  0 [] hAPP_f22106695ol_nat(finite_card_nat,hAPP_n1699378549t_bool(ord_lessThan_nat,U))=U.
% 115.51/114.29  0 [] hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N)=hAPP_n1699378549t_bool(ord_lessThan_nat,N).
% 115.51/114.29  0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,S))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,S),hAPP_n1699378549t_bool(ord_lessThan_nat,$f505(S)))).
% 115.51/114.29  0 [] hBOOL(hAPP_f54304608l_bool(finite_finite_nat,S))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,S),hAPP_n1699378549t_bool(ord_lessThan_nat,K))).
% 115.51/114.29  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat))),hAPP_f22106695ol_nat(hAPP_f782000547ol_nat(big_co387207925at_nat,hAPP_f1914919701at_nat(hAPP_f1585078997at_nat(cOMBB_nat_nat_nat,hAPP_nat_fun_nat_nat(plus_plus_nat,Aa)),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,times_times_nat),D))),hAPP_n1699378549t_bool(ord_lessThan_nat,N)))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Aa),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Aa),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),one_one_nat)),D)))).
% 115.51/114.29  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),U))|hAPP_i1948725293t_bool(ord_at641636577an_int(zero_zero_int),U)=image_nat_int(semiri1621563631at_int,hAPP_n1699378549t_bool(ord_lessThan_nat,hAPP_int_nat(nat,U))).
% 115.51/114.29  0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,S))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,S),hAPP_n1699378549t_bool(ord_lessThan_nat,$f506(S)))).
% 115.51/114.29  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(Q_2,$f507(N,Q_2,P_1))),hAPP_nat_nat(P_1,$f507(N,Q_2,P_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,N))),hAPP_f22106695ol_nat(hAPP_f782000547ol_nat(big_co387207925at_nat,Q_2),hAPP_n1699378549t_bool(ord_lessThan_nat,N)))=hAPP_f22106695ol_nat(hAPP_f782000547ol_nat(big_co387207925at_nat,hAPP_f1914919701at_nat(hAPP_f1408247010at_nat(cOMBS_nat_nat_nat,hAPP_f1639111240at_nat(hAPP_f1731313045at_nat(cOMBB_963856155at_nat,minus_minus_nat),P_1)),Q_2)),hAPP_n1699378549t_bool(ord_lessThan_nat,N)).
% 115.51/114.29  0 [] comple124823625p_real(hAPP_r1134773055l_bool(ord_lessThan_real,X_1))=X_1.
% 115.51/114.29  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),$f508(P_2,P_1)))|collect_int(hAPP_f1805168059t_bool(hAPP_f727283836t_bool(cOMBS_int_bool_bool,hAPP_f2144054103l_bool(hAPP_f1734373249l_bool(cOMBB_1652995168ol_int,fconj),hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int))),P_1))=collect_int(hAPP_f1805168059t_bool(hAPP_f727283836t_bool(cOMBS_int_bool_bool,hAPP_f2144054103l_bool(hAPP_f1734373249l_bool(cOMBB_1652995168ol_int,fconj),hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int))),P_2)).
% 115.51/114.29  0 [] hBOOL(hAPP_int_bool(P_1,$f508(P_2,P_1)))|hBOOL(hAPP_int_bool(P_2,$f508(P_2,P_1)))|collect_int(hAPP_f1805168059t_bool(hAPP_f727283836t_bool(cOMBS_int_bool_bool,hAPP_f2144054103l_bool(hAPP_f1734373249l_bool(cOMBB_1652995168ol_int,fconj),hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int))),P_1))=collect_int(hAPP_f1805168059t_bool(hAPP_f727283836t_bool(cOMBS_int_bool_bool,hAPP_f2144054103l_bool(hAPP_f1734373249l_bool(cOMBB_1652995168ol_int,fconj),hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int))),P_2)).
% 115.51/114.29  0 [] -hBOOL(hAPP_int_bool(P_1,$f508(P_2,P_1)))| -hBOOL(hAPP_int_bool(P_2,$f508(P_2,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))=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)).
% 115.51/114.29  0 [] -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)))).
% 115.51/114.29  0 [] 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).
% 115.51/114.29  0 [] 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,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))))).
% 115.51/114.29  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,X),Y)),X)).
% 115.51/114.29  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,X),Y)),Y)).
% 115.51/114.29  0 [] hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A_2),B_1)!=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_2),N_1)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,B_1),M_1))=one_one_int.
% 115.51/114.29  0 [] hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X),Y)),M_1)!=one_one_int|hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,X),M_1)=one_one_int.
% 115.51/114.29  0 [] hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,K_2),N_1)!=one_one_int| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_2),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,M_1),N_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_2),M_1)).
% 115.51/114.29  0 [] hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,K_1),N)!=one_one_int| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_1),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,M),N)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_1),M)).
% 115.51/114.29  0 [] hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,K_1),N)!=one_one_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_1),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,M),N)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_1),M)).
% 115.51/114.29  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,M_1),R_3))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,N_1),R_3))|hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,M_1),N_1)!=one_one_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,M_1),N_1)),R_3)).
% 115.51/114.29  0 [] hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A_2),B_1)=zero_zero_int|A_2!=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_2),B_1))|B_1!=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_4),hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A_2),B_1))|hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A_4),B_4)=one_one_int.
% 115.51/114.29  0 [] 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)).
% 115.51/114.29  0 [] hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,M_1),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_1)),N_1))=hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,M_1),N_1).
% 115.51/114.29  0 [] hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,M_1),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,M_1),N_1))=hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,M_1),N_1).
% 115.51/114.29  0 [] hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,M_1),N_1)),N_1)=hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,M_1),N_1).
% 115.51/114.29  0 [] hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,N_1),one_one_int)),N_1)=one_one_int.
% 115.51/114.29  0 [] hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,N_1),one_one_int)),N_1)=one_one_int.
% 115.51/114.29  0 [] hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,D_3),A_2)!=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_2),N_1))=one_one_int.
% 115.51/114.29  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D_3),A_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,E_1),B_1))|hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A_2),B_1)!=one_one_int|hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,D_3),E_1)=one_one_int.
% 115.51/114.29  0 [] hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,M_1),one_one_int)=one_one_int.
% 115.51/114.29  0 [] hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,M),N)!=zero_zero_int|M=zero_zero_int.
% 115.51/114.29  0 [] hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,M),N)!=zero_zero_int|N=zero_zero_int.
% 115.51/114.29  0 [] hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,M),N)=zero_zero_int|M!=zero_zero_int|N!=zero_zero_int.
% 115.51/114.29  0 [] 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)).
% 115.51/114.29  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_1),hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,M),N)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_1),M)).
% 115.51/114.29  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_1),hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,M),N)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_1),N)).
% 115.51/114.29  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_1),hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,M),N)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_1),M))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_1),N)).
% 115.51/114.29  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_2),M_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_2),N_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_2),hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,M_1),N_1))).
% 115.51/114.29  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,I),hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,M_1),N_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,I),M_1)).
% 115.51/114.29  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,I),hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,M_1),N_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,I),N_1)).
% 115.51/114.29  0 [] hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A_2),B_1)),C_1)=hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A_2),hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,B_1),C_1)).
% 115.51/114.29  0 [] hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,B_1),hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A_2),C_1))=hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A_2),hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,B_1),C_1)).
% 115.51/114.29  0 [] hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A_2),B_1)=hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,B_1),A_2).
% 115.51/114.29  0 [] hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_2),N_1)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,B_1),N_1))=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A_2),B_1)),N_1).
% 115.51/114.29  0 [] 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_1),N_1))=hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_2),M_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_2),N_1)).
% 115.51/114.29  0 [] 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).
% 115.51/114.29  0 [] hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,X),X)=hAPP_int_int(abs_abs_int,X).
% 115.51/114.29  0 [] 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)).
% 115.51/114.29  0 [] 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).
% 115.51/114.29  0 [] 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).
% 115.51/114.29  0 [] 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).
% 115.51/114.29  0 [] 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).
% 115.51/114.29  0 [] -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).
% 115.51/114.29  0 [] -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).
% 115.51/114.29  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,M),N)))|M!=zero_zero_int|N!=zero_zero_int.
% 115.51/114.29  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,M),N)))|M=zero_zero_int.
% 115.51/114.29  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,M),N)))|N=zero_zero_int.
% 115.51/114.29  0 [] hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,zero_zero_int),X)=hAPP_int_int(abs_abs_int,X).
% 115.51/114.29  0 [] hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,X),zero_zero_int)=hAPP_int_int(abs_abs_int,X).
% 115.51/114.29  0 [] 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_2),B_1))!=one_one_int|hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,D_3),B_1)=one_one_int.
% 115.51/114.29  0 [] 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_2),B_1))!=one_one_int|hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,D_3),A_2)=one_one_int.
% 115.51/114.29  0 [] hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,D_3),A_2)!=one_one_int|hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,D_3),B_1)!=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_2),B_1))=one_one_int.
% 115.51/114.29  0 [] hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,K_2),N_1)!=one_one_int|hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_2),M_1)),N_1)=hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,M_1),N_1).
% 115.51/114.29  0 [] hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,D),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Aa),Ba))!=one_one_int|hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,D),Aa)=one_one_int.
% 115.51/114.29  0 [] hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,D),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Aa),Ba))!=one_one_int|hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,D),Ba)=one_one_int.
% 115.51/114.29  0 [] hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,D),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Aa),Ba))=one_one_int|hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,D),Aa)!=one_one_int|hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,D),Ba)!=one_one_int.
% 115.51/114.29  0 [] hAPP_int_rat(hAPP_int_fun_int_rat(fract,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_2),hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A_2),B_1))),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,B_1),hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A_2),B_1)))=hAPP_int_rat(hAPP_int_fun_int_rat(fract,A_2),B_1).
% 115.51/114.29  0 [] A_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_2),hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A_2),B_1))),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,B_1),hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A_2),B_1)))=one_one_int.
% 115.51/114.29  0 [] B_1=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_2),hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A_2),B_1))),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,B_1),hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A_2),B_1)))=one_one_int.
% 115.51/114.29  0 [] -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)).
% 115.51/114.29  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,X),Y))).
% 115.51/114.29  0 [] 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))).
% 115.51/114.29  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_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_2),B_1)),A_2)).
% 115.51/114.29  0 [] -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,hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A_2),B_1)),B_1)).
% 115.51/114.29  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),D))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),Aa))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),Ba))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,$f509(Ba,Aa,D)),Aa))|D=hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,Aa),Ba).
% 115.51/114.29  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),D))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),Aa))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),Ba))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,$f509(Ba,Aa,D)),Ba))|D=hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,Aa),Ba).
% 115.51/114.29  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),D))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),Aa))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),Ba))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,$f509(Ba,Aa,D)),D))|D=hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,Aa),Ba).
% 115.51/114.29  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),D))|D!=hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,Aa),Ba).
% 115.51/114.29  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),Aa))|D!=hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,Aa),Ba).
% 115.51/114.29  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),Ba))|D!=hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,Aa),Ba).
% 115.51/114.29  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,E),Aa))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,E),Ba))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,E),D))|D!=hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,Aa),Ba).
% 115.51/114.29  0 [] 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,X_1),zero_zero_int))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,X_1),Y_2))).
% 115.51/114.29  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y_2))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,hAPP_int_int(uminus_uminus_int,X_1)),hAPP_int_int(uminus_uminus_int,Y_2))))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,X_1),Y_2))).
% 115.51/114.29  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,hAPP_int_int(uminus_uminus_int,X_1)),Y_2)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,hAPP_int_int(uminus_uminus_int,X_1)),hAPP_int_int(uminus_uminus_int,Y_2))))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,X_1),Y_2))).
% 115.51/114.29  0 [] 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,Y_2),zero_zero_int))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,hAPP_int_int(uminus_uminus_int,X_1)),Y_2)))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,X_1),Y_2))).
% 115.51/114.29  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y_2))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_2),zero_zero_int))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,X_1),Y_2))).
% 115.51/114.29  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y_2))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,X_1),hAPP_int_int(uminus_uminus_int,Y_2))))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),zero_zero_int))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,X_1),Y_2))).
% 115.51/114.29  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y_2))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,X_1),hAPP_int_int(uminus_uminus_int,Y_2))))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,hAPP_int_int(uminus_uminus_int,X_1)),hAPP_int_int(uminus_uminus_int,Y_2))))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,X_1),Y_2))).
% 115.51/114.29  0 [] hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,Aa),D)!=one_one_int|hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,Ba),C)!=one_one_int|hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(abs_abs_int,Aa)),hAPP_int_int(abs_abs_int,C))!=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(abs_abs_int,Ba)),hAPP_int_int(abs_abs_int,D))|hAPP_int_int(abs_abs_int,Aa)=hAPP_int_int(abs_abs_int,Ba).
% 115.51/114.29  0 [] hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,Aa),D)!=one_one_int|hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,Ba),C)!=one_one_int|hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(abs_abs_int,Aa)),hAPP_int_int(abs_abs_int,C))!=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(abs_abs_int,Ba)),hAPP_int_int(abs_abs_int,D))|hAPP_int_int(abs_abs_int,C)=hAPP_int_int(abs_abs_int,D).
% 115.51/114.29  0 [] hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,Aa),D)!=one_one_int|hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,Ba),C)!=one_one_int|hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(abs_abs_int,Aa)),hAPP_int_int(abs_abs_int,C))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(abs_abs_int,Ba)),hAPP_int_int(abs_abs_int,D))|hAPP_int_int(abs_abs_int,Aa)!=hAPP_int_int(abs_abs_int,Ba)|hAPP_int_int(abs_abs_int,C)!=hAPP_int_int(abs_abs_int,D).
% 115.51/114.29  0 [] hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,K_1),L)=hAPP_int_int(abs_abs_int,hAPP_int_int(hAPP_int_fun_int_int(hAPP_b1463609396nt_int(if_int,hAPP_int_bool(hAPP_i1948725293t_bool(fe_qual_int,L),zero_zero_int)),K_1),hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,L),hAPP_int_int(div_mod_int(hAPP_int_int(abs_abs_int,K_1)),hAPP_int_int(abs_abs_int,L))))).
% 115.51/114.29  0 [] hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A_2),B_1)!=one_one_int| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X),A_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X),B_1))|hAPP_int_int(abs_abs_int,X)=one_one_int.
% 115.51/114.29  0 [] quotient_of(R_3)!=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.
% 115.51/114.29  0 [] normalize(R_3)!=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.
% 115.51/114.29  0 [] hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,Aa),Ba)!=one_one_int| -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),Aa))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D_2),Ba))|D_2=one_one_int.
% 115.51/114.29  0 [] hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,Aa),Ba)!=one_one_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),D_2))|D_2!=one_one_int.
% 115.51/114.29  0 [] hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,Aa),Ba)!=one_one_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D_2),Aa))|D_2!=one_one_int.
% 115.51/114.29  0 [] hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,Aa),Ba)!=one_one_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D_2),Ba))|D_2!=one_one_int.
% 115.51/114.29  0 [] hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,Aa),Ba)=one_one_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),$f510(Aa,Ba)))|$f510(Aa,Ba)=one_one_int.
% 115.51/114.29  0 [] hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,Aa),Ba)=one_one_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,$f510(Aa,Ba)),Aa))|$f510(Aa,Ba)=one_one_int.
% 115.51/114.29  0 [] hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,Aa),Ba)=one_one_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,$f510(Aa,Ba)),Ba))|$f510(Aa,Ba)=one_one_int.
% 115.51/114.29  0 [] hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,Aa),Ba)=one_one_int| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),$f510(Aa,Ba)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,$f510(Aa,Ba)),Aa))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,$f510(Aa,Ba)),Ba))|$f510(Aa,Ba)!=one_one_int.
% 115.51/114.29  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y))|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)).
% 115.51/114.29  0 [] 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)))).
% 115.51/114.29  0 [] -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).
% 115.51/114.29  0 [] quotient_of(X_1)=the_Pr2103884470nt_int(hAPP_f237669397t_bool(hAPP_f461489489t_bool(cOMBS_400904860l_bool,hAPP_f365317245l_bool(hAPP_f1961001761l_bool(cOMBB_1550063917nt_int,fconj),hAPP_f1084724746t_bool(hAPP_f374502857t_bool(cOMBB_569260360nt_int,hAPP_r2115560837t_bool(fe_qual_rat,X_1)),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)))).
% 115.51/114.29  0 [] R_3=hAPP_int_rat(hAPP_int_fun_int_rat(fract,hAPP_P1175774780nt_int(product_fst_int_int,$f511(R_3))),hAPP_P1175774780nt_int(product_snd_int_int,$f511(R_3))).
% 115.51/114.29  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_P1175774780nt_int(product_snd_int_int,$f511(R_3)))).
% 115.51/114.29  0 [] hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,hAPP_P1175774780nt_int(product_fst_int_int,$f511(R_3))),hAPP_P1175774780nt_int(product_snd_int_int,$f511(R_3)))=one_one_int.
% 115.51/114.29  0 [] R_3!=hAPP_int_rat(hAPP_int_fun_int_rat(fract,hAPP_P1175774780nt_int(product_fst_int_int,Y_1)),hAPP_P1175774780nt_int(product_snd_int_int,Y_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_P1175774780nt_int(product_snd_int_int,Y_1)))|hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,hAPP_P1175774780nt_int(product_fst_int_int,Y_1)),hAPP_P1175774780nt_int(product_snd_int_int,Y_1))!=one_one_int|Y_1=$f511(R_3).
% 115.51/114.29  0 [] Q_1=hAPP_int_rat(hAPP_int_fun_int_rat(fract,$f513(Q_1)),$f512(Q_1))|Q_1=zero_zero_rat.
% 115.51/114.29  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),$f512(Q_1)))|Q_1=zero_zero_rat.
% 115.51/114.29  0 [] $f513(Q_1)!=zero_zero_int|Q_1=zero_zero_rat.
% 115.51/114.29  0 [] hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,$f513(Q_1)),$f512(Q_1))=one_one_int|Q_1=zero_zero_rat.
% 115.51/114.29  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),$f514(Qa,P_1)))|hBOOL(hAPP_rat_bool(P_1,Qa)).
% 115.51/114.29  0 [] hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,$f515(Qa,P_1)),$f514(Qa,P_1))=one_one_int|hBOOL(hAPP_rat_bool(P_1,Qa)).
% 115.51/114.29  0 [] -hBOOL(hAPP_rat_bool(P_1,hAPP_int_rat(hAPP_int_fun_int_rat(fract,$f515(Qa,P_1)),$f514(Qa,P_1))))|hBOOL(hAPP_rat_bool(P_1,Qa)).
% 115.51/114.29  0 [] Q_1=hAPP_int_rat(hAPP_int_fun_int_rat(fract,$f517(Q_1)),$f516(Q_1)).
% 115.51/114.29  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),$f516(Q_1))).
% 115.51/114.29  0 [] hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,$f517(Q_1)),$f516(Q_1))=one_one_int.
% 115.51/114.29  0 [] -hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,S))|hBOOL(hAPP_f215623910l_bool(hAPP_f628503027l_bool(member_fun_int_bool,$f518(N,S)),S))|hBOOL(hAPP_f215623910l_bool(hAPP_f628503027l_bool(member_fun_int_bool,$f519(N,S)),S))|hAPP_f521865025ol_nat(hAPP_f93439879ol_nat(big_co1758102091ol_nat,finite_card_int),S)=hAPP_f521865025ol_nat(hAPP_f93439879ol_nat(big_co1758102091ol_nat,cOMBK_1643584600t_bool(N)),S).
% 115.51/114.29  0 [] -hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,S))|hBOOL(hAPP_f215623910l_bool(hAPP_f628503027l_bool(member_fun_int_bool,$f518(N,S)),S))|hAPP_f957591787ol_nat(finite_card_int,$f519(N,S))!=N|hAPP_f521865025ol_nat(hAPP_f93439879ol_nat(big_co1758102091ol_nat,finite_card_int),S)=hAPP_f521865025ol_nat(hAPP_f93439879ol_nat(big_co1758102091ol_nat,cOMBK_1643584600t_bool(N)),S).
% 115.51/114.29  0 [] -hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,S))| -hBOOL(hAPP_f448129468l_bool(finite_finite_int,$f518(N,S)))|hBOOL(hAPP_f215623910l_bool(hAPP_f628503027l_bool(member_fun_int_bool,$f519(N,S)),S))|hAPP_f521865025ol_nat(hAPP_f93439879ol_nat(big_co1758102091ol_nat,finite_card_int),S)=hAPP_f521865025ol_nat(hAPP_f93439879ol_nat(big_co1758102091ol_nat,cOMBK_1643584600t_bool(N)),S).
% 115.51/114.29  0 [] -hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,S))| -hBOOL(hAPP_f448129468l_bool(finite_finite_int,$f518(N,S)))|hAPP_f957591787ol_nat(finite_card_int,$f519(N,S))!=N|hAPP_f521865025ol_nat(hAPP_f93439879ol_nat(big_co1758102091ol_nat,finite_card_int),S)=hAPP_f521865025ol_nat(hAPP_f93439879ol_nat(big_co1758102091ol_nat,cOMBK_1643584600t_bool(N)),S).
% 115.51/114.29  0 [] 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)))).
% 115.51/114.29  0 [] 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)))))).
% 115.51/114.29  0 [] 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))))))).
% 115.51/114.29  0 [] -hBOOL(tendsto_nat_real(Aa,zero_zero_real,se_quentially))| -hBOOL(monose_q_real(Aa))|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)))),Aa))),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)))),Aa)),se_quentially)).
% 115.51/114.29  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),S_1))|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,S_1)),zero_zero_real,se_quentially)).
% 115.51/114.29  0 [] hBOOL(tendsto_nat_real(hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,hAPP_r1250527377l_real(plus_plus_real,R_2)),hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,uminus_uminus_real),hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,inverse_inverse_real),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),suc)))),R_2,se_quentially)).
% 115.51/114.29  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),X_1))|hBOOL(tendsto_nat_real(hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,inverse_inverse_real),hAPP_r474017924t_real(power_power_real,X_1)),zero_zero_real,se_quentially)).
% 115.51/114.29  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),X_1))|hBOOL(tendsto_nat_real(hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,hAPP_r1250527377l_real(inverse_divide_real,Aa)),hAPP_r474017924t_real(power_power_real,X_1)),zero_zero_real,se_quentially)).
% 115.51/114.29  0 [] 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)).
% 115.51/114.29  0 [] -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)).
% 115.51/114.29  0 [] 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)).
% 115.51/114.29  0 [] -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)).
% 115.51/114.29  0 [] hBOOL(tendsto_nat_real(hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,hAPP_r1250527377l_real(plus_plus_real,R_2)),hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,inverse_inverse_real),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),suc))),R_2,se_quentially)).
% 115.51/114.29  0 [] -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)).
% 115.51/114.29  0 [] -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)).
% 115.51/114.29  0 [] -hBOOL(monose_q_real(Aa))| -hBOOL(tendsto_nat_real(Aa,X_1,se_quentially))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(Aa,N_2)),X_1))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),hAPP_nat_real(Aa,X12))).
% 115.51/114.29  0 [] -hBOOL(monose_q_real(Aa))| -hBOOL(tendsto_nat_real(Aa,X_1,se_quentially))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(Aa,N_2)),X_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X13),X14))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(Aa,X14)),hAPP_nat_real(Aa,X13))).
% 115.51/114.29  0 [] -hBOOL(monose_q_real(Aa))| -hBOOL(tendsto_nat_real(Aa,X_1,se_quentially))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_2),X11))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(Aa,M_2)),hAPP_nat_real(Aa,X11)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),hAPP_nat_real(Aa,X12))).
% 115.51/114.29  0 [] -hBOOL(monose_q_real(Aa))| -hBOOL(tendsto_nat_real(Aa,X_1,se_quentially))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_2),X11))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(Aa,M_2)),hAPP_nat_real(Aa,X11)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X13),X14))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(Aa,X14)),hAPP_nat_real(Aa,X13))).
% 115.51/114.29  0 [] -hBOOL(tendsto_nat_real(X_3,X_1,se_quentially))| -hBOOL(tendsto_nat_real(Y_3,Y_2,se_quentially))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_3),$f520(Y_3,Y_2,X_3,X_1,N_3)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_2)).
% 115.51/114.29  0 [] -hBOOL(tendsto_nat_real(X_3,X_1,se_quentially))| -hBOOL(tendsto_nat_real(Y_3,Y_2,se_quentially))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(X_3,$f520(Y_3,Y_2,X_3,X_1,N_3))),hAPP_nat_real(Y_3,$f520(Y_3,Y_2,X_3,X_1,N_3))))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_2)).
% 115.51/114.29  0 [] -hBOOL(tendsto_nat_real(X_3,X_1,se_quentially))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_3),$f521(Aa,X_3,X_1,N_3)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Aa)).
% 115.51/114.29  0 [] -hBOOL(tendsto_nat_real(X_3,X_1,se_quentially))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(X_3,$f521(Aa,X_3,X_1,N_3))),Aa))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Aa)).
% 115.51/114.29  0 [] -hBOOL(tendsto_nat_real(X_3,X_1,se_quentially))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_3),$f522(Aa,X_3,X_1,N_3)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),X_1)).
% 115.51/114.29  0 [] -hBOOL(tendsto_nat_real(X_3,X_1,se_quentially))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),hAPP_nat_real(X_3,$f522(Aa,X_3,X_1,N_3))))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),X_1)).
% 115.51/114.29  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),one_one_real))|hBOOL(tendsto_nat_real(hAPP_r474017924t_real(power_power_real,X_1),zero_zero_real,se_quentially)).
% 115.51/114.29  0 [] hBOOL(tendsto_nat_real(hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,hAPP_r1250527377l_real(times_times_real,R_2)),hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,hAPP_r1250527377l_real(plus_plus_real,one_one_real)),hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,uminus_uminus_real),hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,inverse_inverse_real),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),suc))))),R_2,se_quentially)).
% 115.51/114.29  0 [] -hBOOL(tendsto_nat_real(Aa,zero_zero_real,se_quentially))| -hBOOL(monose_q_real(Aa))|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)))),Aa))).
% 115.51/114.29  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,X_1)),one_one_real))|hBOOL(tendsto_nat_real(hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,hAPP_r1250527377l_real(inverse_divide_real,one_one_real)),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,hAPP_f1639111240at_nat(hAPP_f1731313045at_nat(cOMBB_963856155at_nat,plus_plus_nat),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,times_times_nat),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),one_one_nat))))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,hAPP_r474017924t_real(power_power_real,X_1)),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)).
% 115.51/114.30  0 [] 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)))))).
% 115.51/114.30  0 [] -hBOOL(tendsto_nat_real(Aa,zero_zero_real,se_quentially))| -hBOOL(monose_q_real(Aa))|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)))),Aa))),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)))),Aa)),se_quentially)).
% 115.51/114.30  0 [] -hBOOL(tendsto_nat_real(Aa,zero_zero_real,se_quentially))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_nat_real(Aa,$f523(N,Aa))))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(Aa,hAPP_nat_nat(suc,$f524(N,Aa)))),hAPP_nat_real(Aa,$f524(N,Aa))))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_f352196356l_real(suminf_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min)))),Aa))),hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min)))),Aa)),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N)),one_one_nat))))).
% 115.51/114.30  0 [] -hBOOL(tendsto_nat_real(Aa,zero_zero_real,se_quentially))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_nat_real(Aa,$f525(Aa))))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(Aa,hAPP_nat_nat(suc,$f526(Aa)))),hAPP_nat_real(Aa,$f526(Aa))))|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)))),Aa))),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)))),Aa)),se_quentially)).
% 115.51/114.30  0 [] -hBOOL(tendsto_nat_complex(X_3,Aa,se_quentially))|hBOOL(tendsto_nat_complex(hAPP_f1646117269omplex(hAPP_f1457396693omplex(cOMBB_117013006ex_nat,cnj),X_3),hAPP_complex_complex(cnj,Aa),se_quentially)).
% 115.51/114.30  0 [] -hBOOL(tendsto_nat_complex(X_3,Aa,se_quentially))|hBOOL(tendsto_nat_real(hAPP_f1290670424t_real(hAPP_f327026105t_real(cOMBB_722610049al_nat,re),X_3),hAPP_complex_real(re,Aa),se_quentially)).
% 115.51/114.30  0 [] -hBOOL(tendsto_nat_complex(X_3,Aa,se_quentially))|hBOOL(tendsto_nat_real(hAPP_f1290670424t_real(hAPP_f327026105t_real(cOMBB_722610049al_nat,im),X_3),hAPP_complex_real(im,Aa),se_quentially)).
% 115.51/114.30  0 [] -hBOOL(tendsto_nat_real(X_3,Aa,se_quentially))| -hBOOL(tendsto_nat_real(Y_3,Ba,se_quentially))|hBOOL(tendsto_nat_complex(hAPP_f219720582omplex(hAPP_f1052840010omplex(cOMBS_696648398omplex,hAPP_f23851874omplex(hAPP_f406530075omplex(cOMBB_1714920583ex_nat,complex),X_3)),Y_3),hAPP_real_complex(hAPP_r265291036omplex(complex,Aa),Ba),se_quentially)).
% 115.51/114.30  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba))| -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,Aa,Ba)))),hAPP_f73570213t_real(hAPP_f918606171t_real(cOMBB_64450052al_nat,produc556554744l_real),bolzano_bisect(P_1,Aa,Ba))),zero_zero_real,se_quentially))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_P731461727l_real(produc1935615926l_real,hAPP_n332733730l_real(bolzano_bisect(P_1,Aa,Ba),N_2))),$f527(P_1,Aa,Ba))).
% 115.51/114.30  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba))| -hBOOL(tendsto_nat_real(hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,minus_minus_real),hAPP_f73570213t_real(hAPP_f918606171t_real(cOMBB_64450052al_nat,produc1935615926l_real),bolzano_bisect(P_1,Aa,Ba)))),hAPP_f73570213t_real(hAPP_f918606171t_real(cOMBB_64450052al_nat,produc556554744l_real),bolzano_bisect(P_1,Aa,Ba))),zero_zero_real,se_quentially))|hBOOL(tendsto_nat_real(hAPP_f73570213t_real(hAPP_f918606171t_real(cOMBB_64450052al_nat,produc1935615926l_real),bolzano_bisect(P_1,Aa,Ba)),$f527(P_1,Aa,Ba),se_quentially)).
% 115.51/114.30  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba))| -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,Aa,Ba)))),hAPP_f73570213t_real(hAPP_f918606171t_real(cOMBB_64450052al_nat,produc556554744l_real),bolzano_bisect(P_1,Aa,Ba))),zero_zero_real,se_quentially))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f527(P_1,Aa,Ba)),hAPP_P731461727l_real(produc556554744l_real,hAPP_n332733730l_real(bolzano_bisect(P_1,Aa,Ba),X15)))).
% 115.51/114.30  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),Ba))| -hBOOL(tendsto_nat_real(hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,minus_minus_real),hAPP_f73570213t_real(hAPP_f918606171t_real(cOMBB_64450052al_nat,produc1935615926l_real),bolzano_bisect(P_1,Aa,Ba)))),hAPP_f73570213t_real(hAPP_f918606171t_real(cOMBB_64450052al_nat,produc556554744l_real),bolzano_bisect(P_1,Aa,Ba))),zero_zero_real,se_quentially))|hBOOL(tendsto_nat_real(hAPP_f73570213t_real(hAPP_f918606171t_real(cOMBB_64450052al_nat,produc556554744l_real),bolzano_bisect(P_1,Aa,Ba)),$f527(P_1,Aa,Ba),se_quentially)).
% 115.51/114.30  0 [] -hBOOL(tendsto_nat_real(Aa,zero_zero_real,se_quentially))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_nat_real(Aa,$f528(Aa))))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(Aa,hAPP_nat_nat(suc,$f529(Aa)))),hAPP_nat_real(Aa,$f529(Aa))))|hBOOL(tendsto_nat_real(hAPP_f292751352t_real(hAPP_f1607377819t_real(cOMBB_1533963633al_nat,hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min)))),Aa))),hAPP_f618557131t_bool(hAPP_f1505651103t_bool(cOMBB_800536526ol_nat,ord_at4362885an_nat(zero_zero_nat)),hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),hAPP_f352196356l_real(suminf_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min)))),Aa)),se_quentially)).
% 115.51/114.30  0 [] -hBOOL(tendsto_nat_real(Aa,zero_zero_real,se_quentially))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_nat_real(Aa,$f530(N,Aa))))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(Aa,hAPP_nat_nat(suc,$f531(N,Aa)))),hAPP_nat_real(Aa,$f531(N,Aa))))|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)))),Aa)),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N)))),hAPP_f352196356l_real(suminf_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min)))),Aa)))).
% 115.51/114.30  0 [] -hBOOL(tendsto_nat_real(Aa,zero_zero_real,se_quentially))| -hBOOL(monose_q_real(Aa))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(Aa,zero_zero_nat)),zero_zero_real))|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)))),Aa))),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)))),Aa)),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N_2)),one_one_nat)))),hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min)))),Aa)),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N_2)))))).
% 115.51/114.30  0 [] -hBOOL(tendsto_nat_real(Aa,zero_zero_real,se_quentially))| -hBOOL(monose_q_real(Aa))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(Aa,zero_zero_nat)))|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)))),Aa))),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)))),Aa)),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N_2)))),hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min)))),Aa)),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N_2)),one_one_nat)))))).
% 115.51/114.30  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_2),X_1))|comple124823625p_real(hAPP_r1134773055l_bool(ord_at1589558736t_real(Y_2),X_1))=X_1.
% 115.51/114.30  0 [] -hBOOL(tendsto_nat_real(Aa,zero_zero_real,se_quentially))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_nat_real(Aa,$f532(Aa))))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(Aa,hAPP_nat_nat(suc,$f533(Aa)))),hAPP_nat_real(Aa,$f533(Aa))))|hBOOL(summable_real(hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min)))),Aa))).
% 115.51/114.30  0 [] hBOOL(hAPP_f54304608l_bool(finite_finite_nat,hAPP_n1699378549t_bool(ord_at238088361st_nat(L),U))).
% 115.51/114.30  0 [] hBOOL(hAPP_f448129468l_bool(finite_finite_int,hAPP_i1948725293t_bool(ord_at875362053st_int(L),U))).
% 115.51/114.30  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_2),N))| -hBOOL(hAPP_nat_bool(P_1,M_2))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f534(P_1,N)),hAPP_n1699378549t_bool(ord_at238088361st_nat(zero_zero_nat),N))).
% 115.51/114.30  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_2),N))| -hBOOL(hAPP_nat_bool(P_1,M_2))|hBOOL(hAPP_nat_bool(P_1,$f534(P_1,N))).
% 115.51/114.30  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,$f535(P_1,N)),N))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),hAPP_n1699378549t_bool(ord_at238088361st_nat(zero_zero_nat),N)))| -hBOOL(hAPP_nat_bool(P_1,X_2)).
% 115.51/114.30  0 [] hBOOL(hAPP_nat_bool(P_1,$f535(P_1,N)))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),hAPP_n1699378549t_bool(ord_at238088361st_nat(zero_zero_nat),N)))| -hBOOL(hAPP_nat_bool(P_1,X_2)).
% 115.51/114.30  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,$f536(P_1,N)),N))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),hAPP_n1699378549t_bool(ord_at238088361st_nat(zero_zero_nat),N)))|hBOOL(hAPP_nat_bool(P_1,X_2)).
% 115.51/114.30  0 [] -hBOOL(hAPP_nat_bool(P_1,$f536(P_1,N)))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),hAPP_n1699378549t_bool(ord_at238088361st_nat(zero_zero_nat),N)))|hBOOL(hAPP_nat_bool(P_1,X_2)).
% 115.51/114.30  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_2),N))|hBOOL(hAPP_nat_bool(P_1,M_2))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f537(P_1,N)),hAPP_n1699378549t_bool(ord_at238088361st_nat(zero_zero_nat),N))).
% 115.51/114.30  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_2),N))|hBOOL(hAPP_nat_bool(P_1,M_2))| -hBOOL(hAPP_nat_bool(P_1,$f537(P_1,N))).
% 115.51/114.30  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))|hBOOL(hAPP_f448129468l_bool(nat_nat_set,hAPP_i1948725293t_bool(ord_at875362053st_int(X_1),Y_2))).
% 115.51/114.30  0 [] hAPP_n1699378549t_bool(ord_at4362885an_nat(L),hAPP_nat_nat(suc,U))=hAPP_n1699378549t_bool(ord_at238088361st_nat(L),U).
% 115.51/114.30  0 [] hAPP_nat_nat(fact_fact_nat,N)=big_co1705425894at_nat(cOMBI_nat,hAPP_n1699378549t_bool(ord_at238088361st_nat(one_one_nat),N)).
% 115.51/114.30  0 [] image_nat_nat(hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,plus_plus_nat),K_1),hAPP_n1699378549t_bool(ord_at238088361st_nat(I_1),J))=hAPP_n1699378549t_bool(ord_at238088361st_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_1),K_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J),K_1)).
% 115.51/114.30  0 [] 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)).
% 115.51/114.30  0 [] hAPP_n1699378549t_bool(ord_at238088361st_nat(M),N)=image_int_nat(nat,hAPP_i1948725293t_bool(ord_at875362053st_int(hAPP_nat_int(semiri1621563631at_int,M)),hAPP_nat_int(semiri1621563631at_int,N))).
% 115.51/114.30  0 [] hBOOL(tendst1507391555omplex(cnj,hAPP_complex_complex(cnj,Aa),at_complex(Aa))).
% 115.51/114.30  0 [] hBOOL(tendsto_complex_real(re,hAPP_complex_real(re,Aa),at_complex(Aa))).
% 115.51/114.30  0 [] hBOOL(tendsto_complex_real(im,hAPP_complex_real(im,Aa),at_complex(Aa))).
% 115.51/114.30  0 [] 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).
% 115.51/114.30  0 [] 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).
% 115.51/114.30  0 [] hAPP_nat_nat(F,zero_zero_nat)!=zero_zero_nat|hAPP_f22106695ol_nat(hAPP_f782000547ol_nat(big_co387207925at_nat,F),hAPP_n1699378549t_bool(ord_at238088361st_nat(hAPP_nat_nat(suc,zero_zero_nat)),K_1))=hAPP_f22106695ol_nat(hAPP_f782000547ol_nat(big_co387207925at_nat,F),hAPP_n1699378549t_bool(ord_at238088361st_nat(zero_zero_nat),K_1)).
% 115.51/114.30  0 [] 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)).
% 115.51/114.30  0 [] -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,hAPP_nat_nat(fact_fact_nat,M)),hAPP_nat_nat(fact_fact_nat,N))=big_co1705425894at_nat(cOMBI_nat,hAPP_n1699378549t_bool(ord_at238088361st_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N),one_one_nat)),M)).
% 115.51/114.30  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),N))|hAPP_int_int(fact_fact_int,N)=big_co1548731110nt_int(cOMBI_int,hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),N)).
% 115.51/114.30  0 [] 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))))))).
% 115.51/114.30  0 [] -hBOOL(tendsto_real_real(F,L,at_real(C)))|L=zero_zero_real|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),$f538(F,L,C))).
% 115.51/114.30  0 [] -hBOOL(tendsto_real_real(F,L,at_real(C)))|L=zero_zero_real|X_2=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_2))),$f538(F,L,C)))|hAPP_real_real(F,X_2)!=zero_zero_real.
% 115.51/114.30  0 [] -hBOOL(tendsto_real_real(F,L,at_real(C)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),L))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),$f539(F,L,C))).
% 115.51/114.30  0 [] -hBOOL(tendsto_real_real(F,L,at_real(C)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),L))|X_2=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_2))),$f539(F,L,C)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(F,X_2))).
% 115.51/114.30  0 [] -hBOOL(tendsto_real_real(F,L,at_real(C)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,L),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),$f540(F,L,C))).
% 115.51/114.30  0 [] -hBOOL(tendsto_real_real(F,L,at_real(C)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,L),zero_zero_real))|X_2=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_2))),$f540(F,L,C)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(F,X_2)),zero_zero_real)).
% 115.51/114.30  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f542(T,A,D_1,X_2)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,T),X_2))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,T),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_2),D_1))).
% 115.51/114.30  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f541(T,A,D_1,X_2)),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,T),X_2))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,T),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_2),D_1))).
% 115.51/114.30  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|X_2=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f541(T,A,D_1,X_2)),$f542(T,A,D_1,X_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,T),X_2))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,T),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_2),D_1))).
% 115.51/114.30  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,T),one_one_int)),A))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f544(T,A,D_1,X_2)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_2),T))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_2),D_1)),T)).
% 115.51/114.30  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,T),one_one_int)),A))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f543(T,A,D_1,X_2)),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_2),T))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_2),D_1)),T)).
% 115.51/114.30  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,T),one_one_int)),A))|X_2=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f543(T,A,D_1,X_2)),$f544(T,A,D_1,X_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_2),T))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_2),D_1)),T)).
% 115.51/114.30  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,T),one_one_int)),B))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f546(T,B,D_1,X_2)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,T),X_2))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,T),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_2),D_1))).
% 115.51/114.30  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,T),one_one_int)),B))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f545(T,B,D_1,X_2)),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,T),X_2))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,T),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_2),D_1))).
% 115.51/114.30  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,T),one_one_int)),B))|X_2=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f545(T,B,D_1,X_2)),$f546(T,B,D_1,X_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,T),X_2))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,T),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_2),D_1))).
% 115.51/114.30  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f548(T,B,D_1,X_2)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_2),T))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_2),D_1)),T)).
% 115.51/114.30  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f547(T,B,D_1,X_2)),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_2),T))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_2),D_1)),T)).
% 115.51/114.30  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|X_2=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f547(T,B,D_1,X_2)),$f548(T,B,D_1,X_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_2),T))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_2),D_1)),T)).
% 115.51/114.30  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,T),one_one_int)),B))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f550(T,B,D_1,X_2)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|X_2!=T|hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_2),D_1)=T.
% 115.51/114.30  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,T),one_one_int)),B))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f549(T,B,D_1,X_2)),B))|X_2!=T|hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_2),D_1)=T.
% 115.51/114.30  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,T),one_one_int)),B))|X_2=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f549(T,B,D_1,X_2)),$f550(T,B,D_1,X_2))|X_2!=T|hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_2),D_1)=T.
% 115.51/114.30  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,T),one_one_int)),A))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f552(T,A,D_1,X_2)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|X_2!=T|hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_2),D_1)=T.
% 115.51/114.30  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,T),one_one_int)),A))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f551(T,A,D_1,X_2)),A))|X_2!=T|hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_2),D_1)=T.
% 115.51/114.30  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,T),one_one_int)),A))|X_2=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f551(T,A,D_1,X_2)),$f552(T,A,D_1,X_2))|X_2!=T|hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_2),D_1)=T.
% 115.51/114.30  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f554(T,A,D_1,X_2)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,T),X_2))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,T),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_2),D_1))).
% 115.51/114.30  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f553(T,A,D_1,X_2)),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,T),X_2))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,T),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_2),D_1))).
% 115.51/114.30  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|X_2=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f553(T,A,D_1,X_2)),$f554(T,A,D_1,X_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,T),X_2))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,T),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_2),D_1))).
% 115.51/114.30  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f556(T,B,D_1,X_2)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_2),T))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_2),D_1)),T)).
% 115.51/114.30  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f555(T,B,D_1,X_2)),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_2),T))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_2),D_1)),T)).
% 115.51/114.30  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|X_2=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f555(T,B,D_1,X_2)),$f556(T,B,D_1,X_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_2),T))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_2),D_1)),T)).
% 115.51/114.30  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,T),A))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f558(T,A,D_1,X_2)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_2),T))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_2),D_1)),T)).
% 115.51/114.30  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,T),A))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f557(T,A,D_1,X_2)),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_2),T))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_2),D_1)),T)).
% 115.51/114.30  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,T),A))|X_2=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f557(T,A,D_1,X_2)),$f558(T,A,D_1,X_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_2),T))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_2),D_1)),T)).
% 115.51/114.30  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,T),B))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f560(T,B,D_1,X_2)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,T),X_2))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,T),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_2),D_1))).
% 115.51/114.30  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,T),B))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f559(T,B,D_1,X_2)),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,T),X_2))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,T),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_2),D_1))).
% 115.51/114.30  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,T),B))|X_2=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f559(T,B,D_1,X_2)),$f560(T,B,D_1,X_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,T),X_2))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,T),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_2),D_1))).
% 115.51/114.30  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,T),A))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f562(T,A,D_1,X_2)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|X_2=T|hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_2),D_1)!=T.
% 115.51/114.30  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,T),A))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f561(T,A,D_1,X_2)),A))|X_2=T|hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_2),D_1)!=T.
% 115.51/114.30  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,T),A))|X_2=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f561(T,A,D_1,X_2)),$f562(T,A,D_1,X_2))|X_2=T|hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_2),D_1)!=T.
% 115.51/114.30  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,T),B))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f564(T,B,D_1,X_2)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|X_2=T|hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_2),D_1)!=T.
% 115.51/114.30  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,T),B))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f563(T,B,D_1,X_2)),B))|X_2=T|hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_2),D_1)!=T.
% 115.51/114.30  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,T),B))|X_2=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f563(T,B,D_1,X_2)),$f564(T,B,D_1,X_2))|X_2=T|hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_2),D_1)!=T.
% 115.51/114.31  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D))|hBOOL(hAPP_int_bool(P_1,$f566(P_1,D)))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f566(P_1,D)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f565(P_1,D)),D))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f567(P_1,D)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D))).
% 115.51/114.31  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D))|hBOOL(hAPP_int_bool(P_1,$f566(P_1,D)))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f566(P_1,D)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f565(P_1,D)),D))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_1,$f567(P_1,D))).
% 115.51/114.31  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D))|hBOOL(hAPP_int_bool(P_1,$f566(P_1,D)))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f566(P_1,D)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f565(P_1,D)),D))))|hBOOL(hAPP_int_bool(P_1,$f568(P_1,D)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D)))| -hBOOL(hAPP_int_bool(P_1,X_2)).
% 115.51/114.31  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D))| -hBOOL(hAPP_int_bool(P_1,$f566(P_1,D)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f566(P_1,D)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f565(P_1,D)),D))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f567(P_1,D)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D))).
% 115.51/114.31  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D))| -hBOOL(hAPP_int_bool(P_1,$f566(P_1,D)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f566(P_1,D)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f565(P_1,D)),D))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_1,$f567(P_1,D))).
% 115.51/114.31  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D))| -hBOOL(hAPP_int_bool(P_1,$f566(P_1,D)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f566(P_1,D)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f565(P_1,D)),D))))|hBOOL(hAPP_int_bool(P_1,$f568(P_1,D)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D)))| -hBOOL(hAPP_int_bool(P_1,X_2)).
% 115.51/114.31  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),D_1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f570(T,A,D,D_1,X_2)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_2),T)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_2),D_1)),T))).
% 115.51/114.31  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),D_1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f569(T,A,D,D_1,X_2)),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_2),T)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_2),D_1)),T))).
% 115.51/114.31  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),D_1))|X_2=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f569(T,A,D,D_1,X_2)),$f570(T,A,D,D_1,X_2))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_2),T)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_2),D_1)),T))).
% 115.51/114.31  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),D_1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f572(T,B,D,D_1,X_2)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_2),T)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_2),D_1)),T))).
% 115.51/114.31  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),D_1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f571(T,B,D,D_1,X_2)),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_2),T)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_2),D_1)),T))).
% 115.51/114.31  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),D_1))|X_2=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f571(T,B,D,D_1,X_2)),$f572(T,B,D,D_1,X_2))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_2),T)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_2),D_1)),T))).
% 115.51/114.31  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),D_1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f574(T,B,D,D_1,X_2)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_2),T)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_2),D_1)),T))).
% 115.51/114.31  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),D_1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f573(T,B,D,D_1,X_2)),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_2),T)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_2),D_1)),T))).
% 115.51/114.31  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),D_1))|X_2=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f573(T,B,D,D_1,X_2)),$f574(T,B,D,D_1,X_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_2),T)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_2),D_1)),T))).
% 115.51/114.31  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),D_1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f576(T,A,D,D_1,X_2)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_2),T)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_2),D_1)),T))).
% 115.51/114.31  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),D_1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f575(T,A,D,D_1,X_2)),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_2),T)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_2),D_1)),T))).
% 115.51/114.31  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),D_1))|X_2=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f575(T,A,D,D_1,X_2)),$f576(T,A,D,D_1,X_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_2),T)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_2),D_1)),T))).
% 115.51/114.31  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_3),$f577(X_3,N_3)))|hBOOL(tendsto_nat_real(hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,inverse_inverse_real),X_3),zero_zero_real,se_quentially)).
% 115.51/114.31  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,$f578(X_3)),hAPP_nat_real(X_3,$f577(X_3,N_3))))|hBOOL(tendsto_nat_real(hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,inverse_inverse_real),X_3),zero_zero_real,se_quentially)).
% 115.51/114.31  0 [] hAPP_complex_complex(cnj,hAPP_complex_complex(scaleR1652505878omplex(R_3),X))=hAPP_complex_complex(scaleR1652505878omplex(R_3),hAPP_complex_complex(cnj,X)).
% 115.51/114.31  0 [] hAPP_complex_real(re,hAPP_complex_complex(scaleR1652505878omplex(R_3),X))=hAPP_real_real(scaleR_scaleR_real(R_3),hAPP_complex_real(re,X)).
% 115.51/114.31  0 [] hAPP_complex_real(im,hAPP_complex_complex(scaleR1652505878omplex(R_3),X))=hAPP_real_real(scaleR_scaleR_real(R_3),hAPP_complex_real(im,X)).
% 115.51/114.31  0 [] hAPP_real_real(scaleR_scaleR_real(A_2),X)=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_2),X).
% 115.51/114.31  0 [] hAPP_complex_complex(scaleR1652505878omplex(R_3),hAPP_real_complex(hAPP_r265291036omplex(complex,A_2),B_1))=hAPP_real_complex(hAPP_r265291036omplex(complex,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,R_3),A_2)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,R_3),B_1)).
% 115.51/114.31  0 [] hAPP_complex_real(im,hAPP_complex_complex(scaleR1652505878omplex(R_3),X))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,R_3),hAPP_complex_real(im,X)).
% 115.51/114.31  0 [] hAPP_complex_real(re,hAPP_complex_complex(scaleR1652505878omplex(R_3),X))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,R_3),hAPP_complex_real(re,X)).
% 115.51/114.31  0 [] 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).
% 115.51/114.31  0 [] hAPP_complex_complex(scaleR1652505878omplex(R_3),X)=hAPP_real_complex(hAPP_r265291036omplex(complex,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,R_3),hAPP_complex_real(re,X))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,R_3),hAPP_complex_real(im,X))).
% 115.51/114.31  0 [] -hBOOL(trivial_limit_nat(se_quentially)).
% 115.51/114.31  0 [] 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))).
% 115.51/114.31  0 [] hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A_2),B_1)=zero_zero_int|A_2=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f580(A_2,B_1)),hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A_2),B_1)).
% 115.51/114.31  0 [] hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A_2),B_1)=zero_zero_int|B_1=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f579(A_2,B_1)),hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A_2),B_1)).
% 115.51/114.31  0 [] hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A_2),B_1)=zero_zero_int|hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,$f580(A_2,B_1)),$f579(A_2,B_1))=one_one_int.
% 115.51/114.31  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,hAPP_int_nat(number_number_of_nat,V)),hAPP_nat_nat(suc,N))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(hAPP_b992065680at_nat(if_nat,hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,V)))),zero_zero_nat),hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,hAPP_int_nat(nat,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,V)))),N))).
% 115.51/114.31  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,hAPP_nat_nat(suc,N)),hAPP_int_nat(number_number_of_nat,V))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(hAPP_b992065680at_nat(if_nat,hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,V)))),zero_zero_nat),hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,N),hAPP_int_nat(nat,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,V)))))).
% 115.51/114.31  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,hAPP_nat_nat(suc,M_1)),hAPP_nat_nat(suc,N_1))=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,M_1),N_1)).
% 115.51/114.31  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,N_1),zero_zero_nat)=zero_zero_nat.
% 115.51/114.31  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,zero_zero_nat),N_1)=zero_zero_nat.
% 115.51/114.31  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),I)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_1),I))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,M_1),N_1)),I).
% 115.51/114.31  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,M),hAPP_nat_nat(suc,N))=hAPP_nat_nat(nat_case_nat(zero_zero_nat,hAPP_f1914919701at_nat(hAPP_f1585078997at_nat(cOMBB_nat_nat_nat,suc),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,ord_min_nat),N))),M).
% 115.51/114.31  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,hAPP_nat_nat(suc,N)),M)=hAPP_nat_nat(nat_case_nat(zero_zero_nat,hAPP_f1914919701at_nat(hAPP_f1585078997at_nat(cOMBB_nat_nat_nat,suc),hAPP_nat_fun_nat_nat(ord_min_nat,N))),M).
% 115.51/114.31  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),A_1))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(abs_abs_rat,hAPP_nat_rat(X_3,$f581(Y_3,X_3,A_1)))),A_1))| -hBOOL(vanishes(Y_3))|hBOOL(vanishes(hAPP_f2062659861at_rat(hAPP_f1131305186at_rat(cOMBS_nat_rat_rat,hAPP_f1830834240at_rat(hAPP_f1073644437at_rat(cOMBB_1926947at_nat,times_times_rat),X_3)),Y_3))).
% 115.51/114.31  0 [] -hBOOL(hAPP_int_bool(nat_is_nat,M))| -hBOOL(hAPP_int_bool(nat_is_nat,N))|hAPP_i1948725293t_bool(ord_at875362053st_int(M),N)=image_nat_int(semiri1621563631at_int,hAPP_n1699378549t_bool(ord_at238088361st_nat(hAPP_int_nat(nat,M)),hAPP_int_nat(nat,N))).
% 115.51/114.31  0 [] -hBOOL(hAPP_int_bool(nat_is_nat,X_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1)).
% 115.51/114.31  0 [] hBOOL(hAPP_int_bool(nat_is_nat,X_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1)).
% 115.51/114.31  0 [] hBOOL(hAPP_int_bool(nat_is_nat,hAPP_nat_int(semiri1621563631at_int,Z_1))).
% 115.51/114.31  0 [] -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))).
% 115.51/114.31  0 [] hBOOL(hAPP_int_bool(nat_is_nat,one_one_int)).
% 115.51/114.31  0 [] hBOOL(hAPP_int_bool(nat_is_nat,zero_zero_int)).
% 115.51/114.31  0 [] -hBOOL(hAPP_f448129468l_bool(nat_nat_set,A))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A))|hBOOL(hAPP_int_bool(nat_is_nat,X_1)).
% 115.51/114.31  0 [] -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_1))).
% 115.51/114.31  0 [] -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))).
% 115.51/114.31  0 [] -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))).
% 115.51/114.31  0 [] -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))).
% 115.51/114.31  0 [] -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))).
% 115.51/114.31  0 [] -hBOOL(vanishes(X_3))|hBOOL(vanishes(hAPP_f2062659861at_rat(hAPP_f1082758869at_rat(cOMBB_rat_rat_nat,uminus_uminus_rat),X_3))).
% 115.51/114.31  0 [] -hBOOL(vanishes(cOMBK_rat_nat(C)))|C=zero_zero_rat.
% 115.51/114.31  0 [] hBOOL(vanishes(cOMBK_rat_nat(C)))|C!=zero_zero_rat.
% 115.51/114.31  0 [] -hBOOL(vanishes(X_3))| -hBOOL(vanishes(Y_3))|hBOOL(vanishes(hAPP_f2062659861at_rat(hAPP_f1131305186at_rat(cOMBS_nat_rat_rat,hAPP_f1830834240at_rat(hAPP_f1073644437at_rat(cOMBB_1926947at_nat,minus_minus_rat),X_3)),Y_3))).
% 115.51/114.31  0 [] -hBOOL(vanishes(X_3))| -hBOOL(vanishes(Y_3))|hBOOL(vanishes(hAPP_f2062659861at_rat(hAPP_f1131305186at_rat(cOMBS_nat_rat_rat,hAPP_f1830834240at_rat(hAPP_f1073644437at_rat(cOMBB_1926947at_nat,plus_plus_rat),X_3)),Y_3))).
% 115.51/114.31  0 [] -hBOOL(hAPP_int_bool(nat_is_nat,X_1))|hBOOL(hAPP_f448129468l_bool(nat_nat_set,hAPP_i1948725293t_bool(ord_at875362053st_int(X_1),Y_2))).
% 115.51/114.31  0 [] hBOOL(hAPP_int_bool(nat_is_nat,hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,hAPP_int_int(bit1,pls))))).
% 115.51/114.31  0 [] -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))).
% 115.51/114.31  0 [] -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))).
% 115.51/114.31  0 [] -hBOOL(hAPP_int_bool(nat_is_nat,X_1))| -hBOOL(hAPP_f448129468l_bool(nat_nat_set,A))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_int_nat(nat,X_1)),image_int_nat(nat,A))).
% 115.51/114.31  0 [] -hBOOL(hAPP_int_bool(nat_is_nat,X_1))| -hBOOL(hAPP_f448129468l_bool(nat_nat_set,A))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_int_nat(nat,X_1)),image_int_nat(nat,A))).
% 115.51/114.31  0 [] hBOOL(hAPP_int_bool(nat_is_nat,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))).
% 115.51/114.31  0 [] -hBOOL(vanishes(X_3))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),R_2))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,$f582(R_2,X_3)),N_2))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(abs_abs_rat,hAPP_nat_rat(X_3,N_2))),R_2)).
% 115.51/114.31  0 [] -hBOOL(vanishes(X_3))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),R_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,$f583(X_3,R_1)),N_2))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(abs_abs_rat,hAPP_nat_rat(X_3,N_2))),R_1)).
% 115.51/114.31  0 [] hBOOL(vanishes(X_3))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),$f585(X_3))).
% 115.51/114.31  0 [] hBOOL(vanishes(X_3))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),$f584(X_3,K))).
% 115.51/114.31  0 [] hBOOL(vanishes(X_3))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(abs_abs_rat,hAPP_nat_rat(X_3,$f584(X_3,K)))),$f585(X_3))).
% 115.51/114.31  0 [] hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),$f587(X_3)))|hBOOL(vanishes(X_3)).
% 115.51/114.31  0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),$f586(X_3,K)))|hBOOL(vanishes(X_3)).
% 115.51/114.31  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(abs_abs_rat,hAPP_nat_rat(X_3,$f586(X_3,K)))),$f587(X_3)))|hBOOL(vanishes(X_3)).
% 115.51/114.31  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcongm(M),X_2),Xa))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(X_2),Xa),M)).
% 115.51/114.31  0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcongm(M),X_2),Xa))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(X_2),Xa),M)).
% 115.51/114.31  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z),$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),A))|$f589(A,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xb),Xa)|hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f592(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f594(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1))).
% 115.51/114.31  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z),$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),A))|$f589(A,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xb),Xa)|hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f592(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f593(A,P_2,P_1,D_1)),A)).
% 115.51/114.31  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z),$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),A))|$f589(A,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xb),Xa)|hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f592(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f593(A,P_2,P_1,D_1)),$f594(A,P_2,P_1,D_1)))).
% 115.51/114.31  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z),$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),A))|$f589(A,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xb),Xa)|hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f592(A,P_2,P_1,D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f594(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1))).
% 115.51/114.31  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z),$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),A))|$f589(A,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xb),Xa)|hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f592(A,P_2,P_1,D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f593(A,P_2,P_1,D_1)),A)).
% 115.51/114.31  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z),$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),A))|$f589(A,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xb),Xa)|hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f592(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f593(A,P_2,P_1,D_1)),$f594(A,P_2,P_1,D_1)))).
% 115.51/114.31  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z),$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),A))|$f589(A,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xb),Xa)|hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))|hBOOL(hAPP_int_bool(P_1,$f595(A,P_2,P_1,D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_int_bool(P_2,X_2)).
% 115.51/114.31  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z),$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),A))|$f589(A,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xb),Xa)|hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))|hBOOL(hAPP_int_bool(P_1,$f595(A,P_2,P_1,D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X16),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X17),A))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X17),X16))).
% 115.51/114.31  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z),$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),A))|$f589(A,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xb),Xa)| -hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f592(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f594(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1))).
% 115.51/114.31  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z),$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),A))|$f589(A,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xb),Xa)| -hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f592(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f593(A,P_2,P_1,D_1)),A)).
% 115.51/114.31  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z),$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),A))|$f589(A,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xb),Xa)| -hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f592(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f593(A,P_2,P_1,D_1)),$f594(A,P_2,P_1,D_1)))).
% 115.51/114.31  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z),$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),A))|$f589(A,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xb),Xa)| -hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f592(A,P_2,P_1,D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f594(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1))).
% 115.51/114.31  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z),$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),A))|$f589(A,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xb),Xa)| -hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f592(A,P_2,P_1,D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f593(A,P_2,P_1,D_1)),A)).
% 115.51/114.31  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z),$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),A))|$f589(A,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xb),Xa)| -hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f592(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f593(A,P_2,P_1,D_1)),$f594(A,P_2,P_1,D_1)))).
% 115.51/114.31  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z),$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),A))|$f589(A,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xb),Xa)| -hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))|hBOOL(hAPP_int_bool(P_1,$f595(A,P_2,P_1,D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_int_bool(P_2,X_2)).
% 115.51/114.32  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z),$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),A))|$f589(A,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xb),Xa)| -hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))|hBOOL(hAPP_int_bool(P_1,$f595(A,P_2,P_1,D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X16),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X17),A))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X17),X16))).
% 115.51/114.32  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z),$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_1,$f589(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f592(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f594(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1))).
% 115.51/114.32  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z),$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_1,$f589(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f592(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f593(A,P_2,P_1,D_1)),A)).
% 115.51/114.32  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z),$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_1,$f589(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f592(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f593(A,P_2,P_1,D_1)),$f594(A,P_2,P_1,D_1)))).
% 115.51/114.32  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z),$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_1,$f589(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f592(A,P_2,P_1,D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f594(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1))).
% 115.51/114.32  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z),$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_1,$f589(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f592(A,P_2,P_1,D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f593(A,P_2,P_1,D_1)),A)).
% 115.51/114.32  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z),$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_1,$f589(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f592(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f593(A,P_2,P_1,D_1)),$f594(A,P_2,P_1,D_1)))).
% 115.51/114.32  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z),$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_1,$f589(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))|hBOOL(hAPP_int_bool(P_1,$f595(A,P_2,P_1,D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_int_bool(P_2,X_2)).
% 115.51/114.32  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z),$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_1,$f589(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))|hBOOL(hAPP_int_bool(P_1,$f595(A,P_2,P_1,D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X16),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X17),A))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X17),X16))).
% 115.51/114.32  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z),$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_1,$f589(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f592(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f594(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1))).
% 115.51/114.32  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z),$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_1,$f589(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f592(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f593(A,P_2,P_1,D_1)),A)).
% 115.51/114.32  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z),$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_1,$f589(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f592(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f593(A,P_2,P_1,D_1)),$f594(A,P_2,P_1,D_1)))).
% 115.51/114.32  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z),$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_1,$f589(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f592(A,P_2,P_1,D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f594(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1))).
% 115.51/114.32  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z),$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_1,$f589(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f592(A,P_2,P_1,D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f593(A,P_2,P_1,D_1)),A)).
% 115.51/114.32  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z),$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_1,$f589(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f592(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f593(A,P_2,P_1,D_1)),$f594(A,P_2,P_1,D_1)))).
% 115.51/114.32  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z),$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_1,$f589(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))|hBOOL(hAPP_int_bool(P_1,$f595(A,P_2,P_1,D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_int_bool(P_2,X_2)).
% 115.51/114.32  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z),$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_1,$f589(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))|hBOOL(hAPP_int_bool(P_1,$f595(A,P_2,P_1,D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X16),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X17),A))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X17),X16))).
% 115.51/114.32  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z),$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f589(A,P_2,P_1,D_1)),D_1)))|hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f592(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f594(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1))).
% 115.51/114.32  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z),$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f589(A,P_2,P_1,D_1)),D_1)))|hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f592(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f593(A,P_2,P_1,D_1)),A)).
% 115.51/114.32  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z),$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f589(A,P_2,P_1,D_1)),D_1)))|hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f592(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f593(A,P_2,P_1,D_1)),$f594(A,P_2,P_1,D_1)))).
% 115.51/114.32  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z),$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f589(A,P_2,P_1,D_1)),D_1)))|hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f592(A,P_2,P_1,D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f594(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1))).
% 115.51/114.32  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z),$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f589(A,P_2,P_1,D_1)),D_1)))|hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f592(A,P_2,P_1,D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f593(A,P_2,P_1,D_1)),A)).
% 115.51/114.32  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z),$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f589(A,P_2,P_1,D_1)),D_1)))|hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f592(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f593(A,P_2,P_1,D_1)),$f594(A,P_2,P_1,D_1)))).
% 115.51/114.32  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z),$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f589(A,P_2,P_1,D_1)),D_1)))|hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))|hBOOL(hAPP_int_bool(P_1,$f595(A,P_2,P_1,D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_int_bool(P_2,X_2)).
% 115.51/114.32  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z),$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f589(A,P_2,P_1,D_1)),D_1)))|hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))|hBOOL(hAPP_int_bool(P_1,$f595(A,P_2,P_1,D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X16),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X17),A))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X17),X16))).
% 115.51/114.32  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z),$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f589(A,P_2,P_1,D_1)),D_1)))| -hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f592(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f594(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1))).
% 115.51/114.32  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z),$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f589(A,P_2,P_1,D_1)),D_1)))| -hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f592(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f593(A,P_2,P_1,D_1)),A)).
% 115.51/114.32  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z),$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f589(A,P_2,P_1,D_1)),D_1)))| -hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f592(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f593(A,P_2,P_1,D_1)),$f594(A,P_2,P_1,D_1)))).
% 115.51/114.32  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z),$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f589(A,P_2,P_1,D_1)),D_1)))| -hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f592(A,P_2,P_1,D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f594(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1))).
% 115.51/114.32  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z),$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f589(A,P_2,P_1,D_1)),D_1)))| -hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f592(A,P_2,P_1,D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f593(A,P_2,P_1,D_1)),A)).
% 115.51/114.32  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z),$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f589(A,P_2,P_1,D_1)),D_1)))| -hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f592(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f593(A,P_2,P_1,D_1)),$f594(A,P_2,P_1,D_1)))).
% 115.51/114.32  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z),$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f589(A,P_2,P_1,D_1)),D_1)))| -hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))|hBOOL(hAPP_int_bool(P_1,$f595(A,P_2,P_1,D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_int_bool(P_2,X_2)).
% 115.51/114.32  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z),$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f589(A,P_2,P_1,D_1)),D_1)))| -hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))|hBOOL(hAPP_int_bool(P_1,$f595(A,P_2,P_1,D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X16),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X17),A))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X17),X16))).
% 115.51/114.32  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),A))|$f589(A,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xb),Xa)|hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f592(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f594(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1))).
% 115.51/114.32  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),A))|$f589(A,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xb),Xa)|hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f592(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f593(A,P_2,P_1,D_1)),A)).
% 115.51/114.32  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),A))|$f589(A,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xb),Xa)|hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f592(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f593(A,P_2,P_1,D_1)),$f594(A,P_2,P_1,D_1)))).
% 115.51/114.32  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),A))|$f589(A,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xb),Xa)|hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f592(A,P_2,P_1,D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f594(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1))).
% 115.51/114.32  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),A))|$f589(A,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xb),Xa)|hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f592(A,P_2,P_1,D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f593(A,P_2,P_1,D_1)),A)).
% 115.51/114.33  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),A))|$f589(A,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xb),Xa)|hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f592(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f593(A,P_2,P_1,D_1)),$f594(A,P_2,P_1,D_1)))).
% 115.51/114.33  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),A))|$f589(A,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xb),Xa)|hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))|hBOOL(hAPP_int_bool(P_1,$f595(A,P_2,P_1,D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_int_bool(P_2,X_2)).
% 115.51/114.33  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),A))|$f589(A,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xb),Xa)|hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))|hBOOL(hAPP_int_bool(P_1,$f595(A,P_2,P_1,D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X16),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X17),A))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X17),X16))).
% 115.51/114.33  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),A))|$f589(A,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xb),Xa)| -hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f592(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f594(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1))).
% 115.51/114.33  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),A))|$f589(A,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xb),Xa)| -hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f592(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f593(A,P_2,P_1,D_1)),A)).
% 115.51/114.33  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),A))|$f589(A,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xb),Xa)| -hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f592(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f593(A,P_2,P_1,D_1)),$f594(A,P_2,P_1,D_1)))).
% 115.51/114.33  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),A))|$f589(A,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xb),Xa)| -hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f592(A,P_2,P_1,D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f594(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1))).
% 115.51/114.33  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),A))|$f589(A,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xb),Xa)| -hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f592(A,P_2,P_1,D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f593(A,P_2,P_1,D_1)),A)).
% 115.51/114.33  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),A))|$f589(A,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xb),Xa)| -hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f592(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f593(A,P_2,P_1,D_1)),$f594(A,P_2,P_1,D_1)))).
% 115.51/114.33  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),A))|$f589(A,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xb),Xa)| -hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))|hBOOL(hAPP_int_bool(P_1,$f595(A,P_2,P_1,D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_int_bool(P_2,X_2)).
% 115.51/114.33  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),A))|$f589(A,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xb),Xa)| -hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))|hBOOL(hAPP_int_bool(P_1,$f595(A,P_2,P_1,D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X16),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X17),A))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X17),X16))).
% 115.51/114.33  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_1,$f589(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f592(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f594(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1))).
% 115.51/114.33  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_1,$f589(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f592(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f593(A,P_2,P_1,D_1)),A)).
% 115.51/114.33  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_1,$f589(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f592(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f593(A,P_2,P_1,D_1)),$f594(A,P_2,P_1,D_1)))).
% 115.51/114.33  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_1,$f589(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f592(A,P_2,P_1,D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f594(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1))).
% 115.51/114.33  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_1,$f589(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f592(A,P_2,P_1,D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f593(A,P_2,P_1,D_1)),A)).
% 115.51/114.33  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_1,$f589(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f592(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f593(A,P_2,P_1,D_1)),$f594(A,P_2,P_1,D_1)))).
% 115.51/114.33  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_1,$f589(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))|hBOOL(hAPP_int_bool(P_1,$f595(A,P_2,P_1,D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_int_bool(P_2,X_2)).
% 115.51/114.33  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_1,$f589(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))|hBOOL(hAPP_int_bool(P_1,$f595(A,P_2,P_1,D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X16),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X17),A))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X17),X16))).
% 115.51/114.33  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_1,$f589(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f592(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f594(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1))).
% 115.51/114.33  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_1,$f589(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f592(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f593(A,P_2,P_1,D_1)),A)).
% 115.51/114.33  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_1,$f589(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f592(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f593(A,P_2,P_1,D_1)),$f594(A,P_2,P_1,D_1)))).
% 115.51/114.33  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_1,$f589(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f592(A,P_2,P_1,D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f594(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1))).
% 115.51/114.33  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_1,$f589(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f592(A,P_2,P_1,D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f593(A,P_2,P_1,D_1)),A)).
% 115.51/114.33  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_1,$f589(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f592(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f593(A,P_2,P_1,D_1)),$f594(A,P_2,P_1,D_1)))).
% 115.51/114.33  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_1,$f589(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))|hBOOL(hAPP_int_bool(P_1,$f595(A,P_2,P_1,D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_int_bool(P_2,X_2)).
% 115.51/114.33  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_1,$f589(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))|hBOOL(hAPP_int_bool(P_1,$f595(A,P_2,P_1,D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X16),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X17),A))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X17),X16))).
% 115.51/114.33  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f589(A,P_2,P_1,D_1)),D_1)))|hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f592(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f594(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1))).
% 115.51/114.33  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f589(A,P_2,P_1,D_1)),D_1)))|hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f592(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f593(A,P_2,P_1,D_1)),A)).
% 115.51/114.33  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f589(A,P_2,P_1,D_1)),D_1)))|hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f592(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f593(A,P_2,P_1,D_1)),$f594(A,P_2,P_1,D_1)))).
% 115.51/114.34  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f589(A,P_2,P_1,D_1)),D_1)))|hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f592(A,P_2,P_1,D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f594(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1))).
% 115.51/114.34  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f589(A,P_2,P_1,D_1)),D_1)))|hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f592(A,P_2,P_1,D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f593(A,P_2,P_1,D_1)),A)).
% 115.51/114.34  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f589(A,P_2,P_1,D_1)),D_1)))|hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f592(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f593(A,P_2,P_1,D_1)),$f594(A,P_2,P_1,D_1)))).
% 115.51/114.34  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f589(A,P_2,P_1,D_1)),D_1)))|hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))|hBOOL(hAPP_int_bool(P_1,$f595(A,P_2,P_1,D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_int_bool(P_2,X_2)).
% 115.51/114.34  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f589(A,P_2,P_1,D_1)),D_1)))|hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))|hBOOL(hAPP_int_bool(P_1,$f595(A,P_2,P_1,D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X16),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X17),A))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X17),X16))).
% 115.51/114.34  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f589(A,P_2,P_1,D_1)),D_1)))| -hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f592(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f594(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1))).
% 115.51/114.34  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f589(A,P_2,P_1,D_1)),D_1)))| -hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f592(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f593(A,P_2,P_1,D_1)),A)).
% 115.51/114.34  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f589(A,P_2,P_1,D_1)),D_1)))| -hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f592(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f593(A,P_2,P_1,D_1)),$f594(A,P_2,P_1,D_1)))).
% 115.51/114.34  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f589(A,P_2,P_1,D_1)),D_1)))| -hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f592(A,P_2,P_1,D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f594(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1))).
% 115.51/114.34  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f589(A,P_2,P_1,D_1)),D_1)))| -hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f592(A,P_2,P_1,D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f593(A,P_2,P_1,D_1)),A)).
% 115.51/114.34  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f589(A,P_2,P_1,D_1)),D_1)))| -hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f592(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f593(A,P_2,P_1,D_1)),$f594(A,P_2,P_1,D_1)))).
% 115.51/114.34  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f589(A,P_2,P_1,D_1)),D_1)))| -hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))|hBOOL(hAPP_int_bool(P_1,$f595(A,P_2,P_1,D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_int_bool(P_2,X_2)).
% 115.51/114.34  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f589(A,P_2,P_1,D_1)),D_1)))| -hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))|hBOOL(hAPP_int_bool(P_1,$f595(A,P_2,P_1,D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X16),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X17),A))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X17),X16))).
% 115.51/114.34  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),A))|$f589(A,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xb),Xa)|hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f592(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f594(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1))).
% 115.51/114.34  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),A))|$f589(A,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xb),Xa)|hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f592(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f593(A,P_2,P_1,D_1)),A)).
% 115.51/114.34  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),A))|$f589(A,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xb),Xa)|hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f592(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f593(A,P_2,P_1,D_1)),$f594(A,P_2,P_1,D_1)))).
% 115.51/114.34  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),A))|$f589(A,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xb),Xa)|hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f592(A,P_2,P_1,D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f594(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1))).
% 115.51/114.34  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),A))|$f589(A,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xb),Xa)|hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f592(A,P_2,P_1,D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f593(A,P_2,P_1,D_1)),A)).
% 115.51/114.34  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),A))|$f589(A,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xb),Xa)|hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f592(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f593(A,P_2,P_1,D_1)),$f594(A,P_2,P_1,D_1)))).
% 115.51/114.34  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),A))|$f589(A,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xb),Xa)|hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))|hBOOL(hAPP_int_bool(P_1,$f595(A,P_2,P_1,D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_int_bool(P_2,X_2)).
% 115.51/114.34  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),A))|$f589(A,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xb),Xa)|hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))|hBOOL(hAPP_int_bool(P_1,$f595(A,P_2,P_1,D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X16),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X17),A))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X17),X16))).
% 115.51/114.34  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),A))|$f589(A,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xb),Xa)| -hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f592(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f594(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1))).
% 115.51/114.34  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),A))|$f589(A,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xb),Xa)| -hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f592(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f593(A,P_2,P_1,D_1)),A)).
% 115.51/114.34  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),A))|$f589(A,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xb),Xa)| -hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f592(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f593(A,P_2,P_1,D_1)),$f594(A,P_2,P_1,D_1)))).
% 115.51/114.34  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),A))|$f589(A,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xb),Xa)| -hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f592(A,P_2,P_1,D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f594(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1))).
% 115.51/114.34  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),A))|$f589(A,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xb),Xa)| -hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f592(A,P_2,P_1,D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f593(A,P_2,P_1,D_1)),A)).
% 115.51/114.34  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),A))|$f589(A,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xb),Xa)| -hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f592(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f593(A,P_2,P_1,D_1)),$f594(A,P_2,P_1,D_1)))).
% 115.51/114.34  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),A))|$f589(A,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xb),Xa)| -hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))|hBOOL(hAPP_int_bool(P_1,$f595(A,P_2,P_1,D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_int_bool(P_2,X_2)).
% 115.51/114.34  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),A))|$f589(A,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xb),Xa)| -hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))|hBOOL(hAPP_int_bool(P_1,$f595(A,P_2,P_1,D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X16),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X17),A))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X17),X16))).
% 115.51/114.34  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_1,$f589(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f592(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f594(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1))).
% 115.51/114.35  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_1,$f589(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f592(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f593(A,P_2,P_1,D_1)),A)).
% 115.51/114.35  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_1,$f589(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f592(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f593(A,P_2,P_1,D_1)),$f594(A,P_2,P_1,D_1)))).
% 115.51/114.35  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_1,$f589(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f592(A,P_2,P_1,D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f594(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1))).
% 115.51/114.35  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_1,$f589(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f592(A,P_2,P_1,D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f593(A,P_2,P_1,D_1)),A)).
% 115.51/114.35  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_1,$f589(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f592(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f593(A,P_2,P_1,D_1)),$f594(A,P_2,P_1,D_1)))).
% 115.60/114.35  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_1,$f589(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))|hBOOL(hAPP_int_bool(P_1,$f595(A,P_2,P_1,D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_int_bool(P_2,X_2)).
% 115.60/114.35  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_1,$f589(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))|hBOOL(hAPP_int_bool(P_1,$f595(A,P_2,P_1,D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X16),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X17),A))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X17),X16))).
% 115.60/114.35  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_1,$f589(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f592(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f594(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1))).
% 115.60/114.35  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_1,$f589(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f592(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f593(A,P_2,P_1,D_1)),A)).
% 115.60/114.35  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_1,$f589(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f592(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f593(A,P_2,P_1,D_1)),$f594(A,P_2,P_1,D_1)))).
% 115.60/114.35  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_1,$f589(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f592(A,P_2,P_1,D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f594(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1))).
% 115.60/114.35  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_1,$f589(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f592(A,P_2,P_1,D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f593(A,P_2,P_1,D_1)),A)).
% 115.60/114.35  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_1,$f589(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f592(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f593(A,P_2,P_1,D_1)),$f594(A,P_2,P_1,D_1)))).
% 115.60/114.35  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_1,$f589(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))|hBOOL(hAPP_int_bool(P_1,$f595(A,P_2,P_1,D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_int_bool(P_2,X_2)).
% 115.60/114.35  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_1,$f589(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))|hBOOL(hAPP_int_bool(P_1,$f595(A,P_2,P_1,D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X16),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X17),A))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X17),X16))).
% 115.60/114.35  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f589(A,P_2,P_1,D_1)),D_1)))|hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f592(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f594(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1))).
% 115.60/114.35  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f589(A,P_2,P_1,D_1)),D_1)))|hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f592(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f593(A,P_2,P_1,D_1)),A)).
% 115.60/114.35  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f589(A,P_2,P_1,D_1)),D_1)))|hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f592(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f593(A,P_2,P_1,D_1)),$f594(A,P_2,P_1,D_1)))).
% 115.60/114.35  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f589(A,P_2,P_1,D_1)),D_1)))|hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f592(A,P_2,P_1,D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f594(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1))).
% 115.60/114.35  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f589(A,P_2,P_1,D_1)),D_1)))|hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f592(A,P_2,P_1,D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f593(A,P_2,P_1,D_1)),A)).
% 115.60/114.35  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f589(A,P_2,P_1,D_1)),D_1)))|hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f592(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f593(A,P_2,P_1,D_1)),$f594(A,P_2,P_1,D_1)))).
% 115.60/114.35  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f589(A,P_2,P_1,D_1)),D_1)))|hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))|hBOOL(hAPP_int_bool(P_1,$f595(A,P_2,P_1,D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_int_bool(P_2,X_2)).
% 115.60/114.35  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f589(A,P_2,P_1,D_1)),D_1)))|hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))|hBOOL(hAPP_int_bool(P_1,$f595(A,P_2,P_1,D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X16),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X17),A))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X17),X16))).
% 115.60/114.35  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f589(A,P_2,P_1,D_1)),D_1)))| -hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f592(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f594(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1))).
% 115.60/114.35  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f589(A,P_2,P_1,D_1)),D_1)))| -hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f592(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f593(A,P_2,P_1,D_1)),A)).
% 115.60/114.35  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f589(A,P_2,P_1,D_1)),D_1)))| -hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f592(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f593(A,P_2,P_1,D_1)),$f594(A,P_2,P_1,D_1)))).
% 115.60/114.35  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f589(A,P_2,P_1,D_1)),D_1)))| -hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f592(A,P_2,P_1,D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f594(A,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1))).
% 115.60/114.35  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f589(A,P_2,P_1,D_1)),D_1)))| -hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f592(A,P_2,P_1,D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f593(A,P_2,P_1,D_1)),A)).
% 115.60/114.35  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f589(A,P_2,P_1,D_1)),D_1)))| -hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f592(A,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f593(A,P_2,P_1,D_1)),$f594(A,P_2,P_1,D_1)))).
% 115.60/114.35  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f589(A,P_2,P_1,D_1)),D_1)))| -hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))|hBOOL(hAPP_int_bool(P_1,$f595(A,P_2,P_1,D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_int_bool(P_2,X_2)).
% 115.60/114.35  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f588(A,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f589(A,P_2,P_1,D_1)),D_1)))| -hBOOL(hAPP_int_bool(P_2,$f591(A,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f591(A,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f590(A,P_2,P_1,D_1)),D_1))))|hBOOL(hAPP_int_bool(P_1,$f595(A,P_2,P_1,D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X16),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X17),A))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X17),X16))).
% 115.60/114.35  0 [] -hBOOL(hAPP_f1469637905l_bool(hAPP_P1681069257l_bool(member308914164t_bool,hAPP_f538843494t_bool(hAPP_f1418982953t_bool(produc713279741t_bool,A),B)),bijR_int_int(zcongm(M))))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(big_co1548731110nt_int(cOMBI_int,A)),big_co1548731110nt_int(cOMBI_int,B)),M)).
% 115.60/114.35  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f596(B,P_2,P_1,D_1,Z)),Z))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),B))|$f597(B,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Xb),Xa)|hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f600(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f602(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1))).
% 115.60/114.35  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f596(B,P_2,P_1,D_1,Z)),Z))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),B))|$f597(B,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Xb),Xa)|hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f600(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f601(B,P_2,P_1,D_1)),B)).
% 115.60/114.35  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f596(B,P_2,P_1,D_1,Z)),Z))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),B))|$f597(B,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Xb),Xa)|hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f600(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f601(B,P_2,P_1,D_1)),$f602(B,P_2,P_1,D_1)))).
% 115.60/114.35  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f596(B,P_2,P_1,D_1,Z)),Z))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),B))|$f597(B,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Xb),Xa)|hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f600(B,P_2,P_1,D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f602(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1))).
% 115.60/114.35  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f596(B,P_2,P_1,D_1,Z)),Z))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),B))|$f597(B,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Xb),Xa)|hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f600(B,P_2,P_1,D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f601(B,P_2,P_1,D_1)),B)).
% 115.60/114.36  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f596(B,P_2,P_1,D_1,Z)),Z))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),B))|$f597(B,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Xb),Xa)|hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f600(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f601(B,P_2,P_1,D_1)),$f602(B,P_2,P_1,D_1)))).
% 115.60/114.36  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f596(B,P_2,P_1,D_1,Z)),Z))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),B))|$f597(B,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Xb),Xa)|hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))|hBOOL(hAPP_int_bool(P_1,$f603(B,P_2,P_1,D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_int_bool(P_2,X_2)).
% 115.60/114.36  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f596(B,P_2,P_1,D_1,Z)),Z))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),B))|$f597(B,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Xb),Xa)|hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))|hBOOL(hAPP_int_bool(P_1,$f603(B,P_2,P_1,D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X18),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X19),B))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X19),X18))).
% 115.60/114.36  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f596(B,P_2,P_1,D_1,Z)),Z))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),B))|$f597(B,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Xb),Xa)| -hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f600(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f602(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1))).
% 115.60/114.36  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f596(B,P_2,P_1,D_1,Z)),Z))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),B))|$f597(B,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Xb),Xa)| -hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f600(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f601(B,P_2,P_1,D_1)),B)).
% 115.60/114.36  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f596(B,P_2,P_1,D_1,Z)),Z))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),B))|$f597(B,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Xb),Xa)| -hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f600(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f601(B,P_2,P_1,D_1)),$f602(B,P_2,P_1,D_1)))).
% 115.60/114.36  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f596(B,P_2,P_1,D_1,Z)),Z))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),B))|$f597(B,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Xb),Xa)| -hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f600(B,P_2,P_1,D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f602(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1))).
% 115.60/114.36  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f596(B,P_2,P_1,D_1,Z)),Z))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),B))|$f597(B,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Xb),Xa)| -hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f600(B,P_2,P_1,D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f601(B,P_2,P_1,D_1)),B)).
% 115.60/114.36  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f596(B,P_2,P_1,D_1,Z)),Z))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),B))|$f597(B,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Xb),Xa)| -hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f600(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f601(B,P_2,P_1,D_1)),$f602(B,P_2,P_1,D_1)))).
% 115.60/114.36  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f596(B,P_2,P_1,D_1,Z)),Z))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),B))|$f597(B,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Xb),Xa)| -hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))|hBOOL(hAPP_int_bool(P_1,$f603(B,P_2,P_1,D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_int_bool(P_2,X_2)).
% 115.60/114.36  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f596(B,P_2,P_1,D_1,Z)),Z))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),B))|$f597(B,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Xb),Xa)| -hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))|hBOOL(hAPP_int_bool(P_1,$f603(B,P_2,P_1,D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X18),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X19),B))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X19),X18))).
% 115.60/114.36  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f596(B,P_2,P_1,D_1,Z)),Z))|hBOOL(hAPP_int_bool(P_1,$f597(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f600(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f602(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1))).
% 115.60/114.36  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f596(B,P_2,P_1,D_1,Z)),Z))|hBOOL(hAPP_int_bool(P_1,$f597(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f600(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f601(B,P_2,P_1,D_1)),B)).
% 115.60/114.36  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f596(B,P_2,P_1,D_1,Z)),Z))|hBOOL(hAPP_int_bool(P_1,$f597(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f600(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f601(B,P_2,P_1,D_1)),$f602(B,P_2,P_1,D_1)))).
% 115.60/114.36  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f596(B,P_2,P_1,D_1,Z)),Z))|hBOOL(hAPP_int_bool(P_1,$f597(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f600(B,P_2,P_1,D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f602(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1))).
% 115.60/114.36  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f596(B,P_2,P_1,D_1,Z)),Z))|hBOOL(hAPP_int_bool(P_1,$f597(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f600(B,P_2,P_1,D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f601(B,P_2,P_1,D_1)),B)).
% 115.60/114.36  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f596(B,P_2,P_1,D_1,Z)),Z))|hBOOL(hAPP_int_bool(P_1,$f597(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f600(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f601(B,P_2,P_1,D_1)),$f602(B,P_2,P_1,D_1)))).
% 115.60/114.36  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f596(B,P_2,P_1,D_1,Z)),Z))|hBOOL(hAPP_int_bool(P_1,$f597(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))|hBOOL(hAPP_int_bool(P_1,$f603(B,P_2,P_1,D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_int_bool(P_2,X_2)).
% 115.60/114.36  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f596(B,P_2,P_1,D_1,Z)),Z))|hBOOL(hAPP_int_bool(P_1,$f597(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))|hBOOL(hAPP_int_bool(P_1,$f603(B,P_2,P_1,D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X18),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X19),B))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X19),X18))).
% 115.60/114.36  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f596(B,P_2,P_1,D_1,Z)),Z))|hBOOL(hAPP_int_bool(P_1,$f597(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f600(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f602(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1))).
% 115.60/114.36  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f596(B,P_2,P_1,D_1,Z)),Z))|hBOOL(hAPP_int_bool(P_1,$f597(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f600(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f601(B,P_2,P_1,D_1)),B)).
% 115.60/114.36  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f596(B,P_2,P_1,D_1,Z)),Z))|hBOOL(hAPP_int_bool(P_1,$f597(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f600(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f601(B,P_2,P_1,D_1)),$f602(B,P_2,P_1,D_1)))).
% 115.60/114.36  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f596(B,P_2,P_1,D_1,Z)),Z))|hBOOL(hAPP_int_bool(P_1,$f597(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f600(B,P_2,P_1,D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f602(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1))).
% 115.60/114.36  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f596(B,P_2,P_1,D_1,Z)),Z))|hBOOL(hAPP_int_bool(P_1,$f597(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f600(B,P_2,P_1,D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f601(B,P_2,P_1,D_1)),B)).
% 115.60/114.36  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f596(B,P_2,P_1,D_1,Z)),Z))|hBOOL(hAPP_int_bool(P_1,$f597(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f600(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f601(B,P_2,P_1,D_1)),$f602(B,P_2,P_1,D_1)))).
% 115.60/114.36  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f596(B,P_2,P_1,D_1,Z)),Z))|hBOOL(hAPP_int_bool(P_1,$f597(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))|hBOOL(hAPP_int_bool(P_1,$f603(B,P_2,P_1,D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_int_bool(P_2,X_2)).
% 115.60/114.36  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f596(B,P_2,P_1,D_1,Z)),Z))|hBOOL(hAPP_int_bool(P_1,$f597(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))|hBOOL(hAPP_int_bool(P_1,$f603(B,P_2,P_1,D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X18),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X19),B))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X19),X18))).
% 115.60/114.36  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f596(B,P_2,P_1,D_1,Z)),Z))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f597(B,P_2,P_1,D_1)),D_1)))|hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f600(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f602(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1))).
% 115.60/114.36  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f596(B,P_2,P_1,D_1,Z)),Z))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f597(B,P_2,P_1,D_1)),D_1)))|hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f600(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f601(B,P_2,P_1,D_1)),B)).
% 115.60/114.36  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f596(B,P_2,P_1,D_1,Z)),Z))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f597(B,P_2,P_1,D_1)),D_1)))|hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f600(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f601(B,P_2,P_1,D_1)),$f602(B,P_2,P_1,D_1)))).
% 115.60/114.36  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f596(B,P_2,P_1,D_1,Z)),Z))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f597(B,P_2,P_1,D_1)),D_1)))|hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f600(B,P_2,P_1,D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f602(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1))).
% 115.60/114.36  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f596(B,P_2,P_1,D_1,Z)),Z))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f597(B,P_2,P_1,D_1)),D_1)))|hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f600(B,P_2,P_1,D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f601(B,P_2,P_1,D_1)),B)).
% 115.60/114.36  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f596(B,P_2,P_1,D_1,Z)),Z))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f597(B,P_2,P_1,D_1)),D_1)))|hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f600(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f601(B,P_2,P_1,D_1)),$f602(B,P_2,P_1,D_1)))).
% 115.60/114.36  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f596(B,P_2,P_1,D_1,Z)),Z))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f597(B,P_2,P_1,D_1)),D_1)))|hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))|hBOOL(hAPP_int_bool(P_1,$f603(B,P_2,P_1,D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_int_bool(P_2,X_2)).
% 115.60/114.36  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f596(B,P_2,P_1,D_1,Z)),Z))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f597(B,P_2,P_1,D_1)),D_1)))|hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))|hBOOL(hAPP_int_bool(P_1,$f603(B,P_2,P_1,D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X18),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X19),B))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X19),X18))).
% 115.60/114.36  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f596(B,P_2,P_1,D_1,Z)),Z))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f597(B,P_2,P_1,D_1)),D_1)))| -hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f600(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f602(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1))).
% 115.60/114.37  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f596(B,P_2,P_1,D_1,Z)),Z))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f597(B,P_2,P_1,D_1)),D_1)))| -hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f600(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f601(B,P_2,P_1,D_1)),B)).
% 115.60/114.37  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f596(B,P_2,P_1,D_1,Z)),Z))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f597(B,P_2,P_1,D_1)),D_1)))| -hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f600(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f601(B,P_2,P_1,D_1)),$f602(B,P_2,P_1,D_1)))).
% 115.60/114.37  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f596(B,P_2,P_1,D_1,Z)),Z))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f597(B,P_2,P_1,D_1)),D_1)))| -hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f600(B,P_2,P_1,D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f602(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1))).
% 115.60/114.37  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f596(B,P_2,P_1,D_1,Z)),Z))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f597(B,P_2,P_1,D_1)),D_1)))| -hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f600(B,P_2,P_1,D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f601(B,P_2,P_1,D_1)),B)).
% 115.60/114.37  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f596(B,P_2,P_1,D_1,Z)),Z))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f597(B,P_2,P_1,D_1)),D_1)))| -hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f600(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f601(B,P_2,P_1,D_1)),$f602(B,P_2,P_1,D_1)))).
% 115.60/114.37  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f596(B,P_2,P_1,D_1,Z)),Z))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f597(B,P_2,P_1,D_1)),D_1)))| -hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))|hBOOL(hAPP_int_bool(P_1,$f603(B,P_2,P_1,D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_int_bool(P_2,X_2)).
% 115.60/114.37  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f596(B,P_2,P_1,D_1,Z)),Z))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f597(B,P_2,P_1,D_1)),D_1)))| -hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))|hBOOL(hAPP_int_bool(P_1,$f603(B,P_2,P_1,D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X18),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X19),B))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X19),X18))).
% 115.60/114.37  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),B))|$f597(B,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Xb),Xa)|hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f600(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f602(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1))).
% 115.60/114.37  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),B))|$f597(B,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Xb),Xa)|hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f600(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f601(B,P_2,P_1,D_1)),B)).
% 115.60/114.37  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),B))|$f597(B,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Xb),Xa)|hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f600(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f601(B,P_2,P_1,D_1)),$f602(B,P_2,P_1,D_1)))).
% 115.60/114.37  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),B))|$f597(B,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Xb),Xa)|hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f600(B,P_2,P_1,D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f602(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1))).
% 115.60/114.37  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),B))|$f597(B,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Xb),Xa)|hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f600(B,P_2,P_1,D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f601(B,P_2,P_1,D_1)),B)).
% 115.60/114.37  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),B))|$f597(B,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Xb),Xa)|hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f600(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f601(B,P_2,P_1,D_1)),$f602(B,P_2,P_1,D_1)))).
% 115.60/114.37  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),B))|$f597(B,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Xb),Xa)|hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))|hBOOL(hAPP_int_bool(P_1,$f603(B,P_2,P_1,D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_int_bool(P_2,X_2)).
% 115.60/114.37  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),B))|$f597(B,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Xb),Xa)|hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))|hBOOL(hAPP_int_bool(P_1,$f603(B,P_2,P_1,D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X18),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X19),B))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X19),X18))).
% 115.60/114.37  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),B))|$f597(B,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Xb),Xa)| -hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f600(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f602(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1))).
% 115.60/114.37  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),B))|$f597(B,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Xb),Xa)| -hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f600(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f601(B,P_2,P_1,D_1)),B)).
% 115.60/114.37  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),B))|$f597(B,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Xb),Xa)| -hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f600(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f601(B,P_2,P_1,D_1)),$f602(B,P_2,P_1,D_1)))).
% 115.60/114.37  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),B))|$f597(B,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Xb),Xa)| -hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f600(B,P_2,P_1,D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f602(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1))).
% 115.60/114.37  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),B))|$f597(B,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Xb),Xa)| -hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f600(B,P_2,P_1,D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f601(B,P_2,P_1,D_1)),B)).
% 115.60/114.37  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),B))|$f597(B,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Xb),Xa)| -hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f600(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f601(B,P_2,P_1,D_1)),$f602(B,P_2,P_1,D_1)))).
% 115.60/114.37  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),B))|$f597(B,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Xb),Xa)| -hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))|hBOOL(hAPP_int_bool(P_1,$f603(B,P_2,P_1,D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_int_bool(P_2,X_2)).
% 115.60/114.37  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),B))|$f597(B,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Xb),Xa)| -hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))|hBOOL(hAPP_int_bool(P_1,$f603(B,P_2,P_1,D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X18),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X19),B))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X19),X18))).
% 115.60/114.37  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_1,$f597(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f600(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f602(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1))).
% 115.60/114.37  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_1,$f597(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f600(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f601(B,P_2,P_1,D_1)),B)).
% 115.60/114.37  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_1,$f597(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f600(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f601(B,P_2,P_1,D_1)),$f602(B,P_2,P_1,D_1)))).
% 115.60/114.37  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_1,$f597(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f600(B,P_2,P_1,D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f602(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1))).
% 115.60/114.37  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_1,$f597(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f600(B,P_2,P_1,D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f601(B,P_2,P_1,D_1)),B)).
% 115.60/114.37  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_1,$f597(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f600(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f601(B,P_2,P_1,D_1)),$f602(B,P_2,P_1,D_1)))).
% 115.60/114.37  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_1,$f597(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))|hBOOL(hAPP_int_bool(P_1,$f603(B,P_2,P_1,D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_int_bool(P_2,X_2)).
% 115.60/114.37  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_1,$f597(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))|hBOOL(hAPP_int_bool(P_1,$f603(B,P_2,P_1,D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X18),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X19),B))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X19),X18))).
% 115.60/114.37  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_1,$f597(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f600(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f602(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1))).
% 115.60/114.37  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_1,$f597(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f600(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f601(B,P_2,P_1,D_1)),B)).
% 115.60/114.37  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_1,$f597(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f600(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f601(B,P_2,P_1,D_1)),$f602(B,P_2,P_1,D_1)))).
% 115.60/114.37  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_1,$f597(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f600(B,P_2,P_1,D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f602(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1))).
% 115.60/114.38  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_1,$f597(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f600(B,P_2,P_1,D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f601(B,P_2,P_1,D_1)),B)).
% 115.60/114.38  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_1,$f597(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f600(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f601(B,P_2,P_1,D_1)),$f602(B,P_2,P_1,D_1)))).
% 115.60/114.38  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_1,$f597(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))|hBOOL(hAPP_int_bool(P_1,$f603(B,P_2,P_1,D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_int_bool(P_2,X_2)).
% 115.60/114.38  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_1,$f597(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))|hBOOL(hAPP_int_bool(P_1,$f603(B,P_2,P_1,D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X18),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X19),B))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X19),X18))).
% 115.60/114.38  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f597(B,P_2,P_1,D_1)),D_1)))|hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f600(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f602(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1))).
% 115.60/114.38  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f597(B,P_2,P_1,D_1)),D_1)))|hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f600(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f601(B,P_2,P_1,D_1)),B)).
% 115.60/114.38  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f597(B,P_2,P_1,D_1)),D_1)))|hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f600(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f601(B,P_2,P_1,D_1)),$f602(B,P_2,P_1,D_1)))).
% 115.60/114.38  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f597(B,P_2,P_1,D_1)),D_1)))|hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f600(B,P_2,P_1,D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f602(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1))).
% 115.60/114.38  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f597(B,P_2,P_1,D_1)),D_1)))|hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f600(B,P_2,P_1,D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f601(B,P_2,P_1,D_1)),B)).
% 115.60/114.38  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f597(B,P_2,P_1,D_1)),D_1)))|hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f600(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f601(B,P_2,P_1,D_1)),$f602(B,P_2,P_1,D_1)))).
% 115.60/114.38  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f597(B,P_2,P_1,D_1)),D_1)))|hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))|hBOOL(hAPP_int_bool(P_1,$f603(B,P_2,P_1,D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_int_bool(P_2,X_2)).
% 115.60/114.38  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f597(B,P_2,P_1,D_1)),D_1)))|hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))|hBOOL(hAPP_int_bool(P_1,$f603(B,P_2,P_1,D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X18),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X19),B))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X19),X18))).
% 115.60/114.38  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f597(B,P_2,P_1,D_1)),D_1)))| -hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f600(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f602(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1))).
% 115.60/114.38  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f597(B,P_2,P_1,D_1)),D_1)))| -hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f600(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f601(B,P_2,P_1,D_1)),B)).
% 115.60/114.38  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f597(B,P_2,P_1,D_1)),D_1)))| -hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f600(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f601(B,P_2,P_1,D_1)),$f602(B,P_2,P_1,D_1)))).
% 115.60/114.38  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f597(B,P_2,P_1,D_1)),D_1)))| -hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f600(B,P_2,P_1,D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f602(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1))).
% 115.60/114.38  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f597(B,P_2,P_1,D_1)),D_1)))| -hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f600(B,P_2,P_1,D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f601(B,P_2,P_1,D_1)),B)).
% 115.60/114.38  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f597(B,P_2,P_1,D_1)),D_1)))| -hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f600(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f601(B,P_2,P_1,D_1)),$f602(B,P_2,P_1,D_1)))).
% 115.60/114.38  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f597(B,P_2,P_1,D_1)),D_1)))| -hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))|hBOOL(hAPP_int_bool(P_1,$f603(B,P_2,P_1,D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_int_bool(P_2,X_2)).
% 115.60/114.38  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f597(B,P_2,P_1,D_1)),D_1)))| -hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))|hBOOL(hAPP_int_bool(P_1,$f603(B,P_2,P_1,D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X18),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X19),B))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X19),X18))).
% 115.60/114.38  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),B))|$f597(B,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Xb),Xa)|hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f600(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f602(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1))).
% 115.60/114.38  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),B))|$f597(B,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Xb),Xa)|hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f600(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f601(B,P_2,P_1,D_1)),B)).
% 115.60/114.38  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),B))|$f597(B,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Xb),Xa)|hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f600(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f601(B,P_2,P_1,D_1)),$f602(B,P_2,P_1,D_1)))).
% 115.60/114.38  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),B))|$f597(B,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Xb),Xa)|hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f600(B,P_2,P_1,D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f602(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1))).
% 115.60/114.38  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),B))|$f597(B,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Xb),Xa)|hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f600(B,P_2,P_1,D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f601(B,P_2,P_1,D_1)),B)).
% 115.60/114.38  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),B))|$f597(B,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Xb),Xa)|hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f600(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f601(B,P_2,P_1,D_1)),$f602(B,P_2,P_1,D_1)))).
% 115.60/114.38  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),B))|$f597(B,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Xb),Xa)|hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))|hBOOL(hAPP_int_bool(P_1,$f603(B,P_2,P_1,D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_int_bool(P_2,X_2)).
% 115.60/114.38  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),B))|$f597(B,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Xb),Xa)|hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))|hBOOL(hAPP_int_bool(P_1,$f603(B,P_2,P_1,D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X18),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X19),B))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X19),X18))).
% 115.60/114.38  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),B))|$f597(B,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Xb),Xa)| -hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f600(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f602(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1))).
% 115.60/114.38  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),B))|$f597(B,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Xb),Xa)| -hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f600(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f601(B,P_2,P_1,D_1)),B)).
% 115.64/114.39  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),B))|$f597(B,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Xb),Xa)| -hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f600(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f601(B,P_2,P_1,D_1)),$f602(B,P_2,P_1,D_1)))).
% 115.64/114.39  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),B))|$f597(B,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Xb),Xa)| -hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f600(B,P_2,P_1,D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f602(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1))).
% 115.64/114.39  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),B))|$f597(B,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Xb),Xa)| -hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f600(B,P_2,P_1,D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f601(B,P_2,P_1,D_1)),B)).
% 115.64/114.39  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),B))|$f597(B,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Xb),Xa)| -hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f600(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f601(B,P_2,P_1,D_1)),$f602(B,P_2,P_1,D_1)))).
% 115.64/114.39  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),B))|$f597(B,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Xb),Xa)| -hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))|hBOOL(hAPP_int_bool(P_1,$f603(B,P_2,P_1,D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_int_bool(P_2,X_2)).
% 115.64/114.39  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),B))|$f597(B,P_2,P_1,D_1)!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Xb),Xa)| -hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))|hBOOL(hAPP_int_bool(P_1,$f603(B,P_2,P_1,D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X18),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X19),B))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X19),X18))).
% 115.64/114.39  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_1,$f597(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f600(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f602(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1))).
% 115.64/114.39  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_1,$f597(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f600(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f601(B,P_2,P_1,D_1)),B)).
% 115.64/114.39  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_1,$f597(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f600(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f601(B,P_2,P_1,D_1)),$f602(B,P_2,P_1,D_1)))).
% 115.64/114.39  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_1,$f597(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f600(B,P_2,P_1,D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f602(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1))).
% 115.64/114.39  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_1,$f597(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f600(B,P_2,P_1,D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f601(B,P_2,P_1,D_1)),B)).
% 115.64/114.39  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_1,$f597(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f600(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f601(B,P_2,P_1,D_1)),$f602(B,P_2,P_1,D_1)))).
% 115.64/114.39  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_1,$f597(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))|hBOOL(hAPP_int_bool(P_1,$f603(B,P_2,P_1,D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_int_bool(P_2,X_2)).
% 115.64/114.39  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_1,$f597(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))|hBOOL(hAPP_int_bool(P_1,$f603(B,P_2,P_1,D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X18),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X19),B))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X19),X18))).
% 115.64/114.39  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_1,$f597(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f600(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f602(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1))).
% 115.64/114.39  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_1,$f597(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f600(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f601(B,P_2,P_1,D_1)),B)).
% 115.64/114.39  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_1,$f597(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f600(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f601(B,P_2,P_1,D_1)),$f602(B,P_2,P_1,D_1)))).
% 115.64/114.39  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_1,$f597(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f600(B,P_2,P_1,D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f602(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1))).
% 115.64/114.39  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_1,$f597(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f600(B,P_2,P_1,D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f601(B,P_2,P_1,D_1)),B)).
% 115.64/114.39  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_1,$f597(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f600(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f601(B,P_2,P_1,D_1)),$f602(B,P_2,P_1,D_1)))).
% 115.64/114.39  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_1,$f597(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))|hBOOL(hAPP_int_bool(P_1,$f603(B,P_2,P_1,D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_int_bool(P_2,X_2)).
% 115.64/114.39  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))|hBOOL(hAPP_int_bool(P_1,$f597(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))|hBOOL(hAPP_int_bool(P_1,$f603(B,P_2,P_1,D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X18),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X19),B))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X19),X18))).
% 115.64/114.39  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f597(B,P_2,P_1,D_1)),D_1)))|hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f600(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f602(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1))).
% 115.64/114.39  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f597(B,P_2,P_1,D_1)),D_1)))|hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f600(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f601(B,P_2,P_1,D_1)),B)).
% 115.64/114.39  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f597(B,P_2,P_1,D_1)),D_1)))|hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f600(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f601(B,P_2,P_1,D_1)),$f602(B,P_2,P_1,D_1)))).
% 115.64/114.39  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f597(B,P_2,P_1,D_1)),D_1)))|hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f600(B,P_2,P_1,D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f602(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1))).
% 115.64/114.39  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f597(B,P_2,P_1,D_1)),D_1)))|hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f600(B,P_2,P_1,D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f601(B,P_2,P_1,D_1)),B)).
% 115.64/114.39  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f597(B,P_2,P_1,D_1)),D_1)))|hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f600(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f601(B,P_2,P_1,D_1)),$f602(B,P_2,P_1,D_1)))).
% 115.64/114.39  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f597(B,P_2,P_1,D_1)),D_1)))|hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))|hBOOL(hAPP_int_bool(P_1,$f603(B,P_2,P_1,D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_int_bool(P_2,X_2)).
% 115.64/114.39  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f597(B,P_2,P_1,D_1)),D_1)))|hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))|hBOOL(hAPP_int_bool(P_1,$f603(B,P_2,P_1,D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X18),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X19),B))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X19),X18))).
% 115.64/114.39  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f597(B,P_2,P_1,D_1)),D_1)))| -hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f600(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f602(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1))).
% 115.64/114.39  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f597(B,P_2,P_1,D_1)),D_1)))| -hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f600(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f601(B,P_2,P_1,D_1)),B)).
% 115.64/114.39  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f597(B,P_2,P_1,D_1)),D_1)))| -hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f600(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f601(B,P_2,P_1,D_1)),$f602(B,P_2,P_1,D_1)))).
% 115.64/114.39  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f597(B,P_2,P_1,D_1)),D_1)))| -hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f600(B,P_2,P_1,D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f602(B,P_2,P_1,D_1)),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1))).
% 115.64/114.39  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f597(B,P_2,P_1,D_1)),D_1)))| -hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f600(B,P_2,P_1,D_1)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f601(B,P_2,P_1,D_1)),B)).
% 115.64/114.39  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f597(B,P_2,P_1,D_1)),D_1)))| -hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(P_2,$f600(B,P_2,P_1,D_1)))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f601(B,P_2,P_1,D_1)),$f602(B,P_2,P_1,D_1)))).
% 115.64/114.39  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f597(B,P_2,P_1,D_1)),D_1)))| -hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))|hBOOL(hAPP_int_bool(P_1,$f603(B,P_2,P_1,D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_int_bool(P_2,X_2)).
% 115.64/114.40  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_2,$f596(B,P_2,P_1,D_1,Z)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f597(B,P_2,P_1,D_1)),D_1)))| -hBOOL(hAPP_int_bool(P_2,$f599(B,P_2,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f599(B,P_2,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f598(B,P_2,P_1,D_1)),D_1))))|hBOOL(hAPP_int_bool(P_1,$f603(B,P_2,P_1,D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X18),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X19),B))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X19),X18))).
% 115.64/114.40  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(F,$f604(L,F))),hAPP_nat_real(F,hAPP_nat_nat(suc,$f604(L,F)))))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(F,$f605(L,F))),L))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),$f606(L,F)))|hBOOL(tendsto_nat_real(F,L,se_quentially)).
% 115.64/114.40  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(F,$f604(L,F))),hAPP_nat_real(F,hAPP_nat_nat(suc,$f604(L,F)))))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(F,$f605(L,F))),L))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,L),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(F,N_2)),$f606(L,F))))|hBOOL(tendsto_nat_real(F,L,se_quentially)).
% 115.64/114.40  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|hBOOL(hAPP_real_bool(isCont_real_real(hAPP_n546711566l_real(root,N)),X_1)).
% 115.64/114.40  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))|hBOOL(hAPP_real_bool(isCont_real_real(ln),X_1)).
% 115.64/114.40  0 [] hBOOL(hAPP_real_bool(isCont_real_real(abs_abs_real),Aa)).
% 115.64/114.40  0 [] hBOOL(hAPP_complex_bool(isCont_complex_real(im),Aa)).
% 115.64/114.40  0 [] hBOOL(hAPP_complex_bool(isCont_complex_real(re),Aa)).
% 115.64/114.40  0 [] hBOOL(hAPP_complex_bool(isCont156215680omplex(cnj),Aa)).
% 115.64/114.40  0 [] hBOOL(hAPP_real_bool(isCont_real_real(sqrt),X_1)).
% 115.64/114.40  0 [] hBOOL(hAPP_real_bool(isCont_real_real(cos),X_1)).
% 115.64/114.40  0 [] hBOOL(hAPP_real_bool(isCont_real_real(arctan),X_1)).
% 115.64/114.40  0 [] hBOOL(hAPP_real_bool(isCont_real_real(sin),X_1)).
% 115.64/114.40  0 [] hAPP_real_real(cos,X_1)=zero_zero_real|hBOOL(hAPP_real_bool(isCont_real_real(tan),X_1)).
% 115.64/114.40  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|hBOOL(hAPP_real_bool(isCont_real_real(hAPP_n546711566l_real(root,N)),zero_zero_real)).
% 115.64/114.40  0 [] -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_1),zero_zero_real))|hBOOL(hAPP_real_bool(isCont_real_real(hAPP_n546711566l_real(root,N)),X_1)).
% 115.64/114.40  0 [] -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_1))|hBOOL(hAPP_real_bool(isCont_real_real(hAPP_n546711566l_real(root,N)),X_1)).
% 115.64/114.40  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(number267125858f_real,min)),X_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),one_one_real))|hBOOL(hAPP_real_bool(isCont_real_real(arccos),X_1)).
% 115.64/114.40  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(number267125858f_real,min)),X_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),one_one_real))|hBOOL(hAPP_real_bool(isCont_real_real(arcsin),X_1)).
% 115.64/114.40  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Ba),X_1))|hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,$f607(F,Ba,X_1)),hAPP_r1134773055l_bool(ord_gr788844697n_real(Ba),X_1)))| -hBOOL(hAPP_real_bool(isCont_real_real(F),X_1))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(F,X_1))).
% 115.64/114.40  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Ba),X_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(F,$f607(F,Ba,X_1))))| -hBOOL(hAPP_real_bool(isCont_real_real(F),X_1))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(F,X_1))).
% 115.64/114.40  0 [] -hBOOL(hAPP_real_bool(deriv_real(F,hAPP_real_real(G,X_1)),D_1))|D_1=zero_zero_real| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),X_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Ba))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),$f608(Ba,Aa,F,G,X_1,D_1)))| -hBOOL(hAPP_real_bool(isCont_real_real(G),X_1))|hBOOL(hAPP_real_bool(deriv_real(G,X_1),hAPP_real_real(inverse_inverse_real,D_1))).
% 115.64/114.40  0 [] -hBOOL(hAPP_real_bool(deriv_real(F,hAPP_real_real(G,X_1)),D_1))|D_1=zero_zero_real| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),X_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Ba))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,$f608(Ba,Aa,F,G,X_1,D_1)),Ba))| -hBOOL(hAPP_real_bool(isCont_real_real(G),X_1))|hBOOL(hAPP_real_bool(deriv_real(G,X_1),hAPP_real_real(inverse_inverse_real,D_1))).
% 115.64/114.40  0 [] -hBOOL(hAPP_real_bool(deriv_real(F,hAPP_real_real(G,X_1)),D_1))|D_1=zero_zero_real| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),X_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Ba))|hAPP_real_real(F,hAPP_real_real(G,$f608(Ba,Aa,F,G,X_1,D_1)))!=$f608(Ba,Aa,F,G,X_1,D_1)| -hBOOL(hAPP_real_bool(isCont_real_real(G),X_1))|hBOOL(hAPP_real_bool(deriv_real(G,X_1),hAPP_real_real(inverse_inverse_real,D_1))).
% 115.64/114.40  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,$f609(G,F,X_1,D)),X_1))),D))|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,$f610(G,F,X_1,D)),X_1))),D))|hBOOL(hAPP_real_bool(isCont_real_real(G),hAPP_real_real(F,X_1))).
% 115.64/114.40  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,$f609(G,F,X_1,D)),X_1))),D))| -hBOOL(hAPP_real_bool(isCont_real_real(F),$f610(G,F,X_1,D)))|hBOOL(hAPP_real_bool(isCont_real_real(G),hAPP_real_real(F,X_1))).
% 115.64/114.40  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D))|hAPP_real_real(G,hAPP_real_real(F,$f609(G,F,X_1,D)))!=$f609(G,F,X_1,D)|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,$f610(G,F,X_1,D)),X_1))),D))|hBOOL(hAPP_real_bool(isCont_real_real(G),hAPP_real_real(F,X_1))).
% 115.64/114.40  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D))|hAPP_real_real(G,hAPP_real_real(F,$f609(G,F,X_1,D)))!=$f609(G,F,X_1,D)| -hBOOL(hAPP_real_bool(isCont_real_real(F),$f610(G,F,X_1,D)))|hBOOL(hAPP_real_bool(isCont_real_real(G),hAPP_real_real(F,X_1))).
% 115.64/114.40  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),$f611(X_1,F,Aa,Ba)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),$f612(X_1,F,Aa,Ba)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),X_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Ba))|hAPP_real_real(F,X_1)=hAPP_real_real(F,Aa).
% 115.64/114.40  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),$f611(X_1,F,Aa,Ba)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,$f612(X_1,F,Aa,Ba)),Ba))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),X_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Ba))|hAPP_real_real(F,X_1)=hAPP_real_real(F,Aa).
% 115.64/114.40  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),$f611(X_1,F,Aa,Ba)))| -hBOOL(hAPP_real_bool(deriv_real(F,$f612(X_1,F,Aa,Ba)),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),X_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Ba))|hAPP_real_real(F,X_1)=hAPP_real_real(F,Aa).
% 115.64/114.40  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f611(X_1,F,Aa,Ba)),Ba))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),$f612(X_1,F,Aa,Ba)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),X_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Ba))|hAPP_real_real(F,X_1)=hAPP_real_real(F,Aa).
% 115.64/114.40  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f611(X_1,F,Aa,Ba)),Ba))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,$f612(X_1,F,Aa,Ba)),Ba))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),X_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Ba))|hAPP_real_real(F,X_1)=hAPP_real_real(F,Aa).
% 115.64/114.40  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f611(X_1,F,Aa,Ba)),Ba))| -hBOOL(hAPP_real_bool(deriv_real(F,$f612(X_1,F,Aa,Ba)),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),X_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Ba))|hAPP_real_real(F,X_1)=hAPP_real_real(F,Aa).
% 115.64/114.40  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba))| -hBOOL(hAPP_real_bool(isCont_real_real(F),$f611(X_1,F,Aa,Ba)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),$f612(X_1,F,Aa,Ba)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),X_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Ba))|hAPP_real_real(F,X_1)=hAPP_real_real(F,Aa).
% 115.64/114.40  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba))| -hBOOL(hAPP_real_bool(isCont_real_real(F),$f611(X_1,F,Aa,Ba)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,$f612(X_1,F,Aa,Ba)),Ba))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),X_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Ba))|hAPP_real_real(F,X_1)=hAPP_real_real(F,Aa).
% 115.64/114.40  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba))| -hBOOL(hAPP_real_bool(isCont_real_real(F),$f611(X_1,F,Aa,Ba)))| -hBOOL(hAPP_real_bool(deriv_real(F,$f612(X_1,F,Aa,Ba)),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),X_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Ba))|hAPP_real_real(F,X_1)=hAPP_real_real(F,Aa).
% 115.64/114.40  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),$f613(F,Aa,Ba)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),$f614(F,Aa,Ba)))|hAPP_real_real(F,Ba)=hAPP_real_real(F,Aa).
% 115.64/114.40  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),$f613(F,Aa,Ba)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,$f614(F,Aa,Ba)),Ba))|hAPP_real_real(F,Ba)=hAPP_real_real(F,Aa).
% 115.64/114.40  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),$f613(F,Aa,Ba)))| -hBOOL(hAPP_real_bool(deriv_real(F,$f614(F,Aa,Ba)),zero_zero_real))|hAPP_real_real(F,Ba)=hAPP_real_real(F,Aa).
% 115.64/114.40  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f613(F,Aa,Ba)),Ba))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),$f614(F,Aa,Ba)))|hAPP_real_real(F,Ba)=hAPP_real_real(F,Aa).
% 115.64/114.40  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f613(F,Aa,Ba)),Ba))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,$f614(F,Aa,Ba)),Ba))|hAPP_real_real(F,Ba)=hAPP_real_real(F,Aa).
% 115.64/114.40  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f613(F,Aa,Ba)),Ba))| -hBOOL(hAPP_real_bool(deriv_real(F,$f614(F,Aa,Ba)),zero_zero_real))|hAPP_real_real(F,Ba)=hAPP_real_real(F,Aa).
% 115.64/114.40  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba))| -hBOOL(hAPP_real_bool(isCont_real_real(F),$f613(F,Aa,Ba)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),$f614(F,Aa,Ba)))|hAPP_real_real(F,Ba)=hAPP_real_real(F,Aa).
% 115.64/114.40  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba))| -hBOOL(hAPP_real_bool(isCont_real_real(F),$f613(F,Aa,Ba)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,$f614(F,Aa,Ba)),Ba))|hAPP_real_real(F,Ba)=hAPP_real_real(F,Aa).
% 115.64/114.40  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba))| -hBOOL(hAPP_real_bool(isCont_real_real(F),$f613(F,Aa,Ba)))| -hBOOL(hAPP_real_bool(deriv_real(F,$f614(F,Aa,Ba)),zero_zero_real))|hAPP_real_real(F,Ba)=hAPP_real_real(F,Aa).
% 115.64/114.40  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),$f615(F,Aa,Ba)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),$f616(F,Aa,Ba)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),X_2))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_2),Ba))|hAPP_real_real(F,X_2)=hAPP_real_real(F,Aa).
% 115.64/114.40  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),$f615(F,Aa,Ba)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,$f616(F,Aa,Ba)),Ba))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),X_2))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_2),Ba))|hAPP_real_real(F,X_2)=hAPP_real_real(F,Aa).
% 115.64/114.40  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),$f615(F,Aa,Ba)))| -hBOOL(hAPP_real_bool(deriv_real(F,$f616(F,Aa,Ba)),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),X_2))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_2),Ba))|hAPP_real_real(F,X_2)=hAPP_real_real(F,Aa).
% 115.64/114.40  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f615(F,Aa,Ba)),Ba))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),$f616(F,Aa,Ba)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),X_2))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_2),Ba))|hAPP_real_real(F,X_2)=hAPP_real_real(F,Aa).
% 115.64/114.40  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f615(F,Aa,Ba)),Ba))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,$f616(F,Aa,Ba)),Ba))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),X_2))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_2),Ba))|hAPP_real_real(F,X_2)=hAPP_real_real(F,Aa).
% 115.64/114.40  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,$f615(F,Aa,Ba)),Ba))| -hBOOL(hAPP_real_bool(deriv_real(F,$f616(F,Aa,Ba)),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),X_2))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_2),Ba))|hAPP_real_real(F,X_2)=hAPP_real_real(F,Aa).
% 115.64/114.40  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba))| -hBOOL(hAPP_real_bool(isCont_real_real(F),$f615(F,Aa,Ba)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),$f616(F,Aa,Ba)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),X_2))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_2),Ba))|hAPP_real_real(F,X_2)=hAPP_real_real(F,Aa).
% 115.64/114.40  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba))| -hBOOL(hAPP_real_bool(isCont_real_real(F),$f615(F,Aa,Ba)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,$f616(F,Aa,Ba)),Ba))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),X_2))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_2),Ba))|hAPP_real_real(F,X_2)=hAPP_real_real(F,Aa).
% 115.64/114.40  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Aa),Ba))| -hBOOL(hAPP_real_bool(isCont_real_real(F),$f615(F,Aa,Ba)))| -hBOOL(hAPP_real_bool(deriv_real(F,$f616(F,Aa,Ba)),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Aa),X_2))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_2),Ba))|hAPP_real_real(F,X_2)=hAPP_real_real(F,Aa).
% 115.64/114.40  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,$f617(G,F,X_1,D)),X_1))),D))|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,$f618(G,F,X_1,D)),X_1))),D))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,$f619(G,F,X_1,D)),X_1))),D)).
% 115.64/114.40  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D))|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,$f617(G,F,X_1,D)),X_1))),D))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,$f618(G,F,X_1,D)),X_1))),D))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(F,$f619(G,F,X_1,D))),hAPP_real_real(F,X_1))).
% 115.64/114.40  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,$f617(G,F,X_1,D)),X_1))),D))| -hBOOL(hAPP_real_bool(isCont_real_real(F),$f618(G,F,X_1,D)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,$f619(G,F,X_1,D)),X_1))),D)).
% 115.64/114.40  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D))|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,$f617(G,F,X_1,D)),X_1))),D))| -hBOOL(hAPP_real_bool(isCont_real_real(F),$f618(G,F,X_1,D)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(F,$f619(G,F,X_1,D))),hAPP_real_real(F,X_1))).
% 115.64/114.40  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D))|hAPP_real_real(G,hAPP_real_real(F,$f617(G,F,X_1,D)))!=$f617(G,F,X_1,D)|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,$f618(G,F,X_1,D)),X_1))),D))|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,$f619(G,F,X_1,D)),X_1))),D)).
% 115.64/114.40  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D))|hAPP_real_real(G,hAPP_real_real(F,$f617(G,F,X_1,D)))!=$f617(G,F,X_1,D)|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,$f618(G,F,X_1,D)),X_1))),D))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(F,$f619(G,F,X_1,D))),hAPP_real_real(F,X_1))).
% 115.64/114.40  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D))|hAPP_real_real(G,hAPP_real_real(F,$f617(G,F,X_1,D)))!=$f617(G,F,X_1,D)| -hBOOL(hAPP_real_bool(isCont_real_real(F),$f618(G,F,X_1,D)))|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,$f619(G,F,X_1,D)),X_1))),D)).
% 115.64/114.40  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D))|hAPP_real_real(G,hAPP_real_real(F,$f617(G,F,X_1,D)))!=$f617(G,F,X_1,D)| -hBOOL(hAPP_real_bool(isCont_real_real(F),$f618(G,F,X_1,D)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(F,$f619(G,F,X_1,D))),hAPP_real_real(F,X_1))).
% 115.64/114.40  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,$f620(G,F,X_1,D)),X_1))),D))|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,$f621(G,F,X_1,D)),X_1))),D))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),$f622(G,F,X_1,D))).
% 115.64/114.40  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D))|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,$f620(G,F,X_1,D)),X_1))),D))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,$f621(G,F,X_1,D)),X_1))),D))| -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,X_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,Y_1),hAPP_real_real(F,X_1)))),$f622(G,F,X_1,D)))|hAPP_real_real(F,hAPP_real_real(G,Y_1))=Y_1.
% 115.64/114.40  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,$f620(G,F,X_1,D)),X_1))),D))| -hBOOL(hAPP_real_bool(isCont_real_real(F),$f621(G,F,X_1,D)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),$f622(G,F,X_1,D))).
% 115.64/114.40  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D))|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,$f620(G,F,X_1,D)),X_1))),D))| -hBOOL(hAPP_real_bool(isCont_real_real(F),$f621(G,F,X_1,D)))| -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,X_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,Y_1),hAPP_real_real(F,X_1)))),$f622(G,F,X_1,D)))|hAPP_real_real(F,hAPP_real_real(G,Y_1))=Y_1.
% 115.64/114.40  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D))|hAPP_real_real(G,hAPP_real_real(F,$f620(G,F,X_1,D)))!=$f620(G,F,X_1,D)|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,$f621(G,F,X_1,D)),X_1))),D))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),$f622(G,F,X_1,D))).
% 115.64/114.40  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D))|hAPP_real_real(G,hAPP_real_real(F,$f620(G,F,X_1,D)))!=$f620(G,F,X_1,D)|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,$f621(G,F,X_1,D)),X_1))),D))| -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,X_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,Y_1),hAPP_real_real(F,X_1)))),$f622(G,F,X_1,D)))|hAPP_real_real(F,hAPP_real_real(G,Y_1))=Y_1.
% 115.64/114.40  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D))|hAPP_real_real(G,hAPP_real_real(F,$f620(G,F,X_1,D)))!=$f620(G,F,X_1,D)| -hBOOL(hAPP_real_bool(isCont_real_real(F),$f621(G,F,X_1,D)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),$f622(G,F,X_1,D))).
% 115.64/114.40  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D))|hAPP_real_real(G,hAPP_real_real(F,$f620(G,F,X_1,D)))!=$f620(G,F,X_1,D)| -hBOOL(hAPP_real_bool(isCont_real_real(F),$f621(G,F,X_1,D)))| -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,X_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,Y_1),hAPP_real_real(F,X_1)))),$f622(G,F,X_1,D)))|hAPP_real_real(F,hAPP_real_real(G,Y_1))=Y_1.
% 115.64/114.40  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,$f623(G,F,X_1,D)),X_1))),D))|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,$f624(G,F,X_1,D)),X_1))),D))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,$f625(G,F,X_1,D)),X_1))),D)).
% 115.64/114.40  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D))|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,$f623(G,F,X_1,D)),X_1))),D))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,$f624(G,F,X_1,D)),X_1))),D))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(F,X_1)),hAPP_real_real(F,$f625(G,F,X_1,D)))).
% 115.64/114.40  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,$f623(G,F,X_1,D)),X_1))),D))| -hBOOL(hAPP_real_bool(isCont_real_real(F),$f624(G,F,X_1,D)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,$f625(G,F,X_1,D)),X_1))),D)).
% 115.64/114.40  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D))|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,$f623(G,F,X_1,D)),X_1))),D))| -hBOOL(hAPP_real_bool(isCont_real_real(F),$f624(G,F,X_1,D)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(F,X_1)),hAPP_real_real(F,$f625(G,F,X_1,D)))).
% 115.64/114.40  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D))|hAPP_real_real(G,hAPP_real_real(F,$f623(G,F,X_1,D)))!=$f623(G,F,X_1,D)|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,$f624(G,F,X_1,D)),X_1))),D))|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,$f625(G,F,X_1,D)),X_1))),D)).
% 115.64/114.40  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D))|hAPP_real_real(G,hAPP_real_real(F,$f623(G,F,X_1,D)))!=$f623(G,F,X_1,D)|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,$f624(G,F,X_1,D)),X_1))),D))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(F,X_1)),hAPP_real_real(F,$f625(G,F,X_1,D)))).
% 115.64/114.41  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D))|hAPP_real_real(G,hAPP_real_real(F,$f623(G,F,X_1,D)))!=$f623(G,F,X_1,D)| -hBOOL(hAPP_real_bool(isCont_real_real(F),$f624(G,F,X_1,D)))|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,$f625(G,F,X_1,D)),X_1))),D)).
% 115.64/114.41  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D))|hAPP_real_real(G,hAPP_real_real(F,$f623(G,F,X_1,D)))!=$f623(G,F,X_1,D)| -hBOOL(hAPP_real_bool(isCont_real_real(F),$f624(G,F,X_1,D)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(F,X_1)),hAPP_real_real(F,$f625(G,F,X_1,D)))).
% 115.64/114.41  0 [] hAPP_n1699378549t_bool(ord_atMost_nat,N)=image_int_nat(nat,hAPP_i1948725293t_bool(ord_at875362053st_int(zero_zero_int),hAPP_nat_int(semiri1621563631at_int,N))).
% 115.64/114.41  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,hAPP_int_nat(number_number_of_nat,V)),hAPP_nat_nat(suc,N))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(hAPP_b992065680at_nat(if_nat,hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,V)))),hAPP_nat_nat(suc,N)),hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,hAPP_int_nat(nat,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,V)))),N))).
% 115.64/114.41  0 [] hBOOL(hAPP_f54304608l_bool(finite_finite_nat,hAPP_n1699378549t_bool(ord_atMost_nat,K_1))).
% 115.64/114.41  0 [] hAPP_n1699378549t_bool(ord_at238088361st_nat(zero_zero_nat),N)=hAPP_n1699378549t_bool(ord_atMost_nat,N).
% 115.64/114.41  0 [] hAPP_f22106695ol_nat(finite_card_nat,hAPP_n1699378549t_bool(ord_atMost_nat,U))=hAPP_nat_nat(suc,U).
% 115.64/114.41  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,hAPP_nat_nat(suc,M_1)),hAPP_nat_nat(suc,N_1))=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,M_1),N_1)).
% 115.64/114.41  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,N_1),zero_zero_nat)=N_1.
% 115.64/114.41  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,zero_zero_nat),N_1)=N_1.
% 115.64/114.41  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_1),M_1)),M_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,N_1),M_1).
% 115.64/114.41  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,hAPP_nat_nat(suc,N)),M)=hAPP_nat_nat(nat_case_nat(hAPP_nat_nat(suc,N),hAPP_f1914919701at_nat(hAPP_f1585078997at_nat(cOMBB_nat_nat_nat,suc),hAPP_nat_fun_nat_nat(ord_max_nat,N))),M).
% 115.64/114.41  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,M),hAPP_nat_nat(suc,N))=hAPP_nat_nat(nat_case_nat(hAPP_nat_nat(suc,N),hAPP_f1914919701at_nat(hAPP_f1585078997at_nat(cOMBB_nat_nat_nat,suc),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,ord_max_nat),N))),M).
% 115.64/114.41  0 [] hAPP_n1699378549t_bool(ord_lessThan_nat,hAPP_nat_nat(suc,K_1))=hAPP_n1699378549t_bool(ord_atMost_nat,K_1).
% 115.64/114.41  0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,S))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,S),hAPP_n1699378549t_bool(ord_atMost_nat,$f626(S)))).
% 115.64/114.41  0 [] hBOOL(hAPP_f54304608l_bool(finite_finite_nat,S))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,S),hAPP_n1699378549t_bool(ord_atMost_nat,K))).
% 115.64/114.41  0 [] -hBOOL(hAPP_bool_bool(fNot,P))| -hBOOL(P).
% 115.64/114.41  0 [] hBOOL(P)|hBOOL(hAPP_bool_bool(fNot,P)).
% 115.64/114.41  0 [] hBOOL(fTrue).
% 115.64/114.41  0 [] -is_bool(P)|P=fTrue|P=fFalse.
% 115.64/114.41  0 [] -hBOOL(P)| -hBOOL(Q)|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,P),Q)).
% 115.64/114.41  0 [] -hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,P),Q))|hBOOL(P).
% 115.64/114.41  0 [] -hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,P),Q))|hBOOL(Q).
% 115.64/114.41  0 [] -hBOOL(P)|hBOOL(fdisj(P,Q)).
% 115.64/114.41  0 [] -hBOOL(Q)|hBOOL(fdisj(P,Q)).
% 115.64/114.41  0 [] -hBOOL(fdisj(P,Q))|hBOOL(P)|hBOOL(Q).
% 115.64/114.41  0 [] -hBOOL(fFalse).
% 115.64/114.41  0 [] -is_bool(P)|P=fTrue|P=fFalse.
% 115.64/114.41  0 [] hBOOL(P)|hBOOL(hAPP_bool_bool(fimplies(P),Q)).
% 115.64/114.41  0 [] -hBOOL(Q)|hBOOL(hAPP_bool_bool(fimplies(P),Q)).
% 115.64/114.41  0 [] -hBOOL(hAPP_bool_bool(fimplies(P),Q))| -hBOOL(P)|hBOOL(Q).
% 115.64/114.41  0 [] hAPP_int_int(hAPP_int_fun_int_int(hAPP_b1463609396nt_int(if_int,fTrue),X),Y)=X.
% 115.64/114.41  0 [] hAPP_int_int(hAPP_int_fun_int_int(hAPP_b1463609396nt_int(if_int,fFalse),X),Y)=Y.
% 115.64/114.41  0 [] -is_bool(P)|P=fTrue|P=fFalse.
% 115.64/114.41  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(hAPP_b992065680at_nat(if_nat,fTrue),X),Y)=X.
% 115.64/114.41  0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(hAPP_b992065680at_nat(if_nat,fFalse),X),Y)=Y.
% 115.64/114.41  0 [] -is_bool(P)|P=fTrue|P=fFalse.
% 115.64/114.41  0 [] -hBOOL(hAPP_int_bool(P,X))|hBOOL(hAPP_f448129468l_bool(fEx_int,P)).
% 115.64/114.41  0 [] -hBOOL(hAPP_nat_bool(P,X))|hBOOL(hAPP_f54304608l_bool(fEx_nat,P)).
% 115.64/114.41  0 [] hAPP_int_int(cOMBI_int,P)=P.
% 115.64/114.41  0 [] hAPP_nat_nat(cOMBI_nat,P)=P.
% 115.64/114.41  0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(fe_qual_int,X),Y))|X=Y.
% 115.64/114.41  0 [] X!=Y|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(fe_qual_int,X),Y)).
% 115.64/114.41  0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fe_qual_nat,X),Y))|X=Y.
% 115.64/114.41  0 [] X!=Y|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fe_qual_nat,X),Y)).
% 115.64/114.41  0 [] -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(fe_qual_rat,X),Y))|X=Y.
% 115.64/114.41  0 [] X!=Y|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(fe_qual_rat,X),Y)).
% 115.64/114.41  0 [] hAPP_real_real(hAPP_r1250527377l_real(hAPP_b646336293l_real(if_real,fTrue),X),Y)=X.
% 115.64/114.41  0 [] hAPP_real_real(hAPP_r1250527377l_real(hAPP_b646336293l_real(if_real,fFalse),X),Y)=Y.
% 115.64/114.41  0 [] -is_bool(P)|P=fTrue|P=fFalse.
% 115.64/114.41  0 [] hAPP_real_real(cOMBI_real,P)=P.
% 115.64/114.41  0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(fe_qual_real,X),Y))|X=Y.
% 115.64/114.41  0 [] X!=Y|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(fe_qual_real,X),Y)).
% 115.64/114.41  0 [] hAPP_nat_rat(cOMBK_rat_nat(P),Q)=P.
% 115.64/114.41  0 [] -is_bool(P)|hAPP_nat_bool(cOMBK_bool_nat(P),Q)=P.
% 115.64/114.41  0 [] hAPP_P1975530577nt_int(hAPP_P1145851913nt_int(hAPP_b40753821nt_int(if_Pro1731782967nt_int,fTrue),X),Y)=X.
% 115.64/114.41  0 [] hAPP_P1975530577nt_int(hAPP_P1145851913nt_int(hAPP_b40753821nt_int(if_Pro1731782967nt_int,fFalse),X),Y)=Y.
% 115.64/114.41  0 [] -is_bool(P)|P=fTrue|P=fFalse.
% 115.64/114.41  0 [] 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)).
% 115.64/114.41  0 [] 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)).
% 115.64/114.41  0 [] 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)).
% 115.64/114.41  0 [] 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)).
% 115.64/114.41  0 [] 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)).
% 115.64/114.41  0 [] 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).
% 115.64/114.41  0 [] 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).
% 115.64/114.41  0 [] 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).
% 115.64/114.41  0 [] 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).
% 115.64/114.41  0 [] 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)).
% 115.64/114.41  0 [] 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)).
% 115.64/114.41  0 [] hAPP_P1860904029l_real(hAPP_P1982799375l_real(hAPP_b1482221219l_real(if_Pro313124157l_real,fTrue),X),Y)=X.
% 115.64/114.41  0 [] hAPP_P1860904029l_real(hAPP_P1982799375l_real(hAPP_b1482221219l_real(if_Pro313124157l_real,fFalse),X),Y)=Y.
% 115.64/114.41  0 [] -is_bool(P)|P=fTrue|P=fFalse.
% 115.64/114.41  0 [] 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)).
% 115.64/114.41  0 [] 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)).
% 115.64/114.41  0 [] 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)).
% 115.64/114.41  0 [] 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)).
% 115.64/114.41  0 [] 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).
% 115.64/114.41  0 [] 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).
% 115.64/114.41  0 [] 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).
% 115.64/114.41  0 [] 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)).
% 115.64/114.41  0 [] 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)).
% 115.64/114.41  0 [] 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)).
% 115.64/114.41  0 [] 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)).
% 115.64/114.41  0 [] 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)).
% 115.64/114.41  0 [] 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)).
% 115.64/114.41  0 [] 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)).
% 115.64/114.41  0 [] 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)).
% 115.64/114.41  0 [] 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).
% 115.64/114.41  0 [] 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)).
% 115.64/114.41  0 [] 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)).
% 115.64/114.41  0 [] 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)).
% 115.64/114.41  0 [] 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).
% 115.64/114.41  0 [] 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).
% 115.64/114.41  0 [] hAPP_f957591787ol_nat(cOMBK_1643584600t_bool(P),Q)=P.
% 115.64/114.41  0 [] 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)).
% 115.64/114.41  0 [] 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)).
% 115.64/114.41  0 [] 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).
% 115.64/114.41  0 [] hAPP_nat_real(hAPP_f1290670424t_real(hAPP_f327026105t_real(cOMBB_722610049al_nat,P),Q),R)=hAPP_complex_real(P,hAPP_nat_complex(Q,R)).
% 115.64/114.41  0 [] hAPP_nat_complex(hAPP_f219720582omplex(hAPP_f1052840010omplex(cOMBS_696648398omplex,P),Q),R)=hAPP_real_complex(hAPP_n1983812447omplex(P,R),hAPP_nat_real(Q,R)).
% 115.64/114.41  0 [] 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)).
% 115.64/114.41  0 [] 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).
% 115.64/114.41  0 [] 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)).
% 115.64/114.41  0 [] hAPP_nat_complex(hAPP_f1646117269omplex(hAPP_f1457396693omplex(cOMBB_117013006ex_nat,P),Q),R)=hAPP_complex_complex(P,hAPP_nat_complex(Q,R)).
% 115.64/114.41  0 [] 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)).
% 115.64/114.41  0 [] 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)).
% 115.64/114.41  0 [] 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)).
% 115.64/114.41  0 [] 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)).
% 115.64/114.41  0 [] hAPP_P1175774780nt_int(hAPP_f521271395nt_int(hAPP_f11151005nt_int(cOMBB_47643171nt_int,P),Q),R)=hAPP_int_int(P,hAPP_P1175774780nt_int(Q,R)).
% 115.64/114.41  0 [] hAPP_i1948725293t_bool(hAPP_f1791153283t_bool(hAPP_f1399575567t_bool(cOMBB_118231410ol_int,P),Q),R)=hAPP_i1948725293t_bool(P,hAPP_int_int(Q,R)).
% 115.64/114.41  0 [] hAPP_i1524277240nt_int(hAPP_f883232462nt_int(hAPP_f2002277285nt_int(cOMBB_1846624359nt_int,P),Q),R)=hAPP_i1524277240nt_int(P,hAPP_int_int(Q,R)).
% 115.64/114.41  0 [] hAPP_n1699378549t_bool(hAPP_f618557131t_bool(hAPP_f1505651103t_bool(cOMBB_800536526ol_nat,P),Q),R)=hAPP_n1699378549t_bool(P,hAPP_nat_nat(Q,R)).
% 115.64/114.41  0 [] hAPP_i16292313t_bool(hAPP_f601898971t_bool(hAPP_f857296063t_bool(cOMBB_214503962ol_int,P),Q),R)=hAPP_r2115560837t_bool(P,hAPP_int_rat(Q,R)).
% 115.64/114.41  0 [] hAPP_i1948725293t_bool(hAPP_i345030060t_bool(hAPP_f791698359t_bool(cOMBC_241247961t_bool,P),Q),R)=hAPP_i1948725293t_bool(hAPP_i345030060t_bool(P,R),Q).
% 115.64/114.41  0 [] hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(hAPP_f465821005nt_int(cOMBC_1964283556nt_int,P),Q),R)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(P,R),Q).
% 115.64/114.41  0 [] hAPP_P1175774780nt_int(hAPP_i61245889nt_int(hAPP_f578362681nt_int(cOMBC_1417754532nt_int,P),Q),R)=hAPP_int_int(hAPP_P2110489235nt_int(P,R),Q).
% 115.64/114.41  0 [] 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)).
% 115.64/114.41  0 [] 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)).
% 115.64/114.41  0 [] hAPP_P603027463t_bool(hAPP_f892584630t_bool(hAPP_f492612297t_bool(cOMBB_798864284nt_int,P),Q),R)=hAPP_int_bool(P,hAPP_P1175774780nt_int(Q,R)).
% 115.64/114.41  0 [] hAPP_P603027463t_bool(hAPP_f1084724746t_bool(hAPP_f374502857t_bool(cOMBB_569260360nt_int,P),Q),R)=hAPP_rat_bool(P,hAPP_P1853363688nt_rat(Q,R)).
% 115.64/114.41  0 [] hAPP_int_bool(hAPP_f2119767738t_bool(hAPP_f423804115t_bool(cOMBB_1418110531ol_int,P),Q),R)=hAPP_f448129468l_bool(P,hAPP_i1948725293t_bool(Q,R)).
% 115.64/114.41  0 [] hAPP_int_bool(hAPP_f41603166t_bool(hAPP_f389116883t_bool(cOMBB_1593174431ol_int,P),Q),R)=hAPP_f54304608l_bool(P,hAPP_i418383825t_bool(Q,R)).
% 115.64/114.41  0 [] hAPP_int_bool(hAPP_f1805168059t_bool(hAPP_f202917053t_bool(cOMBC_94739984l_bool,P),Q),R)=hAPP_f448129468l_bool(hAPP_i2112223885l_bool(P,R),Q).
% 115.64/114.41  0 [] hAPP_nat_bool(hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,P),Q),R)=hAPP_f54304608l_bool(hAPP_n215258509l_bool(P,R),Q).
% 115.64/114.41  0 [] hAPP_P603027463t_bool(hAPP_i119638232t_bool(hAPP_f2018027565t_bool(cOMBC_33652895t_bool,P),Q),R)=hAPP_int_bool(hAPP_P252494982t_bool(P,R),Q).
% 115.64/114.41  0 [] 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)).
% 115.64/114.41  0 [] hAPP_P603027463t_bool(hAPP_f237669397t_bool(hAPP_f513299955t_bool(cOMBB_1344650379nt_int,P),Q),R)=hAPP_bool_bool(P,hAPP_P603027463t_bool(Q,R)).
% 115.64/114.41  0 [] hAPP_i68813070l_bool(hAPP_f2144054103l_bool(hAPP_f1734373249l_bool(cOMBB_1652995168ol_int,P),Q),R)=hAPP_b589554111l_bool(P,hAPP_int_bool(Q,R)).
% 115.64/114.41  0 [] hAPP_n1006566506l_bool(hAPP_f1146629647l_bool(hAPP_f1080886329l_bool(cOMBB_1015721476ol_nat,P),Q),R)=hAPP_b589554111l_bool(P,hAPP_nat_bool(Q,R)).
% 115.64/114.41  0 [] 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)).
% 115.64/114.41  0 [] hAPP_nat_real(hAPP_f292751352t_real(hAPP_f1607377819t_real(cOMBB_1533963633al_nat,P),Q),R)=hAPP_f1406902706l_real(P,hAPP_n1699378549t_bool(Q,R)).
% 115.64/114.41  0 [] hAPP_real_bool(hAPP_f101635158l_bool(hAPP_f1925507189l_bool(cOMBB_1121934354l_real,P),Q),R)=hAPP_f448129468l_bool(P,hAPP_r481142414t_bool(Q,R)).
% 115.64/114.41  0 [] hAPP_r1938957037l_bool(hAPP_f60716669l_bool(hAPP_f1485493409l_bool(cOMBB_624415285l_real,P),Q),R)=hAPP_b589554111l_bool(P,hAPP_real_bool(Q,R)).
% 115.64/114.41  0 [] hAPP_n546711566l_real(hAPP_f1904307534l_real(hAPP_f224989205l_real(cOMBB_1419615765al_nat,P),Q),R)=hAPP_n546711566l_real(P,hAPP_nat_nat(Q,R)).
% 115.64/114.41  0 [] hAPP_i688218208l_bool(hAPP_f801032407l_bool(hAPP_f499530369l_bool(cOMBB_1317819104ol_int,P),Q),R)=hAPP_r1134773055l_bool(P,hAPP_int_real(Q,R)).
% 115.64/114.41  0 [] hAPP_real_real(hAPP_f2119584768l_real(hAPP_f59594445l_real(cOMBC_2010481033l_real,P),Q),R)=hAPP_f1406902706l_real(hAPP_r1409264866l_real(P,R),Q).
% 115.64/114.41  0 [] hAPP_r474017924t_real(hAPP_f1407095736t_real(hAPP_f1796904975t_real(cOMBB_599996122l_real,P),Q),R)=hAPP_r474017924t_real(P,hAPP_real_real(Q,R)).
% 115.64/114.41  0 [] hAPP_i371647666l_real(hAPP_f1352333353l_real(hAPP_f318350629l_real(cOMBB_1946221070al_int,P),Q),R)=hAPP_r1250527377l_real(P,hAPP_int_real(Q,R)).
% 115.64/114.41  0 [] hAPP_n546711566l_real(hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,P),Q),R)=hAPP_r1250527377l_real(P,hAPP_nat_real(Q,R)).
% 115.64/114.41  0 [] hAPP_real_real(hAPP_f1122023986l_real(hAPP_f1786887945l_real(cOMBB_1896127834l_real,P),Q),R)=hAPP_f352196356l_real(P,hAPP_r474017924t_real(Q,R)).
% 115.64/114.41  0 [] hAPP_n546711566l_real(hAPP_r195310020l_real(hAPP_f2126667875l_real(cOMBC_746811033l_real,P),Q),R)=hAPP_r1250527377l_real(hAPP_n682674106l_real(P,R),Q).
% 115.64/114.41  0 [] 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)).
% 115.64/114.41  0 [] hAPP_r1134773055l_bool(hAPP_f1393328161l_bool(hAPP_f1900646853l_bool(cOMBB_430461877l_real,P),Q),R)=hAPP_r1134773055l_bool(P,hAPP_real_real(Q,R)).
% 115.64/114.41  0 [] hAPP_nat_real(hAPP_f73570213t_real(hAPP_f918606171t_real(cOMBB_64450052al_nat,P),Q),R)=hAPP_P731461727l_real(P,hAPP_n332733730l_real(Q,R)).
% 115.64/114.41  0 [] hAPP_real_bool(hAPP_f330985925l_bool(hAPP_f940061907l_bool(cOMBB_1795223523l_real,P),Q),R)=hAPP_P1333854989l_bool(P,hAPP_r1195171167l_real(Q,R)).
% 115.64/114.41  0 [] hAPP_n1983812447omplex(hAPP_f23851874omplex(hAPP_f406530075omplex(cOMBB_1714920583ex_nat,P),Q),R)=hAPP_r265291036omplex(P,hAPP_nat_real(Q,R)).
% 115.64/114.41  0 [] hAPP_r1250527377l_real(hAPP_f556082547l_real(hAPP_f1960414057l_real(cOMBB_882763271l_real,P),Q),R)=hAPP_r1250527377l_real(P,hAPP_real_real(Q,R)).
% 115.64/114.41  0 [] hAPP_r1250527377l_real(hAPP_r337325687l_real(hAPP_f1644353557l_real(cOMBC_1508019322l_real,P),Q),R)=hAPP_r1250527377l_real(hAPP_r337325687l_real(P,R),Q).
% 115.64/114.41  0 [] hAPP_r1195171167l_real(hAPP_f617735571l_real(hAPP_f800361423l_real(cOMBB_2107848501l_real,P),Q),R)=hAPP_r1195171167l_real(P,hAPP_real_real(Q,R)).
% 115.64/114.41  0 [] 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)).
% 115.64/114.41  0 [] 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).
% 115.64/114.41  0 [] 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)).
% 115.64/114.41  0 [] 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)).
% 115.64/114.41  0 [] hAPP_i1584592887nt_int(hAPP_f1574055885nt_int(hAPP_f2054677283nt_int(cOMBB_782625832nt_int,P),Q),R)=hAPP_i1584592887nt_int(P,hAPP_int_int(Q,R)).
% 115.64/114.41  0 [] hAPP_n1865633855at_nat(hAPP_f837737749at_nat(hAPP_f999082675at_nat(cOMBB_348438404at_nat,P),Q),R)=hAPP_n1865633855at_nat(P,hAPP_nat_nat(Q,R)).
% 115.64/114.41  0 [] 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)).
% 115.64/114.41  0 [] hAPP_i1948725293t_bool(hAPP_f1791153283t_bool(hAPP_f735247205t_bool(cOMBC_983868720t_bool,P),Q),R)=hAPP_f429935748t_bool(hAPP_i872162435t_bool(P,R),Q).
% 115.64/114.41  0 [] 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)).
% 115.64/114.41  0 [] hAPP_P252494982t_bool(hAPP_f291087797t_bool(hAPP_f214467655t_bool(cOMBB_182850971nt_int,P),Q),R)=hAPP_i1948725293t_bool(P,hAPP_P1175774780nt_int(Q,R)).
% 115.64/114.41  0 [] hAPP_n215258509l_bool(hAPP_f66927821l_bool(hAPP_f2037783381l_bool(cOMBB_1146692694ol_nat,P),Q),R)=hAPP_n215258509l_bool(P,hAPP_nat_nat(Q,R)).
% 115.64/114.41  0 [] hAPP_i1948725293t_bool(hAPP_f428220345t_bool(hAPP_f654702867t_bool(cOMBB_591320580ol_int,P),Q),R)=hAPP_f1805168059t_bool(P,hAPP_i1948725293t_bool(Q,R)).
% 115.64/114.41  0 [] hAPP_i1524277240nt_int(hAPP_f1735705551nt_int(hAPP_f151095827nt_int(cOMBB_1389251822nt_int,P),Q),R)=hAPP_P1975530577nt_int(P,hAPP_i1524277240nt_int(Q,R)).
% 115.64/114.41  0 [] hAPP_i1948725293t_bool(hAPP_f1048215610t_bool(hAPP_f472159229t_bool(cOMBC_1683390479t_bool,P),Q),R)=hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(P,R),Q).
% 115.64/114.41  0 [] hAPP_i418383825t_bool(hAPP_f289318786t_bool(hAPP_f729588221t_bool(cOMBC_678732631t_bool,P),Q),R)=hAPP_f800510211t_bool(hAPP_i1796122964t_bool(P,R),Q).
% 115.64/114.41  0 [] 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)).
% 115.64/114.41  0 [] 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)).
% 115.64/114.41  0 [] hAPP_P921862901l_bool(hAPP_f365317245l_bool(hAPP_f1961001761l_bool(cOMBB_1550063917nt_int,P),Q),R)=hAPP_b589554111l_bool(P,hAPP_P603027463t_bool(Q,R)).
% 115.64/114.41  0 [] hAPP_i1948725293t_bool(hAPP_f351634443t_bool(hAPP_f1576199059t_bool(cOMBB_95956018ol_int,P),Q),R)=hAPP_f429384717t_bool(P,hAPP_i627165055t_real(Q,R)).
% 115.64/114.41  0 [] hAPP_i418383825t_bool(hAPP_f1222178131t_bool(hAPP_f743790483t_bool(cOMBB_1647910634ol_int,P),Q),R)=hAPP_f737665877t_bool(P,hAPP_i157317923t_real(Q,R)).
% 115.64/114.41  0 [] hAPP_i627165055t_real(hAPP_f1323932638t_real(hAPP_f352226557t_real(cOMBC_824100275t_real,P),Q),R)=hAPP_f269654879t_real(hAPP_i1671359920t_real(P,R),Q).
% 115.64/114.41  0 [] hAPP_i157317923t_real(hAPP_f1613846310t_real(hAPP_f1720068861t_real(cOMBC_295337211t_real,P),Q),R)=hAPP_f1888375463t_real(hAPP_i447943416t_real(P,R),Q).
% 115.64/114.41  0 [] hAPP_r474017924t_real(hAPP_f1501741374t_real(hAPP_f1135648319t_real(cOMBC_1329014627t_real,P),Q),R)=hAPP_f1676298106t_real(hAPP_r50993370t_real(P,R),Q).
% 115.64/114.41  0 [] hAPP_r474017924t_real(hAPP_f1993765077t_real(hAPP_f895854793t_real(cOMBB_1948233853l_real,P),Q),R)=hAPP_f1888375463t_real(P,hAPP_r474017924t_real(Q,R)).
% 115.64/114.41  0 [] hAPP_n682674106l_real(hAPP_f1129044203l_real(hAPP_f264196187l_real(cOMBB_1480366270al_nat,P),Q),R)=hAPP_b646336293l_real(P,hAPP_nat_bool(Q,R)).
% 115.64/114.41  0 [] hAPP_r2019696015l_real(hAPP_f1591894897l_real(hAPP_f2114902373l_real(cOMBB_237479429l_real,P),Q),R)=hAPP_r2019696015l_real(P,hAPP_real_real(Q,R)).
% 115.64/114.41  0 [] 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)).
% 115.64/114.41  0 [] hAPP_i1584592887nt_int(hAPP_f1574055885nt_int(hAPP_f960630521nt_int(cOMBC_1805044090nt_int,P),Q),R)=hAPP_f883232462nt_int(hAPP_i998473677nt_int(P,R),Q).
% 115.64/114.41  0 [] 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)).
% 115.64/114.41  0 [] hAPP_P1668131738nt_int(hAPP_f167782601nt_int(hAPP_f400538607nt_int(cOMBB_866192175nt_int,P),Q),R)=hAPP_i61245889nt_int(P,hAPP_P1175774780nt_int(Q,R)).
% 115.64/114.41  0 [] hAPP_i1823918693l_bool(hAPP_f1344929775l_bool(hAPP_f1830214065l_bool(cOMBB_793166024ol_int,P),Q),R)=hAPP_f2144054103l_bool(P,hAPP_i1948725293t_bool(Q,R)).
% 115.64/114.41  0 [] hAPP_i614188481l_bool(hAPP_f252743847l_bool(hAPP_f643658017l_bool(cOMBB_2046938128ol_int,P),Q),R)=hAPP_f1146629647l_bool(P,hAPP_i418383825t_bool(Q,R)).
% 115.64/114.41  0 [] hAPP_r481142414t_bool(hAPP_f1625314454t_bool(hAPP_f340152631t_bool(cOMBB_1453147152l_real,P),Q),R)=hAPP_f2119767738t_bool(P,hAPP_r632163725t_bool(Q,R)).
% 115.64/114.41  0 [] hAPP_r481142414t_bool(hAPP_f1341793266t_bool(hAPP_f571820015t_bool(cOMBB_1159313332l_real,P),Q),R)=hAPP_f41603166t_bool(P,hAPP_r373117745t_bool(Q,R)).
% 115.64/114.41  0 [] hAPP_r632163725t_bool(hAPP_f1832844496t_bool(hAPP_f1990636069t_bool(cOMBC_412863505t_bool,P),Q),R)=hAPP_f1048215610t_bool(hAPP_r1623423338t_bool(P,R),Q).
% 115.64/114.41  0 [] hAPP_r373117745t_bool(hAPP_f1115375056t_bool(hAPP_f271976045t_bool(cOMBC_1801450329t_bool,P),Q),R)=hAPP_f289318786t_bool(hAPP_r653725362t_bool(P,R),Q).
% 115.64/114.41  0 [] hAPP_r1409264866l_real(hAPP_f1523861863l_real(hAPP_f1067681227l_real(cOMBB_1934313333l_real,P),Q),R)=hAPP_f1509287679l_real(P,hAPP_r474017924t_real(Q,R)).
% 115.64/114.41  0 [] 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)).
% 115.64/114.41  0 [] 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)).
% 115.64/114.41  0 [] hAPP_r1134773055l_bool(hAPP_f1884005689l_bool(hAPP_f172451459l_bool(cOMBB_421479067l_real,P),Q),R)=hAPP_f330985925l_bool(P,hAPP_r2019696015l_real(Q,R)).
% 115.64/114.41  0 [] hAPP_i872162435t_bool(hAPP_f1251097615t_bool(hAPP_f1475822739t_bool(cOMBB_2027861294ol_int,P),Q),R)=hAPP_f1512942609t_bool(P,hAPP_i1948725293t_bool(Q,R)).
% 115.64/114.41  0 [] hAPP_i345030060t_bool(hAPP_f791698359t_bool(hAPP_f847817363t_bool(cOMBB_562416518ol_int,P),Q),R)=hAPP_f428220345t_bool(P,hAPP_i345030060t_bool(Q,R)).
% 115.64/114.41  0 [] 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)).
% 115.64/114.41  0 [] hAPP_i1216375074nt_int(hAPP_P621635040nt_int(hAPP_f1582586579nt_int(cOMBC_707974837nt_int,P),Q),R)=hAPP_P1145851913nt_int(hAPP_i2104874254nt_int(P,R),Q).
% 115.64/114.41  0 [] 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)).
% 115.64/114.41  0 [] hAPP_i1529485324t_bool(hAPP_f1315737299t_bool(hAPP_f538565589t_bool(cOMBB_1211207212ol_int,P),Q),R)=hAPP_f627970963t_bool(P,hAPP_i68813070l_bool(Q,R)).
% 115.64/114.41  0 [] hAPP_r337325687l_real(hAPP_f1732848529l_real(hAPP_f1310479593l_real(cOMBB_2092576745l_real,P),Q),R)=hAPP_f556082547l_real(P,hAPP_r1250527377l_real(Q,R)).
% 115.64/114.41  0 [] hAPP_r2019696015l_real(hAPP_f1591894897l_real(hAPP_f644105375l_real(cOMBC_467724138l_real,P),Q),R)=hAPP_f617735571l_real(hAPP_r712953929l_real(P,R),Q).
% 115.64/114.41  0 [] 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)).
% 115.64/114.41  0 [] hAPP_r632163725t_bool(hAPP_f956464319t_bool(hAPP_f422375781t_bool(cOMBC_243356514t_bool,P),Q),R)=hAPP_f351634443t_bool(hAPP_r1392521531t_bool(P,R),Q).
% 115.64/114.41  0 [] hAPP_r373117745t_bool(hAPP_f1459420095t_bool(hAPP_f693283245t_bool(cOMBC_1113900202t_bool,P),Q),R)=hAPP_f1222178131t_bool(hAPP_r2052264067t_bool(P,R),Q).
% 115.64/114.41  0 [] hAPP_r50993370t_real(hAPP_f1163894827t_real(hAPP_f1998755145t_real(cOMBB_421464275l_real,P),Q),R)=hAPP_f1566856189t_real(P,hAPP_r474017924t_real(Q,R)).
% 115.64/114.41  0 [] hAPP_r847664445t_bool(hAPP_f1920544743t_bool(hAPP_f866672739t_bool(cOMBB_1247074793l_real,P),Q),R)=hAPP_f1173902867t_bool(P,hAPP_r1134773055l_bool(Q,R)).
% 115.64/114.41  0 [] hAPP_r279757445t_bool(hAPP_f1840085295t_bool(hAPP_f1083049571t_bool(cOMBB_2050079537l_real,P),Q),R)=hAPP_f605995867t_bool(P,hAPP_r1134773055l_bool(Q,R)).
% 115.64/114.41  0 [] hAPP_i1671359920t_real(hAPP_f74147283t_real(hAPP_f1169087445t_real(cOMBB_2129825580al_int,P),Q),R)=hAPP_f766218899t_real(P,hAPP_i371647666l_real(Q,R)).
% 115.64/114.41  0 [] hAPP_i447943416t_real(hAPP_f1295083291t_real(hAPP_f212164053t_real(cOMBB_929094628al_int,P),Q),R)=hAPP_f1690286043t_real(P,hAPP_i371647666l_real(Q,R)).
% 115.64/114.41  0 [] hAPP_i1153444985nt_int(hAPP_f1148171384nt_int(hAPP_f334321603nt_int(cOMBB_1484610687nt_int,P),Q),R)=hAPP_P621635040nt_int(P,hAPP_i1524277240nt_int(Q,R)).
% 115.64/114.41  0 [] hAPP_P1668131738nt_int(hAPP_f167782601nt_int(hAPP_f1769710159nt_int(cOMBC_2037038898nt_int,P),Q),R)=hAPP_f521271395nt_int(hAPP_P752050971nt_int(P,R),Q).
% 115.64/114.41  0 [] hAPP_i2104874254nt_int(hAPP_f251264923nt_int(hAPP_f279307923nt_int(cOMBB_662120866nt_int,P),Q),R)=hAPP_b40753821nt_int(P,hAPP_int_bool(Q,R)).
% 115.64/114.41  0 [] hAPP_i1529485324t_bool(hAPP_f1545556668t_bool(hAPP_f85237525t_bool(cOMBB_389152643ol_int,P),Q),R)=hAPP_f727283836t_bool(P,hAPP_i1823918693l_bool(Q,R)).
% 115.64/114.41  0 [] hAPP_i1796122964t_bool(hAPP_f1902329768t_bool(hAPP_f1182713365t_bool(cOMBB_2087181719ol_int,P),Q),R)=hAPP_f561022312t_bool(P,hAPP_i614188481l_bool(Q,R)).
% 115.64/114.41  0 [] 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)).
% 115.64/114.41  0 [] hAPP_P989584703t_bool(hAPP_f1781059817t_bool(hAPP_f326728547t_bool(cOMBB_2086486755nt_int,P),Q),R)=hAPP_f237669397t_bool(P,hAPP_P989584703t_bool(Q,R)).
% 115.64/114.41  0 [] 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)).
% 115.64/114.41  0 [] hAPP_r1150855451l_bool(hAPP_f381769257l_bool(hAPP_f512004221l_bool(cOMBB_188663909l_real,P),Q),R)=hAPP_f1344929775l_bool(P,hAPP_r632163725t_bool(Q,R)).
% 115.64/114.41  0 [] hAPP_r285062775l_bool(hAPP_f834119977l_bool(hAPP_f848516149l_bool(cOMBB_270132509l_real,P),Q),R)=hAPP_f252743847l_bool(P,hAPP_r373117745t_bool(Q,R)).
% 115.64/114.41  0 [] hAPP_r337325687l_real(hAPP_f1644353557l_real(hAPP_f1874145443l_real(cOMBB_1768400739l_real,P),Q),R)=hAPP_f203520653l_real(P,hAPP_r337325687l_real(Q,R)).
% 115.64/114.41  0 [] hAPP_r579619957l_real(hAPP_f823702159l_real(hAPP_f1040184293l_real(cOMBB_557258983l_real,P),Q),R)=hAPP_f1591894897l_real(P,hAPP_r1250527377l_real(Q,R)).
% 115.64/114.41  0 [] 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)).
% 115.64/114.41  0 [] 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)).
% 115.64/114.41  0 [] hAPP_i1778081398nt_int(hAPP_f2094497995nt_int(hAPP_f534361363nt_int(cOMBB_1657320178nt_int,P),Q),R)=hAPP_f465821005nt_int(P,hAPP_i1778081398nt_int(Q,R)).
% 115.64/114.41  0 [] hAPP_i998473677nt_int(hAPP_f142232355nt_int(hAPP_f1377453843nt_int(cOMBB_320287386nt_int,P),Q),R)=hAPP_f2002277285nt_int(P,hAPP_i1584592887nt_int(Q,R)).
% 115.64/114.41  0 [] hAPP_i1153444985nt_int(hAPP_f55007289nt_int(hAPP_f747475781nt_int(cOMBB_222539774nt_int,P),Q),R)=hAPP_f1375227553nt_int(P,hAPP_i1584592887nt_int(Q,R)).
% 115.64/114.41  0 [] hAPP_P2053772734t_bool(hAPP_f1198736473t_bool(hAPP_f2042071795t_bool(cOMBB_773384995nt_int,P),Q),R)=hAPP_f291087797t_bool(P,hAPP_P1668131738nt_int(Q,R)).
% 115.64/114.41  0 [] hAPP_r931665397l_real(hAPP_f1607917947l_real(hAPP_f1076489843l_real(cOMBB_415306361l_real,P),Q),R)=hAPP_b1482221219l_real(P,hAPP_real_bool(Q,R)).
% 115.64/114.41  0 [] hAPP_P752050971nt_int(hAPP_f301246617nt_int(hAPP_f1151807883nt_int(cOMBB_563965291nt_int,P),Q),R)=hAPP_f11151005nt_int(P,hAPP_P2110489235nt_int(Q,R)).
% 115.64/114.41  0 [] hAPP_P877703507t_bool(hAPP_f1965248563t_bool(hAPP_f1273270095t_bool(cOMBB_595786433nt_int,P),Q),R)=hAPP_f513299955t_bool(P,hAPP_P921862901l_bool(Q,R)).
% 115.64/114.41  0 [] hAPP_r1962736578t_bool(hAPP_f1063001928t_bool(hAPP_f2050994651t_bool(cOMBB_2138578194l_real,P),Q),R)=hAPP_f1545556668t_bool(P,hAPP_r1150855451l_bool(Q,R)).
% 115.64/114.41  0 [] hAPP_r1562208522t_bool(hAPP_f2084827628t_bool(hAPP_f1121609875t_bool(cOMBB_2125215742l_real,P),Q),R)=hAPP_f1902329768t_bool(P,hAPP_r285062775l_bool(Q,R)).
% 115.64/114.41  0 [] hAPP_r712953929l_real(hAPP_f1119546819l_real(hAPP_f555557763l_real(cOMBB_422423973l_real,P),Q),R)=hAPP_f800361423l_real(P,hAPP_r2019696015l_real(Q,R)).
% 115.64/114.41  0 [] 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)).
% 115.64/114.41  0 [] hAPP_i1836591008nt_int(hAPP_f400200275nt_int(hAPP_f1731308757nt_int(cOMBB_735549356nt_int,P),Q),R)=hAPP_f151095827nt_int(P,hAPP_i1216375074nt_int(Q,R)).
% 115.64/114.41  0 [] hAPP_r1623423338t_bool(hAPP_f704188951t_bool(hAPP_f1456711209t_bool(cOMBB_690122963l_real,P),Q),R)=hAPP_f472159229t_bool(P,hAPP_r1962736578t_bool(Q,R)).
% 115.64/114.41  0 [] hAPP_r653725362t_bool(hAPP_f1927674023t_bool(hAPP_f1261108921t_bool(cOMBB_172850899l_real,P),Q),R)=hAPP_f729588221t_bool(P,hAPP_r1562208522t_bool(Q,R)).
% 115.64/114.41  0 [] hAPP_r1392521531t_bool(hAPP_f332806115t_bool(hAPP_f1177545951t_bool(cOMBB_1459832681l_real,P),Q),R)=hAPP_f1576199059t_bool(P,hAPP_r847664445t_bool(Q,R)).
% 115.64/114.41  0 [] hAPP_r2052264067t_bool(hAPP_f77155443t_bool(hAPP_f403082607t_bool(cOMBB_984071017l_real,P),Q),R)=hAPP_f743790483t_bool(P,hAPP_r279757445t_bool(Q,R)).
% 115.64/114.41  0 [] hAPP_r794344869l_real(hAPP_f517738447l_real(hAPP_f1879982819l_real(cOMBB_731595089l_real,P),Q),R)=hAPP_f1607917947l_real(P,hAPP_r1134773055l_bool(Q,R)).
% 115.64/114.41  0 [] hAPP_r712953929l_real(hAPP_f1108539711l_real(hAPP_f1109256153l_real(cOMBB_44084907l_real,P),Q),R)=hAPP_f1730463541l_real(P,hAPP_r579619957l_real(Q,R)).
% 115.64/114.41  0 [] hAPP_i1836591008nt_int(hAPP_f617310012nt_int(hAPP_f197974549nt_int(cOMBB_638531587nt_int,P),Q),R)=hAPP_f713949180nt_int(P,hAPP_i1153444985nt_int(Q,R)).
% 115.64/114.41  0 [] hAPP_P1400155668t_bool(hAPP_f223623489t_bool(hAPP_f1815301987t_bool(cOMBB_650041899nt_int,P),Q),R)=hAPP_f1325804733t_bool(P,hAPP_P2053772734t_bool(Q,R)).
% 115.64/114.41  0 [] hAPP_r224952523l_real(hAPP_f1663701695l_real(hAPP_f774948957l_real(cOMBB_3698607l_real,P),Q),R)=hAPP_f1908301369l_real(P,hAPP_r1230691443l_real(Q,R)).
% 115.64/114.41  0 [] hAPP_r1043989325l_real(hAPP_f1161935955l_real(hAPP_f328572565l_real(cOMBB_520243667l_real,P),Q),R)=hAPP_f183342685l_real(P,hAPP_r794344869l_real(Q,R)).
% 115.64/114.41  0 [] 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),b))),hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,p),q)))!=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),p)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,b),q))),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,a),q)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,b),p)))).
% 115.64/114.41  end_of_list.
% 115.64/114.41  
% 115.64/114.41  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=12.
% 115.64/114.41  
% 115.64/114.41  This ia a non-Horn set with equality.  The strategy will be
% 115.64/114.41  Knuth-Bendix, ordered hyper_res, factoring, and unit
% 115.64/114.41  deletion, with positive clauses in sos and nonpositive
% 115.64/114.41  clauses in usable.
% 115.64/114.41  
% 115.64/114.41     dependent: set(knuth_bendix).
% 115.64/114.41     dependent: set(anl_eq).
% 115.64/114.41     dependent: set(para_from).
% 115.64/114.41     dependent: set(para_into).
% 115.64/114.41     dependent: clear(para_from_right).
% 115.64/114.41     dependent: clear(para_into_right).
% 115.64/114.41     dependent: set(para_from_vars).
% 115.64/114.41     dependent: set(eq_units_both_ways).
% 115.64/114.41     dependent: set(dynamic_demod_all).
% 115.64/114.41     dependent: set(dynamic_demod).
% 115.64/114.41     dependent: set(order_eq).
% 115.64/114.41     dependent: set(back_demod).
% 115.64/114.41     dependent: set(lrpo).
% 115.64/114.41     dependent: set(hyper_res).
% 115.64/114.41     dependent: set(unit_deletion).
% 115.64/114.41     dependent: set(factor).
% 115.64/114.41  
% 115.64/114.41  ------------> process usable:
% 115.64/114.41  ** KEPT (pick-wt=8): 1 [] -is_bool(A)| -is_bool(B)|is_bool(fdisj(A,B)).
% 115.64/114.41  ** KEPT (pick-wt=6): 2 [] -is_bool(A)|is_bool(hAPP_bool_bool(B,A)).
% 115.64/114.41  ** KEPT (pick-wt=34): 3 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A),B)),C)!=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,D),B)),E)|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,D),A)),B)),E).
% 115.64/114.41  ** KEPT (pick-wt=34): 4 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A),B)),C)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,D),B)),E)|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,D),A)),B)),E).
% 115.64/114.41  ** KEPT (pick-wt=34): 5 [] hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A),B)),C)!=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,D),B)),E)|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,D),A)),B)),E).
% 115.64/114.41  ** KEPT (pick-wt=34): 6 [] hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A),B)),C)=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,D),B)),E)|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,D),A)),B)),E).
% 115.64/114.41  ** KEPT (pick-wt=34): 7 [] hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),B)),C)!=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,D),B)),E)|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,D),A)),B)),E).
% 115.64/114.41  ** KEPT (pick-wt=34): 8 [] hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),B)),C)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,D),B)),E)|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,D),A)),B)),E).
% 115.64/114.41  ** KEPT (pick-wt=34): 9 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),B)),C)!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,D),B)),E)|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,D),A)),B)),E).
% 115.64/114.41  ** KEPT (pick-wt=34): 10 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),B)),C)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,D),B)),E)|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,D),A)),B)),E).
% 115.64/114.41  ** KEPT (pick-wt=34): 11 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A),B)),C)!=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,D),B)),E)|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),D)),B)),C)=E.
% 115.64/114.41  ** KEPT (pick-wt=34): 12 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A),B)),C)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,D),B)),E)|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),D)),B)),C)!=E.
% 115.64/114.41  ** KEPT (pick-wt=34): 13 [] hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A),B)),C)!=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,D),B)),E)|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),D)),B)),C)=E.
% 115.64/114.41  ** KEPT (pick-wt=34): 14 [] hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A),B)),C)=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,D),B)),E)|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),D)),B)),C)!=E.
% 115.64/114.41  ** KEPT (pick-wt=34): 15 [] hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),B)),C)!=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,D),B)),E)|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),D)),B)),C)=E.
% 115.64/114.41  ** KEPT (pick-wt=34): 16 [] hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),B)),C)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,D),B)),E)|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),D)),B)),C)!=E.
% 115.64/114.41  ** KEPT (pick-wt=34): 17 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),B)),C)!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,D),B)),E)|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),D)),B)),C)=E.
% 115.64/114.41  ** KEPT (pick-wt=34): 18 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),B)),C)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,D),B)),E)|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),D)),B)),C)!=E.
% 115.64/114.41  ** KEPT (pick-wt=15): 19 [] -hBOOL(hAPP_int_bool(twoSqu1770640450sum2sq,A))|hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,$f2(A)),$f1(A)))=A.
% 115.64/114.41  ** KEPT (pick-wt=13): 20 [] hBOOL(hAPP_int_bool(twoSqu1770640450sum2sq,A))|hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,B),C))!=A.
% 115.64/114.41  ** KEPT (pick-wt=14): 21 [] hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A),B)!=C|A=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C),B).
% 115.64/114.41  ** KEPT (pick-wt=14): 22 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A),B)!=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C),B)|A=C.
% 115.64/114.41  ** KEPT (pick-wt=14): 23 [] hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A),B)!=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C),B)|A=C.
% 115.64/114.41  ** KEPT (pick-wt=14): 24 [] hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A),B)!=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,C),B)|A=C.
% 115.64/114.41  ** KEPT (pick-wt=14): 25 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C),B)|A=C.
% 115.64/114.41  ** KEPT (pick-wt=14): 26 [] hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A),B)!=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C),B)|A=C.
% 115.64/114.41  ** KEPT (pick-wt=14): 27 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),B)!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C),B)|A=C.
% 115.64/114.41  ** KEPT (pick-wt=14): 28 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A),B)!=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A),C)|B=C.
% 115.64/114.41  ** KEPT (pick-wt=14): 29 [] hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A),B)!=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A),C)|B=C.
% 115.64/114.41  ** KEPT (pick-wt=14): 30 [] hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A),B)!=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A),C)|B=C.
% 115.64/114.41  ** KEPT (pick-wt=14): 31 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),C)|B=C.
% 115.64/114.41  ** KEPT (pick-wt=14): 32 [] hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A),B)!=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A),C)|B=C.
% 115.64/114.41  ** KEPT (pick-wt=14): 33 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),B)!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),C)|B=C.
% 115.64/114.41    Following clause subsumed by 28 during input processing: 0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A),B)!=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A),C)|B=C.
% 115.64/114.41    Following clause subsumed by 29 during input processing: 0 [] hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A),B)!=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A),C)|B=C.
% 115.64/114.41    Following clause subsumed by 30 during input processing: 0 [] hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A),B)!=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A),C)|B=C.
% 115.64/114.42    Following clause subsumed by 31 during input processing: 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),C)|B=C.
% 115.64/114.42    Following clause subsumed by 32 during input processing: 0 [] hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A),B)!=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A),C)|B=C.
% 115.64/114.42    Following clause subsumed by 33 during input processing: 0 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),B)!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),C)|B=C.
% 115.64/114.42    Following clause subsumed by 22 during input processing: 0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A),B)!=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C),B)|A=C.
% 115.64/114.42  ** KEPT (pick-wt=14): 34 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A),B)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C),B)|A!=C.
% 115.64/114.42    Following clause subsumed by 23 during input processing: 0 [] hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A),B)!=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C),B)|A=C.
% 115.64/114.42  ** KEPT (pick-wt=14): 35 [] hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A),B)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C),B)|A!=C.
% 115.64/114.42    Following clause subsumed by 24 during input processing: 0 [] hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A),B)!=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,C),B)|A=C.
% 115.64/114.42  ** KEPT (pick-wt=14): 36 [] hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A),B)=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,C),B)|A!=C.
% 115.64/114.42    Following clause subsumed by 25 during input processing: 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C),B)|A=C.
% 115.64/114.42  ** KEPT (pick-wt=14): 37 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C),B)|A!=C.
% 115.64/114.42    Following clause subsumed by 26 during input processing: 0 [] hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A),B)!=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C),B)|A=C.
% 115.64/114.42  ** KEPT (pick-wt=14): 38 [] hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A),B)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C),B)|A!=C.
% 115.64/114.42    Following clause subsumed by 27 during input processing: 0 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),B)!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C),B)|A=C.
% 115.64/114.42  ** KEPT (pick-wt=14): 39 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),B)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C),B)|A!=C.
% 115.64/114.42    Following clause subsumed by 28 during input processing: 0 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A),B)!=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A),C)|B=C.
% 115.64/114.42  ** KEPT (pick-wt=14): 40 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A),B)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A),C)|B!=C.
% 115.64/114.42    Following clause subsumed by 29 during input processing: 0 [] hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A),B)!=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A),C)|B=C.
% 115.64/114.42  ** KEPT (pick-wt=14): 41 [] hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A),B)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A),C)|B!=C.
% 115.64/114.42    Following clause subsumed by 30 during input processing: 0 [] hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A),B)!=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A),C)|B=C.
% 115.64/114.42  ** KEPT (pick-wt=14): 42 [] hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A),B)=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A),C)|B!=C.
% 115.64/114.42    Following clause subsumed by 31 during input processing: 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),C)|B=C.
% 115.64/114.42  ** KEPT (pick-wt=14): 43 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),C)|B!=C.
% 115.64/114.42    Following clause subsumed by 32 during input processing: 0 [] hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A),B)!=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A),C)|B=C.
% 115.64/114.42  ** KEPT (pick-wt=14): 44 [] hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A),B)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A),C)|B!=C.
% 115.64/114.42    Following clause subsumed by 33 during input processing: 0 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),B)!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),C)|B=C.
% 115.64/114.42  ** KEPT (pick-wt=14): 45 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),B)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),C)|B!=C.
% 115.64/114.42  ** KEPT (pick-wt=17): 46 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,A),B)!=hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,C),D)|A!=B|C=D.
% 115.64/114.42  ** KEPT (pick-wt=17): 47 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,A),B)!=hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,C),D)|A=B|C!=D.
% 115.64/114.42  ** KEPT (pick-wt=17): 48 [] hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,A),B)!=hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,C),D)|A!=B|C=D.
% 115.64/114.42  ** KEPT (pick-wt=17): 49 [] hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,A),B)!=hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,C),D)|A=B|C!=D.
% 115.64/114.42  ** KEPT (pick-wt=17): 50 [] hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,A),B)!=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,C),D)|A!=B|C=D.
% 115.64/114.42  ** KEPT (pick-wt=17): 51 [] hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,A),B)!=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,C),D)|A=B|C!=D.
% 115.64/114.42  ** KEPT (pick-wt=17): 52 [] hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A),B)!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,C),D)|A!=B|C=D.
% 115.64/114.42  ** KEPT (pick-wt=17): 53 [] hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A),B)!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,C),D)|A=B|C!=D.
% 115.64/114.42  ** KEPT (pick-wt=33): 54 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A),B)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C),D))!=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A),D)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C),B))|A=C|B=D.
% 115.64/114.42  ** KEPT (pick-wt=30): 55 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A),B)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C),D))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A),D)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C),B))|A!=C.
% 115.64/114.42  ** KEPT (pick-wt=30): 56 [] hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A),B)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C),D))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A),D)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C),B))|B!=D.
% 115.64/114.42  ** KEPT (pick-wt=33): 57 [] hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A),B)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,C),D))!=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A),D)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,C),B))|A=C|B=D.
% 115.64/114.42  ** KEPT (pick-wt=30): 58 [] hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A),B)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,C),D))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A),D)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,C),B))|A!=C.
% 115.64/114.42  ** KEPT (pick-wt=30): 59 [] hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A),B)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,C),D))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A),D)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,C),B))|B!=D.
% 115.64/114.42  ** KEPT (pick-wt=33): 60 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),B)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C),D))!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),D)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C),B))|A=C|B=D.
% 115.64/114.42  ** KEPT (pick-wt=30): 61 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),B)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C),D))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),D)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C),B))|A!=C.
% 115.64/114.42  ** KEPT (pick-wt=30): 62 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),B)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C),D))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),D)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C),B))|B!=D.
% 115.64/114.42  ** KEPT (pick-wt=33): 63 [] hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),B)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C),D))!=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),D)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C),B))|A=C|B=D.
% 115.64/114.42  ** KEPT (pick-wt=30): 64 [] hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),B)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C),D))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),D)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C),B))|A!=C.
% 115.64/114.42  ** KEPT (pick-wt=30): 65 [] hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),B)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C),D))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),D)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C),B))|B!=D.
% 115.64/114.42  ** KEPT (pick-wt=33): 66 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),B)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),D))!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),D)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),B))|A=C|B=D.
% 115.64/114.42  ** KEPT (pick-wt=30): 67 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),B)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),D))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),D)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),B))|A!=C.
% 115.64/114.42  ** KEPT (pick-wt=30): 68 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),B)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),D))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),D)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),B))|B!=D.
% 115.64/114.42    Following clause subsumed by 54 during input processing: 0 [] A=B|C=D|hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A),C)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B),D))!=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A),D)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B),C)).
% 115.64/114.42    Following clause subsumed by 55 during input processing: 0 [] A!=B|hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A),C)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B),D))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A),D)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B),C)).
% 115.64/114.42    Following clause subsumed by 56 during input processing: 0 [] A!=B|hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C),A)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,D),B))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C),B)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,D),A)).
% 115.64/114.42    Following clause subsumed by 57 during input processing: 0 [] A=B|C=D|hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A),C)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,B),D))!=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A),D)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,B),C)).
% 115.64/114.42    Following clause subsumed by 58 during input processing: 0 [] A!=B|hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A),C)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,B),D))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A),D)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,B),C)).
% 115.64/114.42    Following clause subsumed by 59 during input processing: 0 [] A!=B|hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,C),A)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,D),B))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,C),B)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,D),A)).
% 115.64/114.42    Following clause subsumed by 60 during input processing: 0 [] A=B|C=D|hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),C)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B),D))!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),D)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B),C)).
% 115.64/114.42    Following clause subsumed by 61 during input processing: 0 [] A!=B|hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),C)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B),D))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),D)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B),C)).
% 115.64/114.42    Following clause subsumed by 62 during input processing: 0 [] A!=B|hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C),A)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,D),B))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C),B)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,D),A)).
% 115.64/114.42    Following clause subsumed by 63 during input processing: 0 [] A=B|C=D|hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),C)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B),D))!=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),D)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B),C)).
% 115.64/114.42    Following clause subsumed by 64 during input processing: 0 [] A!=B|hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),C)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B),D))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),D)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B),
% 115.64/114.42  Search stopped in tp_alloc by max_mem option.
% 115.64/114.42  C)).
% 115.64/114.42    Following clause subsumed by 65 during input processing: 0 [] A!=B|hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C),A)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,D),B))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C),B)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,D),A)).
% 115.64/114.42    Following clause subsumed by 66 during input processing: 0 [] A=B|C=D|hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),C)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B),D))!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),D)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B),C)).
% 115.64/114.42    Following clause subsumed by 67 during input processing: 0 [] A!=B|hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),C)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B),D))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),D)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B),C)).
% 115.64/114.42    Following clause subsumed by 68 during input processing: 0 [] A!=B|hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),A)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,D),B))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),B)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,D),A)).
% 115.64/114.42  ** KEPT (pick-wt=14): 69 [] hAPP_f538843494t_bool(hAPP_f1418982953t_bool(produc713279741t_bool,A),B)!=hAPP_f538843494t_bool(hAPP_f1418982953t_bool(produc713279741t_bool,C),D)|A=C.
% 115.64/114.42  ** KEPT (pick-wt=14): 70 [] hAPP_f538843494t_bool(hAPP_f1418982953t_bool(produc713279741t_bool,A),B)!=hAPP_f538843494t_bool(hAPP_f1418982953t_bool(produc713279741t_bool,C),D)|B=D.
% 115.64/114.42  ** KEPT (pick-wt=14): 71 [] hAPP_P230595783nt_int(hAPP_P941956607nt_int(produc883642259nt_int,A),B)!=hAPP_P230595783nt_int(hAPP_P941956607nt_int(produc883642259nt_int,C),D)|A=C.
% 115.64/114.42  ** KEPT (pick-wt=14): 72 [] hAPP_P230595783nt_int(hAPP_P941956607nt_int(produc883642259nt_int,A),B)!=hAPP_P230595783nt_int(hAPP_P941956607nt_int(produc883642259nt_int,C),D)|B=D.
% 115.64/114.42  ** KEPT (pick-wt=14): 73 [] hAPP_Q1256397320de_int(hAPP_Q952608535de_int(produc1318306967de_int,A),B)!=hAPP_Q1256397320de_int(hAPP_Q952608535de_int(produc1318306967de_int,C),D)|A=C.
% 115.64/114.42  ** KEPT (pick-wt=14): 74 [] hAPP_Q1256397320de_int(hAPP_Q952608535de_int(produc1318306967de_int,A),B)!=hAPP_Q1256397320de_int(hAPP_Q952608535de_int(produc1318306967de_int,C),D)|B=D.
% 115.64/114.42  
% 115.64/114.42  Search stopped in tp_alloc by max_mem option.
% 115.64/114.42  
% 115.64/114.42  ============ end of search ============
% 115.64/114.42  
% 115.64/114.42  -------------- statistics -------------
% 115.64/114.42  clauses given                  0
% 115.64/114.42  clauses generated              0
% 115.64/114.42  clauses kept                  74
% 115.64/114.42  clauses forward subsumed      33
% 115.64/114.42  clauses back subsumed          0
% 115.64/114.42  Kbytes malloced            11718
% 115.64/114.42  
% 115.64/114.42  ----------- times (seconds) -----------
% 115.64/114.42  user CPU time          2.44          (0 hr, 0 min, 2 sec)
% 115.64/114.42  system CPU time        0.01          (0 hr, 0 min, 0 sec)
% 115.64/114.42  wall-clock time      113             (0 hr, 1 min, 53 sec)
% 115.64/114.42  
% 115.64/114.42  Process 24709 finished Wed Jul 27 09:37:49 2022
% 115.64/114.42  Otter interrupted
% 115.64/114.42  PROOF NOT FOUND
%------------------------------------------------------------------------------