TSTP Solution File: SWW473+3 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SWW473+3 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n026.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 13:22:40 EDT 2022
% Result : Unknown 15.63s 15.51s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW473+3 : TPTP v8.1.0. Released v5.3.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n026.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 03:04:39 EDT 2022
% 0.12/0.34 % CPUTime :
% 15.57/15.42 ----- Otter 3.3f, August 2004 -----
% 15.57/15.42 The process was started by sandbox on n026.cluster.edu,
% 15.57/15.42 Wed Jul 27 03:04:39 2022
% 15.57/15.42 The command was "./otter". The process ID is 12688.
% 15.57/15.42
% 15.57/15.42 set(prolog_style_variables).
% 15.57/15.42 set(auto).
% 15.57/15.42 dependent: set(auto1).
% 15.57/15.42 dependent: set(process_input).
% 15.57/15.42 dependent: clear(print_kept).
% 15.57/15.42 dependent: clear(print_new_demod).
% 15.57/15.42 dependent: clear(print_back_demod).
% 15.57/15.42 dependent: clear(print_back_sub).
% 15.57/15.42 dependent: set(control_memory).
% 15.57/15.42 dependent: assign(max_mem, 12000).
% 15.57/15.42 dependent: assign(pick_given_ratio, 4).
% 15.57/15.42 dependent: assign(stats_level, 1).
% 15.57/15.42 dependent: assign(max_seconds, 10800).
% 15.57/15.42 clear(print_given).
% 15.57/15.42
% 15.57/15.42 formula_list(usable).
% 15.57/15.42 all A (A=A).
% 15.57/15.42 all B_1_1 B_2_1 (is_fun_a_bool(B_2_1)->is_fun_a_bool(cOMBB_bool_bool_a(B_1_1,B_2_1))).
% 15.57/15.42 all B_1_1 B_2_1 (is_fun_pname_bool(B_2_1)->is_fun_pname_bool(cOMBB_647938656_pname(B_1_1,B_2_1))).
% 15.57/15.42 all B_1_1 B_2_1 (is_fun949378684l_bool(B_1_1)->is_fun_a_bool(cOMBB_1273333599bool_a(B_1_1,B_2_1))).
% 15.57/15.42 all B_1_1 (is_bool(B_1_1)->is_fun_a_bool(cOMBK_bool_a(B_1_1))).
% 15.57/15.42 all B_1_1 B_2_1 (is_fun_a_bool(B_2_1)->is_fun_a_bool(cOMBS_a_bool_bool(B_1_1,B_2_1))).
% 15.57/15.42 all B_1_1 B_2_1 (is_fun_pname_bool(B_2_1)->is_fun_pname_bool(cOMBS_568398431l_bool(B_1_1,B_2_1))).
% 15.57/15.42 all B_1_1 B_2_1 (is_fun949378684l_bool(B_2_1)->is_fun949378684l_bool(cOMBS_1035972772l_bool(B_1_1,B_2_1))).
% 15.57/15.42 all B_1_1 B_2_1 (is_fun1661590463l_bool(B_2_1)->is_fun1661590463l_bool(cOMBS_350070575l_bool(B_1_1,B_2_1))).
% 15.57/15.42 is_fun949378684l_bool(finite_finite_a).
% 15.57/15.42 is_fun1661590463l_bool(finite_finite_pname).
% 15.57/15.42 all B_1_1 B_2_1 is_bool(finite_folding_one_a(B_1_1,B_2_1)).
% 15.57/15.42 all B_1_1 B_2_1 is_bool(finite1282449217_pname(B_1_1,B_2_1)).
% 15.57/15.42 all B_1_1 B_2_1 is_bool(finite1626084323ne_int(B_1_1,B_2_1)).
% 15.57/15.42 all B_1_1 B_2_1 is_bool(finite988810631ne_nat(B_1_1,B_2_1)).
% 15.57/15.42 all B_1_1 B_2_1 is_bool(finite1819937229idem_a(B_1_1,B_2_1)).
% 15.57/15.42 all B_1_1 B_2_1 is_bool(finite89670078_pname(B_1_1,B_2_1)).
% 15.57/15.42 all B_1_1 B_2_1 is_bool(finite1432773856em_int(B_1_1,B_2_1)).
% 15.57/15.42 all B_1_1 B_2_1 is_bool(finite795500164em_nat(B_1_1,B_2_1)).
% 15.57/15.42 is_a(undefined_a(x_a)).
% 15.57/15.42 is_pname(undefined_pname(pname)).
% 15.57/15.42 is_fun_a_bool(undefined_fun_a_bool(fun(x_a,bool))).
% 15.57/15.42 is_fun_pname_bool(undefi17486888e_bool(fun(pname,bool))).
% 15.57/15.42 is_fun949378684l_bool(undefi1699038445l_bool(fun(fun(x_a,bool),bool))).
% 15.57/15.42 is_fun1661590463l_bool(undefi64961550l_bool(fun(fun(pname,bool),bool))).
% 15.57/15.42 is_bool(bot_bot_bool).
% 15.57/15.42 is_fun_a_bool(bot_bot_fun_a_bool).
% 15.57/15.42 is_fun_pname_bool(bot_bo844097828e_bool).
% 15.57/15.42 all B_1_1 (is_fun_a_bool(B_1_1)->is_fun_a_bool(collect_a(B_1_1))).
% 15.57/15.42 all B_1_1 (is_fun_pname_bool(B_1_1)->is_fun_pname_bool(collect_pname(B_1_1))).
% 15.57/15.42 all B_1_1 (is_fun949378684l_bool(B_1_1)->is_fun949378684l_bool(collect_fun_a_bool(B_1_1))).
% 15.57/15.42 all B_1_1 (is_fun1661590463l_bool(B_1_1)->is_fun1661590463l_bool(collec1974731493e_bool(B_1_1))).
% 15.57/15.42 all B_1_1 B_2_1 (is_fun_a_bool(B_2_1)->is_fun_a_bool(image_a_a(B_1_1,B_2_1))).
% 15.57/15.42 all B_1_1 B_2_1 (is_fun_a_bool(B_2_1)->is_fun_pname_bool(image_a_pname(B_1_1,B_2_1))).
% 15.57/15.42 all B_1_1 B_2_1 (is_fun_a_bool(B_2_1)->is_fun949378684l_bool(image_a_fun_a_bool(B_1_1,B_2_1))).
% 15.57/15.42 all B_1_1 B_2_1 (is_fun_a_bool(B_2_1)->is_fun1661590463l_bool(image_819518260e_bool(B_1_1,B_2_1))).
% 15.57/15.42 all B_1_1 B_2_1 (is_fun_pname_bool(B_2_1)->is_fun_a_bool(image_pname_a(B_1_1,B_2_1))).
% 15.57/15.42 all B_1_1 B_2_1 (is_fun_pname_bool(B_2_1)->is_fun_pname_bool(image_pname_pname(B_1_1,B_2_1))).
% 15.57/15.42 all B_1_1 B_2_1 (is_fun_pname_bool(B_2_1)->is_fun949378684l_bool(image_112932426a_bool(B_1_1,B_2_1))).
% 15.57/15.42 all B_1_1 B_2_1 (is_fun_pname_bool(B_2_1)->is_fun1661590463l_bool(image_47868345e_bool(B_1_1,B_2_1))).
% 15.57/15.42 all B_1_1 B_2_1 is_fun_a_bool(image_int_a(B_1_1,B_2_1)).
% 15.57/15.42 all B_1_1 B_2_1 is_fun_pname_bool(image_int_pname(B_1_1,B_2_1)).
% 15.57/15.42 all B_1_1 B_2_1 is_fun949378684l_bool(image_int_fun_a_bool(B_1_1,B_2_1)).
% 15.57/15.42 all B_1_1 B_2_1 is_fun1661590463l_bool(image_637364955e_bool(B_1_1,B_2_1)).
% 15.57/15.42 all B_1_1 B_2_1 is_fun_a_bool(image_nat_a(B_1_1,B_2_1)).
% 15.57/15.42 all B_1_1 B_2_1 is_fun_pname_bool(image_nat_pname(B_1_1,B_2_1)).
% 15.57/15.42 all B_1_1 B_2_1 is_fun949378684l_bool(image_nat_fun_a_bool(B_1_1,B_2_1)).
% 15.57/15.42 all B_1_1 B_2_1 is_fun1661590463l_bool(image_1655916159e_bool(B_1_1,B_2_1)).
% 15.57/15.42 all B_1_1 B_2_1 (is_fun949378684l_bool(B_2_1)->is_fun_a_bool(image_fun_a_bool_a(B_1_1,B_2_1))).
% 15.57/15.42 all B_1_1 B_2_1 (is_fun949378684l_bool(B_2_1)->is_fun_pname_bool(image_1854862208_pname(B_1_1,B_2_1))).
% 15.57/15.42 all B_1_1 B_2_1 (is_fun1661590463l_bool(B_2_1)->is_fun_a_bool(image_876012084bool_a(B_1_1,B_2_1))).
% 15.57/15.42 all B_1_1 B_2_1 (is_fun1661590463l_bool(B_2_1)->is_fun_pname_bool(image_1283814551_pname(B_1_1,B_2_1))).
% 15.57/15.42 all B_1_1 B_2_1 is_fun_a_bool(image_fun_int_bool_a(B_1_1,B_2_1)).
% 15.57/15.42 all B_1_1 B_2_1 is_fun_pname_bool(image_62782965_pname(B_1_1,B_2_1)).
% 15.57/15.42 all B_1_1 B_2_1 is_fun_a_bool(image_fun_nat_bool_a(B_1_1,B_2_1)).
% 15.57/15.42 all B_1_1 B_2_1 is_fun_pname_bool(image_1921560913_pname(B_1_1,B_2_1)).
% 15.57/15.42 is_bool(fFalse).
% 15.57/15.42 is_bool(fTrue).
% 15.57/15.42 all B_1_1 B_2_1 (is_a(B_2_1)->is_a(hAPP_a_a(B_1_1,B_2_1))).
% 15.57/15.42 all B_1_1 B_2_1 (is_fun_a_bool(B_1_1)&is_a(B_2_1)->is_bool(hAPP_a_bool(B_1_1,B_2_1))).
% 15.57/15.42 all B_1_1 B_2_1 (is_a(B_2_1)->is_fun_a_bool(hAPP_a_fun_a_bool(B_1_1,B_2_1))).
% 15.57/15.42 all B_1_1 B_2_1 (is_a(B_2_1)->is_fun_pname_bool(hAPP_a93125764e_bool(B_1_1,B_2_1))).
% 15.57/15.42 all B_1_1 B_2_1 (is_a(B_2_1)->is_fun949378684l_bool(hAPP_a85458249l_bool(B_1_1,B_2_1))).
% 15.57/15.42 all B_1_1 B_2_1 (is_pname(B_2_1)->is_a(hAPP_pname_a(B_1_1,B_2_1))).
% 15.57/15.42 all B_1_1 B_2_1 (is_pname(B_2_1)->is_pname(hAPP_pname_pname(B_1_1,B_2_1))).
% 15.57/15.42 all B_1_1 B_2_1 (is_fun_pname_bool(B_1_1)&is_pname(B_2_1)->is_bool(hAPP_pname_bool(B_1_1,B_2_1))).
% 15.57/15.42 all B_1_1 B_2_1 (is_pname(B_2_1)->is_fun_a_bool(hAPP_p1534023578a_bool(B_1_1,B_2_1))).
% 15.57/15.42 all B_1_1 B_2_1 (is_pname(B_2_1)->is_fun_pname_bool(hAPP_p61793385e_bool(B_1_1,B_2_1))).
% 15.57/15.42 all B_1_1 B_2_1 (is_pname(B_2_1)->is_fun1661590463l_bool(hAPP_p338031245l_bool(B_1_1,B_2_1))).
% 15.57/15.42 all B_1_1 B_2_1 (is_bool(B_2_1)->is_bool(hAPP_bool_bool(B_1_1,B_2_1))).
% 15.57/15.42 all B_1_1 B_2_1 is_a(hAPP_int_a(B_1_1,B_2_1)).
% 15.57/15.42 all B_1_1 B_2_1 is_bool(hAPP_int_bool(B_1_1,B_2_1)).
% 15.57/15.42 all B_1_1 B_2_1 is_fun_a_bool(hAPP_int_fun_a_bool(B_1_1,B_2_1)).
% 15.57/15.42 all B_1_1 B_2_1 is_fun_pname_bool(hAPP_i7355787e_bool(B_1_1,B_2_1)).
% 15.57/15.42 all B_1_1 B_2_1 is_fun949378684l_bool(hAPP_i888906320l_bool(B_1_1,B_2_1)).
% 15.57/15.42 all B_1_1 B_2_1 is_fun1661590463l_bool(hAPP_i1587699435l_bool(B_1_1,B_2_1)).
% 15.57/15.42 all B_1_1 B_2_1 is_bool(hAPP_nat_bool(B_1_1,B_2_1)).
% 15.57/15.42 all B_1_1 B_2_1 is_fun_a_bool(hAPP_nat_fun_a_bool(B_1_1,B_2_1)).
% 15.57/15.42 all B_1_1 B_2_1 is_fun_pname_bool(hAPP_n1025906991e_bool(B_1_1,B_2_1)).
% 15.57/15.42 all B_1_1 B_2_1 is_fun949378684l_bool(hAPP_n1414589940l_bool(B_1_1,B_2_1)).
% 15.57/15.42 all B_1_1 B_2_1 is_fun1661590463l_bool(hAPP_n850744903l_bool(B_1_1,B_2_1)).
% 15.57/15.42 all B_1_1 B_2_1 (is_fun_a_bool(B_2_1)->is_a(hAPP_fun_a_bool_a(B_1_1,B_2_1))).
% 15.57/15.42 all B_1_1 B_2_1 (is_fun949378684l_bool(B_1_1)&is_fun_a_bool(B_2_1)->is_bool(hAPP_fun_a_bool_bool(B_1_1,B_2_1))).
% 15.57/15.42 all B_1_1 B_2_1 (is_fun_a_bool(B_2_1)->is_fun_a_bool(hAPP_f2050579477a_bool(B_1_1,B_2_1))).
% 15.57/15.42 all B_1_1 B_2_1 (is_fun_a_bool(B_2_1)->is_fun949378684l_bool(hAPP_f1631501043l_bool(B_1_1,B_2_1))).
% 15.57/15.42 all B_1_1 B_2_1 (is_fun_pname_bool(B_2_1)->is_pname(hAPP_f1297739591_pname(B_1_1,B_2_1))).
% 15.57/15.42 all B_1_1 B_2_1 (is_fun1661590463l_bool(B_1_1)&is_fun_pname_bool(B_2_1)->is_bool(hAPP_f1664156314l_bool(B_1_1,B_2_1))).
% 15.57/15.42 all B_1_1 B_2_1 (is_fun_pname_bool(B_2_1)->is_fun_pname_bool(hAPP_f759274231e_bool(B_1_1,B_2_1))).
% 15.57/15.42 all B_1_1 B_2_1 (is_fun_pname_bool(B_2_1)->is_fun1661590463l_bool(hAPP_f434788991l_bool(B_1_1,B_2_1))).
% 15.57/15.42 all B_1_1 B_2_1 is_bool(hAPP_f448129468l_bool(B_1_1,B_2_1)).
% 15.57/15.42 all B_1_1 B_2_1 is_bool(hAPP_f54304608l_bool(B_1_1,B_2_1)).
% 15.57/15.42 all B_1_1 B_2_1 (is_fun949378684l_bool(B_2_1)->is_bool(hAPP_f621171935l_bool(B_1_1,B_2_1))).
% 15.57/15.42 all B_1_1 B_2_1 (is_fun949378684l_bool(B_2_1)->is_fun949378684l_bool(hAPP_f2117159681l_bool(B_1_1,B_2_1))).
% 15.57/15.42 all B_1_1 B_2_1 (is_fun1661590463l_bool(B_2_1)->is_bool(hAPP_f1935102916l_bool(B_1_1,B_2_1))).
% 15.57/15.42 all B_1_1 B_2_1 (is_fun1661590463l_bool(B_2_1)->is_fun1661590463l_bool(hAPP_f559147733l_bool(B_1_1,B_2_1))).
% 15.57/15.42 all B_1_1 B_2_1 is_bool(hAPP_f215623910l_bool(B_1_1,B_2_1)).
% 15.57/15.42 all B_1_1 B_2_1 is_bool(hAPP_f1637334154l_bool(B_1_1,B_2_1)).
% 15.57/15.42 all B_1_1 B_2_1 is_bool(hAPP_f292226953l_bool(B_1_1,B_2_1)).
% 15.57/15.42 all B_1_1 B_2_1 is_bool(hAPP_f389811538l_bool(B_1_1,B_2_1)).
% 15.57/15.42 all B_1_1 B_2_1 is_bool(hAPP_f1593524852l_bool(B_1_1,B_2_1)).
% 15.57/15.42 all B_1_1 B_2_1 is_bool(hAPP_f937997336l_bool(B_1_1,B_2_1)).
% 15.57/15.42 is_fun_a_bool(g).
% 15.57/15.42 all B_1_1 (is_fun_a_bool(B_1_1)->is_fun949378684l_bool(p(B_1_1))).
% 15.57/15.42 is_fun_pname_bool(u).
% 15.57/15.42 all B_1_1 is_a(mgt(B_1_1)).
% 15.57/15.42 is_pname(pn).
% 15.57/15.42 all B_1_1 is_bool(wt(B_1_1)).
% 15.57/15.42 all Ts G (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,Ts),G))->hBOOL(hAPP_fun_a_bool_bool(p(G),Ts))).
% 15.57/15.42 all A (hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A))->hBOOL(hAPP_f1593524852l_bool(finite2095298929l_bool,collec1409689523l_bool(hAPP_f317860125l_bool(cOMBC_348868698l_bool(ord_le1848167016l_bool),A))))).
% 15.57/15.42 all A (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A))->hBOOL(hAPP_f937997336l_bool(finite1701474069l_bool,collec1015864663l_bool(hAPP_f1772781669l_bool(cOMBC_595898202l_bool(ord_le1454342156l_bool),A))))).
% 15.57/15.42 all A (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A))->hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,collec1613912337l_bool(hAPP_f510955609l_bool(cOMBC_7971162l_bool(ord_le675606854l_bool),A))))).
% 15.57/15.42 all A (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A))->hBOOL(hAPP_f292226953l_bool(finite1381704300l_bool,collec707592106l_bool(hAPP_f1434722111l_bool(cOMBC_331553030l_bool(ord_le1375614389l_bool),A))))).
% 15.57/15.42 all A (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))->hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(ord_le1311769555a_bool),A))))).
% 15.57/15.42 all A (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))->hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(hAPP_f434788991l_bool(cOMBC_1284144636l_bool(ord_le313189616e_bool),A))))).
% 15.57/15.42 all A (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))->hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(hAPP_f103356543l_bool(cOMBC_1693257480l_bool(ord_le1568362934t_bool),A))))).
% 15.57/15.42 all A (hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))->hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,collect_fun_int_bool(hAPP_f284875647l_bool(cOMBC_605892544l_bool(ord_le951220754t_bool),A))))).
% 15.57/15.42 all H F_1 (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1))->hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,image_1512837979t_bool(H,F_1)))).
% 15.57/15.42 all H F_1 (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1))->hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_2129980159t_bool(H,F_1)))).
% 15.57/15.42 all H F_1 (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1))->hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_47868345e_bool(H,F_1)))).
% 15.57/15.42 all H F_1 (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1))->hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_112932426a_bool(H,F_1)))).
% 15.57/15.42 all H F_1 (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,F_1))->hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_nat_a(H,F_1)))).
% 15.57/15.42 all H F_1 (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,F_1))->hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,image_1556378401t_bool(H,F_1)))).
% 15.57/15.42 all H F_1 (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,F_1))->hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_26036933t_bool(H,F_1)))).
% 15.57/15.42 all H F_1 (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,F_1))->hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_1655916159e_bool(H,F_1)))).
% 15.57/15.42 all H F_1 (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,F_1))->hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_nat_fun_a_bool(H,F_1)))).
% 15.57/15.42 all H F_1 (hBOOL(hAPP_f448129468l_bool(finite_finite_int,F_1))->hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_int_a(H,F_1)))).
% 15.57/15.42 all H F_1 (hBOOL(hAPP_f448129468l_bool(finite_finite_int,F_1))->hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,image_275383677t_bool(H,F_1)))).
% 15.57/15.42 all H F_1 (hBOOL(hAPP_f448129468l_bool(finite_finite_int,F_1))->hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_892525857t_bool(H,F_1)))).
% 15.57/15.42 all H F_1 (hBOOL(hAPP_f448129468l_bool(finite_finite_int,F_1))->hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_637364955e_bool(H,F_1)))).
% 15.57/15.42 all H F_1 (hBOOL(hAPP_f448129468l_bool(finite_finite_int,F_1))->hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_int_fun_a_bool(H,F_1)))).
% 15.57/15.42 all H F_1 (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,F_1))->hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_a_pname(H,F_1)))).
% 15.57/15.42 all H F_1 (hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,F_1))->hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_62782965_pname(H,F_1)))).
% 15.57/15.42 all H F_1 (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,F_1))->hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1921560913_pname(H,F_1)))).
% 15.57/15.42 all H F_1 (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,F_1))->hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1283814551_pname(H,F_1)))).
% 15.57/15.42 all H F_1 (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,F_1))->hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1854862208_pname(H,F_1)))).
% 15.57/15.42 all H F_1 (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,F_1))->hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_a_nat(H,F_1)))).
% 15.57/15.42 all H F_1 (hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,F_1))->hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_1431733819ol_nat(H,F_1)))).
% 15.57/15.42 all H F_1 (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,F_1))->hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_496248727ol_nat(H,F_1)))).
% 15.57/15.42 all H F_1 (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,F_1))->hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_1551609309ol_nat(H,F_1)))).
% 15.57/15.42 all H F_1 (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,F_1))->hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_fun_a_bool_nat(H,F_1)))).
% 15.57/15.42 all H F_1 (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,F_1))->hBOOL(hAPP_f448129468l_bool(finite_finite_int,image_a_int(H,F_1)))).
% 15.57/15.42 all H F_1 (hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,F_1))->hBOOL(hAPP_f448129468l_bool(finite_finite_int,image_2069007511ol_int(H,F_1)))).
% 15.57/15.42 all H F_1 (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,F_1))->hBOOL(hAPP_f448129468l_bool(finite_finite_int,image_1133522419ol_int(H,F_1)))).
% 15.57/15.42 all H F_1 (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,F_1))->hBOOL(hAPP_f448129468l_bool(finite_finite_int,image_41399353ol_int(H,F_1)))).
% 15.57/15.42 all H F_1 (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,F_1))->hBOOL(hAPP_f448129468l_bool(finite_finite_int,image_fun_a_bool_int(H,F_1)))).
% 15.57/15.42 all H F_1 (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1))->hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_pname_a(H,F_1)))).
% 15.57/15.42 all H F_1 (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,F_1))->hBOOL(hAPP_f448129468l_bool(finite_finite_int,image_nat_int(H,F_1)))).
% 15.57/15.42 all A_2 A (hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A))->hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,hAPP_f1948010709l_bool(hAPP_f587666462l_bool(insert_fun_int_bool,A_2),A)))).
% 15.57/15.42 all A_2 A (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A))->hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,hAPP_f1246832597l_bool(hAPP_f633452666l_bool(insert_fun_nat_bool,A_2),A)))).
% 15.57/15.42 all A_2 A (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A))->hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,A_2),A)))).
% 15.57/15.42 all A_2 A (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A))->hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,hAPP_f2117159681l_bool(hAPP_f1531278575l_bool(insert_fun_a_bool,A_2),A)))).
% 15.57/15.42 all A_2 A (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))->hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A_2),A)))).
% 15.57/15.42 all A_2 A (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))->hBOOL(hAPP_f54304608l_bool(finite_finite_nat,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),A)))).
% 15.57/15.42 all A_2 A (hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))->hBOOL(hAPP_f448129468l_bool(finite_finite_int,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),A)))).
% 15.57/15.42 all A_2 A (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))->hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),A)))).
% 15.57/15.42 all F A (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f921600141ol_nat(finite_card_pname,image_pname_pname(F,A))),hAPP_f921600141ol_nat(finite_card_pname,A)))).
% 15.57/15.42 all F A (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_fun_a_bool_nat(finite_card_a,image_a_a(F,A))),hAPP_fun_a_bool_nat(finite_card_a,A)))).
% 15.62/15.42 all F A (hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_fun_a_bool_nat(finite_card_a,image_fun_int_bool_a(F,A))),hAPP_f521865025ol_nat(finite1876863882t_bool,A)))).
% 15.62/15.42 all F A (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_fun_a_bool_nat(finite_card_a,image_fun_nat_bool_a(F,A))),hAPP_f696928925ol_nat(finite346522414t_bool,A)))).
% 15.62/15.42 all F A (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_fun_a_bool_nat(finite_card_a,image_876012084bool_a(F,A))),hAPP_f55526627ol_nat(finite1340463720e_bool,A)))).
% 15.62/15.42 all F A (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_fun_a_bool_nat(finite_card_a,image_fun_a_bool_a(F,A))),hAPP_f2009550088ol_nat(finite1306199131a_bool,A)))).
% 15.62/15.42 all F A (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f22106695ol_nat(finite_card_nat,image_pname_nat(F,A))),hAPP_f921600141ol_nat(finite_card_pname,A)))).
% 15.62/15.42 all F A (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f22106695ol_nat(finite_card_nat,image_a_nat(F,A))),hAPP_fun_a_bool_nat(finite_card_a,A)))).
% 15.62/15.42 all F A (hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f22106695ol_nat(finite_card_nat,image_1431733819ol_nat(F,A))),hAPP_f521865025ol_nat(finite1876863882t_bool,A)))).
% 15.62/15.42 all F A (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f22106695ol_nat(finite_card_nat,image_496248727ol_nat(F,A))),hAPP_f696928925ol_nat(finite346522414t_bool,A)))).
% 15.62/15.42 all F A (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f22106695ol_nat(finite_card_nat,image_1551609309ol_nat(F,A))),hAPP_f55526627ol_nat(finite1340463720e_bool,A)))).
% 15.62/15.42 all F A (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f22106695ol_nat(finite_card_nat,image_fun_a_bool_nat(F,A))),hAPP_f2009550088ol_nat(finite1306199131a_bool,A)))).
% 15.62/15.42 all F A (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f957591787ol_nat(finite_card_int,image_pname_int(F,A))),hAPP_f921600141ol_nat(finite_card_pname,A)))).
% 15.62/15.42 all F A (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f957591787ol_nat(finite_card_int,image_a_int(F,A))),hAPP_fun_a_bool_nat(finite_card_a,A)))).
% 15.62/15.42 all F A (hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f957591787ol_nat(finite_card_int,image_2069007511ol_int(F,A))),hAPP_f521865025ol_nat(finite1876863882t_bool,A)))).
% 15.62/15.42 all F A (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f957591787ol_nat(finite_card_int,image_1133522419ol_int(F,A))),hAPP_f696928925ol_nat(finite346522414t_bool,A)))).
% 15.62/15.42 all F A (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f957591787ol_nat(finite_card_int,image_41399353ol_int(F,A))),hAPP_f55526627ol_nat(finite1340463720e_bool,A)))).
% 15.62/15.42 all F A (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f957591787ol_nat(finite_card_int,image_fun_a_bool_int(F,A))),hAPP_f2009550088ol_nat(finite1306199131a_bool,A)))).
% 15.62/15.42 all F A (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f921600141ol_nat(finite_card_pname,image_a_pname(F,A))),hAPP_fun_a_bool_nat(finite_card_a,A)))).
% 15.62/15.42 all F A (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f921600141ol_nat(finite_card_pname,image_nat_pname(F,A))),hAPP_f22106695ol_nat(finite_card_nat,A)))).
% 15.62/15.42 all F A (hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f921600141ol_nat(finite_card_pname,image_int_pname(F,A))),hAPP_f957591787ol_nat(finite_card_int,A)))).
% 15.62/15.42 all F A (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_fun_a_bool_nat(finite_card_a,image_pname_a(F,A))),hAPP_f921600141ol_nat(finite_card_pname,A)))).
% 15.62/15.42 all F A (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f957591787ol_nat(finite_card_int,image_nat_int(F,A))),hAPP_f22106695ol_nat(finite_card_nat,A)))).
% 15.62/15.42 all A B (hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,B))-> (hBOOL(hAPP_f215623910l_bool(hAPP_f317860125l_bool(ord_le1848167016l_bool,A),B))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f521865025ol_nat(finite1876863882t_bool,A)),hAPP_f521865025ol_nat(finite1876863882t_bool,B))))).
% 15.62/15.42 all A B (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B))-> (hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,A),B))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f696928925ol_nat(finite346522414t_bool,A)),hAPP_f696928925ol_nat(finite346522414t_bool,B))))).
% 15.62/15.42 all A B (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B))-> (hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,A),B))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f55526627ol_nat(finite1340463720e_bool,A)),hAPP_f55526627ol_nat(finite1340463720e_bool,B))))).
% 15.62/15.42 all A B (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B))-> (hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,A),B))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f2009550088ol_nat(finite1306199131a_bool,A)),hAPP_f2009550088ol_nat(finite1306199131a_bool,B))))).
% 15.62/15.42 all A B (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B))-> (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f921600141ol_nat(finite_card_pname,A)),hAPP_f921600141ol_nat(finite_card_pname,B))))).
% 15.62/15.42 all A B (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B))-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_fun_a_bool_nat(finite_card_a,A)),hAPP_fun_a_bool_nat(finite_card_a,B))))).
% 15.62/15.42 all A B (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B))-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f22106695ol_nat(finite_card_nat,A)),hAPP_f22106695ol_nat(finite_card_nat,B))))).
% 15.62/15.42 all A B (hBOOL(hAPP_f448129468l_bool(finite_finite_int,B))-> (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f957591787ol_nat(finite_card_int,A)),hAPP_f957591787ol_nat(finite_card_int,B))))).
% 15.62/15.42 all A B (hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,B))-> (hBOOL(hAPP_f215623910l_bool(hAPP_f317860125l_bool(ord_le1848167016l_bool,A),B))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f521865025ol_nat(finite1876863882t_bool,B)),hAPP_f521865025ol_nat(finite1876863882t_bool,A)))->A=B))).
% 15.62/15.42 all A B (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B))-> (hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,A),B))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f696928925ol_nat(finite346522414t_bool,B)),hAPP_f696928925ol_nat(finite346522414t_bool,A)))->A=B))).
% 15.62/15.42 all A B (is_fun1661590463l_bool(A)&is_fun1661590463l_bool(B)-> (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B))-> (hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,A),B))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f55526627ol_nat(finite1340463720e_bool,B)),hAPP_f55526627ol_nat(finite1340463720e_bool,A)))->A=B)))).
% 15.62/15.42 all A B (is_fun949378684l_bool(A)&is_fun949378684l_bool(B)-> (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B))-> (hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,A),B))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f2009550088ol_nat(finite1306199131a_bool,B)),hAPP_f2009550088ol_nat(finite1306199131a_bool,A)))->A=B)))).
% 15.62/15.42 all A B (is_fun_pname_bool(A)&is_fun_pname_bool(B)-> (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B))-> (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f921600141ol_nat(finite_card_pname,B)),hAPP_f921600141ol_nat(finite_card_pname,A)))->A=B)))).
% 15.62/15.42 all A B (is_fun_a_bool(A)&is_fun_a_bool(B)-> (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B))-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_fun_a_bool_nat(finite_card_a,B)),hAPP_fun_a_bool_nat(finite_card_a,A)))->A=B)))).
% 15.62/15.42 all A B (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B))-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f22106695ol_nat(finite_card_nat,B)),hAPP_f22106695ol_nat(finite_card_nat,A)))->A=B))).
% 15.62/15.42 all A B (hBOOL(hAPP_f448129468l_bool(finite_finite_int,B))-> (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f957591787ol_nat(finite_card_int,B)),hAPP_f957591787ol_nat(finite_card_int,A)))->A=B))).
% 15.62/15.42 all X_1 A (hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f521865025ol_nat(finite1876863882t_bool,A)),hAPP_f521865025ol_nat(finite1876863882t_bool,hAPP_f1948010709l_bool(hAPP_f587666462l_bool(insert_fun_int_bool,X_1),A))))).
% 15.62/15.42 all X_1 A (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f696928925ol_nat(finite346522414t_bool,A)),hAPP_f696928925ol_nat(finite346522414t_bool,hAPP_f1246832597l_bool(hAPP_f633452666l_bool(insert_fun_nat_bool,X_1),A))))).
% 15.62/15.42 all X_1 A (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f55526627ol_nat(finite1340463720e_bool,A)),hAPP_f55526627ol_nat(finite1340463720e_bool,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X_1),A))))).
% 15.62/15.42 all X_1 A (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f2009550088ol_nat(finite1306199131a_bool,A)),hAPP_f2009550088ol_nat(finite1306199131a_bool,hAPP_f2117159681l_bool(hAPP_f1531278575l_bool(insert_fun_a_bool,X_1),A))))).
% 15.62/15.42 all X_1 A (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f921600141ol_nat(finite_card_pname,A)),hAPP_f921600141ol_nat(finite_card_pname,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),A))))).
% 15.62/15.42 all X_1 A (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f22106695ol_nat(finite_card_nat,A)),hAPP_f22106695ol_nat(finite_card_nat,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),A))))).
% 15.62/15.42 all X_1 A (hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f957591787ol_nat(finite_card_int,A)),hAPP_f957591787ol_nat(finite_card_int,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),A))))).
% 15.62/15.42 all X_1 A (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_fun_a_bool_nat(finite_card_a,A)),hAPP_fun_a_bool_nat(finite_card_a,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),A))))).
% 15.62/15.42 all X_1 A (hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A))-> (hBOOL(hAPP_f215623910l_bool(hAPP_f628503027l_bool(member_fun_int_bool,X_1),A))->hAPP_f521865025ol_nat(finite1876863882t_bool,hAPP_f1948010709l_bool(hAPP_f587666462l_bool(insert_fun_int_bool,X_1),A))=hAPP_f521865025ol_nat(finite1876863882t_bool,A))& (-hBOOL(hAPP_f215623910l_bool(hAPP_f628503027l_bool(member_fun_int_bool,X_1),A))->hAPP_f521865025ol_nat(finite1876863882t_bool,hAPP_f1948010709l_bool(hAPP_f587666462l_bool(insert_fun_int_bool,X_1),A))=hAPP_nat_nat(suc,hAPP_f521865025ol_nat(finite1876863882t_bool,A)))).
% 15.62/15.42 all X_1 A (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A))-> (hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,X_1),A))->hAPP_f696928925ol_nat(finite346522414t_bool,hAPP_f1246832597l_bool(hAPP_f633452666l_bool(insert_fun_nat_bool,X_1),A))=hAPP_f696928925ol_nat(finite346522414t_bool,A))& (-hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,X_1),A))->hAPP_f696928925ol_nat(finite346522414t_bool,hAPP_f1246832597l_bool(hAPP_f633452666l_bool(insert_fun_nat_bool,X_1),A))=hAPP_nat_nat(suc,hAPP_f696928925ol_nat(finite346522414t_bool,A)))).
% 15.62/15.42 all X_1 A (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A))-> (hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X_1),A))->hAPP_f55526627ol_nat(finite1340463720e_bool,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X_1),A))=hAPP_f55526627ol_nat(finite1340463720e_bool,A))& (-hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X_1),A))->hAPP_f55526627ol_nat(finite1340463720e_bool,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X_1),A))=hAPP_nat_nat(suc,hAPP_f55526627ol_nat(finite1340463720e_bool,A)))).
% 15.62/15.42 all X_1 A (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A))-> (hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool,X_1),A))->hAPP_f2009550088ol_nat(finite1306199131a_bool,hAPP_f2117159681l_bool(hAPP_f1531278575l_bool(insert_fun_a_bool,X_1),A))=hAPP_f2009550088ol_nat(finite1306199131a_bool,A))& (-hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool,X_1),A))->hAPP_f2009550088ol_nat(finite1306199131a_bool,hAPP_f2117159681l_bool(hAPP_f1531278575l_bool(insert_fun_a_bool,X_1),A))=hAPP_nat_nat(suc,hAPP_f2009550088ol_nat(finite1306199131a_bool,A)))).
% 15.62/15.42 all X_1 A (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))-> (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))->hAPP_f921600141ol_nat(finite_card_pname,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),A))=hAPP_f921600141ol_nat(finite_card_pname,A))& (-hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))->hAPP_f921600141ol_nat(finite_card_pname,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),A))=hAPP_nat_nat(suc,hAPP_f921600141ol_nat(finite_card_pname,A)))).
% 15.62/15.42 all X_1 A (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))-> (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))->hAPP_f22106695ol_nat(finite_card_nat,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),A))=hAPP_f22106695ol_nat(finite_card_nat,A))& (-hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))->hAPP_f22106695ol_nat(finite_card_nat,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),A))=hAPP_nat_nat(suc,hAPP_f22106695ol_nat(finite_card_nat,A)))).
% 15.62/15.42 all X_1 A (hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A))->hAPP_f957591787ol_nat(finite_card_int,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),A))=hAPP_f957591787ol_nat(finite_card_int,A))& (-hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A))->hAPP_f957591787ol_nat(finite_card_int,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),A))=hAPP_nat_nat(suc,hAPP_f957591787ol_nat(finite_card_int,A)))).
% 15.62/15.42 all X_1 A (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A))->hAPP_fun_a_bool_nat(finite_card_a,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),A))=hAPP_fun_a_bool_nat(finite_card_a,A))& (-hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A))->hAPP_fun_a_bool_nat(finite_card_a,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),A))=hAPP_nat_nat(suc,hAPP_fun_a_bool_nat(finite_card_a,A)))).
% 15.62/15.42 all X_1 A (hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A))-> (-hBOOL(hAPP_f215623910l_bool(hAPP_f628503027l_bool(member_fun_int_bool,X_1),A))->hAPP_f521865025ol_nat(finite1876863882t_bool,hAPP_f1948010709l_bool(hAPP_f587666462l_bool(insert_fun_int_bool,X_1),A))=hAPP_nat_nat(suc,hAPP_f521865025ol_nat(finite1876863882t_bool,A)))).
% 15.62/15.42 all X_1 A (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A))-> (-hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,X_1),A))->hAPP_f696928925ol_nat(finite346522414t_bool,hAPP_f1246832597l_bool(hAPP_f633452666l_bool(insert_fun_nat_bool,X_1),A))=hAPP_nat_nat(suc,hAPP_f696928925ol_nat(finite346522414t_bool,A)))).
% 15.62/15.42 all X_1 A (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A))-> (-hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X_1),A))->hAPP_f55526627ol_nat(finite1340463720e_bool,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X_1),A))=hAPP_nat_nat(suc,hAPP_f55526627ol_nat(finite1340463720e_bool,A)))).
% 15.62/15.42 all X_1 A (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A))-> (-hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool,X_1),A))->hAPP_f2009550088ol_nat(finite1306199131a_bool,hAPP_f2117159681l_bool(hAPP_f1531278575l_bool(insert_fun_a_bool,X_1),A))=hAPP_nat_nat(suc,hAPP_f2009550088ol_nat(finite1306199131a_bool,A)))).
% 15.62/15.42 all X_1 A (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))-> (-hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))->hAPP_f921600141ol_nat(finite_card_pname,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),A))=hAPP_nat_nat(suc,hAPP_f921600141ol_nat(finite_card_pname,A)))).
% 15.62/15.42 all X_1 A (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))-> (-hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))->hAPP_f22106695ol_nat(finite_card_nat,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),A))=hAPP_nat_nat(suc,hAPP_f22106695ol_nat(finite_card_nat,A)))).
% 15.62/15.42 all X_1 A (hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))-> (-hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A))->hAPP_f957591787ol_nat(finite_card_int,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),A))=hAPP_nat_nat(suc,hAPP_f957591787ol_nat(finite_card_int,A)))).
% 15.62/15.42 all X_1 A (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))-> (-hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A))->hAPP_fun_a_bool_nat(finite_card_a,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),A))=hAPP_nat_nat(suc,hAPP_fun_a_bool_nat(finite_card_a,A)))).
% 15.62/15.42 all Q_3 Pa (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(Pa)))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(Q_3)))->hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,Pa),Q_3))))).
% 15.62/15.42 all Q_3 Pa (hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,collect_fun_int_bool(Pa)))|hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,collect_fun_int_bool(Q_3)))->hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,collect_fun_int_bool(cOMBS_1912792529l_bool(cOMBB_1974511970t_bool(fconj,Pa),Q_3))))).
% 15.62/15.42 all Q_3 Pa (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(Pa)))|hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(Q_3)))->hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fconj,Pa),Q_3))))).
% 15.62/15.42 all Q_3 Pa (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(Pa)))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(Q_3)))->hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,Pa),Q_3))))).
% 15.62/15.42 all Q_3 Pa (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(Pa)))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(Q_3)))->hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fconj,Pa),Q_3))))).
% 15.62/15.42 all Q_3 Pa (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(Pa)))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(Q_3)))->hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,Pa),Q_3))))).
% 15.62/15.42 all Q_3 Pa (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(Pa)))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(Q_3)))->hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,Pa),Q_3))))).
% 15.62/15.42 all Q_3 Pa (hBOOL(hAPP_f448129468l_bool(finite_finite_int,collect_int(Pa)))|hBOOL(hAPP_f448129468l_bool(finite_finite_int,collect_int(Q_3)))->hBOOL(hAPP_f448129468l_bool(finite_finite_int,collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fconj,Pa),Q_3))))).
% 15.62/15.42 all N M_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),M_1))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(suc,M_1)),N)=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N))).
% 15.62/15.42 all K hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_e_q_nat),K)))).
% 15.62/15.42 all Na (hAPP_f22106695ol_nat(finite_card_nat,collect_nat(hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_e_q_nat),Na)))=hAPP_nat_nat(suc,Na)).
% 15.62/15.42 all X Y (hAPP_nat_nat(suc,X)=hAPP_nat_nat(suc,Y)->X=Y).
% 15.62/15.42 all Nat_3 Nat_4 (hAPP_nat_nat(suc,Nat_3)=hAPP_nat_nat(suc,Nat_4)<->Nat_3=Nat_4).
% 15.62/15.42 all N (hAPP_nat_nat(suc,N)!=N).
% 15.62/15.42 all N (N!=hAPP_nat_nat(suc,N)).
% 15.62/15.42 all M_1 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),M_1))->M_1=N)).
% 15.62/15.42 all K_1 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,J),K_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_1),K_1)))).
% 15.62/15.42 all M_1 N (M_1=N->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N))).
% 15.62/15.42 all M_1 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),M_1))).
% 15.62/15.42 all N hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),N)).
% 15.62/15.42 all I_1 J K_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,I_1),J)),K_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,I_1),K_1)),J)).
% 15.62/15.42 all Pa Q_3 (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,Pa),Q_3))))<->hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(Pa)))&hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(Q_3)))).
% 15.62/15.42 all Pa Q_3 (hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,collect_fun_int_bool(cOMBS_1912792529l_bool(cOMBB_1974511970t_bool(fdisj,Pa),Q_3))))<->hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,collect_fun_int_bool(Pa)))&hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,collect_fun_int_bool(Q_3)))).
% 15.62/15.42 all Pa Q_3 (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fdisj,Pa),Q_3))))<->hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(Pa)))&hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(Q_3)))).
% 15.62/15.42 all Pa Q_3 (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,Pa),Q_3))))<->hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(Pa)))&hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(Q_3)))).
% 15.62/15.42 all Pa Q_3 (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj,Pa),Q_3))))<->hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(Pa)))&hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(Q_3)))).
% 15.62/15.42 all Pa Q_3 (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,Pa),Q_3))))<->hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(Pa)))&hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(Q_3)))).
% 15.62/15.42 all Pa Q_3 (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,Pa),Q_3))))<->hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(Pa)))&hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(Q_3)))).
% 15.62/15.42 all Pa Q_3 (hBOOL(hAPP_f448129468l_bool(finite_finite_int,collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fdisj,Pa),Q_3))))<->hBOOL(hAPP_f448129468l_bool(finite_finite_int,collect_int(Pa)))&hBOOL(hAPP_f448129468l_bool(finite_finite_int,collect_int(Q_3)))).
% 15.62/15.42 all A_2 A (hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,hAPP_f1948010709l_bool(hAPP_f587666462l_bool(insert_fun_int_bool,A_2),A)))<->hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A))).
% 15.62/15.42 all A_2 A (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,hAPP_f1246832597l_bool(hAPP_f633452666l_bool(insert_fun_nat_bool,A_2),A)))<->hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A))).
% 15.62/15.42 all A_2 A (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,A_2),A)))<->hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A))).
% 15.62/15.42 all A_2 A (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,hAPP_f2117159681l_bool(hAPP_f1531278575l_bool(insert_fun_a_bool,A_2),A)))<->hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A))).
% 15.62/15.42 all A_2 A (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A_2),A)))<->hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))).
% 15.62/15.42 all A_2 A (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),A)))<->hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))).
% 15.62/15.42 all A_2 A (hBOOL(hAPP_f448129468l_bool(finite_finite_int,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),A)))<->hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))).
% 15.62/15.42 all A_2 A (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),A)))<->hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))).
% 15.62/15.42 all A B (hBOOL(hAPP_f215623910l_bool(hAPP_f317860125l_bool(ord_le1848167016l_bool,A),B))-> (hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,B))->hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A)))).
% 15.62/15.42 all A B (hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,A),B))-> (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B))->hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A)))).
% 15.62/15.42 all A B (hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,A),B))-> (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B))->hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A)))).
% 15.62/15.42 all A B (hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,A),B))-> (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B))->hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A)))).
% 15.62/15.42 all A B (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B))-> (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B))->hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A)))).
% 15.62/15.42 all A B (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B))-> (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B))->hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A)))).
% 15.62/15.42 all A B (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B))-> (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B))->hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A)))).
% 15.62/15.42 all A B (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B))-> (hBOOL(hAPP_f448129468l_bool(finite_finite_int,B))->hBOOL(hAPP_f448129468l_bool(finite_finite_int,A)))).
% 15.62/15.42 all A B (hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,B))-> (hBOOL(hAPP_f215623910l_bool(hAPP_f317860125l_bool(ord_le1848167016l_bool,A),B))->hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A)))).
% 15.62/15.42 all A B (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B))-> (hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,A),B))->hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A)))).
% 15.62/15.42 all A B (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B))-> (hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,A),B))->hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A)))).
% 15.62/15.42 all A B (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B))-> (hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,A),B))->hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A)))).
% 15.62/15.42 all A B (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B))-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B))->hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A)))).
% 15.62/15.42 all A B (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B))-> (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B))->hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A)))).
% 15.62/15.42 all A B (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B))-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B))->hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A)))).
% 15.62/15.42 all A B (hBOOL(hAPP_f448129468l_bool(finite_finite_int,B))-> (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B))->hBOOL(hAPP_f448129468l_bool(finite_finite_int,A)))).
% 15.62/15.42 all M_1 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,M_1)),N))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N))).
% 15.62/15.42 all M_1 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),hAPP_nat_nat(suc,N)))-> (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N))->M_1=hAPP_nat_nat(suc,N))).
% 15.62/15.42 all M_1 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),hAPP_nat_nat(suc,N)))).
% 15.62/15.42 all Na M (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,Na)),hAPP_nat_nat(suc,M)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Na),M))).
% 15.62/15.42 all M Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),hAPP_nat_nat(suc,Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),Na))|M=hAPP_nat_nat(suc,Na)).
% 15.62/15.42 all M Na (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),Na))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,Na)),M))).
% 15.62/15.42 all N (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,N)),N))).
% 15.62/15.42 all M_1 N K_1 (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)),hAPP_nat_nat(suc,K_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),N)),K_1)).
% 15.62/15.42 all M_1 N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(suc,M_1)),hAPP_nat_nat(suc,N))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N)).
% 15.62/15.42 all Na K M (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),M))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),Na))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),K)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,Na),K)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),Na))))).
% 15.62/15.42 all N K_1 M_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),M_1))-> (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,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),K_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),K_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N))).
% 15.62/15.42 all Na K M (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),M))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),Na))-> (hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),K)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,Na),K)<->M=Na))).
% 15.62/15.42 all I_1 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_1),N))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),I_1))=I_1).
% 15.62/15.42 all L_1 M_1 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_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_1),L_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),L_1)))).
% 15.62/15.42 all L_1 M_1 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_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,L_1),N)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,L_1),M_1)))).
% 15.62/15.42 all M_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_1),N)),M_1)).
% 15.62/15.42 all B F A (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_a_a(F,A)))->hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B)))).
% 15.62/15.42 all B F A (hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A))-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_fun_int_bool_a(F,A)))->hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B)))).
% 15.62/15.42 all B F A (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A))-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_fun_nat_bool_a(F,A)))->hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B)))).
% 15.62/15.42 all B F A (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A))-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_876012084bool_a(F,A)))->hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B)))).
% 15.62/15.42 all B F A (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A))-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_fun_a_bool_a(F,A)))->hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B)))).
% 15.62/15.42 all B F A (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))-> (hBOOL(hAPP_f215623910l_bool(hAPP_f317860125l_bool(ord_le1848167016l_bool,B),image_1512837979t_bool(F,A)))->hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,B)))).
% 15.62/15.42 all B F A (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))-> (hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,B),image_2129980159t_bool(F,A)))->hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B)))).
% 15.62/15.42 all B F A (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))-> (hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,B),image_47868345e_bool(F,A)))->hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B)))).
% 15.62/15.42 all B F A (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))-> (hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,B),image_112932426a_bool(F,A)))->hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B)))).
% 15.62/15.42 all B F A (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))-> (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_pname_pname(F,A)))->hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B)))).
% 15.62/15.42 all B F A (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_nat_a(F,A)))->hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B)))).
% 15.62/15.42 all B F A (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))-> (hBOOL(hAPP_f215623910l_bool(hAPP_f317860125l_bool(ord_le1848167016l_bool,B),image_1556378401t_bool(F,A)))->hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,B)))).
% 15.62/15.42 all B F A (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))-> (hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,B),image_26036933t_bool(F,A)))->hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B)))).
% 15.62/15.42 all B F A (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))-> (hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,B),image_1655916159e_bool(F,A)))->hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B)))).
% 15.62/15.42 all B F A (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))-> (hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,B),image_nat_fun_a_bool(F,A)))->hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B)))).
% 15.62/15.42 all B F A (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))-> (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_nat_pname(F,A)))->hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B)))).
% 15.62/15.42 all B F A (hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_int_a(F,A)))->hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B)))).
% 15.62/15.42 all B F A (hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))-> (hBOOL(hAPP_f215623910l_bool(hAPP_f317860125l_bool(ord_le1848167016l_bool,B),image_275383677t_bool(F,A)))->hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,B)))).
% 15.62/15.42 all B F A (hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))-> (hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,B),image_892525857t_bool(F,A)))->hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B)))).
% 15.62/15.42 all B F A (hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))-> (hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,B),image_637364955e_bool(F,A)))->hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B)))).
% 15.62/15.42 all B F A (hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))-> (hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,B),image_int_fun_a_bool(F,A)))->hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B)))).
% 15.62/15.42 all B F A (hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))-> (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_int_pname(F,A)))->hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B)))).
% 15.62/15.42 all B F A (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))-> (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_a_pname(F,A)))->hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B)))).
% 15.62/15.42 all B F A (hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A))-> (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_62782965_pname(F,A)))->hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B)))).
% 15.62/15.42 all B F A (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A))-> (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_1921560913_pname(F,A)))->hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B)))).
% 15.62/15.42 all B F A (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A))-> (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_1283814551_pname(F,A)))->hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B)))).
% 15.62/15.42 all B F A (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A))-> (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_1854862208_pname(F,A)))->hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B)))).
% 15.62/15.42 all B F A (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),image_a_nat(F,A)))->hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B)))).
% 15.62/15.42 all B F A (hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A))-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),image_1431733819ol_nat(F,A)))->hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B)))).
% 15.62/15.42 all B F A (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A))-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),image_496248727ol_nat(F,A)))->hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B)))).
% 15.62/15.42 all B F A (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A))-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),image_1551609309ol_nat(F,A)))->hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B)))).
% 15.62/15.42 all B F A (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A))-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),image_fun_a_bool_nat(F,A)))->hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B)))).
% 15.62/15.42 all B F A (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))-> (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),image_a_int(F,A)))->hBOOL(hAPP_f448129468l_bool(finite_finite_int,B)))).
% 15.62/15.42 all B F A (hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A))-> (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),image_2069007511ol_int(F,A)))->hBOOL(hAPP_f448129468l_bool(finite_finite_int,B)))).
% 15.62/15.42 all B F A (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A))-> (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),image_1133522419ol_int(F,A)))->hBOOL(hAPP_f448129468l_bool(finite_finite_int,B)))).
% 15.62/15.42 all B F A (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A))-> (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),image_41399353ol_int(F,A)))->hBOOL(hAPP_f448129468l_bool(finite_finite_int,B)))).
% 15.62/15.42 all B F A (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A))-> (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),image_fun_a_bool_int(F,A)))->hBOOL(hAPP_f448129468l_bool(finite_finite_int,B)))).
% 15.62/15.42 all B F A (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_pname_a(F,A)))->hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B)))).
% 15.62/15.42 all B F A (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))-> (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),image_nat_int(F,A)))->hBOOL(hAPP_f448129468l_bool(finite_finite_int,B)))).
% 15.62/15.42 all F A B (is_fun_a_bool(B)-> (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B))-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_fun_int_bool_a(F,A)))-> (exists C_16 (hBOOL(hAPP_f215623910l_bool(hAPP_f317860125l_bool(ord_le1848167016l_bool,C_16),A))&hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,C_16))&B=image_fun_int_bool_a(F,C_16)))))).
% 15.62/15.42 all F A B (is_fun_a_bool(B)-> (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B))-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_fun_nat_bool_a(F,A)))-> (exists C_16 (hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,C_16),A))&hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,C_16))&B=image_fun_nat_bool_a(F,C_16)))))).
% 15.62/15.42 all F A B (is_fun_a_bool(B)-> (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B))-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_876012084bool_a(F,A)))-> (exists C_16 (is_fun1661590463l_bool(C_16)&hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,C_16),A))&hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,C_16))&B=image_876012084bool_a(F,C_16)))))).
% 15.62/15.42 all F A B (is_fun_a_bool(B)-> (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B))-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_fun_a_bool_a(F,A)))-> (exists C_16 (is_fun949378684l_bool(C_16)&hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,C_16),A))&hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,C_16))&B=image_fun_a_bool_a(F,C_16)))))).
% 15.62/15.42 all F A B (is_fun_a_bool(B)-> (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B))-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_a_a(F,A)))-> (exists C_16 (is_fun_a_bool(C_16)&hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,C_16),A))&hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,C_16))&B=image_a_a(F,C_16)))))).
% 15.62/15.42 all F A B (hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,B))-> (hBOOL(hAPP_f215623910l_bool(hAPP_f317860125l_bool(ord_le1848167016l_bool,B),image_a_fun_int_bool(F,A)))-> (exists C_16 (is_fun_a_bool(C_16)&hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,C_16),A))&hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,C_16))&B=image_a_fun_int_bool(F,C_16))))).
% 15.62/15.42 all F A B (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B))-> (hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,B),image_a_fun_nat_bool(F,A)))-> (exists C_16 (is_fun_a_bool(C_16)&hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,C_16),A))&hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,C_16))&B=image_a_fun_nat_bool(F,C_16))))).
% 15.62/15.42 all F A B (is_fun1661590463l_bool(B)-> (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B))-> (hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,B),image_819518260e_bool(F,A)))-> (exists C_16 (is_fun_a_bool(C_16)&hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,C_16),A))&hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,C_16))&B=image_819518260e_bool(F,C_16)))))).
% 15.62/15.42 all F A B (is_fun949378684l_bool(B)-> (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B))-> (hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,B),image_a_fun_a_bool(F,A)))-> (exists C_16 (is_fun_a_bool(C_16)&hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,C_16),A))&hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,C_16))&B=image_a_fun_a_bool(F,C_16)))))).
% 15.62/15.42 all F A B (is_fun_pname_bool(B)-> (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B))-> (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_a_pname(F,A)))-> (exists C_16 (is_fun_a_bool(C_16)&hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,C_16),A))&hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,C_16))&B=image_a_pname(F,C_16)))))).
% 15.62/15.42 all F A B (is_fun_pname_bool(B)-> (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B))-> (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_62782965_pname(F,A)))-> (exists C_16 (hBOOL(hAPP_f215623910l_bool(hAPP_f317860125l_bool(ord_le1848167016l_bool,C_16),A))&hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,C_16))&B=image_62782965_pname(F,C_16)))))).
% 15.62/15.42 all F A B (is_fun_pname_bool(B)-> (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B))-> (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_1921560913_pname(F,A)))-> (exists C_16 (hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,C_16),A))&hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,C_16))&B=image_1921560913_pname(F,C_16)))))).
% 15.62/15.42 all F A B (is_fun_pname_bool(B)-> (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B))-> (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_1283814551_pname(F,A)))-> (exists C_16 (is_fun1661590463l_bool(C_16)&hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,C_16),A))&hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,C_16))&B=image_1283814551_pname(F,C_16)))))).
% 15.62/15.42 all F A B (is_fun_pname_bool(B)-> (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B))-> (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_1854862208_pname(F,A)))-> (exists C_16 (is_fun949378684l_bool(C_16)&hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,C_16),A))&hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,C_16))&B=image_1854862208_pname(F,C_16)))))).
% 15.62/15.42 all F A B (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B))-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),image_a_nat(F,A)))-> (exists C_16 (is_fun_a_bool(C_16)&hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,C_16),A))&hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,C_16))&B=image_a_nat(F,C_16))))).
% 15.62/15.42 all F A B (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B))-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),image_1431733819ol_nat(F,A)))-> (exists C_16 (hBOOL(hAPP_f215623910l_bool(hAPP_f317860125l_bool(ord_le1848167016l_bool,C_16),A))&hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,C_16))&B=image_1431733819ol_nat(F,C_16))))).
% 15.62/15.42 all F A B (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B))-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),image_496248727ol_nat(F,A)))-> (exists C_16 (hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,C_16),A))&hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,C_16))&B=image_496248727ol_nat(F,C_16))))).
% 15.62/15.43 all F A B (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B))-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),image_1551609309ol_nat(F,A)))-> (exists C_16 (is_fun1661590463l_bool(C_16)&hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,C_16),A))&hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,C_16))&B=image_1551609309ol_nat(F,C_16))))).
% 15.62/15.43 all F A B (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B))-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),image_fun_a_bool_nat(F,A)))-> (exists C_16 (is_fun949378684l_bool(C_16)&hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,C_16),A))&hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,C_16))&B=image_fun_a_bool_nat(F,C_16))))).
% 15.62/15.43 all F A B (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B))-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),image_pname_nat(F,A)))-> (exists C_16 (is_fun_pname_bool(C_16)&hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,C_16),A))&hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,C_16))&B=image_pname_nat(F,C_16))))).
% 15.62/15.43 all F A B (hBOOL(hAPP_f448129468l_bool(finite_finite_int,B))-> (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),image_a_int(F,A)))-> (exists C_16 (is_fun_a_bool(C_16)&hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,C_16),A))&hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,C_16))&B=image_a_int(F,C_16))))).
% 15.62/15.43 all F A B (hBOOL(hAPP_f448129468l_bool(finite_finite_int,B))-> (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),image_2069007511ol_int(F,A)))-> (exists C_16 (hBOOL(hAPP_f215623910l_bool(hAPP_f317860125l_bool(ord_le1848167016l_bool,C_16),A))&hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,C_16))&B=image_2069007511ol_int(F,C_16))))).
% 15.62/15.43 all F A B (hBOOL(hAPP_f448129468l_bool(finite_finite_int,B))-> (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),image_1133522419ol_int(F,A)))-> (exists C_16 (hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,C_16),A))&hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,C_16))&B=image_1133522419ol_int(F,C_16))))).
% 15.62/15.43 all F A B (hBOOL(hAPP_f448129468l_bool(finite_finite_int,B))-> (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),image_41399353ol_int(F,A)))-> (exists C_16 (is_fun1661590463l_bool(C_16)&hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,C_16),A))&hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,C_16))&B=image_41399353ol_int(F,C_16))))).
% 15.62/15.43 all F A B (hBOOL(hAPP_f448129468l_bool(finite_finite_int,B))-> (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),image_fun_a_bool_int(F,A)))-> (exists C_16 (is_fun949378684l_bool(C_16)&hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,C_16),A))&hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,C_16))&B=image_fun_a_bool_int(F,C_16))))).
% 15.62/15.43 all F A B (hBOOL(hAPP_f448129468l_bool(finite_finite_int,B))-> (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),image_pname_int(F,A)))-> (exists C_16 (is_fun_pname_bool(C_16)&hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,C_16),A))&hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,C_16))&B=image_pname_int(F,C_16))))).
% 15.62/15.43 all F A B (hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,B))-> (hBOOL(hAPP_f215623910l_bool(hAPP_f317860125l_bool(ord_le1848167016l_bool,B),image_1512837979t_bool(F,A)))-> (exists C_16 (is_fun_pname_bool(C_16)&hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,C_16),A))&hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,C_16))&B=image_1512837979t_bool(F,C_16))))).
% 15.62/15.43 all F A B (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B))-> (hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,B),image_2129980159t_bool(F,A)))-> (exists C_16 (is_fun_pname_bool(C_16)&hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,C_16),A))&hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,C_16))&B=image_2129980159t_bool(F,C_16))))).
% 15.62/15.43 all F A B (is_fun1661590463l_bool(B)-> (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B))-> (hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,B),image_47868345e_bool(F,A)))-> (exists C_16 (is_fun_pname_bool(C_16)&hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,C_16),A))&hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,C_16))&B=image_47868345e_bool(F,C_16)))))).
% 15.62/15.43 all F A B (is_fun949378684l_bool(B)-> (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B))-> (hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,B),image_112932426a_bool(F,A)))-> (exists C_16 (is_fun_pname_bool(C_16)&hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,C_16),A))&hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,C_16))&B=image_112932426a_bool(F,C_16)))))).
% 15.62/15.43 all F A B (is_fun_pname_bool(B)-> (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B))-> (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_pname_pname(F,A)))-> (exists C_16 (is_fun_pname_bool(C_16)&hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,C_16),A))&hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,C_16))&B=image_pname_pname(F,C_16)))))).
% 15.62/15.43 all F A B (is_fun_a_bool(B)-> (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B))-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_nat_a(F,A)))-> (exists C_16 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,C_16),A))&hBOOL(hAPP_f54304608l_bool(finite_finite_nat,C_16))&B=image_nat_a(F,C_16)))))).
% 15.62/15.43 all F A B (hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,B))-> (hBOOL(hAPP_f215623910l_bool(hAPP_f317860125l_bool(ord_le1848167016l_bool,B),image_1556378401t_bool(F,A)))-> (exists C_16 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,C_16),A))&hBOOL(hAPP_f54304608l_bool(finite_finite_nat,C_16))&B=image_1556378401t_bool(F,C_16))))).
% 15.62/15.43 all F A B (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B))-> (hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,B),image_26036933t_bool(F,A)))-> (exists C_16 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,C_16),A))&hBOOL(hAPP_f54304608l_bool(finite_finite_nat,C_16))&B=image_26036933t_bool(F,C_16))))).
% 15.62/15.43 all F A B (is_fun1661590463l_bool(B)-> (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B))-> (hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,B),image_1655916159e_bool(F,A)))-> (exists C_16 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,C_16),A))&hBOOL(hAPP_f54304608l_bool(finite_finite_nat,C_16))&B=image_1655916159e_bool(F,C_16)))))).
% 15.62/15.43 all F A B (is_fun949378684l_bool(B)-> (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B))-> (hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,B),image_nat_fun_a_bool(F,A)))-> (exists C_16 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,C_16),A))&hBOOL(hAPP_f54304608l_bool(finite_finite_nat,C_16))&B=image_nat_fun_a_bool(F,C_16)))))).
% 15.62/15.43 all F A B (is_fun_pname_bool(B)-> (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B))-> (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_nat_pname(F,A)))-> (exists C_16 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,C_16),A))&hBOOL(hAPP_f54304608l_bool(finite_finite_nat,C_16))&B=image_nat_pname(F,C_16)))))).
% 15.62/15.43 all F A B (is_fun_a_bool(B)-> (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B))-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_int_a(F,A)))-> (exists C_16 (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,C_16),A))&hBOOL(hAPP_f448129468l_bool(finite_finite_int,C_16))&B=image_int_a(F,C_16)))))).
% 15.62/15.43 all F A B (hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,B))-> (hBOOL(hAPP_f215623910l_bool(hAPP_f317860125l_bool(ord_le1848167016l_bool,B),image_275383677t_bool(F,A)))-> (exists C_16 (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,C_16),A))&hBOOL(hAPP_f448129468l_bool(finite_finite_int,C_16))&B=image_275383677t_bool(F,C_16))))).
% 15.62/15.43 all F A B (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B))-> (hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,B),image_892525857t_bool(F,A)))-> (exists C_16 (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,C_16),A))&hBOOL(hAPP_f448129468l_bool(finite_finite_int,C_16))&B=image_892525857t_bool(F,C_16))))).
% 15.62/15.43 all F A B (is_fun1661590463l_bool(B)-> (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B))-> (hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,B),image_637364955e_bool(F,A)))-> (exists C_16 (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,C_16),A))&hBOOL(hAPP_f448129468l_bool(finite_finite_int,C_16))&B=image_637364955e_bool(F,C_16)))))).
% 15.62/15.43 all F A B (is_fun949378684l_bool(B)-> (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B))-> (hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,B),image_int_fun_a_bool(F,A)))-> (exists C_16 (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,C_16),A))&hBOOL(hAPP_f448129468l_bool(finite_finite_int,C_16))&B=image_int_fun_a_bool(F,C_16)))))).
% 15.62/15.43 all F A B (is_fun_pname_bool(B)-> (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B))-> (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_int_pname(F,A)))-> (exists C_16 (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,C_16),A))&hBOOL(hAPP_f448129468l_bool(finite_finite_int,C_16))&B=image_int_pname(F,C_16)))))).
% 15.62/15.43 all F A B (is_fun_a_bool(B)-> (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B))-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_pname_a(F,A)))-> (exists C_16 (is_fun_pname_bool(C_16)&hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,C_16),A))&hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,C_16))&B=image_pname_a(F,C_16)))))).
% 15.62/15.43 all F A B (hBOOL(hAPP_f448129468l_bool(finite_finite_int,B))-> (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),image_nat_int(F,A)))-> (exists C_16 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,C_16),A))&hBOOL(hAPP_f54304608l_bool(finite_finite_nat,C_16))&B=image_nat_int(F,C_16))))).
% 15.62/15.43 all Na N_3 F ((all N_1 hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_n1025906991e_bool(F,N_1)),hAPP_n1025906991e_bool(F,hAPP_nat_nat(suc,N_1)))))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Na),N_3))->hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_n1025906991e_bool(F,Na)),hAPP_n1025906991e_bool(F,N_3))))).
% 15.62/15.43 all Na N_3 F ((all N_1 hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,hAPP_nat_bool(F,N_1)),hAPP_nat_bool(F,hAPP_nat_nat(suc,N_1)))))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Na),N_3))->hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,hAPP_nat_bool(F,Na)),hAPP_nat_bool(F,N_3))))).
% 15.62/15.43 all Na N_3 F ((all N_1 hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_nat_fun_a_bool(F,N_1)),hAPP_nat_fun_a_bool(F,hAPP_nat_nat(suc,N_1)))))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Na),N_3))->hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_nat_fun_a_bool(F,Na)),hAPP_nat_fun_a_bool(F,N_3))))).
% 15.62/15.43 all Na N_3 F ((all N_1 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(F,N_1)),hAPP_nat_nat(F,hAPP_nat_nat(suc,N_1)))))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Na),N_3))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(F,Na)),hAPP_nat_nat(F,N_3))))).
% 15.62/15.43 all Na N_3 F ((all N_1 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(F,N_1)),hAPP_nat_int(F,hAPP_nat_nat(suc,N_1)))))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Na),N_3))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(F,Na)),hAPP_nat_int(F,N_3))))).
% 15.62/15.43 all Na N_3 F ((all N_1 hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_n1699378549t_bool(F,N_1)),hAPP_n1699378549t_bool(F,hAPP_nat_nat(suc,N_1)))))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Na),N_3))->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_n1699378549t_bool(F,Na)),hAPP_n1699378549t_bool(F,N_3))))).
% 15.62/15.43 all Na N_3 F ((all N_1 hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,hAPP_n1082236369t_bool(F,N_1)),hAPP_n1082236369t_bool(F,hAPP_nat_nat(suc,N_1)))))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Na),N_3))->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,hAPP_n1082236369t_bool(F,Na)),hAPP_n1082236369t_bool(F,N_3))))).
% 15.62/15.43 all F A (-hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))-> (hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,image_1556378401t_bool(F,A)))-> (exists X_2 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),A))& -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),A)),hAPP_f274826591t_bool(cOMBC_620423604l_bool(cOMBB_1123824708ol_nat(fe_qual_fun_int_bool,F)),hAPP_n1082236369t_bool(F,X_2)))))))))).
% 15.62/15.43 all F A (-hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))-> (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_26036933t_bool(F,A)))-> (exists X_2 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),A))& -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),A)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(cOMBB_2026977092ol_nat(fe_qual_fun_nat_bool,F)),hAPP_n1699378549t_bool(F,X_2)))))))))).
% 15.62/15.43 all F A (-hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))-> (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_1655916159e_bool(F,A)))-> (exists X_2 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),A))& -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),A)),hAPP_f1066163005t_bool(cOMBC_386238098l_bool(cOMBB_2117322052ol_nat(fe_qual533582459e_bool,F)),hAPP_n1025906991e_bool(F,X_2)))))))))).
% 15.62/15.43 all F A (-hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))-> (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_nat_fun_a_bool(F,A)))-> (exists X_2 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),A))& -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),A)),hAPP_f282463732t_bool(cOMBC_1928494297l_bool(cOMBB_1823939024ol_nat(fe_qual_fun_a_bool,F)),hAPP_nat_fun_a_bool(F,X_2)))))))))).
% 15.62/15.43 all F A (-hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))-> (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_int_a(F,A)))-> (exists X_2 (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),A))& -hBOOL(hAPP_f448129468l_bool(finite_finite_int,collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fconj,hAPP_f1805168059t_bool(cOMBC_94739984l_bool(member_int),A)),hAPP_a_fun_int_bool(cOMBC_int_a_bool(cOMBB_375279840ol_int(fe_qual_a,F)),hAPP_int_a(F,X_2)))))))))).
% 15.62/15.43 all F A (-hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))-> (hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,image_275383677t_bool(F,A)))-> (exists X_2 (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),A))& -hBOOL(hAPP_f448129468l_bool(finite_finite_int,collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fconj,hAPP_f1805168059t_bool(cOMBC_94739984l_bool(member_int),A)),hAPP_f1805168059t_bool(cOMBC_94739984l_bool(cOMBB_1761098400ol_int(fe_qual_fun_int_bool,F)),hAPP_i1948725293t_bool(F,X_2)))))))))).
% 15.62/15.43 all F A (-hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))-> (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_892525857t_bool(F,A)))-> (exists X_2 (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),A))& -hBOOL(hAPP_f448129468l_bool(finite_finite_int,collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fconj,hAPP_f1805168059t_bool(cOMBC_94739984l_bool(member_int),A)),hAPP_f183368031t_bool(cOMBC_1848398772l_bool(cOMBB_516767136ol_int(fe_qual_fun_nat_bool,F)),hAPP_i418383825t_bool(F,X_2)))))))))).
% 15.62/15.43 all F A (-hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))-> (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_637364955e_bool(F,A)))-> (exists X_2 (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),A))& -hBOOL(hAPP_f448129468l_bool(finite_finite_int,collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fconj,hAPP_f1805168059t_bool(cOMBC_94739984l_bool(member_int),A)),hAPP_f449020825t_bool(cOMBC_316919022l_bool(cOMBB_607112096ol_int(fe_qual533582459e_bool,F)),hAPP_i7355787e_bool(F,X_2)))))))))).
% 15.62/15.43 all F A (-hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))-> (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_int_fun_a_bool(F,A)))-> (exists X_2 (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),A))& -hBOOL(hAPP_f448129468l_bool(finite_finite_int,collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fconj,hAPP_f1805168059t_bool(cOMBC_94739984l_bool(member_int),A)),hAPP_f1812805200t_bool(cOMBC_1753430397l_bool(cOMBB_313729068ol_int(fe_qual_fun_a_bool,F)),hAPP_int_fun_a_bool(F,X_2)))))))))).
% 15.62/15.43 all F A (-hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))-> (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_pname_a(F,A)))-> (exists X_2 (is_pname(X_2)&hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),A))& -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),A)),hAPP_a93125764e_bool(cOMBC_pname_a_bool(cOMBB_1897541054_pname(fe_qual_a,F)),hAPP_pname_a(F,X_2)))))))))).
% 15.62/15.43 all F A (-hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))-> (hBOOL(hAPP_f448129468l_bool(finite_finite_int,image_nat_int(F,A)))-> (exists X_2 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),A))& -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),A)),hAPP_i418383825t_bool(cOMBC_nat_int_bool(cOMBB_1628441366ol_nat(fe_qual_int,F)),hAPP_nat_int(F,X_2)))))))))).
% 15.62/15.43 all A B_3 F X_1 (B_3=hAPP_nat_int(F,X_1)-> (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,B_3),image_nat_int(F,A))))).
% 15.62/15.43 all A B_3 F X_1 (B_3=hAPP_pname_a(F,X_1)-> (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))->hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,B_3),image_pname_a(F,A))))).
% 15.62/15.43 all A B (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B))-> (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),A))->A=B)).
% 15.62/15.43 all A B (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B))-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),A))->A=B)).
% 15.62/15.43 all A B (is_fun_a_bool(A)&is_fun_a_bool(B)-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B))-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),A))->A=B))).
% 15.62/15.43 all C_6 A B (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,C_6),A))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,C_6),B)))).
% 15.62/15.43 all C_6 A B (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B))-> (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_6),A))->hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_6),B)))).
% 15.62/15.43 all C_6 A B (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B))-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,C_6),A))->hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,C_6),B)))).
% 15.62/15.43 all C_6 A B (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B))-> (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C_6),A))->hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C_6),B)))).
% 15.62/15.43 all B_3 A_2 B ((-hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_2),B))->A_2=B_3)->hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_2),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,B_3),B)))).
% 15.62/15.43 all B_3 A_2 B ((-hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_2),B))->A_2=B_3)->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_2),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,B_3),B)))).
% 15.62/15.43 all B_3 A_2 B ((-hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_2),B))->A_2=B_3)->hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_2),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,B_3),B)))).
% 15.62/15.43 all B_3 A_2 B ((-hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_2),B))->A_2=B_3)->hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,B_3),B)))).
% 15.62/15.43 all A_2 B_3 A (is_a(A_2)&is_a(B_3)-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_2),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,B_3),A)))-> (A_2!=B_3->hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_2),A))))).
% 15.62/15.43 all A_2 B_3 A (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_2),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,B_3),A)))-> (A_2!=B_3->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_2),A)))).
% 15.62/15.43 all A_2 B_3 A (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_2),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,B_3),A)))-> (A_2!=B_3->hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_2),A)))).
% 15.62/15.43 all A_2 B_3 A (is_pname(A_2)&is_pname(B_3)-> (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,B_3),A)))-> (A_2!=B_3->hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_2),A))))).
% 15.62/15.43 all I_2 Pa K (hBOOL(hAPP_nat_bool(Pa,K))-> ((all N_1 (hBOOL(hAPP_nat_bool(Pa,hAPP_nat_nat(suc,N_1)))->hBOOL(hAPP_nat_bool(Pa,N_1))))->hBOOL(hAPP_nat_bool(Pa,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,K),I_2))))).
% 15.62/15.43 all N M_4 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,N)),M_4))-> (exists M_2 (M_4=hAPP_nat_nat(suc,M_2)))).
% 15.62/15.43 all X_1 hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,X_1),X_1)).
% 15.62/15.43 all X_1 hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_1),X_1)).
% 15.62/15.43 all X_11 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_11),X_11)).
% 15.62/15.43 all X_11 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_11),X_11)).
% 15.62/15.43 all X_1 hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X_1),X_1)).
% 15.62/15.43 all X_10 Y_9 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_10),Y_9))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_9),X_10))).
% 15.62/15.43 all X_10 Y_9 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_10),Y_9))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_9),X_10))).
% 15.62/15.43 all X_1 Y_1 (X_1=Y_1<->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,X_1),Y_1))&hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Y_1),X_1))).
% 15.62/15.43 all X_1 Y_1 (X_1=Y_1<->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_1),Y_1))&hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Y_1),X_1))).
% 15.62/15.43 all X_1 Y_1 (X_1=Y_1<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_1))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_1),X_1))).
% 15.62/15.43 all X_1 Y_1 (X_1=Y_1<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_1))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_1),X_1))).
% 15.62/15.43 all X_1 Y_1 (is_fun_a_bool(X_1)&is_fun_a_bool(Y_1)-> (X_1=Y_1<->hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X_1),Y_1))&hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,Y_1),X_1)))).
% 15.62/15.43 all X_1 Y_1 (X_1=Y_1->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,X_1),Y_1))).
% 15.62/15.43 all X_1 Y_1 (X_1=Y_1->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_1),Y_1))).
% 15.62/15.43 all X_9 Y_8 (X_9=Y_8->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_9),Y_8))).
% 15.62/15.43 all X_9 Y_8 (X_9=Y_8->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_9),Y_8))).
% 15.62/15.43 all X_1 Y_1 (X_1=Y_1->hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X_1),Y_1))).
% 15.62/15.43 all Y_1 X_1 (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Y_1),X_1))-> (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,X_1),Y_1))<->X_1=Y_1)).
% 15.62/15.43 all Y_1 X_1 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Y_1),X_1))-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_1),Y_1))<->X_1=Y_1)).
% 15.62/15.43 all Y_1 X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_1),X_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_1))<->X_1=Y_1)).
% 15.62/15.43 all Y_1 X_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_1),X_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_1))<->X_1=Y_1)).
% 15.62/15.43 all Y_1 X_1 (is_fun_a_bool(Y_1)&is_fun_a_bool(X_1)-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,Y_1),X_1))-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X_1),Y_1))<->X_1=Y_1))).
% 15.62/15.43 all C_6 A_2 B_3 (A_2=B_3-> (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B_3),C_6))->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A_2),C_6)))).
% 15.62/15.43 all C_6 A_2 B_3 (A_2=B_3-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_3),C_6))->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_2),C_6)))).
% 15.62/15.43 all C_15 A_21 B_19 (A_21=B_19-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_19),C_15))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_21),C_15)))).
% 15.62/15.43 all C_15 A_21 B_19 (A_21=B_19-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_19),C_15))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_21),C_15)))).
% 15.62/15.43 all C_6 A_2 B_3 (A_2=B_3-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_3),C_6))->hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_2),C_6)))).
% 15.62/15.43 all C_6 A_2 B_3 (A_2=B_3-> (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,C_6),B_3))->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,C_6),A_2)))).
% 15.62/15.43 all C_6 A_2 B_3 (A_2=B_3-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,C_6),B_3))->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,C_6),A_2)))).
% 15.62/15.43 all C_14 A_20 B_18 (A_20=B_18-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_14),B_18))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_14),A_20)))).
% 15.62/15.43 all C_14 A_20 B_18 (A_20=B_18-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_14),B_18))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_14),A_20)))).
% 15.62/15.43 all C_6 A_2 B_3 (A_2=B_3-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,C_6),B_3))->hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,C_6),A_2)))).
% 15.62/15.43 all C_6 A_2 B_3 (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A_2),B_3))-> (B_3=C_6->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A_2),C_6)))).
% 15.62/15.43 all C_6 A_2 B_3 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_2),B_3))-> (B_3=C_6->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_2),C_6)))).
% 15.62/15.43 all C_13 A_19 B_17 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_19),B_17))-> (B_17=C_13->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_19),C_13)))).
% 15.62/15.43 all C_13 A_19 B_17 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_19),B_17))-> (B_17=C_13->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_19),C_13)))).
% 15.62/15.43 all C_6 A_2 B_3 (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_2),B_3))-> (B_3=C_6->hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_2),C_6)))).
% 15.62/15.43 all C_6 B_3 A_2 (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B_3),A_2))-> (B_3=C_6->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,C_6),A_2)))).
% 15.62/15.43 all C_6 B_3 A_2 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_3),A_2))-> (B_3=C_6->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,C_6),A_2)))).
% 15.62/15.43 all C_12 B_16 A_18 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_16),A_18))-> (B_16=C_12->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_12),A_18)))).
% 15.62/15.43 all C_12 B_16 A_18 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_16),A_18))-> (B_16=C_12->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_12),A_18)))).
% 15.62/15.43 all C_6 B_3 A_2 (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_3),A_2))-> (B_3=C_6->hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,C_6),A_2)))).
% 15.62/15.43 all X_1 Y_1 (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,X_1),Y_1))-> (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Y_1),X_1))->X_1=Y_1)).
% 15.62/15.43 all X_1 Y_1 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_1),Y_1))-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Y_1),X_1))->X_1=Y_1)).
% 15.62/15.43 all X_8 Y_7 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_8),Y_7))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_7),X_8))->X_8=Y_7)).
% 15.62/15.43 all X_8 Y_7 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_8),Y_7))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_7),X_8))->X_8=Y_7)).
% 15.62/15.43 all X_1 Y_1 (is_fun_a_bool(X_1)&is_fun_a_bool(Y_1)-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X_1),Y_1))-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,Y_1),X_1))->X_1=Y_1))).
% 15.62/15.43 all Z_2 X_1 Y_1 (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,X_1),Y_1))-> (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Y_1),Z_2))->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,X_1),Z_2)))).
% 15.62/15.43 all Z_2 X_1 Y_1 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_1),Y_1))-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Y_1),Z_2))->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_1),Z_2)))).
% 15.62/15.43 all Z_6 X_7 Y_6 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_7),Y_6))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_6),Z_6))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_7),Z_6)))).
% 15.62/15.43 all Z_6 X_7 Y_6 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_7),Y_6))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_6),Z_6))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_7),Z_6)))).
% 15.62/15.43 all Z_2 X_1 Y_1 (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X_1),Y_1))-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,Y_1),Z_2))->hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X_1),Z_2)))).
% 15.62/15.43 all Y_1 X_1 (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Y_1),X_1))-> (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,X_1),Y_1))->X_1=Y_1)).
% 15.62/15.43 all Y_1 X_1 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Y_1),X_1))-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_1),Y_1))->X_1=Y_1)).
% 15.62/15.43 all Y_5 X_6 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_5),X_6))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_6),Y_5))->X_6=Y_5)).
% 15.62/15.43 all Y_5 X_6 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_5),X_6))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_6),Y_5))->X_6=Y_5)).
% 15.62/15.43 all Y_1 X_1 (is_fun_a_bool(Y_1)&is_fun_a_bool(X_1)-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,Y_1),X_1))-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X_1),Y_1))->X_1=Y_1))).
% 15.62/15.43 all Z_2 Y_1 X_1 (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Y_1),X_1))-> (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Z_2),Y_1))->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Z_2),X_1)))).
% 15.62/15.43 all Z_2 Y_1 X_1 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Y_1),X_1))-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Z_2),Y_1))->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Z_2),X_1)))).
% 15.62/15.43 all Z_5 Y_4 X_5 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_4),X_5))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z_5),Y_4))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z_5),X_5)))).
% 15.62/15.43 all Z_5 Y_4 X_5 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_4),X_5))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Z_5),Y_4))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Z_5),X_5)))).
% 15.62/15.43 all Z_2 Y_1 X_1 (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,Y_1),X_1))-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,Z_2),Y_1))->hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,Z_2),X_1)))).
% 15.62/15.43 all X_4 Y_3 (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_4),Y_3))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_3),X_4))).
% 15.62/15.43 all X_4 Y_3 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_4),Y_3))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_3),X_4))).
% 15.62/15.43 all A_2 B hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_2),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),B))).
% 15.62/15.43 all A_2 B hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_2),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),B))).
% 15.62/15.43 all A_2 B hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_2),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),B))).
% 15.62/15.43 all A_2 B hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A_2),B))).
% 15.62/15.43 all A_2 B (hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),B)=collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fe_qual_a),A_2)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),B)))).
% 15.62/15.43 all A_2 B (hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),B)=collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fdisj,hAPP_i1948725293t_bool(cOMBC_int_int_bool(fe_qual_int),A_2)),hAPP_f1805168059t_bool(cOMBC_94739984l_bool(member_int),B)))).
% 15.62/15.43 all A_2 B (hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),B)=collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fe_qual_nat),A_2)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),B)))).
% 15.62/15.43 all A_2 B (hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A_2),B)=collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fe_qual_pname),A_2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),B)))).
% 15.62/15.43 all A_2 Pa (hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),collect_a(Pa))=collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fimplies,cOMBB_bool_bool_a(fNot,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fe_qual_a),A_2))),Pa))).
% 15.62/15.43 all A_2 Pa (hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),collect_int(Pa))=collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fimplies,cOMBB_bool_bool_int(fNot,hAPP_i1948725293t_bool(cOMBC_int_int_bool(fe_qual_int),A_2))),Pa))).
% 15.62/15.43 all A_2 Pa (hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),collect_nat(Pa))=collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fimplies,cOMBB_bool_bool_nat(fNot,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fe_qual_nat),A_2))),Pa))).
% 15.62/15.43 all X_1 A (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A))<->hBOOL(hAPP_int_bool(A,X_1))).
% 15.62/15.43 all X_1 A (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))<->hBOOL(hAPP_nat_bool(A,X_1))).
% 15.62/15.43 all X_1 A (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A))<->hBOOL(hAPP_a_bool(A,X_1))).
% 15.62/15.43 all X_1 A (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))<->hBOOL(hAPP_pname_bool(A,X_1))).
% 15.62/15.43 all Pa (collect_int(Pa)=Pa).
% 15.62/15.43 all Pa (collect_nat(Pa)=Pa).
% 15.62/15.43 all X_1 A (hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),A))=hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),A)).
% 15.62/15.43 all X_1 Y_1 A (hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,Y_1),A))=hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,Y_1),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),A))).
% 15.62/15.43 all A_2 B_3 A (is_a(A_2)&is_a(B_3)-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_2),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,B_3),A)))<->A_2=B_3|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_2),A)))).
% 15.62/15.43 all A_2 B_3 A (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_2),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,B_3),A)))<->A_2=B_3|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_2),A))).
% 15.62/15.43 all A_2 B_3 A (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_2),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,B_3),A)))<->A_2=B_3|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_2),A))).
% 15.62/15.43 all A_2 B_3 A (is_pname(A_2)&is_pname(B_3)-> (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,B_3),A)))<->A_2=B_3|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_2),A)))).
% 15.62/15.43 all Y_1 A X_1 (is_a(Y_1)&is_a(X_1)-> (hBOOL(hAPP_a_bool(hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,Y_1),A),X_1))<->Y_1=X_1|hBOOL(hAPP_a_bool(A,X_1)))).
% 15.62/15.43 all B X_1 A (is_fun_a_bool(B)&is_fun_a_bool(A)-> (-hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A))-> (-hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),B))-> (hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),A)=hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),B)<->A=B)))).
% 15.62/15.43 all B X_1 A (-hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A))-> (-hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),B))-> (hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),A)=hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),B)<->A=B))).
% 15.62/15.43 all B X_1 A (-hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))-> (-hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),B))-> (hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),A)=hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),B)<->A=B))).
% 15.62/15.43 all B X_1 A (is_fun_pname_bool(B)&is_fun_pname_bool(A)-> (-hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))-> (-hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),B))-> (hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),A)=hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),B)<->A=B)))).
% 15.62/15.43 all B_3 A_2 B (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_2),B))->hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_2),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,B_3),B)))).
% 15.62/15.43 all B_3 A_2 B (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_2),B))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_2),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,B_3),B)))).
% 15.62/15.43 all B_3 A_2 B (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_2),B))->hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_2),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,B_3),B)))).
% 15.62/15.43 all B_3 A_2 B (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_2),B))->hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,B_3),B)))).
% 15.62/15.43 all A_2 A (is_fun_a_bool(A)-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_2),A))->hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),A)=A)).
% 15.62/15.43 all A_2 A (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_2),A))->hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),A)=A).
% 15.62/15.43 all A_2 A (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_2),A))->hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),A)=A).
% 15.62/15.43 all A_2 A (is_fun_pname_bool(A)-> (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_2),A))->hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A_2),A)=A)).
% 15.62/15.43 all A hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),A)).
% 15.62/15.43 all A hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),A)).
% 15.62/15.43 all A hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),A)).
% 15.62/15.43 all A B (A=B<->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B))&hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),A))).
% 15.62/15.43 all A B (A=B<->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B))&hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),A))).
% 15.62/15.43 all A B (is_fun_a_bool(A)&is_fun_a_bool(B)-> (A=B<->hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B))&hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),A)))).
% 15.62/15.43 all A B (A=B->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B))).
% 15.62/15.43 all A B (A=B->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B))).
% 15.62/15.43 all A B (A=B->hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B))).
% 15.62/15.43 all A B (A=B->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),A))).
% 15.62/15.43 all A B (A=B->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),A))).
% 15.62/15.43 all A B (A=B->hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),A))).
% 15.62/15.43 all X_1 A B (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),B)))).
% 15.62/15.43 all X_1 A B (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B))-> (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))->hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),B)))).
% 15.62/15.43 all X_1 A B (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B))-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A))->hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),B)))).
% 15.62/15.43 all X_1 A B (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B))-> (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))->hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),B)))).
% 15.62/15.43 all B X_1 A (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A))-> (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),B)))).
% 15.62/15.43 all B X_1 A (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B))->hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),B)))).
% 15.62/15.43 all B X_1 A (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A))-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B))->hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),B)))).
% 15.62/15.43 all B X_1 A (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))-> (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B))->hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),B)))).
% 15.62/15.43 all X_1 A B (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),B)))).
% 15.62/15.43 all X_1 A B (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B))-> (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))->hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),B)))).
% 15.62/15.43 all X_1 A B (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B))-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A))->hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),B)))).
% 15.62/15.43 all X_1 A B (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B))-> (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))->hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),B)))).
% 15.62/15.43 all C_11 A B (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B))-> (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),C_11))->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),C_11)))).
% 15.62/15.43 all C_11 A B (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B))-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),C_11))->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),C_11)))).
% 15.62/15.43 all C_11 A B (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B))-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),C_11))->hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),C_11)))).
% 15.62/15.43 all A B (A=B-> -(hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B))-> -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),A)))).
% 15.62/15.43 all A B (A=B-> -(hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B))-> -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),A)))).
% 15.62/15.43 all A B (A=B-> -(hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B))-> -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),A)))).
% 15.62/15.43 all Z_2 F A (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Z_2),image_nat_int(F,A)))<-> (exists X_2 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),A))&Z_2=hAPP_nat_int(F,X_2)))).
% 15.62/15.43 all Z_2 F A (is_a(Z_2)-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,Z_2),image_pname_a(F,A)))<-> (exists X_2 (is_pname(X_2)&hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),A))&Z_2=hAPP_pname_a(F,X_2))))).
% 15.62/15.43 all F 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(F,X_1)),image_nat_int(F,A)))).
% 15.62/15.43 all F X_1 A (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))->hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(F,X_1)),image_pname_a(F,A)))).
% 15.62/15.43 all B_3 F X_1 A (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))-> (B_3=hAPP_nat_int(F,X_1)->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,B_3),image_nat_int(F,A))))).
% 15.62/15.43 all B_3 F X_1 A (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))-> (B_3=hAPP_pname_a(F,X_1)->hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,B_3),image_pname_a(F,A))))).
% 15.62/15.43 all X_2 Xa (hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_2),Xa)=collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fe_qual_a),X_2)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),Xa)))).
% 15.62/15.43 all X_2 Xa (hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_2),Xa)=collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fdisj,hAPP_i1948725293t_bool(cOMBC_int_int_bool(fe_qual_int),X_2)),hAPP_f1805168059t_bool(cOMBC_94739984l_bool(member_int),Xa)))).
% 15.62/15.43 all X_2 Xa (hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_2),Xa)=collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fe_qual_nat),X_2)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),Xa)))).
% 15.62/15.43 all X_2 Xa (hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_2),Xa)=collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fe_qual_pname),X_2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),Xa)))).
% 15.62/15.43 all F G_1 (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,F),G_1))<-> (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_1,X_2))))).
% 15.62/15.43 all F G_1 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,F),G_1))<-> (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_1,X_2))))).
% 15.62/15.43 all F G_1 (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,F),G_1))<-> (all X_2 (is_a(X_2)->hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,hAPP_a_bool(F,X_2)),hAPP_a_bool(G_1,X_2)))))).
% 15.62/15.43 all X_1 F G_1 (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,F),G_1))->hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,hAPP_int_bool(F,X_1)),hAPP_int_bool(G_1,X_1)))).
% 15.62/15.43 all X_1 F G_1 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,F),G_1))->hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,hAPP_nat_bool(F,X_1)),hAPP_nat_bool(G_1,X_1)))).
% 15.62/15.43 all X_1 F G_1 (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,F),G_1))->hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,hAPP_a_bool(F,X_1)),hAPP_a_bool(G_1,X_1)))).
% 15.62/15.43 all X_1 F G_1 (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,F),G_1))->hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,hAPP_int_bool(F,X_1)),hAPP_int_bool(G_1,X_1)))).
% 15.62/15.43 all X_1 F G_1 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,F),G_1))->hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,hAPP_nat_bool(F,X_1)),hAPP_nat_bool(G_1,X_1)))).
% 15.62/15.43 all X_1 F G_1 (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,F),G_1))->hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,hAPP_a_bool(F,X_1)),hAPP_a_bool(G_1,X_1)))).
% 15.62/15.43 all B A_2 hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),B))).
% 15.62/15.43 all B A_2 hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),B))).
% 15.62/15.43 all B A_2 hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),B))).
% 15.62/15.43 all X_1 A B (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),A)),B))<->hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),B))&hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B))).
% 15.62/15.43 all X_1 A B (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),A)),B))<->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),B))&hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B))).
% 15.62/15.43 all X_1 A B (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),A)),B))<->hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),B))&hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B))).
% 15.62/15.43 all X_1 A B (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),A)),B))<->hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),B))&hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B))).
% 15.62/15.43 all B X_1 A (-hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A))-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),B)))<->hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B)))).
% 15.62/15.43 all B X_1 A (-hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A))-> (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),B)))<->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B)))).
% 15.62/15.43 all B X_1 A (-hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),B)))<->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B)))).
% 15.62/15.43 all B X_1 A (-hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))-> (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),B)))<->hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B)))).
% 15.62/15.43 all B_3 A B (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B))->hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,B_3),B)))).
% 15.62/15.43 all B_3 A B (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B))->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,B_3),B)))).
% 15.62/15.43 all B_3 A B (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B))->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,B_3),B)))).
% 15.62/15.43 all A_2 C_11 D_4 (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,C_11),D_4))->hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),C_11)),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),D_4)))).
% 15.62/15.43 all A_2 C_11 D_4 (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,C_11),D_4))->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),C_11)),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),D_4)))).
% 15.62/15.43 all A_2 C_11 D_4 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,C_11),D_4))->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),C_11)),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),D_4)))).
% 15.62/15.43 all F A_2 B (image_nat_int(F,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),B))=hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,hAPP_nat_int(F,A_2)),image_nat_int(F,B))).
% 15.62/15.43 all F A_2 B (image_pname_a(F,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A_2),B))=hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,hAPP_pname_a(F,A_2)),image_pname_a(F,B))).
% 15.62/15.43 all F X_1 A (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))->hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,hAPP_nat_int(F,X_1)),image_nat_int(F,A))=image_nat_int(F,A)).
% 15.62/15.43 all F X_1 A (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))->hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,hAPP_pname_a(F,X_1)),image_pname_a(F,A))=image_pname_a(F,A)).
% 15.62/15.43 all B F A (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),image_nat_int(F,A)))<-> (exists AA (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,AA),A))&B=image_nat_int(F,AA)))).
% 15.62/15.43 all B F A (is_fun_a_bool(B)-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_pname_a(F,A)))<-> (exists AA (is_fun_pname_bool(AA)&hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,AA),A))&B=image_pname_a(F,AA))))).
% 15.62/15.43 all F 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(F,A)),image_nat_int(F,B)))).
% 15.62/15.43 all F A B (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B))->hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,image_pname_a(F,A)),image_pname_a(F,B)))).
% 15.62/15.43 all B_3 F A (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,B_3),image_nat_int(F,A)))-> -(all X_2 (B_3=hAPP_nat_int(F,X_2)-> -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),A))))).
% 15.62/15.43 all B_3 F A (is_a(B_3)-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,B_3),image_pname_a(F,A)))-> -(all X_2 (is_pname(X_2)-> (B_3=hAPP_pname_a(F,X_2)-> -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),A))))))).
% 15.62/15.43 all B A ((all X_2 (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),A))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),B))))->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B))).
% 15.62/15.43 all B A ((all X_2 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),A))->hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),B))))->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B))).
% 15.62/15.43 all B A ((all X_2 (is_a(X_2)-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_2),A))->hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_2),B)))))->hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B))).
% 15.62/15.43 all B A ((all X_2 (is_pname(X_2)-> (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),A))->hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),B)))))->hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B))).
% 15.62/15.43 all F B A ((all X_2 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),A))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_nat_int(F,X_2)),B))))->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,image_nat_int(F,A)),B))).
% 15.62/15.43 all F B A ((all X_2 (is_pname(X_2)-> (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),A))->hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(F,X_2)),B)))))->hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,image_pname_a(F,A)),B))).
% 15.62/15.43 all F G_1 ((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_1,X_2))))->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,F),G_1))).
% 15.62/15.43 all F G_1 ((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_1,X_2))))->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,F),G_1))).
% 15.62/15.43 all F G_1 ((all X_2 (is_a(X_2)->hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,hAPP_a_bool(F,X_2)),hAPP_a_bool(G_1,X_2)))))->hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,F),G_1))).
% 15.62/15.43 all N_2 (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,N_2))<-> (exists M_2 all X_2 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),N_2))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_2),M_2))))).
% 15.62/15.43 all G C_6 (hBOOL(wt(C_6))-> ((all X_2 (is_pname(X_2)-> (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),u))->hBOOL(hAPP_fun_a_bool_bool(p(G),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,hAPP_pname_a(mgt_call,X_2)),bot_bot_fun_a_bool))))))->hBOOL(hAPP_fun_a_bool_bool(p(G),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,mgt(C_6)),bot_bot_fun_a_bool))))).
% 15.62/15.43 all A_2 B_3 C_6 D_1 (hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_2),B_3)=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,C_6),D_1)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_2),B_3))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_6),D_1)))).
% 15.62/15.43 all M Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,M)),Na))<->hBOOL(hAPP_nat_bool(nat_case_bool(fFalse,hAPP_n1699378549t_bool(ord_less_e_q_nat,M)),Na))).
% 15.62/15.43 all A_2 (-hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_2),bot_bot_fun_int_bool))).
% 15.62/15.43 all A_2 (-hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_2),bot_bot_fun_nat_bool))).
% 15.62/15.43 all A_2 (-hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_2),bot_bot_fun_a_bool))).
% 15.62/15.43 all A_2 (-hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_2),bot_bo844097828e_bool))).
% 15.62/15.43 all B A (hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))->hBOOL(hAPP_f448129468l_bool(finite_finite_int,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),B)))).
% 15.62/15.43 all B A (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))->hBOOL(hAPP_f54304608l_bool(finite_finite_nat,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B)))).
% 15.62/15.43 all B A (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))->hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),B)))).
% 15.62/15.43 hBOOL(hAPP_f448129468l_bool(finite_finite_int,bot_bot_fun_int_bool)).
% 15.62/15.43 hBOOL(hAPP_f54304608l_bool(finite_finite_nat,bot_bot_fun_nat_bool)).
% 15.62/15.43 hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,bot_bo844097828e_bool)).
% 15.62/15.43 hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,bot_bot_fun_a_bool)).
% 15.62/15.43 all A hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,bot_bot_fun_nat_bool),A)).
% 15.62/15.43 all A hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,bot_bot_fun_int_bool),A)).
% 15.62/15.43 all A hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,bot_bot_fun_a_bool),A)).
% 15.62/15.43 all A_2 A (A=bot_bot_fun_int_bool-> -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_2),A))).
% 15.62/15.43 all A_2 A (A=bot_bot_fun_nat_bool-> -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_2),A))).
% 15.62/15.43 all A_2 A (A=bot_bot_fun_a_bool-> -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_2),A))).
% 15.62/15.43 all A_2 A (A=bot_bo844097828e_bool-> -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_2),A))).
% 15.62/15.43 all Pa (collect_int(Pa)=bot_bot_fun_int_bool<-> (all X_2 (-hBOOL(hAPP_int_bool(Pa,X_2))))).
% 15.62/15.43 all Pa (collect_nat(Pa)=bot_bot_fun_nat_bool<-> (all X_2 (-hBOOL(hAPP_nat_bool(Pa,X_2))))).
% 15.62/15.43 all Pa (collect_a(Pa)=bot_bot_fun_a_bool<-> (all X_2 (is_a(X_2)-> -hBOOL(hAPP_a_bool(Pa,X_2))))).
% 15.62/15.43 all A (hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),A)=bot_bot_fun_nat_bool).
% 15.62/15.43 all A (hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),A)=bot_bot_fun_int_bool).
% 15.62/15.43 all A (hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),A)=bot_bot_fun_a_bool).
% 15.62/15.43 all A (hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),bot_bot_fun_nat_bool)=A).
% 15.62/15.43 all A (hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),bot_bot_fun_int_bool)=A).
% 15.62/15.43 all A (is_fun_a_bool(A)->hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),bot_bot_fun_a_bool)=A).
% 15.62/15.43 all C_6 (-hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,C_6),bot_bot_fun_int_bool))).
% 15.62/15.43 all C_6 (-hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_6),bot_bot_fun_nat_bool))).
% 15.62/15.43 all C_6 (-hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,C_6),bot_bot_fun_a_bool))).
% 15.62/15.43 all C_6 (-hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C_6),bot_bo844097828e_bool))).
% 15.62/15.43 all Pa (bot_bot_fun_int_bool=collect_int(Pa)<-> (all X_2 (-hBOOL(hAPP_int_bool(Pa,X_2))))).
% 15.62/15.43 all Pa (bot_bot_fun_nat_bool=collect_nat(Pa)<-> (all X_2 (-hBOOL(hAPP_nat_bool(Pa,X_2))))).
% 15.62/15.43 all Pa (bot_bot_fun_a_bool=collect_a(Pa)<-> (all X_2 (is_a(X_2)-> -hBOOL(hAPP_a_bool(Pa,X_2))))).
% 15.62/15.43 all A (hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,bot_bot_fun_nat_bool),A)=bot_bot_fun_nat_bool).
% 15.62/15.43 all A (hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,bot_bot_fun_int_bool),A)=bot_bot_fun_int_bool).
% 15.62/15.43 all A (hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,bot_bot_fun_a_bool),A)=bot_bot_fun_a_bool).
% 15.62/15.43 all A ((exists X_2 hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),A)))<->A!=bot_bot_fun_int_bool).
% 15.62/15.43 all A ((exists X_2 hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),A)))<->A!=bot_bot_fun_nat_bool).
% 15.62/15.43 all A (is_fun_a_bool(A)-> ((exists X_2 (is_a(X_2)&hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_2),A))))<->A!=bot_bot_fun_a_bool)).
% 15.62/15.43 all A (is_fun_pname_bool(A)-> ((exists X_2 (is_pname(X_2)&hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),A))))<->A!=bot_bo844097828e_bool)).
% 15.62/15.43 all A ((all X_2 (-hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),A))))<->A=bot_bot_fun_int_bool).
% 15.62/15.43 all A ((all X_2 (-hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),A))))<->A=bot_bot_fun_nat_bool).
% 15.62/15.43 all A (is_fun_a_bool(A)-> ((all X_2 (is_a(X_2)-> -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_2),A))))<->A=bot_bot_fun_a_bool)).
% 15.62/15.43 all A (is_fun_pname_bool(A)-> ((all X_2 (is_pname(X_2)-> -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),A))))<->A=bot_bo844097828e_bool)).
% 15.62/15.43 all X_1 (hBOOL(hAPP_nat_bool(bot_bot_fun_nat_bool,X_1))<->hBOOL(bot_bot_bool)).
% 15.62/15.43 all X_1 (hBOOL(hAPP_int_bool(bot_bot_fun_int_bool,X_1))<->hBOOL(bot_bot_bool)).
% 15.62/15.43 all X_1 (hBOOL(hAPP_a_bool(bot_bot_fun_a_bool,X_1))<->hBOOL(bot_bot_bool)).
% 15.62/15.43 bot_bot_fun_int_bool=collect_int(cOMBK_bool_int(fFalse)).
% 15.62/15.43 bot_bot_fun_nat_bool=collect_nat(cOMBK_bool_nat(fFalse)).
% 15.62/15.43 bot_bot_fun_a_bool=collect_a(cOMBK_bool_a(fFalse)).
% 15.62/15.43 all X_2 (hBOOL(hAPP_nat_bool(bot_bot_fun_nat_bool,X_2))<->hBOOL(bot_bot_bool)).
% 15.62/15.43 all X_2 (hBOOL(hAPP_int_bool(bot_bot_fun_int_bool,X_2))<->hBOOL(bot_bot_bool)).
% 15.62/15.43 all X_2 (hBOOL(hAPP_a_bool(bot_bot_fun_a_bool,X_2))<->hBOOL(bot_bot_bool)).
% 15.62/15.43 all A_2 A (is_fun_a_bool(A)-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_2),A))->hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),bot_bot_fun_a_bool)))=A)).
% 15.62/15.43 all A_2 A (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_2),A))->hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),bot_bot_fun_int_bool)))=A).
% 15.62/15.43 all A_2 A (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_2),A))->hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),bot_bot_fun_nat_bool)))=A).
% 15.62/15.43 all A_2 A (is_fun_pname_bool(A)-> (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_2),A))->hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A_2),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A_2),bot_bo844097828e_bool)))=A)).
% 15.62/15.43 all X_1 A (is_fun_a_bool(A)-> (-hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A))->hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),A)),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool))=A)).
% 15.62/15.43 all X_1 A (-hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A))->hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),A)),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool))=A).
% 15.62/15.43 all X_1 A (-hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))->hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),A)),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool))=A).
% 15.62/15.43 all X_1 A (is_fun_pname_bool(A)-> (-hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))->hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),A)),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),bot_bo844097828e_bool))=A)).
% 15.62/15.43 all A_2 A (hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),bot_bot_fun_a_bool)))=hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),A)).
% 15.62/15.43 all A_2 A (hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),bot_bot_fun_nat_bool)))=hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),A)).
% 15.62/15.43 all A_2 A (hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),bot_bot_fun_int_bool)))=hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),A)).
% 15.62/15.43 all A A_2 B (hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),B))=hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),bot_bot_fun_a_bool))),B)).
% 15.62/15.43 all A A_2 B (hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),B))=hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),bot_bot_fun_nat_bool))),B)).
% 15.62/15.43 all A A_2 B (hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),B))=hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),bot_bot_fun_int_bool))),B)).
% 15.62/15.43 all A A_2 B (hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),B))=hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),B)),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),bot_bot_fun_a_bool))).
% 15.62/15.43 all A A_2 B (hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),B))=hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B)),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),bot_bot_fun_nat_bool))).
% 15.62/15.43 all A A_2 B (hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),B))=hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),B)),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),bot_bot_fun_int_bool))).
% 15.62/15.43 all A X_1 B (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool))),B))-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A))->hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),B))))).
% 15.62/15.43 all A X_1 B (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool))),B))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A))->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),B))))).
% 15.62/15.43 all A X_1 B (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool))),B))-> (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),B))))).
% 15.62/15.43 all A X_1 B (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),bot_bo844097828e_bool))),B))-> (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))->hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),B))))).
% 15.62/15.43 all A X_1 B (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),B)))<-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A))->hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool))),B)))& (-hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A))->hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B)))).
% 15.62/15.43 all A X_1 B (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),B)))<-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A))->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool))),B)))& (-hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A))->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B)))).
% 15.62/15.43 all A X_1 B (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),B)))<-> (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool))),B)))& (-hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B)))).
% 15.62/15.43 all A X_1 B (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),B)))<-> (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))->hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),bot_bo844097828e_bool))),B)))& (-hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))->hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B)))).
% 15.62/15.43 all A B (hBOOL(hAPP_f448129468l_bool(finite_finite_int,B))-> (hBOOL(hAPP_f448129468l_bool(finite_finite_int,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),B)))<->hBOOL(hAPP_f448129468l_bool(finite_finite_int,A)))).
% 15.62/15.43 all A B (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B))-> (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B)))<->hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A)))).
% 15.62/15.43 all A B (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B))-> (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),B)))<->hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A)))).
% 15.62/15.43 all A X_1 B (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),B))->hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),A)),B)=hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),B)).
% 15.62/15.43 all A X_1 B (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),B))->hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),A)),B)=hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),B)).
% 15.62/15.43 all A X_1 B (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),B))->hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),A)),B)=hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B)).
% 15.62/15.43 all A X_1 B (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),B))->hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),A)),B)=hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),B)).
% 15.62/15.43 all A X_1 B ((hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),B))->hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),A)),B)=hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),B))& (-hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),B))->hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),A)),B)=hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),B)))).
% 15.62/15.43 all A X_1 B ((hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),B))->hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),A)),B)=hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),B))& (-hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),B))->hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),A)),B)=hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),B)))).
% 15.62/15.43 all A X_1 B ((hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),B))->hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),A)),B)=hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B))& (-hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),B))->hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),A)),B)=hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B)))).
% 15.62/15.43 all A X_1 B ((hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),B))->hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),A)),B)=hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),B))& (-hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),B))->hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),A)),B)=hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),B)))).
% 15.62/15.43 all C_11 A B (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B))-> (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),C_11))->hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,B),hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,C_11),A))=A)).
% 15.62/15.43 all C_11 A B (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B))-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),C_11))->hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,B),hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,C_11),A))=A)).
% 15.62/15.43 all C_11 A B (is_fun_a_bool(A)-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B))-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),C_11))->hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,B),hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,C_11),A))=A))).
% 15.62/15.43 all D_4 B A C_11 (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),C_11))-> (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,D_4),B))->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),B)),hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,C_11),D_4))))).
% 15.62/15.43 all D_4 B A C_11 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),C_11))-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,D_4),B))->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B)),hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,C_11),D_4))))).
% 15.62/15.43 all D_4 B A C_11 (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),C_11))-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,D_4),B))->hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),B)),hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,C_11),D_4))))).
% 15.62/15.43 all A B hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),B)),A)).
% 15.62/15.43 all A B hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B)),A)).
% 15.62/15.43 all A B hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),B)),A)).
% 15.62/15.43 all A_2 B_3 (is_a(A_2)&is_a(B_3)-> (hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),bot_bot_fun_a_bool)=hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,B_3),bot_bot_fun_a_bool)->A_2=B_3)).
% 15.62/15.43 all A_2 B_3 (hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),bot_bot_fun_nat_bool)=hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,B_3),bot_bot_fun_nat_bool)->A_2=B_3).
% 15.62/15.43 all A_2 B_3 (hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),bot_bot_fun_int_bool)=hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,B_3),bot_bot_fun_int_bool)->A_2=B_3).
% 15.62/15.43 all B_3 A_2 (is_a(B_3)&is_a(A_2)-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,B_3),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),bot_bot_fun_a_bool)))->B_3=A_2)).
% 15.62/15.43 all B_3 A_2 (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,B_3),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),bot_bot_fun_int_bool)))->B_3=A_2).
% 15.62/15.43 all B_3 A_2 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,B_3),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),bot_bot_fun_nat_bool)))->B_3=A_2).
% 15.62/15.43 all B_3 A_2 (is_pname(B_3)&is_pname(A_2)-> (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,B_3),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A_2),bot_bo844097828e_bool)))->B_3=A_2)).
% 15.62/15.43 all A_2 B_3 C_6 D_1 (is_a(A_2)&is_a(B_3)&is_a(C_6)&is_a(D_1)-> (hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,B_3),bot_bot_fun_a_bool))=hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,C_6),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,D_1),bot_bot_fun_a_bool))<->A_2=C_6&B_3=D_1|A_2=D_1&B_3=C_6)).
% 15.62/15.43 all A_2 B_3 C_6 D_1 (hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,B_3),bot_bot_fun_nat_bool))=hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,C_6),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,D_1),bot_bot_fun_nat_bool))<->A_2=C_6&B_3=D_1|A_2=D_1&B_3=C_6).
% 15.62/15.43 all A_2 B_3 C_6 D_1 (hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,B_3),bot_bot_fun_int_bool))=hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,C_6),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,D_1),bot_bot_fun_int_bool))<->A_2=C_6&B_3=D_1|A_2=D_1&B_3=C_6).
% 15.62/15.43 all B_3 A_2 (is_a(B_3)&is_a(A_2)-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,B_3),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),bot_bot_fun_a_bool)))<->B_3=A_2)).
% 15.62/15.43 all B_3 A_2 (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,B_3),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),bot_bot_fun_int_bool)))<->B_3=A_2).
% 15.62/15.43 all B_3 A_2 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,B_3),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),bot_bot_fun_nat_bool)))<->B_3=A_2).
% 15.62/15.43 all B_3 A_2 (is_pname(B_3)&is_pname(A_2)-> (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,B_3),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A_2),bot_bo844097828e_bool)))<->B_3=A_2)).
% 15.62/15.43 all A_2 A (hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),A)!=bot_bot_fun_a_bool).
% 15.62/15.43 all A_2 A (hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),A)!=bot_bot_fun_nat_bool).
% 15.62/15.43 all A_2 A (hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),A)!=bot_bot_fun_int_bool).
% 15.62/15.43 all A_2 A (bot_bot_fun_a_bool!=hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),A)).
% 15.62/15.43 all A_2 A (bot_bot_fun_nat_bool!=hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),A)).
% 15.62/15.43 all A_2 A (bot_bot_fun_int_bool!=hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),A)).
% 15.62/15.43 all A (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),bot_bot_fun_nat_bool))<->A=bot_bot_fun_nat_bool).
% 15.62/15.43 all A (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),bot_bot_fun_int_bool))<->A=bot_bot_fun_int_bool).
% 15.62/15.43 all A (is_fun_a_bool(A)-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),bot_bot_fun_a_bool))<->A=bot_bot_fun_a_bool)).
% 15.62/15.43 all F A (image_nat_int(F,A)=bot_bot_fun_int_bool<->A=bot_bot_fun_nat_bool).
% 15.62/15.43 all F A (is_fun_pname_bool(A)-> (image_pname_a(F,A)=bot_bot_fun_a_bool<->A=bot_bo844097828e_bool)).
% 15.62/15.43 all F (image_nat_int(F,bot_bot_fun_nat_bool)=bot_bot_fun_int_bool).
% 15.62/15.43 all F (image_pname_a(F,bot_bo844097828e_bool)=bot_bot_fun_a_bool).
% 15.62/15.43 all F A (bot_bot_fun_int_bool=image_nat_int(F,A)<->A=bot_bot_fun_nat_bool).
% 15.62/15.43 all F A (is_fun_pname_bool(A)-> (bot_bot_fun_a_bool=image_pname_a(F,A)<->A=bot_bo844097828e_bool)).
% 15.62/15.43 all A_2 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_2),bot_bot_fun_nat_bool))->A_2=bot_bot_fun_nat_bool).
% 15.62/15.43 all A_2 (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A_2),bot_bot_fun_int_bool))->A_2=bot_bot_fun_int_bool).
% 15.62/15.43 all A_17 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_17),bot_bot_nat))->A_17=bot_bot_nat).
% 15.62/15.43 all A_2 (is_fun_a_bool(A_2)-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_2),bot_bot_fun_a_bool))->A_2=bot_bot_fun_a_bool)).
% 15.62/15.43 all A_2 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_2),bot_bot_fun_nat_bool))<->A_2=bot_bot_fun_nat_bool).
% 15.62/15.43 all A_2 (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A_2),bot_bot_fun_int_bool))<->A_2=bot_bot_fun_int_bool).
% 15.62/15.43 all A_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_2),bot_bot_nat))<->A_2=bot_bot_nat).
% 15.62/15.43 all A_2 (is_fun_a_bool(A_2)-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_2),bot_bot_fun_a_bool))<->A_2=bot_bot_fun_a_bool)).
% 15.62/15.43 all A_2 hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,bot_bot_fun_nat_bool),A_2)).
% 15.62/15.43 all A_2 hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,bot_bot_fun_int_bool),A_2)).
% 15.62/15.43 all A_16 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,bot_bot_nat),A_16)).
% 15.62/15.43 all A_2 hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,bot_bot_fun_a_bool),A_2)).
% 15.62/15.43 all Pa A_2 ((hBOOL(hAPP_a_bool(Pa,A_2))->collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fe_qual_a),A_2)),Pa))=hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),bot_bot_fun_a_bool))& (-hBOOL(hAPP_a_bool(Pa,A_2))->collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fe_qual_a),A_2)),Pa))=bot_bot_fun_a_bool)).
% 15.62/15.43 all Pa A_2 ((hBOOL(hAPP_int_bool(Pa,A_2))->collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fconj,hAPP_i1948725293t_bool(cOMBC_int_int_bool(fe_qual_int),A_2)),Pa))=hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),bot_bot_fun_int_bool))& (-hBOOL(hAPP_int_bool(Pa,A_2))->collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fconj,hAPP_i1948725293t_bool(cOMBC_int_int_bool(fe_qual_int),A_2)),Pa))=bot_bot_fun_int_bool)).
% 15.62/15.43 all Pa A_2 ((hBOOL(hAPP_nat_bool(Pa,A_2))->collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fe_qual_nat),A_2)),Pa))=hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),bot_bot_fun_nat_bool))& (-hBOOL(hAPP_nat_bool(Pa,A_2))->collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fe_qual_nat),A_2)),Pa))=bot_bot_fun_nat_bool)).
% 15.62/15.43 all Pa A_2 ((hBOOL(hAPP_a_bool(Pa,A_2))->collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_a_fun_a_bool(fe_qual_a,A_2)),Pa))=hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),bot_bot_fun_a_bool))& (-hBOOL(hAPP_a_bool(Pa,A_2))->collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_a_fun_a_bool(fe_qual_a,A_2)),Pa))=bot_bot_fun_a_bool)).
% 15.62/15.43 all Pa A_2 ((hBOOL(hAPP_int_bool(Pa,A_2))->collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fconj,hAPP_i1948725293t_bool(fe_qual_int,A_2)),Pa))=hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),bot_bot_fun_int_bool))& (-hBOOL(hAPP_int_bool(Pa,A_2))->collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fconj,hAPP_i1948725293t_bool(fe_qual_int,A_2)),Pa))=bot_bot_fun_int_bool)).
% 15.62/15.43 all Pa A_2 ((hBOOL(hAPP_nat_bool(Pa,A_2))->collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_n1699378549t_bool(fe_qual_nat,A_2)),Pa))=hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),bot_bot_fun_nat_bool))& (-hBOOL(hAPP_nat_bool(Pa,A_2))->collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_n1699378549t_bool(fe_qual_nat,A_2)),Pa))=bot_bot_fun_nat_bool)).
% 15.62/15.43 all A_2 (collect_a(hAPP_a_fun_a_bool(cOMBC_a_a_bool(fe_qual_a),A_2))=hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),bot_bot_fun_a_bool)).
% 15.62/15.43 all A_2 (collect_int(hAPP_i1948725293t_bool(cOMBC_int_int_bool(fe_qual_int),A_2))=hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),bot_bot_fun_int_bool)).
% 15.62/15.43 all A_2 (collect_nat(hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fe_qual_nat),A_2))=hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),bot_bot_fun_nat_bool)).
% 15.62/15.43 all A_2 (collect_a(hAPP_a_fun_a_bool(fe_qual_a,A_2))=hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),bot_bot_fun_a_bool)).
% 15.62/15.43 all A_2 (collect_int(hAPP_i1948725293t_bool(fe_qual_int,A_2))=hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),bot_bot_fun_int_bool)).
% 15.62/15.43 all A_2 (collect_nat(hAPP_n1699378549t_bool(fe_qual_nat,A_2))=hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),bot_bot_fun_nat_bool)).
% 15.62/15.43 all X_1 A (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A))->hAPP_nat_nat(suc,hAPP_fun_a_bool_nat(finite_card_a,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool))))=hAPP_fun_a_bool_nat(finite_card_a,A))).
% 15.62/15.43 all X_1 A (hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A))->hAPP_nat_nat(suc,hAPP_f957591787ol_nat(finite_card_int,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool))))=hAPP_f957591787ol_nat(finite_card_int,A))).
% 15.62/15.43 all X_1 A (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))-> (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))->hAPP_nat_nat(suc,hAPP_f22106695ol_nat(finite_card_nat,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool))))=hAPP_f22106695ol_nat(finite_card_nat,A))).
% 15.62/15.43 all X_1 A (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))-> (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))->hAPP_nat_nat(suc,hAPP_f921600141ol_nat(finite_card_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),bot_bo844097828e_bool))))=hAPP_f921600141ol_nat(finite_card_pname,A))).
% 15.62/15.43 all X_1 A (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))->hAPP_fun_a_bool_nat(finite_card_a,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),A))=hAPP_nat_nat(suc,hAPP_fun_a_bool_nat(finite_card_a,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool))))).
% 15.62/15.43 all X_1 A (hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))->hAPP_f957591787ol_nat(finite_card_int,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),A))=hAPP_nat_nat(suc,hAPP_f957591787ol_nat(finite_card_int,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool))))).
% 15.62/15.43 all X_1 A (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))->hAPP_f22106695ol_nat(finite_card_nat,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),A))=hAPP_nat_nat(suc,hAPP_f22106695ol_nat(finite_card_nat,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool))))).
% 15.62/15.43 all X_1 A (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))->hAPP_f921600141ol_nat(finite_card_pname,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),A))=hAPP_nat_nat(suc,hAPP_f921600141ol_nat(finite_card_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),bot_bo844097828e_bool))))).
% 15.62/15.43 all X_1 A (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_fun_a_bool_nat(finite_card_a,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool)))),hAPP_fun_a_bool_nat(finite_card_a,A)))).
% 15.62/15.43 all X_1 A (hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f957591787ol_nat(finite_card_int,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool)))),hAPP_f957591787ol_nat(finite_card_int,A)))).
% 15.62/15.43 all X_1 A (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f22106695ol_nat(finite_card_nat,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool)))),hAPP_f22106695ol_nat(finite_card_nat,A)))).
% 15.62/15.43 all X_1 A (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f921600141ol_nat(finite_card_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),bot_bo844097828e_bool)))),hAPP_f921600141ol_nat(finite_card_pname,A)))).
% 15.62/15.43 all A A_2 B (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),B))))<->hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),B)))).
% 15.62/15.43 all A A_2 B (hBOOL(hAPP_f448129468l_bool(finite_finite_int,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),B))))<->hBOOL(hAPP_f448129468l_bool(finite_finite_int,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),B)))).
% 15.62/15.43 all A A_2 B (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),B))))<->hBOOL(hAPP_f54304608l_bool(finite_finite_nat,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B)))).
% 15.62/15.43 all A A_2 B (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A_2),B))))<->hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),B)))).
% 15.62/15.43 all F A B hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,image_nat_int(F,A)),image_nat_int(F,B))),image_nat_int(F,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B)))).
% 15.62/15.43 all F A B hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,image_pname_a(F,A)),image_pname_a(F,B))),image_pname_a(F,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),B)))).
% 15.62/15.43 all A X_1 (is_fun_a_bool(A)-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool)))->A=bot_bot_fun_a_bool|A=hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool))).
% 15.62/15.43 all A X_1 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool)))->A=bot_bot_fun_nat_bool|A=hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool)).
% 15.62/15.43 all A X_1 (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool)))->A=bot_bot_fun_int_bool|A=hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool)).
% 15.62/15.43 all F1 F2 Nat_3 (hAPP_nat_nat(nat_case_nat(F1,F2),hAPP_nat_nat(suc,Nat_3))=hAPP_nat_nat(F2,Nat_3)).
% 15.62/15.43 all F1 F2 Nat_3 (hBOOL(hAPP_nat_bool(nat_case_bool(F1,F2),hAPP_nat_nat(suc,Nat_3)))<->hBOOL(hAPP_nat_bool(F2,Nat_3))).
% 15.62/15.43 all C_6 X_1 A (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))->image_nat_int(cOMBK_int_nat(C_6),A)=hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,C_6),bot_bot_fun_int_bool)).
% 15.62/15.43 all C_6 X_1 A (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))->image_pname_a(cOMBK_a_pname(C_6),A)=hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,C_6),bot_bot_fun_a_bool)).
% 15.62/15.43 all C_6 A ((A=bot_bot_fun_nat_bool->image_nat_int(cOMBK_int_nat(C_6),A)=bot_bot_fun_int_bool)& (A!=bot_bot_fun_nat_bool->image_nat_int(cOMBK_int_nat(C_6),A)=hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,C_6),bot_bot_fun_int_bool))).
% 15.62/15.43 all C_6 A (is_fun_pname_bool(A)-> (A=bot_bo844097828e_bool->image_pname_a(cOMBK_a_pname(C_6),A)=bot_bot_fun_a_bool)& (A!=bot_bo844097828e_bool->image_pname_a(cOMBK_a_pname(C_6),A)=hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,C_6),bot_bot_fun_a_bool))).
% 15.62/15.43 all A_2 B_3 C_6 D_1 (hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_2),B_3)=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,C_6),D_1)-> (A_2=B_3<->C_6=D_1)).
% 15.62/15.43 all A B (hBOOL(hAPP_f448129468l_bool(finite_finite_int,B))-> (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),A))->hAPP_f957591787ol_nat(finite_card_int,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),B))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_f957591787ol_nat(finite_card_int,A)),hAPP_f957591787ol_nat(finite_card_int,B)))).
% 15.62/15.43 all A B (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B))-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),A))->hAPP_f22106695ol_nat(finite_card_nat,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_f22106695ol_nat(finite_card_nat,A)),hAPP_f22106695ol_nat(finite_card_nat,B)))).
% 15.62/15.43 all A B (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B))-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),A))->hAPP_fun_a_bool_nat(finite_card_a,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),B))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_fun_a_bool_nat(finite_card_a,A)),hAPP_fun_a_bool_nat(finite_card_a,B)))).
% 15.62/15.43 all A B (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B))-> (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),A))->hAPP_f921600141ol_nat(finite_card_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),B))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_f921600141ol_nat(finite_card_pname,A)),hAPP_f921600141ol_nat(finite_card_pname,B)))).
% 15.62/15.43 all A B (hBOOL(hAPP_f448129468l_bool(finite_finite_int,B))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_f957591787ol_nat(finite_card_int,A)),hAPP_f957591787ol_nat(finite_card_int,B))),hAPP_f957591787ol_nat(finite_card_int,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),B))))).
% 15.62/15.43 all A B (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_f22106695ol_nat(finite_card_nat,A)),hAPP_f22106695ol_nat(finite_card_nat,B))),hAPP_f22106695ol_nat(finite_card_nat,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B))))).
% 15.62/15.43 all A B (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_fun_a_bool_nat(finite_card_a,A)),hAPP_fun_a_bool_nat(finite_card_a,B))),hAPP_fun_a_bool_nat(finite_card_a,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),B))))).
% 15.62/15.43 all A B (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_f921600141ol_nat(finite_card_pname,A)),hAPP_f921600141ol_nat(finite_card_pname,B))),hAPP_f921600141ol_nat(finite_card_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),B))))).
% 15.62/15.43 all Pa A F_1 (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,F_1))-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,F_1),A))-> (hBOOL(hAPP_fun_a_bool_bool(Pa,bot_bot_fun_a_bool))-> ((all A_14 F_2 (is_a(A_14)&is_fun_a_bool(F_2)-> (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,F_2))-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_14),A))-> (-hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_14),F_2))-> (hBOOL(hAPP_fun_a_bool_bool(Pa,F_2))->hBOOL(hAPP_fun_a_bool_bool(Pa,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_14),F_2)))))))))->hBOOL(hAPP_fun_a_bool_bool(Pa,F_1)))))).
% 15.62/15.43 all Pa A F_1 (hBOOL(hAPP_f448129468l_bool(finite_finite_int,F_1))-> (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,F_1),A))-> (hBOOL(hAPP_f448129468l_bool(Pa,bot_bot_fun_int_bool))-> ((all A_14 F_2 (hBOOL(hAPP_f448129468l_bool(finite_finite_int,F_2))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_14),A))-> (-hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_14),F_2))-> (hBOOL(hAPP_f448129468l_bool(Pa,F_2))->hBOOL(hAPP_f448129468l_bool(Pa,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_14),F_2))))))))->hBOOL(hAPP_f448129468l_bool(Pa,F_1)))))).
% 15.62/15.43 all Pa A F_1 (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,F_1))-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,F_1),A))-> (hBOOL(hAPP_f54304608l_bool(Pa,bot_bot_fun_nat_bool))-> ((all A_14 F_2 (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,F_2))-> (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_14),A))-> (-hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_14),F_2))-> (hBOOL(hAPP_f54304608l_bool(Pa,F_2))->hBOOL(hAPP_f54304608l_bool(Pa,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_14),F_2))))))))->hBOOL(hAPP_f54304608l_bool(Pa,F_1)))))).
% 15.62/15.43 all Pa A F_1 (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1))-> (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,F_1),A))-> (hBOOL(hAPP_f1664156314l_bool(Pa,bot_bo844097828e_bool))-> ((all A_14 F_2 (is_pname(A_14)&is_fun_pname_bool(F_2)-> (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_2))-> (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_14),A))-> (-hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_14),F_2))-> (hBOOL(hAPP_f1664156314l_bool(Pa,F_2))->hBOOL(hAPP_f1664156314l_bool(Pa,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A_14),F_2)))))))))->hBOOL(hAPP_f1664156314l_bool(Pa,F_1)))))).
% 15.62/15.43 all Pn G (hBOOL(hAPP_fun_a_bool_bool(p(hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,hAPP_pname_a(mgt_call,Pn)),G)),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,mgt(the_com(body(Pn)))),bot_bot_fun_a_bool)))->hBOOL(hAPP_fun_a_bool_bool(p(G),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,hAPP_pname_a(mgt_call,Pn)),bot_bot_fun_a_bool)))).
% 15.62/15.43 all Pa A (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))-> (hBOOL(hAPP_fun_a_bool_bool(Pa,A))-> ((all A_14 A_15 (is_a(A_14)&is_fun_a_bool(A_15)-> (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_15))-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_14),A_15))-> (hBOOL(hAPP_fun_a_bool_bool(Pa,A_15))->hBOOL(hAPP_fun_a_bool_bool(Pa,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A_15),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_14),bot_bot_fun_a_bool)))))))))->hBOOL(hAPP_fun_a_bool_bool(Pa,bot_bot_fun_a_bool))))).
% 15.62/15.43 all Pa A (hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))-> (hBOOL(hAPP_f448129468l_bool(Pa,A))-> ((all A_14 A_15 (hBOOL(hAPP_f448129468l_bool(finite_finite_int,A_15))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_14),A_15))-> (hBOOL(hAPP_f448129468l_bool(Pa,A_15))->hBOOL(hAPP_f448129468l_bool(Pa,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A_15),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_14),bot_bot_fun_int_bool))))))))->hBOOL(hAPP_f448129468l_bool(Pa,bot_bot_fun_int_bool))))).
% 15.62/15.43 all Pa A (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))-> (hBOOL(hAPP_f54304608l_bool(Pa,A))-> ((all A_14 A_15 (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_15))-> (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_14),A_15))-> (hBOOL(hAPP_f54304608l_bool(Pa,A_15))->hBOOL(hAPP_f54304608l_bool(Pa,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A_15),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_14),bot_bot_fun_nat_bool))))))))->hBOOL(hAPP_f54304608l_bool(Pa,bot_bot_fun_nat_bool))))).
% 15.62/15.43 all Pa A (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))-> (hBOOL(hAPP_f1664156314l_bool(Pa,A))-> ((all A_14 A_15 (is_pname(A_14)&is_fun_pname_bool(A_15)-> (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_15))-> (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_14),A_15))-> (hBOOL(hAPP_f1664156314l_bool(Pa,A_15))->hBOOL(hAPP_f1664156314l_bool(Pa,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A_15),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A_14),bot_bo844097828e_bool)))))))))->hBOOL(hAPP_f1664156314l_bool(Pa,bot_bo844097828e_bool))))).
% 15.62/15.43 all Pa F_1 (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,F_1))-> (hBOOL(hAPP_fun_a_bool_bool(Pa,bot_bot_fun_a_bool))-> ((all X_2 F_2 (is_a(X_2)&is_fun_a_bool(F_2)-> (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,F_2))-> (-hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_2),F_2))-> (hBOOL(hAPP_fun_a_bool_bool(Pa,F_2))->hBOOL(hAPP_fun_a_bool_bool(Pa,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_2),F_2))))))))->hBOOL(hAPP_fun_a_bool_bool(Pa,F_1))))).
% 15.62/15.43 all Pa F_1 (hBOOL(hAPP_f448129468l_bool(finite_finite_int,F_1))-> (hBOOL(hAPP_f448129468l_bool(Pa,bot_bot_fun_int_bool))-> ((all X_2 F_2 (hBOOL(hAPP_f448129468l_bool(finite_finite_int,F_2))-> (-hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),F_2))-> (hBOOL(hAPP_f448129468l_bool(Pa,F_2))->hBOOL(hAPP_f448129468l_bool(Pa,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_2),F_2)))))))->hBOOL(hAPP_f448129468l_bool(Pa,F_1))))).
% 15.62/15.43 all Pa F_1 (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,F_1))-> (hBOOL(hAPP_f54304608l_bool(Pa,bot_bot_fun_nat_bool))-> ((all X_2 F_2 (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,F_2))-> (-hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),F_2))-> (hBOOL(hAPP_f54304608l_bool(Pa,F_2))->hBOOL(hAPP_f54304608l_bool(Pa,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_2),F_2)))))))->hBOOL(hAPP_f54304608l_bool(Pa,F_1))))).
% 15.62/15.43 all Pa F_1 (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1))-> (hBOOL(hAPP_f1664156314l_bool(Pa,bot_bo844097828e_bool))-> ((all X_2 F_2 (is_pname(X_2)&is_fun_pname_bool(F_2)-> (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_2))-> (-hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),F_2))-> (hBOOL(hAPP_f1664156314l_bool(Pa,F_2))->hBOOL(hAPP_f1664156314l_bool(Pa,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_2),F_2))))))))->hBOOL(hAPP_f1664156314l_bool(Pa,F_1))))).
% 15.62/15.43 all A_2 (is_fun_a_bool(A_2)-> (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_2))<->A_2=bot_bot_fun_a_bool| (exists A_15 A_14 (is_fun_a_bool(A_15)&is_a(A_14)&A_2=hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_14),A_15)&hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_15)))))).
% 15.62/15.43 all A_2 (hBOOL(hAPP_f448129468l_bool(finite_finite_int,A_2))<->A_2=bot_bot_fun_int_bool| (exists A_15 A_14 (A_2=hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_14),A_15)&hBOOL(hAPP_f448129468l_bool(finite_finite_int,A_15))))).
% 15.62/15.43 all A_2 (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_2))<->A_2=bot_bot_fun_nat_bool| (exists A_15 A_14 (A_2=hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_14),A_15)&hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_15))))).
% 15.62/15.43 all A_2 (is_fun_pname_bool(A_2)-> (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_2))<->A_2=bot_bo844097828e_bool| (exists A_15 A_14 (is_fun_pname_bool(A_15)&is_pname(A_14)&A_2=hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A_14),A_15)&hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_15)))))).
% 15.62/15.43 all U F ((all N_1 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),hAPP_nat_nat(F,N_1))))->hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(cOMBB_800536526ol_nat(ord_less_e_q_nat,F)),U))))).
% 15.62/15.43 all X_1 (is_a(X_1)->hAPP_fun_a_bool_a(the_elem_a,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool))=X_1).
% 15.62/15.43 all X_1 (hAPP_f22106695ol_nat(the_elem_nat,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool))=X_1).
% 15.62/15.43 all X_1 (hAPP_f1594865479ol_int(the_elem_int,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool))=X_1).
% 15.62/15.43 all A (is_fun_a_bool(A)-> (A!=bot_bot_fun_a_bool<-> (exists X_2 B_15 (is_a(X_2)&is_fun_a_bool(B_15)&A=hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_2),B_15)& -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_2),B_15)))))).
% 15.62/15.43 all A (A!=bot_bot_fun_int_bool<-> (exists X_2 B_15 (A=hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_2),B_15)& -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),B_15))))).
% 15.62/15.43 all A (A!=bot_bot_fun_nat_bool<-> (exists X_2 B_15 (A=hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_2),B_15)& -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),B_15))))).
% 15.62/15.43 all A (is_fun_pname_bool(A)-> (A!=bot_bo844097828e_bool<-> (exists X_2 B_15 (is_pname(X_2)&is_fun_pname_bool(B_15)&A=hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_2),B_15)& -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),B_15)))))).
% 15.62/15.43 all Pn (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,Pn),u))->hBOOL(wt(the_com(body(Pn))))).
% 15.62/15.43 all C_6 A B (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,C_6),hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),B)))-> -(hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,C_6),A))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,C_6),B)))).
% 15.62/15.43 all C_6 A B (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_6),hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B)))-> -(hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_6),A))->hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_6),B)))).
% 15.62/15.43 all C_6 A B (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,C_6),hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),B)))-> -(hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,C_6),A))->hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,C_6),B)))).
% 15.62/15.43 all C_6 A B (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C_6),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),B)))-> -(hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C_6),A))->hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C_6),B)))).
% 15.62/15.43 all B C_6 A (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,C_6),A))-> (-hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,C_6),B))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,C_6),hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),B))))).
% 15.62/15.43 all B C_6 A (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_6),A))-> (-hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_6),B))->hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_6),hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B))))).
% 15.62/15.43 all B C_6 A (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,C_6),A))-> (-hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,C_6),B))->hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,C_6),hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),B))))).
% 15.62/15.43 all B C_6 A (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C_6),A))-> (-hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C_6),B))->hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C_6),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),B))))).
% 15.62/15.43 all C_6 A B (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,C_6),hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),B)))-> -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,C_6),B))).
% 15.62/15.43 all C_6 A B (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_6),hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B)))-> -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_6),B))).
% 15.62/15.43 all C_6 A B (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,C_6),hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),B)))-> -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,C_6),B))).
% 15.62/15.43 all C_6 A B (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C_6),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),B)))-> -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C_6),B))).
% 15.62/15.43 all C_6 A B (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,C_6),hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),B)))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,C_6),A))).
% 15.62/15.43 all C_6 A B (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_6),hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B)))->hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_6),A))).
% 15.62/15.43 all C_6 A B (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,C_6),hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),B)))->hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,C_6),A))).
% 15.62/15.43 all C_6 A B (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C_6),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),B)))->hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C_6),A))).
% 15.62/15.43 all C_6 A B (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,C_6),hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),B)))<->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,C_6),A))& -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,C_6),B))).
% 15.62/15.43 all C_6 A B (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_6),hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B)))<->hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_6),A))& -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_6),B))).
% 15.62/15.43 all C_6 A B (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,C_6),hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),B)))<->hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,C_6),A))& -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,C_6),B))).
% 15.62/15.43 all C_6 A B (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C_6),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),B)))<->hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C_6),A))& -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C_6),B))).
% 15.62/15.43 all A B (hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),B)=collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fconj,hAPP_f1805168059t_bool(cOMBC_94739984l_bool(member_int),A)),cOMBB_bool_bool_int(fNot,hAPP_f1805168059t_bool(cOMBC_94739984l_bool(member_int),B))))).
% 15.62/15.43 all A B (hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B)=collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),A)),cOMBB_bool_bool_nat(fNot,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),B))))).
% 15.62/15.43 all A B (hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),B)=collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),A)),cOMBB_bool_bool_a(fNot,hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),B))))).
% 15.62/15.43 all A B (hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),B)=collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),A)),cOMBB_647938656_pname(fNot,hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),B))))).
% 15.62/15.43 all X_1 A F F_1 (is_a(X_1)-> (hBOOL(finite_folding_one_a(F,F_1))-> (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))-> (hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool))=bot_bot_fun_a_bool->hAPP_fun_a_bool_a(F_1,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),A))=X_1)& (hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool))!=bot_bot_fun_a_bool->hAPP_fun_a_bool_a(F_1,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),A))=hAPP_a_a(hAPP_a_fun_a_a(F,X_1),hAPP_fun_a_bool_a(F_1,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool)))))))).
% 15.62/15.43 all X_1 A F F_1 (hBOOL(finite1626084323ne_int(F,F_1))-> (hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))-> (hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool))=bot_bot_fun_int_bool->hAPP_f1594865479ol_int(F_1,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),A))=X_1)& (hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool))!=bot_bot_fun_int_bool->hAPP_f1594865479ol_int(F_1,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),A))=hAPP_int_int(hAPP_int_fun_int_int(F,X_1),hAPP_f1594865479ol_int(F_1,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool))))))).
% 15.62/15.43 all X_1 A F F_1 (hBOOL(finite988810631ne_nat(F,F_1))-> (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))-> (hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool))=bot_bot_fun_nat_bool->hAPP_f22106695ol_nat(F_1,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),A))=X_1)& (hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool))!=bot_bot_fun_nat_bool->hAPP_f22106695ol_nat(F_1,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),A))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(F,X_1),hAPP_f22106695ol_nat(F_1,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool))))))).
% 15.62/15.43 all X_1 A F F_1 (is_pname(X_1)-> (hBOOL(finite1282449217_pname(F,F_1))-> (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))-> (hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),bot_bo844097828e_bool))=bot_bo844097828e_bool->hAPP_f1297739591_pname(F_1,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),A))=X_1)& (hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),bot_bo844097828e_bool))!=bot_bo844097828e_bool->hAPP_f1297739591_pname(F_1,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),A))=hAPP_pname_pname(hAPP_p1170154830_pname(F,X_1),hAPP_f1297739591_pname(F_1,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),bot_bo844097828e_bool)))))))).
% 15.62/15.43 all X_1 A F F_1 (is_a(X_1)-> (hBOOL(finite_folding_one_a(F,F_1))-> (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A))-> (hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool))=bot_bot_fun_a_bool->hAPP_fun_a_bool_a(F_1,A)=X_1)& (hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool))!=bot_bot_fun_a_bool->hAPP_fun_a_bool_a(F_1,A)=hAPP_a_a(hAPP_a_fun_a_a(F,X_1),hAPP_fun_a_bool_a(F_1,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool))))))))).
% 15.62/15.43 all X_1 A F F_1 (hBOOL(finite1626084323ne_int(F,F_1))-> (hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A))-> (hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool))=bot_bot_fun_int_bool->hAPP_f1594865479ol_int(F_1,A)=X_1)& (hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool))!=bot_bot_fun_int_bool->hAPP_f1594865479ol_int(F_1,A)=hAPP_int_int(hAPP_int_fun_int_int(F,X_1),hAPP_f1594865479ol_int(F_1,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool)))))))).
% 15.62/15.43 all X_1 A F F_1 (hBOOL(finite988810631ne_nat(F,F_1))-> (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))-> (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))-> (hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool))=bot_bot_fun_nat_bool->hAPP_f22106695ol_nat(F_1,A)=X_1)& (hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool))!=bot_bot_fun_nat_bool->hAPP_f22106695ol_nat(F_1,A)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(F,X_1),hAPP_f22106695ol_nat(F_1,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool)))))))).
% 15.62/15.43 all X_1 A F F_1 (is_pname(X_1)-> (hBOOL(finite1282449217_pname(F,F_1))-> (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))-> (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))-> (hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),bot_bo844097828e_bool))=bot_bo844097828e_bool->hAPP_f1297739591_pname(F_1,A)=X_1)& (hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),bot_bo844097828e_bool))!=bot_bo844097828e_bool->hAPP_f1297739591_pname(F_1,A)=hAPP_pname_pname(hAPP_p1170154830_pname(F,X_1),hAPP_f1297739591_pname(F_1,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),bot_bo844097828e_bool))))))))).
% 15.62/15.43 all X_1 A (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A))->hAPP_fun_a_bool_nat(finite_card_a,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool)))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_fun_a_bool_nat(finite_card_a,A)),one_one_nat))& (-hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A))->hAPP_fun_a_bool_nat(finite_card_a,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool)))=hAPP_fun_a_bool_nat(finite_card_a,A))).
% 15.62/15.43 all X_1 A (hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A))->hAPP_f957591787ol_nat(finite_card_int,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool)))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_f957591787ol_nat(finite_card_int,A)),one_one_nat))& (-hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A))->hAPP_f957591787ol_nat(finite_card_int,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool)))=hAPP_f957591787ol_nat(finite_card_int,A))).
% 15.62/15.43 all X_1 A (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))-> (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))->hAPP_f22106695ol_nat(finite_card_nat,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool)))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_f22106695ol_nat(finite_card_nat,A)),one_one_nat))& (-hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))->hAPP_f22106695ol_nat(finite_card_nat,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool)))=hAPP_f22106695ol_nat(finite_card_nat,A))).
% 15.62/15.43 all X_1 A (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))-> (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))->hAPP_f921600141ol_nat(finite_card_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),bot_bo844097828e_bool)))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_f921600141ol_nat(finite_card_pname,A)),one_one_nat))& (-hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))->hAPP_f921600141ol_nat(finite_card_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),bot_bo844097828e_bool)))=hAPP_f921600141ol_nat(finite_card_pname,A))).
% 15.62/15.43 all X_1 A (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A))->hAPP_fun_a_bool_nat(finite_card_a,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool)))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_fun_a_bool_nat(finite_card_a,A)),one_one_nat))).
% 15.62/15.43 all X_1 A (hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A))->hAPP_f957591787ol_nat(finite_card_int,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool)))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_f957591787ol_nat(finite_card_int,A)),one_one_nat))).
% 15.62/15.43 all X_1 A (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))-> (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))->hAPP_f22106695ol_nat(finite_card_nat,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool)))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_f22106695ol_nat(finite_card_nat,A)),one_one_nat))).
% 15.62/15.43 all X_1 A (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))-> (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))->hAPP_f921600141ol_nat(finite_card_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),bot_bo844097828e_bool)))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_f921600141ol_nat(finite_card_pname,A)),one_one_nat))).
% 15.62/15.43 all X_1 (one_one_int=X_1<->X_1=one_one_int).
% 15.62/15.43 all X_1 (one_one_nat=X_1<->X_1=one_one_nat).
% 15.62/15.43 all N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(suc,N)),one_one_nat)=N).
% 15.62/15.43 all M_1 N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),hAPP_nat_nat(suc,N))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),one_one_nat)),N)).
% 15.62/15.43 all X_1 F F_1 (is_a(X_1)-> (hBOOL(finite_folding_one_a(F,F_1))->hAPP_fun_a_bool_a(F_1,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool))=X_1)).
% 15.62/15.43 all X_1 F F_1 (hBOOL(finite988810631ne_nat(F,F_1))->hAPP_f22106695ol_nat(F_1,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool))=X_1).
% 15.62/15.43 all X_1 F F_1 (hBOOL(finite1626084323ne_int(F,F_1))->hAPP_f1594865479ol_int(F_1,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool))=X_1).
% 15.62/15.43 all B A_2 A (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_2),A))-> (-hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_2),B))->hAPP_fun_a_bool_nat(finite_card_a,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),B)))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_fun_a_bool_nat(finite_card_a,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),B))),one_one_nat)))).
% 15.62/15.43 all B A_2 A (hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_2),A))-> (-hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_2),B))->hAPP_f957591787ol_nat(finite_card_int,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),B)))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_f957591787ol_nat(finite_card_int,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),B))),one_one_nat)))).
% 15.62/15.43 all B A_2 A (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))-> (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_2),A))-> (-hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_2),B))->hAPP_f22106695ol_nat(finite_card_nat,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),B)))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_f22106695ol_nat(finite_card_nat,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B))),one_one_nat)))).
% 15.62/15.43 all B A_2 A (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))-> (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_2),A))-> (-hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_2),B))->hAPP_f921600141ol_nat(finite_card_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A_2),B)))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_f921600141ol_nat(finite_card_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),B))),one_one_nat)))).
% 15.62/15.43 all X_1 A F F_1 (is_fun_a_bool(A)-> (hBOOL(finite_folding_one_a(F,F_1))-> (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))-> (-hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A))-> (A!=bot_bot_fun_a_bool->hAPP_fun_a_bool_a(F_1,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),A))=hAPP_a_a(hAPP_a_fun_a_a(F,X_1),hAPP_fun_a_bool_a(F_1,A))))))).
% 15.62/15.43 all X_1 A F F_1 (hBOOL(finite1626084323ne_int(F,F_1))-> (hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))-> (-hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A))-> (A!=bot_bot_fun_int_bool->hAPP_f1594865479ol_int(F_1,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),A))=hAPP_int_int(hAPP_int_fun_int_int(F,X_1),hAPP_f1594865479ol_int(F_1,A)))))).
% 15.62/15.43 all X_1 A F F_1 (hBOOL(finite988810631ne_nat(F,F_1))-> (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))-> (-hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))-> (A!=bot_bot_fun_nat_bool->hAPP_f22106695ol_nat(F_1,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),A))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(F,X_1),hAPP_f22106695ol_nat(F_1,A)))))).
% 15.62/15.43 all X_1 A F F_1 (is_fun_pname_bool(A)-> (hBOOL(finite1282449217_pname(F,F_1))-> (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))-> (-hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))-> (A!=bot_bo844097828e_bool->hAPP_f1297739591_pname(F_1,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),A))=hAPP_pname_pname(hAPP_p1170154830_pname(F,X_1),hAPP_f1297739591_pname(F_1,A))))))).
% 15.62/15.43 all A F F_1 (is_fun_a_bool(A)-> (hBOOL(finite_folding_one_a(F,F_1))-> (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))-> (A!=bot_bot_fun_a_bool-> ((all X_2 Y_2 (is_a(X_2)&is_a(Y_2)->hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_a_a(hAPP_a_fun_a_a(F,X_2),Y_2)),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_2),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,Y_2),bot_bot_fun_a_bool))))))->hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_fun_a_bool_a(F_1,A)),A))))))).
% 15.62/15.43 all A F F_1 (hBOOL(finite1626084323ne_int(F,F_1))-> (hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))-> (A!=bot_bot_fun_int_bool-> ((all X_2 Y_2 hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(F,X_2),Y_2)),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_2),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,Y_2),bot_bot_fun_int_bool)))))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_f1594865479ol_int(F_1,A)),A)))))).
% 15.62/15.43 all A F F_1 (hBOOL(finite988810631ne_nat(F,F_1))-> (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))-> (A!=bot_bot_fun_nat_bool-> ((all X_2 Y_2 hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(F,X_2),Y_2)),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_2),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,Y_2),bot_bot_fun_nat_bool)))))->hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_f22106695ol_nat(F_1,A)),A)))))).
% 15.62/15.43 all A F F_1 (is_fun_pname_bool(A)-> (hBOOL(finite1282449217_pname(F,F_1))-> (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))-> (A!=bot_bo844097828e_bool-> ((all X_2 Y_2 (is_pname(X_2)&is_pname(Y_2)->hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_pname_pname(hAPP_p1170154830_pname(F,X_2),Y_2)),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,Y_2),bot_bo844097828e_bool))))))->hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_f1297739591_pname(F_1,A)),A))))))).
% 15.62/15.43 all X_1 A (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A))->hAPP_fun_a_bool_nat(finite_card_a,A)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),hAPP_fun_a_bool_nat(finite_card_a,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool)))))).
% 15.62/15.43 all X_1 A (hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A))->hAPP_f957591787ol_nat(finite_card_int,A)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),hAPP_f957591787ol_nat(finite_card_int,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool)))))).
% 15.62/15.43 all X_1 A (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))-> (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))->hAPP_f22106695ol_nat(finite_card_nat,A)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),hAPP_f22106695ol_nat(finite_card_nat,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool)))))).
% 15.62/15.43 all X_1 A (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))-> (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))->hAPP_f921600141ol_nat(finite_card_pname,A)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),hAPP_f921600141ol_nat(finite_card_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),bot_bo844097828e_bool)))))).
% 15.62/15.43 all X_1 A (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))->hAPP_fun_a_bool_nat(finite_card_a,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),A))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),hAPP_fun_a_bool_nat(finite_card_a,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool))))).
% 15.62/15.43 all X_1 A (hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))->hAPP_f957591787ol_nat(finite_card_int,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),A))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),hAPP_f957591787ol_nat(finite_card_int,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool))))).
% 15.62/15.43 all X_1 A (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))->hAPP_f22106695ol_nat(finite_card_nat,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),A))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),hAPP_f22106695ol_nat(finite_card_nat,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool))))).
% 15.62/15.43 all X_1 A (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))->hAPP_f921600141ol_nat(finite_card_pname,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),A))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),hAPP_f921600141ol_nat(finite_card_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),bot_bo844097828e_bool))))).
% 15.62/15.43 all B A F F_1 (hBOOL(finite1432773856em_int(F,F_1))-> (hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))-> (B!=bot_bot_fun_int_bool-> (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),A))->hAPP_int_int(hAPP_int_fun_int_int(F,hAPP_f1594865479ol_int(F_1,B)),hAPP_f1594865479ol_int(F_1,A))=hAPP_f1594865479ol_int(F_1,A))))).
% 15.62/15.43 all B A F F_1 (hBOOL(finite795500164em_nat(F,F_1))-> (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))-> (B!=bot_bot_fun_nat_bool-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),A))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(F,hAPP_f22106695ol_nat(F_1,B)),hAPP_f22106695ol_nat(F_1,A))=hAPP_f22106695ol_nat(F_1,A))))).
% 15.62/15.43 all B A F F_1 (is_fun_pname_bool(B)-> (hBOOL(finite89670078_pname(F,F_1))-> (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))-> (B!=bot_bo844097828e_bool-> (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),A))->hAPP_pname_pname(hAPP_p1170154830_pname(F,hAPP_f1297739591_pname(F_1,B)),hAPP_f1297739591_pname(F_1,A))=hAPP_f1297739591_pname(F_1,A)))))).
% 15.62/15.43 all B A F F_1 (is_fun_a_bool(B)-> (hBOOL(finite1819937229idem_a(F,F_1))-> (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))-> (B!=bot_bot_fun_a_bool-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),A))->hAPP_a_a(hAPP_a_fun_a_a(F,hAPP_fun_a_bool_a(F_1,B)),hAPP_fun_a_bool_a(F_1,A))=hAPP_fun_a_bool_a(F_1,A)))))).
% 15.62/15.43 all X_1 A F F_1 (is_fun_a_bool(A)-> (hBOOL(finite1819937229idem_a(F,F_1))-> (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))-> (A!=bot_bot_fun_a_bool->hAPP_fun_a_bool_a(F_1,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),A))=hAPP_a_a(hAPP_a_fun_a_a(F,X_1),hAPP_fun_a_bool_a(F_1,A)))))).
% 15.62/15.43 all X_1 A F F_1 (hBOOL(finite1432773856em_int(F,F_1))-> (hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))-> (A!=bot_bot_fun_int_bool->hAPP_f1594865479ol_int(F_1,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),A))=hAPP_int_int(hAPP_int_fun_int_int(F,X_1),hAPP_f1594865479ol_int(F_1,A))))).
% 15.62/15.43 all X_1 A F F_1 (hBOOL(finite795500164em_nat(F,F_1))-> (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))-> (A!=bot_bot_fun_nat_bool->hAPP_f22106695ol_nat(F_1,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),A))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(F,X_1),hAPP_f22106695ol_nat(F_1,A))))).
% 15.62/15.43 all X_1 A F F_1 (is_fun_pname_bool(A)-> (hBOOL(finite89670078_pname(F,F_1))-> (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))-> (A!=bot_bo844097828e_bool->hAPP_f1297739591_pname(F_1,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),A))=hAPP_pname_pname(hAPP_p1170154830_pname(F,X_1),hAPP_f1297739591_pname(F_1,A)))))).
% 15.62/15.43 all Pa F_1 (is_fun_a_bool(F_1)-> (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,F_1))-> (F_1!=bot_bot_fun_a_bool-> ((all X_2 (is_a(X_2)->hBOOL(hAPP_fun_a_bool_bool(Pa,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_2),bot_bot_fun_a_bool)))))-> ((all X_2 F_2 (is_a(X_2)&is_fun_a_bool(F_2)-> (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,F_2))-> (F_2!=bot_bot_fun_a_bool-> (-hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_2),F_2))-> (hBOOL(hAPP_fun_a_bool_bool(Pa,F_2))->hBOOL(hAPP_fun_a_bool_bool(Pa,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_2),F_2)))))))))->hBOOL(hAPP_fun_a_bool_bool(Pa,F_1))))))).
% 15.62/15.43 all Pa F_1 (hBOOL(hAPP_f448129468l_bool(finite_finite_int,F_1))-> (F_1!=bot_bot_fun_int_bool-> ((all X_2 hBOOL(hAPP_f448129468l_bool(Pa,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_2),bot_bot_fun_int_bool))))-> ((all X_2 F_2 (hBOOL(hAPP_f448129468l_bool(finite_finite_int,F_2))-> (F_2!=bot_bot_fun_int_bool-> (-hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),F_2))-> (hBOOL(hAPP_f448129468l_bool(Pa,F_2))->hBOOL(hAPP_f448129468l_bool(Pa,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_2),F_2))))))))->hBOOL(hAPP_f448129468l_bool(Pa,F_1)))))).
% 15.62/15.43 all Pa F_1 (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,F_1))-> (F_1!=bot_bot_fun_nat_bool-> ((all X_2 hBOOL(hAPP_f54304608l_bool(Pa,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_2),bot_bot_fun_nat_bool))))-> ((all X_2 F_2 (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,F_2))-> (F_2!=bot_bot_fun_nat_bool-> (-hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),F_2))-> (hBOOL(hAPP_f54304608l_bool(Pa,F_2))->hBOOL(hAPP_f54304608l_bool(Pa,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_2),F_2))))))))->hBOOL(hAPP_f54304608l_bool(Pa,F_1)))))).
% 15.62/15.43 all Pa F_1 (is_fun_pname_bool(F_1)-> (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1))-> (F_1!=bot_bo844097828e_bool-> ((all X_2 (is_pname(X_2)->hBOOL(hAPP_f1664156314l_bool(Pa,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_2),bot_bo844097828e_bool)))))-> ((all X_2 F_2 (is_pname(X_2)&is_fun_pname_bool(F_2)-> (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_2))-> (F_2!=bot_bo844097828e_bool-> (-hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),F_2))-> (hBOOL(hAPP_f1664156314l_bool(Pa,F_2))->hBOOL(hAPP_f1664156314l_bool(Pa,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_2),F_2)))))))))->hBOOL(hAPP_f1664156314l_bool(Pa,F_1))))))).
% 15.62/15.43 all X_3 (hAPP_fun_a_bool_a(the_elem_a,X_3)=hAPP_fun_a_bool_a(the_a,cOMBB_1273333599bool_a(hAPP_f1631501043l_bool(fe_qual_fun_a_bool,X_3),hAPP_f1038053735a_bool(cOMBC_394484100a_bool(insert_a),bot_bot_fun_a_bool)))).
% 15.62/15.43 all X_3 (hAPP_f22106695ol_nat(the_elem_nat,X_3)=hAPP_f22106695ol_nat(the_nat,cOMBB_955900739ol_nat(hAPP_f103356543l_bool(fe_qual_fun_nat_bool,X_3),hAPP_f1570313510t_bool(cOMBC_178881787t_bool(insert_nat),bot_bot_fun_nat_bool)))).
% 15.62/15.43 all X_3 (hAPP_f1594865479ol_int(the_elem_int,X_3)=hAPP_f1594865479ol_int(the_int,cOMBB_1418110531ol_int(hAPP_f284875647l_bool(fe_qual_fun_int_bool,X_3),hAPP_f1048215610t_bool(cOMBC_1683390479t_bool(insert_int),bot_bot_fun_int_bool)))).
% 15.62/15.43 all A_13 B_14 C_10 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_13),B_14)),C_10)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_13),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_14),C_10))).
% 15.62/15.43 all A_13 B_14 C_10 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_13),B_14)),C_10)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_13),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_14),C_10))).
% 15.62/15.43 all A_2 B_3 C_6 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_2),B_3)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_2),C_6)<->B_3=C_6).
% 15.62/15.43 all A_2 B_3 C_6 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_2),B_3)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_2),C_6)<->B_3=C_6).
% 15.62/15.43 all B_3 A_2 C_6 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_3),A_2)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_6),A_2)<->B_3=C_6).
% 15.62/15.43 all B_3 A_2 C_6 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_3),A_2)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_6),A_2)<->B_3=C_6).
% 15.62/15.43 all A_12 B_13 C_9 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_12),B_13)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_12),C_9)->B_13=C_9).
% 15.62/15.43 all A_12 B_13 C_9 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_12),B_13)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_12),C_9)->B_13=C_9).
% 15.62/15.43 all A_11 B_12 C_8 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_11),B_12)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_11),C_8)->B_12=C_8).
% 15.62/15.43 all A_11 B_12 C_8 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_11),B_12)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_11),C_8)->B_12=C_8).
% 15.62/15.43 all B_11 A_10 C_7 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_11),A_10)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_7),A_10)->B_11=C_7).
% 15.62/15.43 all B_11 A_10 C_7 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_11),A_10)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_7),A_10)->B_11=C_7).
% 15.62/15.43 all M_1 N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N),M_1)).
% 15.62/15.43 all X Y Z (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))=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))).
% 15.62/15.43 all M_1 N K_1 (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)),K_1)=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),K_1))).
% 15.62/15.43 all K M Na (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K),M)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K),Na)<->M=Na).
% 15.62/15.43 all M K Na (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),K)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Na),K)<->M=Na).
% 15.62/15.43 all A_2 C_6 B_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_2),C_6)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_3),C_6)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_2),B_3))).
% 15.62/15.43 all A_2 C_6 B_3 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_2),C_6)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_3),C_6)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_2),B_3))).
% 15.62/15.43 all C_6 A_2 B_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_6),A_2)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_6),B_3)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_2),B_3))).
% 15.62/15.43 all C_6 A_2 B_3 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_6),A_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_6),B_3)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_2),B_3))).
% 15.62/15.43 all C_5 A_9 B_10 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_9),B_10))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_9),C_5)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_10),C_5)))).
% 15.62/15.43 all C_5 A_9 B_10 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_9),B_10))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_9),C_5)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_10),C_5)))).
% 15.62/15.43 all C_4 A_8 B_9 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_8),B_9))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_4),A_8)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_4),B_9)))).
% 15.62/15.43 all C_4 A_8 B_9 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_8),B_9))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_4),A_8)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_4),B_9)))).
% 15.62/15.43 all C_3 D_3 A_7 B_8 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_7),B_8))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_3),D_3))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_7),C_3)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_8),D_3))))).
% 15.62/15.43 all C_3 D_3 A_7 B_8 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_7),B_8))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_3),D_3))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_7),C_3)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_8),D_3))))).
% 15.62/15.43 all A_6 C_2 B_7 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_6),C_2)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_7),C_2)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_6),B_7))).
% 15.62/15.43 all A_6 C_2 B_7 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_6),C_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_7),C_2)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_6),B_7))).
% 15.62/15.43 all C_1 A_5 B_6 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_1),A_5)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_1),B_6)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_5),B_6))).
% 15.62/15.43 all C_1 A_5 B_6 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_1),A_5)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_1),B_6)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_5),B_6))).
% 15.62/15.43 all A_4 B_5 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_4),B_5)),B_5)=A_4).
% 15.62/15.43 all A_3 B_4 (hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_3),B_4)),B_4)=A_3).
% 15.62/15.43 all M_1 N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),hAPP_nat_nat(suc,N))=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N))).
% 15.62/15.43 all M_1 N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(suc,M_1)),N)=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N))).
% 15.62/15.43 all M_1 N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(suc,M_1)),N)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),hAPP_nat_nat(suc,N))).
% 15.62/15.43 all N M_1 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N))).
% 15.62/15.43 all N M_1 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N),M_1))).
% 15.62/15.43 all M Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),Na))<-> (exists K_2 (Na=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),K_2)))).
% 15.62/15.43 all K M Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K),Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),Na))).
% 15.62/15.43 all M_1 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,I_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J),M_1)))).
% 15.62/15.43 all M_1 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,I_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),J)))).
% 15.62/15.43 all K_1 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,I_1),K_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J),K_1)))).
% 15.62/15.43 all K_1 L_1 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,K_1),L_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)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J),L_1))))).
% 15.62/15.43 all M_1 K_1 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),K_1)),N))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),N))).
% 15.62/15.43 all M_1 K_1 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),K_1)),N))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N))).
% 15.62/15.43 all M_1 K_1 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),K_1)),N))-> -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N))-> -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),N)))).
% 15.62/15.43 all M_1 N (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)),N)=M_1).
% 15.62/15.43 all N 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),M_1)),N)=M_1).
% 15.62/15.43 all I_1 J K_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,I_1),J)),K_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,I_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J),K_1))).
% 15.62/15.43 all K_1 M_1 N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_1),M_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_1),N))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N)).
% 15.62/15.43 all M_1 K_1 N (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_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N),K_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N)).
% 15.62/15.43 all I_1 K_1 J (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),J))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,I_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J),K_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_1),K_1)),J)).
% 15.62/15.43 all J_1 K I_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J_1),K)),I_2))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_2),K)))).
% 15.62/15.43 all M_1 K_1 N (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,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),M_1)),K_1)))).
% 15.62/15.43 all N M_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),M_1))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N))=M_1).
% 15.62/15.43 all I_1 K_1 J (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),J))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J),K_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_1),J)),K_1)).
% 15.62/15.43 all I_2 K J_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),J_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J_1),K)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_2),K)),J_1)))).
% 15.62/15.43 all N M_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),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)),N)=M_1).
% 15.62/15.43 all K I_2 J_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),J_1))-> (hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J_1),I_2)=K<->J_1=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K),I_2))).
% 15.62/15.43 all I_1 K_1 J (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),J))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_1),J)),K_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J),K_1))).
% 15.62/15.43 all I_1 K_1 J (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),J))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J),K_1)),I_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J),I_1)),K_1)).
% 15.62/15.43 all I_1 K_1 J (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),J))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J),I_1)),K_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J),K_1)),I_1)).
% 15.62/15.43 all N (hAPP_nat_nat(suc,N)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),N)).
% 15.62/15.43 all N (hAPP_nat_nat(suc,N)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N),one_one_nat)).
% 15.62/15.43 all M_1 K_1 J (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),J))->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),K_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_1)),hAPP_nat_nat(suc,J))).
% 15.62/15.43 all M_1 K_1 J (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),J))->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),K_1))),M_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(suc,J)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_1),M_1))).
% 15.62/15.43 all Y X Z (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X),Z))->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)))).
% 15.62/15.43 all Z 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)))).
% 15.62/15.43 all N hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),hAPP_nat_nat(suc,N))).
% 15.62/15.43 all M_1 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,M_1)),hAPP_nat_nat(suc,N)))).
% 15.62/15.43 all K hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_nat),K)))).
% 15.62/15.43 all N (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),N))).
% 15.62/15.43 all M Na (M!=Na<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),M))).
% 15.62/15.43 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)))).
% 15.62/15.43 all N (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),N))).
% 15.62/15.43 all N M_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),M_1))->M_1!=N).
% 15.62/15.43 all S T (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,S),T))->S!=T).
% 15.62/15.43 all Pa M Na ((hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(Pa,Na),M)))-> ((M=Na->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(Pa,Na),M)))-> ((hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),M))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(Pa,Na),M)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(Pa,Na),M))))).
% 15.62/15.43 all M Na (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),hAPP_nat_nat(suc,M)))).
% 15.62/15.43 all M Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),hAPP_nat_nat(suc,Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na))|M=Na).
% 15.62/15.43 all M Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,M)),hAPP_nat_nat(suc,Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na))).
% 15.62/15.43 all Na M (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),M))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),hAPP_nat_nat(suc,M)))<->Na=M)).
% 15.62/15.43 all N M_1 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),M_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),hAPP_nat_nat(suc,M_1)))->M_1=N)).
% 15.62/15.43 all M_1 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),hAPP_nat_nat(suc,N)))).
% 15.62/15.43 all M_1 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N))-> (hAPP_nat_nat(suc,M_1)!=N->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,M_1)),N)))).
% 15.62/15.43 all K_1 I_1 J (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),J))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J),K_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,I_1)),K_1)))).
% 15.62/15.43 all M_1 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),hAPP_nat_nat(suc,N)))-> (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N))->M_1=N)).
% 15.62/15.43 all M_1 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,M_1)),N))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N))).
% 15.62/15.43 all M_1 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,M_1)),hAPP_nat_nat(suc,N)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N))).
% 15.62/15.43 all I_1 J (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_1),J)),I_1))).
% 15.62/15.43 all J I_1 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J),I_1)),I_1))).
% 15.62/15.43 all K M Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K),Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na))).
% 15.62/15.43 all M_1 I_1 J (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),J))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J),M_1)))).
% 15.62/15.43 all M_1 I_1 J (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),J))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),J)))).
% 15.62/15.43 all K_1 I_1 J (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_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,I_1),K_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J),K_1)))).
% 15.62/15.43 all K_1 L_1 I_1 J (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),J))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,K_1),L_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)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J),L_1))))).
% 15.62/15.43 all M_1 N K_1 L_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,K_1),L_1))-> (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),L_1)=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_1),N)))).
% 15.62/15.43 all I_1 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),J)),K_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),K_1))).
% 15.62/15.43 all Z 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)))).
% 15.62/15.43 all Y X Z (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X),Z))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Y),Z)))).
% 15.62/15.43 all M Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),Na))&M!=Na).
% 15.62/15.43 all M Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),Na))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na))|M=Na).
% 15.62/15.43 all M_1 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N))).
% 15.62/15.43 all M_1 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N))-> (M_1!=N->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N)))).
% 15.62/15.43 all M_1 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N))|M_1=N->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N))).
% 15.62/15.43 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))).
% 15.62/15.43 all N J K_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J),K_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J),N)),K_1))).
% 15.62/15.43 all L_1 M_1 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),L_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,L_1),N)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,L_1),M_1))))).
% 15.62/15.43 all N_2 (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,N_2))<-> (exists M_2 all X_2 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),N_2))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_2),M_2))))).
% 15.62/15.43 all Na (hAPP_f22106695ol_nat(finite_card_nat,collect_nat(hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_nat),Na)))=Na).
% 15.62/15.43 all Pa I_2 hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,Pa),hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_nat),I_2))))).
% 15.62/15.43 all I_1 M_1 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_1),M_1)))).
% 15.62/15.43 all I_1 M_1 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),I_1)))).
% 15.62/15.43 all M Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na))<-> (exists K_2 (Na=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),K_2))))).
% 15.62/15.43 all Na M (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),M))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,Na)),M))).
% 15.62/15.43 all M Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),hAPP_nat_nat(suc,Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),Na))).
% 15.62/15.43 all M Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,M)),Na))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na))).
% 15.62/15.43 all M_1 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),hAPP_nat_nat(suc,N)))).
% 15.62/15.43 all M_1 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,M_1)),N))).
% 15.62/15.43 all M Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),Na))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),hAPP_nat_nat(suc,M)))<->Na=M)).
% 15.62/15.43 all M_1 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,M_1)),N))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N))).
% 15.62/15.43 all M_1 N hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N)),hAPP_nat_nat(suc,M_1))).
% 15.62/15.43 all I_2 J_1 K (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J_1),K)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_2),K)),J_1))).
% 15.62/15.43 all M_1 N (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N))=M_1).
% 15.62/15.43 all C A_1 B_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_1),B_2))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C),A_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,A_1),C)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,B_2),C))))).
% 15.62/15.43 all Na K M (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),M))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),Na))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),K)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,Na),K)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na))))).
% 15.62/15.43 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))).
% 15.62/15.43 all M K F ((all M_2 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_2),N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(F,M_2)),hAPP_nat_nat(F,N_1)))))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(F,M)),K)),hAPP_nat_nat(F,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),K))))).
% 15.62/15.43 all Pa I_2 J_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),J_1))-> (hBOOL(hAPP_nat_bool(Pa,J_1))-> ((all I (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J_1))-> (hBOOL(hAPP_nat_bool(Pa,hAPP_nat_nat(suc,I)))->hBOOL(hAPP_nat_bool(Pa,I)))))->hBOOL(hAPP_nat_bool(Pa,I_2))))).
% 15.62/15.43 all M_1 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N))-> (exists K_2 (N=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),K_2))))).
% 15.62/15.43 all Na N_2 ((all X_2 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),N_2))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_2),Na))))->hBOOL(hAPP_f54304608l_bool(finite_finite_nat,N_2))).
% 15.62/15.43 all I_2 J_1 F ((all 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(F,I)),hAPP_nat_nat(F,J_2)))))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),J_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(F,I_2)),hAPP_nat_nat(F,J_1))))).
% 15.62/15.43 all I_1 K_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),K_1))-> (K_1!=hAPP_nat_nat(suc,I_1)-> -(all J_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),J_2))->K_1!=hAPP_nat_nat(suc,J_2))))).
% 15.62/15.43 all I_1 K_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,I_1)),K_1))-> -(all J_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),J_2))->K_1!=hAPP_nat_nat(suc,J_2)))).
% 15.62/15.43 all N (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),zero_zero_nat))).
% 15.62/15.43 all N hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),N)).
% 15.62/15.43 all N hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(suc,N))).
% 15.62/15.43 all Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Na),zero_zero_nat))<->Na=zero_zero_nat).
% 15.62/15.43 all N hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),N)).
% 15.62/15.43 all M_1 N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N)=zero_zero_nat-> (hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),M_1)=zero_zero_nat->M_1=N)).
% 15.62/15.43 all M_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),M_1)=zero_zero_nat).
% 15.62/15.43 all M_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),zero_zero_nat)=M_1).
% 15.62/15.43 all N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,zero_zero_nat),N)=zero_zero_nat).
% 15.62/15.43 bot_bot_nat=zero_zero_nat.
% 15.62/15.43 all M_1 N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N)=M_1->N=zero_zero_nat).
% 15.62/15.43 all M Na (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),Na)=zero_zero_nat<->M=zero_zero_nat&Na=zero_zero_nat).
% 15.62/15.43 all M_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),zero_zero_nat)=M_1).
% 15.62/15.43 all N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,zero_zero_nat),N)=N).
% 15.62/15.43 all N (N!=zero_zero_nat->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))).
% 15.62/15.43 all M_1 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N))->N!=zero_zero_nat).
% 15.62/15.43 all N (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),zero_zero_nat))).
% 15.62/15.43 all Na (Na!=zero_zero_nat<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na))).
% 15.62/15.43 all N (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),zero_zero_nat))).
% 15.62/15.43 all M_1 (hAPP_nat_nat(suc,M_1)!=zero_zero_nat).
% 15.62/15.43 all M_1 (zero_zero_nat!=hAPP_nat_nat(suc,M_1)).
% 15.62/15.43 all Nat_2 (hAPP_nat_nat(suc,Nat_2)!=zero_zero_nat).
% 15.62/15.43 all M_1 (hAPP_nat_nat(suc,M_1)!=zero_zero_nat).
% 15.62/15.43 all Nat_1 (zero_zero_nat!=hAPP_nat_nat(suc,Nat_1)).
% 15.62/15.43 all M_1 (zero_zero_nat!=hAPP_nat_nat(suc,M_1)).
% 15.62/15.43 all Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na))<-> (exists M_2 (Na=hAPP_nat_nat(suc,M_2)))).
% 15.62/15.43 all Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),hAPP_nat_nat(suc,zero_zero_nat)))<->Na=zero_zero_nat).
% 15.62/15.43 all M Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),hAPP_nat_nat(suc,Na)))<->M=zero_zero_nat| (exists J_2 (M=hAPP_nat_nat(suc,J_2)&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J_2),Na))))).
% 15.62/15.43 all M Na (hAPP_nat_nat(suc,zero_zero_nat)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),Na)<->M=hAPP_nat_nat(suc,zero_zero_nat)&Na=zero_zero_nat|M=zero_zero_nat&Na=hAPP_nat_nat(suc,zero_zero_nat)).
% 15.62/15.43 all M Na (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),Na)=hAPP_nat_nat(suc,zero_zero_nat)<->M=hAPP_nat_nat(suc,zero_zero_nat)&Na=zero_zero_nat|M=zero_zero_nat&Na=hAPP_nat_nat(suc,zero_zero_nat)).
% 15.62/15.43 all M Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),Na)))<->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),Na))).
% 15.62/15.43 all Na 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,Na),M)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na))).
% 15.62/15.43 all M_1 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),M_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)),M_1)))).
% 15.62/15.43 all N M_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N),M_1))=zero_zero_nat).
% 15.62/15.43 all M Na (hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),Na)=zero_zero_nat<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),Na))).
% 15.62/15.43 all M_1 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N)=zero_zero_nat).
% 15.62/15.43 one_one_nat=hAPP_nat_nat(suc,zero_zero_nat).
% 15.62/15.43 all M Na (hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),hAPP_nat_nat(suc,Na))=hAPP_nat_nat(nat_case_nat(zero_zero_nat,cOMBI_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),Na))).
% 15.62/15.43 all N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))->hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),hAPP_nat_nat(suc,zero_zero_nat)))=N).
% 15.62/15.43 all I_1 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),hAPP_nat_nat(suc,I_1))),N))).
% 15.62/15.43 all Pa A_2 B_3 (hBOOL(hAPP_nat_bool(Pa,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,A_2),B_3)))<-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_2),B_3))->hBOOL(hAPP_nat_bool(Pa,zero_zero_nat)))& (all D_2 (A_2=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_3),D_2)->hBOOL(hAPP_nat_bool(Pa,D_2))))).
% 15.62/15.43 all Pa A_2 B_3 (hBOOL(hAPP_nat_bool(Pa,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,A_2),B_3)))<-> -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_2),B_3))& -hBOOL(hAPP_nat_bool(Pa,zero_zero_nat))| (exists D_2 (A_2=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_3),D_2)& -hBOOL(hAPP_nat_bool(Pa,D_2)))))).
% 15.62/15.43 all I_2 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(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_f800510211t_bool(cOMBC_226598744l_bool(cOMBB_1146692694ol_nat(member_nat,suc)),M_3)),hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_nat),I_2)))))=hAPP_f22106695ol_nat(finite_card_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),M_3)),hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_nat),hAPP_nat_nat(suc,I_2)))))).
% 15.62/15.43 all I_2 M_3 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,zero_zero_nat),M_3))->hAPP_f22106695ol_nat(finite_card_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),M_3)),hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_nat),hAPP_nat_nat(suc,I_2)))))!=zero_zero_nat).
% 15.62/15.43 all I_2 M_3 (-hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,zero_zero_nat),M_3))->hAPP_f22106695ol_nat(finite_card_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_f800510211t_bool(cOMBC_226598744l_bool(cOMBB_1146692694ol_nat(member_nat,suc)),M_3)),hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_nat),I_2))))=hAPP_f22106695ol_nat(finite_card_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),M_3)),hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_nat),hAPP_nat_nat(suc,I_2)))))).
% 15.62/15.43 all N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))->hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),one_one_nat))=N).
% 15.62/15.43 all N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))->N=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),one_one_nat))).
% 15.62/15.43 all N M_1 ((M_1=zero_zero_nat->hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N)=N)& (M_1!=zero_zero_nat->hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N)=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),one_one_nat)),N)))).
% 15.62/15.43 all Na Pa (-hBOOL(hAPP_nat_bool(Pa,zero_zero_nat))-> (hBOOL(hAPP_nat_bool(Pa,Na))-> (exists K_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,K_2),Na))& (all I (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),K_2))-> -hBOOL(hAPP_nat_bool(Pa,I))))&hBOOL(hAPP_nat_bool(Pa,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_2),one_one_nat))))))).
% 15.62/15.43 all Na Pa (-hBOOL(hAPP_nat_bool(Pa,zero_zero_nat))-> (hBOOL(hAPP_nat_bool(Pa,Na))-> (exists K_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_2),Na))& (all I (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),K_2))-> -hBOOL(hAPP_nat_bool(Pa,I))))&hBOOL(hAPP_nat_bool(Pa,K_2)))))).
% 15.62/15.43 all I_1 J (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),J))-> (exists 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(plus_plus_nat,I_1),K_2)=J))).
% 15.62/15.43 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)))).
% 15.62/15.43 all Y (Y!=zero_zero_nat-> -(all Nat (Y!=hAPP_nat_nat(suc,Nat)))).
% 15.62/15.43 all Pa K (hBOOL(hAPP_nat_bool(Pa,K))-> ((all N_1 (hBOOL(hAPP_nat_bool(Pa,hAPP_nat_nat(suc,N_1)))->hBOOL(hAPP_nat_bool(Pa,N_1))))->hBOOL(hAPP_nat_bool(Pa,zero_zero_nat)))).
% 15.62/15.43 all N (N!=zero_zero_nat-> (exists M_2 (N=hAPP_nat_nat(suc,M_2)))).
% 15.62/15.43 all Na Pa (hBOOL(hAPP_nat_bool(Pa,zero_zero_nat))-> ((all N_1 (hBOOL(hAPP_nat_bool(Pa,N_1))->hBOOL(hAPP_nat_bool(Pa,hAPP_nat_nat(suc,N_1)))))->hBOOL(hAPP_nat_bool(Pa,Na)))).
% 15.62/15.43 all V (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),number_number_of_nat(V)))->number_number_of_nat(V)=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,number_number_of_nat(V)),one_one_nat))).
% 15.62/15.43 all N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,zero_zero_nat),N)=zero_zero_nat).
% 15.62/15.43 all M_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),zero_zero_nat)=zero_zero_nat).
% 15.62/15.43 all M Na (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),Na)=zero_zero_nat<->M=zero_zero_nat|Na=zero_zero_nat).
% 15.62/15.43 all K M Na (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),M)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),Na)<->M=Na|K=zero_zero_nat).
% 15.62/15.43 all M K Na (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),K)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Na),K)<->M=Na|K=zero_zero_nat).
% 15.62/15.43 all K M Na (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,K)),M)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,K)),Na)<->M=Na).
% 15.62/15.43 all M_1 N K_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)),K_1)=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_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N),K_1))).
% 15.63/15.43 all K_1 M_1 N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_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),M_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),N))).
% 15.63/15.43 all K_1 L_1 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,K_1),L_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,I_1),K_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,J),L_1))))).
% 15.63/15.43 all K_1 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(times_times_nat,K_1),I_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),J)))).
% 15.63/15.43 all K_1 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(times_times_nat,I_1),K_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,J),K_1)))).
% 15.63/15.43 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)))).
% 15.63/15.43 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))).
% 15.63/15.43 all M_1 N K_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),N)),K_1)=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_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N),K_1))).
% 15.63/15.43 all K_1 M_1 N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),M_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),N))).
% 15.63/15.43 all M Na (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),Na)=one_one_nat<->M=one_one_nat&Na=one_one_nat).
% 15.63/15.43 all N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N),one_one_nat)=N).
% 15.63/15.43 all M Na (one_one_nat=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),Na)<->M=one_one_nat&Na=one_one_nat).
% 15.63/15.43 all N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,one_one_nat),N)=N).
% 15.63/15.43 all M Na (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),Na)=hAPP_nat_nat(suc,zero_zero_nat)<->M=hAPP_nat_nat(suc,zero_zero_nat)&Na=hAPP_nat_nat(suc,zero_zero_nat)).
% 15.63/15.43 all K_1 I_1 J (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),J))-> (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),I_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),J))))).
% 15.63/15.43 all K_1 I_1 J (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),J))-> (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,I_1),K_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,J),K_1))))).
% 15.63/15.43 all M K Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),K)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Na),K)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na))).
% 15.63/15.43 all K M Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na))).
% 15.63/15.43 all M Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),Na)))<->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),Na))).
% 15.63/15.43 all K M Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,K)),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,K)),Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na))).
% 15.63/15.43 all M_1 N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),hAPP_nat_nat(suc,N))=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))).
% 15.63/15.43 all M_1 N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,M_1)),N)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),N))).
% 15.63/15.43 all K M Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,K)),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,K)),Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),Na))).
% 15.63/15.43 all M_1 N (M_1=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),N)->N=one_one_nat|M_1=zero_zero_nat).
% 15.63/15.43 all M_1 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),N))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),M_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),N))))).
% 15.63/15.43 all M_1 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),N))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),M_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N),M_1))))).
% 15.63/15.43 all M_1 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),N))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),M_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))))).
% 15.63/15.43 all M Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,zero_zero_nat)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),Na)))<->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)),Na))).
% 15.63/15.43 all K M Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),Na)))<-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),Na)))).
% 15.63/15.43 all M K Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),K)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Na),K)))<-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),Na)))).
% 15.63/15.43 all N M_1 ((M_1=zero_zero_nat->hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),N)=zero_zero_nat)& (M_1!=zero_zero_nat->hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),N)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),one_one_nat)),N)))).
% 15.63/15.43 all U M Na I_2 J_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),J_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_2),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_1),U)),Na)))<->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_1),I_2)),U)),Na))))).
% 15.63/15.44 all M_1 N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),N)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N),M_1)).
% 15.63/15.44 all M_1 N K_1 (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)),K_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,N),K_1))).
% 15.63/15.44 all K L (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(K)),number_number_of_int(L)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),L))).
% 15.63/15.44 all Z (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,one_one_int),Z)=Z).
% 15.63/15.44 all Z (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Z),one_one_int)=Z).
% 15.63/15.44 all Z W (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Z),W)=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,W),Z)).
% 15.63/15.44 all V W (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,number_number_of_int(V)),number_number_of_int(W))=number_number_of_int(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,V),W))).
% 15.63/15.44 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))).
% 15.63/15.44 all K L (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,number_number_of_int(K)),number_number_of_int(L)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),L))).
% 15.63/15.44 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))).
% 15.63/15.44 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))).
% 15.63/15.44 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))).
% 15.63/15.44 all V W (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,number_number_of_int(V)),number_number_of_int(W))=number_number_of_int(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V),W))).
% 15.63/15.44 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))).
% 15.63/15.44 all K_1 I_1 J (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,I_1),J))-> (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,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),I_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),J))))).
% 15.63/15.44 all Na 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),Na)=one_one_int<->M=one_one_int&Na=one_one_int)).
% 15.63/15.44 all Z (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)),Z)!=zero_zero_int).
% 15.63/15.44 all Z (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Z),zero_zero_int)=Z).
% 15.63/15.44 all Z (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,zero_zero_int),Z)=Z).
% 15.63/15.44 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),one_one_int)).
% 15.63/15.44 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))).
% 15.63/15.44 all K L (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),L))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,K),L)),zero_zero_int))).
% 15.63/15.44 all Z (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Z))->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)))).
% 15.63/15.44 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))).
% 15.63/15.44 all K_1 I_1 J (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,I_1),J))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K_1),I_1)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K_1),J)))).
% 15.63/15.44 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))).
% 15.63/15.44 all X Y Z (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))=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))).
% 15.63/15.44 all Z W (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Z),W)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,W),Z)).
% 15.63/15.44 all W hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,W),W)).
% 15.63/15.44 all Z W (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z),W))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,W),Z))).
% 15.63/15.44 all K_1 I_1 J (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,I_1),J))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,J),K_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,I_1),K_1)))).
% 15.63/15.44 all Z W (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z),W))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,W),Z))->Z=W)).
% 15.63/15.44 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))).
% 15.63/15.44 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))).
% 15.63/15.44 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).
% 15.63/15.44 all K_1 I_1 J (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,I_1),J))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,I_1),K_1)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,J),K_1)))).
% 15.63/15.44 all Z_4 Z W_2 W (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_2),W))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z_4),Z))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,W_2),Z_4)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,W),Z))))).
% 15.63/15.44 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))).
% 15.63/15.44 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))).
% 15.63/15.44 all W Z (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W),Z))->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))).
% 15.63/15.44 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).
% 15.63/15.44 all K M Na (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),M)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),Na)<->K=zero_zero_nat|M=Na).
% 15.63/15.44 all I_1 U_1 J K_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_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,J),U_1)),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(hAPP_nat_fun_nat_nat(plus_plus_nat,I_1),J)),U_1)),K_1)).
% 15.63/15.44 all M Na K (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K))-> (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),M)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),Na)<->M=Na)).
% 15.63/15.44 all M Na K (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na)))).
% 15.63/15.44 all M Na K (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),Na)))).
% 15.63/15.44 all U M Na J_1 I_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J_1),I_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(hAPP_nat_fun_nat_nat(times_times_nat,I_2),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_1),U)),Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,I_2),J_1)),U)),M)),Na)))).
% 15.63/15.44 all U_1 M_1 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(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_1),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),U_1)),N))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,I_1),J)),U_1)),M_1)),N)).
% 15.63/15.44 all U M Na J_1 I_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J_1),I_2))-> (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,I_2),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_1),U)),Na)<->hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,I_2),J_1)),U)),M)=Na)).
% 15.63/15.44 all U M Na I_2 J_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),J_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_2),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_1),U)),Na)))<->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_1),I_2)),U)),Na))))).
% 15.63/15.44 all U_1 M_1 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(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_1),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),U_1)),N))=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),I_1)),U_1)),N))).
% 15.63/15.44 all U M Na I_2 J_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),J_1))-> (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,I_2),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_1),U)),Na)<->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_1),I_2)),U)),Na))).
% 15.63/15.44 all U M Na J_1 I_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J_1),I_2))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,I_2),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_1),U)),Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,I_2),J_1)),U)),M)),Na)))).
% 15.63/15.44 all B_2 Q_2 R_2 B_1 Q_1 R_1 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_2),Q_2)),R_2)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_1),Q_1)),R_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),Q_1)),R_1)),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_2),B_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),R_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,B_1),B_2))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Q_1),Q_2)))))))).
% 15.63/15.44 all B_2 Q_1 R_1 Q_2 R_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_2),Q_1)),R_1)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_2),Q_2)),R_2)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,R_2),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_2),R_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_2),R_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Q_2),Q_1)))))).
% 15.63/15.44 all K_1 (number_number_of_int(K_1)=K_1).
% 15.63/15.44 zero_zero_int!=one_one_int.
% 15.63/15.44 all R_2 Q_2 A_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_1))-> (A_1=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,R_2),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_1),Q_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_2),A_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),Q_2))))).
% 15.63/15.44 all R_2 Q_2 A_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_1))-> (A_1=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,R_2),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_1),Q_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),R_2))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Q_2),one_one_int))))).
% 15.63/15.44 all B_1 Q_1 R_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),Q_1)),R_1)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_1),B_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Q_1))))).
% 15.63/15.44 all B_1 Q_1 R_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),Q_1)),R_1)),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),R_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,Q_1),zero_zero_int))))).
% 15.63/15.44 all B_2 Q_1 R_1 Q_2 R_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_2),Q_1)),R_1)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_2),Q_2)),R_2)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),R_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_1),B_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_2),B_2))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Q_1),Q_2)))))).
% 15.63/15.44 all B_2 Q_2 R_2 B_1 Q_1 R_1 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_2),Q_2)),R_2)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_1),Q_1)),R_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),Q_1)),R_1)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_1),B_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),R_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_1),B_2))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Q_2),Q_1)))))))).
% 15.63/15.44 all Pa I_2 K (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,I_2),K))-> (hBOOL(hAPP_int_bool(Pa,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,K),one_one_int)))-> ((all I (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,I),K))-> (hBOOL(hAPP_int_bool(Pa,I))->hBOOL(hAPP_int_bool(Pa,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,I),one_one_int))))))->hBOOL(hAPP_int_bool(Pa,I_2))))).
% 15.63/15.44 all Pa I_2 K (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,I_2),K))-> (hBOOL(hAPP_int_bool(Pa,K))-> ((all I (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,I),K))-> (hBOOL(hAPP_int_bool(Pa,I))->hBOOL(hAPP_int_bool(Pa,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,I),one_one_int))))))->hBOOL(hAPP_int_bool(Pa,I_2))))).
% 15.63/15.44 all Pa K I_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),I_2))-> (hBOOL(hAPP_int_bool(Pa,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K),one_one_int)))-> ((all I (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),I))-> (hBOOL(hAPP_int_bool(Pa,I))->hBOOL(hAPP_int_bool(Pa,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,I),one_one_int))))))->hBOOL(hAPP_int_bool(Pa,I_2))))).
% 15.63/15.44 all Pa K I_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),I_2))-> (hBOOL(hAPP_int_bool(Pa,K))-> ((all I (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),I))-> (hBOOL(hAPP_int_bool(Pa,I))->hBOOL(hAPP_int_bool(Pa,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,I),one_one_int))))))->hBOOL(hAPP_int_bool(Pa,I_2))))).
% 15.63/15.44 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))))).
% 15.63/15.44 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),zero_zero_int)).
% 15.63/15.44 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))))).
% 15.63/15.44 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),one_one_int)).
% 15.63/15.44 all P_1 Pa ((all X_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_2))-> (hBOOL(hAPP_int_bool(Pa,X_2))<->hBOOL(hAPP_int_bool(P_1,X_2)))))->collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fconj,hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int)),Pa))=collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fconj,hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int)),P_1))).
% 15.63/15.44 all K Pa D_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))-> ((all X_2 (hBOOL(hAPP_int_bool(Pa,X_2))->hBOOL(hAPP_int_bool(Pa,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_2),D_1)))))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),K))-> (all X_2 (hBOOL(hAPP_int_bool(Pa,X_2))->hBOOL(hAPP_int_bool(Pa,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))))))))).
% 15.63/15.44 all P_1 Pa X_1 ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))-> (hBOOL(Pa)<->hBOOL(P_1)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))&hBOOL(Pa)<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))&hBOOL(P_1))).
% 15.63/15.44 all P_1 Pa X_1 ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))-> (hBOOL(Pa)<->hBOOL(P_1)))-> ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))->hBOOL(Pa))<-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))->hBOOL(P_1)))).
% 15.63/15.44 all K Pa D_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))-> ((all X_2 (hBOOL(hAPP_int_bool(Pa,X_2))->hBOOL(hAPP_int_bool(Pa,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_2),D_1)))))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),K))-> (all X_2 (hBOOL(hAPP_int_bool(Pa,X_2))->hBOOL(hAPP_int_bool(Pa,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),D_1))))))))).
% 15.63/15.44 all I_2 Pa K (hBOOL(hAPP_int_bool(Pa,K))-> ((all I (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),I))-> (hBOOL(hAPP_int_bool(Pa,I))->hBOOL(hAPP_int_bool(Pa,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,I),one_one_int))))))-> ((all I (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,I),K))-> (hBOOL(hAPP_int_bool(Pa,I))->hBOOL(hAPP_int_bool(Pa,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,I),one_one_int))))))->hBOOL(hAPP_int_bool(Pa,I_2))))).
% 15.63/15.44 all Pa P1 D_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))-> ((all X_2 K_2 (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_2),D_1))))))-> ((exists Z_3 all X_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_2),Z_3))-> (hBOOL(hAPP_int_bool(Pa,X_2))<->hBOOL(hAPP_int_bool(P1,X_2)))))-> ((exists X1 hBOOL(hAPP_int_bool(P1,X1)))-> (exists X1 hBOOL(hAPP_int_bool(Pa,X1))))))).
% 15.63/15.44 all Pa P_1 D_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))-> ((all X_2 K_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_2),D_1))))))-> ((exists Z_3 all X_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_3),X_2))-> (hBOOL(hAPP_int_bool(Pa,X_2))<->hBOOL(hAPP_int_bool(P_1,X_2)))))-> ((exists X1 hBOOL(hAPP_int_bool(P_1,X1)))-> (exists X1 hBOOL(hAPP_int_bool(Pa,X1))))))).
% 15.63/15.44 all Y X ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y),X))->hAPP_int_int(hAPP_int_fun_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(hAPP_int_fun_int_int(nat_tsub,X),Y)=zero_zero_int)).
% 15.63/15.44 all N hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_nat_int(semiri1621563631at_int,N))).
% 15.63/15.44 all K_1 (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,K_1)),zero_zero_int))).
% 15.63/15.44 hAPP_nat_int(semiri1621563631at_int,one_one_nat)=one_one_int.
% 15.63/15.44 hAPP_nat_int(semiri1621563631at_int,zero_zero_nat)=zero_zero_int.
% 15.63/15.44 all Na (hAPP_nat_int(semiri1621563631at_int,Na)=zero_zero_int<->Na=zero_zero_nat).
% 15.63/15.44 all M Na (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,M)),hAPP_nat_int(semiri1621563631at_int,Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na))).
% 15.63/15.44 all M Na (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(semiri1621563631at_int,M)),hAPP_nat_int(semiri1621563631at_int,Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),Na))).
% 15.63/15.44 all M_1 N (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(semiri1621563631at_int,M_1)),hAPP_nat_int(semiri1621563631at_int,N))=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N))).
% 15.63/15.44 all M_1 N Z (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)),Z))=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))),Z)).
% 15.63/15.44 all W_1 Z_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,W_1),Z_2))<-> (exists N_1 (Z_2=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,W_1),hAPP_nat_int(semiri1621563631at_int,N_1))))).
% 15.63/15.44 all M_1 N (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_nat_int(semiri1621563631at_int,M_1)),hAPP_nat_int(semiri1621563631at_int,N))=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),N))).
% 15.63/15.44 all M_1 N (hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),N))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_nat_int(semiri1621563631at_int,M_1)),hAPP_nat_int(semiri1621563631at_int,N))).
% 15.63/15.44 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))).
% 15.63/15.44 all X_1 Y_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,X_1)),hAPP_nat_int(semiri1621563631at_int,Y_1)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_1))).
% 15.63/15.44 all X_1 Y_1 (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_1)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_1))).
% 15.63/15.44 all X Y (hAPP_int_int(hAPP_int_fun_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))).
% 15.63/15.44 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))).
% 15.63/15.44 all A (hAPP_f22106695ol_nat(finite_card_nat,A)=hAPP_f957591787ol_nat(finite_card_int,image_nat_int(semiri1621563631at_int,A))).
% 15.63/15.44 all A (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))<->hBOOL(hAPP_f448129468l_bool(finite_finite_int,image_nat_int(semiri1621563631at_int,A)))).
% 15.63/15.44 one_one_int=hAPP_nat_int(semiri1621563631at_int,one_one_nat).
% 15.63/15.44 zero_zero_int=hAPP_nat_int(semiri1621563631at_int,zero_zero_nat).
% 15.63/15.44 all Pa (collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fconj,hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int)),Pa))=image_nat_int(semiri1621563631at_int,collect_nat(cOMBB_int_bool_nat(Pa,semiri1621563631at_int)))).
% 15.63/15.44 all Z hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_nat_int(semiri1621563631at_int,Z))).
% 15.63/15.44 all Pa ((exists X_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_2))&hBOOL(hAPP_int_bool(Pa,X_2))))<-> (exists X_2 hBOOL(hAPP_int_bool(Pa,hAPP_nat_int(semiri1621563631at_int,X_2))))).
% 15.63/15.44 all Pa ((all X_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_2))->hBOOL(hAPP_int_bool(Pa,X_2))))<-> (all X_2 hBOOL(hAPP_int_bool(Pa,hAPP_nat_int(semiri1621563631at_int,X_2))))).
% 15.63/15.44 all Na (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(semiri1621563631at_int,Na)),zero_zero_int))<->Na=zero_zero_nat).
% 15.63/15.44 hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(suc,zero_zero_nat))=one_one_int.
% 15.63/15.44 all W_1 Z_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),Z_2))<-> (exists N_1 (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_1)))))).
% 15.63/15.44 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))).
% 15.63/15.44 all N M_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),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))=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N))).
% 15.63/15.44 all Na (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(semiri1621563631at_int,Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na))).
% 15.63/15.44 all K_1 I_1 J (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,I_1),J))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_1))->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_1)),I_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_nat_int(semiri1621563631at_int,K_1)),J))))).
% 15.63/15.44 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(nat_tsub,X),Y))))).
% 15.63/15.44 all Pa X_1 Y_1 (hBOOL(hAPP_int_bool(Pa,hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,X_1),Y_1))))<-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_1),X_1))->hBOOL(hAPP_int_bool(Pa,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_nat_int(semiri1621563631at_int,X_1)),hAPP_nat_int(semiri1621563631at_int,Y_1)))))& (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_1))->hBOOL(hAPP_int_bool(Pa,zero_zero_int)))).
% 15.63/15.44 all Y X (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y),X))->hAPP_int_int(hAPP_int_fun_int_int(nat_tsub,X),Y)=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X),Y)).
% 15.63/15.44 all K_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),K_1))-> (exists N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))&K_1=hAPP_nat_int(semiri1621563631at_int,N_1)))).
% 15.63/15.44 all M Na (hAPP_nat_int(semiri1621563631at_int,M)=hAPP_nat_int(semiri1621563631at_int,Na)<->M=Na).
% 15.63/15.44 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)))).
% 15.63/15.44 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)))).
% 15.63/15.44 bot_bot_fun_int_bool=image_nat_int(semiri1621563631at_int,bot_bot_fun_nat_bool).
% 15.63/15.44 all A B (A=B<->image_nat_int(semiri1621563631at_int,A)=image_nat_int(semiri1621563631at_int,B)).
% 15.63/15.44 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)))).
% 15.63/15.44 all X_1 Y_1 Pa ((hBOOL(Pa)->hAPP_nat_int(semiri1621563631at_int,X_1)=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(if_nat(Pa),X_1),Y_1)))& (-hBOOL(Pa)->hAPP_nat_int(semiri1621563631at_int,Y_1)=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(if_nat(Pa),X_1),Y_1)))).
% 15.63/15.44 all X_1 Y_1 (hAPP_nat_int(semiri1621563631at_int,X_1)=hAPP_nat_int(semiri1621563631at_int,Y_1)<->X_1=Y_1).
% 15.63/15.44 all K_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),K_1))-> -(all N_1 (K_1!=hAPP_nat_int(semiri1621563631at_int,N_1)))).
% 15.63/15.44 all Z (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Z))-> -(all M_2 (Z!=hAPP_nat_int(semiri1621563631at_int,M_2)))).
% 15.63/15.44 all K_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),K_1))-> (exists N_1 (K_1=hAPP_nat_int(semiri1621563631at_int,N_1)))).
% 15.63/15.44 all Z (-(all M_2 N_1 (Z!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_nat_int(semiri1621563631at_int,M_2)),hAPP_nat_int(semiri1621563631at_int,N_1))))).
% 15.63/15.44 all X Z D (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D))->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,abs_abs_int(hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X),Z))),one_one_int)),D))),Z))).
% 15.63/15.44 all Z_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,abs_abs_int(Z_2)),one_one_int))<->Z_2=zero_zero_int).
% 15.63/15.44 all Z_1 (hBOOL(hAPP_int_bool(nat_neg,Z_1))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_1),zero_zero_int))).
% 15.63/15.44 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))).
% 15.63/15.44 -hBOOL(hAPP_int_bool(nat_neg,one_one_int)).
% 15.63/15.44 -hBOOL(hAPP_int_bool(nat_neg,zero_zero_int)).
% 15.63/15.44 all M_1 N (abs_abs_int(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,M_1),N))=one_one_int->abs_abs_int(M_1)=one_one_int).
% 15.63/15.44 all N (-hBOOL(hAPP_int_bool(nat_neg,hAPP_nat_int(semiri1621563631at_int,N)))).
% 15.63/15.44 all M_1 (abs_abs_int(hAPP_nat_int(semiri1621563631at_int,M_1))=hAPP_nat_int(semiri1621563631at_int,M_1)).
% 15.63/15.44 all V (hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V)))->number_number_of_nat(V)=zero_zero_nat).
% 15.63/15.44 all V_3 V_2 (number_number_of_nat(V_3)=number_number_of_nat(V_2)<-> (hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V_3)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,number_number_of_int(V_2)),zero_zero_int)))& (-hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V_3)))-> (hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V_2)))->number_number_of_int(V_3)=zero_zero_int)& (-hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V_2)))->V_3=V_2))).
% 15.63/15.44 all V_1 K_1 V ((hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V)))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,number_number_of_nat(V)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,number_number_of_nat(V_1)),K_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,number_number_of_nat(V_1)),K_1))& (-hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V)))-> (hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V_1)))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,number_number_of_nat(V)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,number_number_of_nat(V_1)),K_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,number_number_of_nat(V)),K_1))& (-hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V_1)))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,number_number_of_nat(V)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,number_number_of_nat(V_1)),K_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,number_number_of_nat(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V),V_1))),K_1)))).
% 15.63/15.44 all V ((hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V)))->hAPP_nat_int(semiri1621563631at_int,number_number_of_nat(V))=zero_zero_int)& (-hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V)))->hAPP_nat_int(semiri1621563631at_int,number_number_of_nat(V))=number_number_of_int(V))).
% 15.63/15.44 all Z X D (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z),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,abs_abs_int(hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X),Z))),one_one_int)),D))))).
% 15.63/15.44 all K F Na ((all I (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),Na))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_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),one_one_nat))),hAPP_nat_int(F,I)))),one_one_int))))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(F,zero_zero_nat)),K))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),hAPP_nat_int(F,Na)))-> (exists I (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),Na))&hAPP_nat_int(F,I)=K))))).
% 15.63/15.44 all K F Na ((all I (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),Na))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_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),one_one_nat))),hAPP_nat_int(F,I)))),one_one_int))))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(F,zero_zero_nat)),K))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),hAPP_nat_int(F,Na)))-> (exists I (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),Na))&hAPP_nat_int(F,I)=K))))).
% 15.63/15.44 all K F Na M ((all I (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),I))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),Na))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_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),one_one_nat))),hAPP_nat_int(F,I)))),one_one_int))))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(F,M)),K))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),hAPP_nat_int(F,Na)))-> (exists I (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),I))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),Na))&hAPP_nat_int(F,I)=K)))))).
% 15.63/15.44 all N V ((hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V)))->hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,number_number_of_nat(V)),N))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),N))& (-hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V)))->hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,number_number_of_nat(V)),N))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,number_number_of_nat(succ(V))),N))).
% 15.63/15.44 all K_1 (succ(K_1)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K_1),one_one_int)).
% 15.63/15.44 all V ((hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V)))->hAPP_nat_nat(suc,number_number_of_nat(V))=one_one_nat)& (-hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V)))->hAPP_nat_nat(suc,number_number_of_nat(V))=number_number_of_nat(succ(V)))).
% 15.63/15.44 all W ((hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(W)))->number_number_of_nat(bit1(W))=zero_zero_nat)& (-hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(W)))->number_number_of_nat(bit1(W))=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,number_number_of_nat(W)),number_number_of_nat(W))))).
% 15.63/15.44 all V ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V),pls))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),number_number_of_nat(V))=one_one_nat)& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V),pls))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),number_number_of_nat(V))=number_number_of_nat(succ(V)))).
% 15.63/15.44 succ(pls)=bit1(pls).
% 15.63/15.44 all W_1 (hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(bit1(W_1))))<->hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(W_1)))).
% 15.63/15.44 -hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(pls))).
% 15.63/15.44 number_number_of_int(bit1(bit1(pls)))=hAPP_nat_int(semiri1621563631at_int,number_number_of_nat(bit1(bit1(pls)))).
% 15.63/15.44 number_number_of_nat(bit1(pls))=hAPP_nat_nat(suc,zero_zero_nat).
% 15.63/15.44 number_number_of_nat(bit1(bit1(pls)))=hAPP_nat_nat(suc,hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat))).
% 15.63/15.44 all N (hAPP_nat_nat(suc,hAPP_nat_nat(suc,hAPP_nat_nat(suc,N)))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,number_number_of_nat(bit1(bit1(pls)))),N)).
% 15.63/15.44 one_one_nat=number_number_of_nat(bit1(pls)).
% 15.63/15.44 number_number_of_nat(bit1(pls))=one_one_nat.
% 15.63/15.44 one_one_int=number_number_of_int(bit1(pls)).
% 15.63/15.44 zero_zero_int=number_number_of_int(pls).
% 15.63/15.44 all K_1 (bit1(K_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),K_1)),K_1)).
% 15.63/15.44 number_number_of_nat(pls)=zero_zero_nat.
% 15.63/15.44 zero_zero_nat=number_number_of_nat(pls).
% 15.63/15.44 pls=zero_zero_int.
% 15.63/15.44 all K L (bit1(K)=bit1(L)<->K=L).
% 15.63/15.44 all K_1 (bit1(K_1)!=pls).
% 15.63/15.44 all L_1 (pls!=bit1(L_1)).
% 15.63/15.44 all K_1 (hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,K_1),pls)=K_1).
% 15.63/15.44 all K_1 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,pls),K_1)=K_1).
% 15.63/15.44 all K_1 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K_1),pls)=K_1).
% 15.63/15.44 all W (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,pls),W)=pls).
% 15.63/15.44 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),number_number_of_int(bit1(bit1(pls))))).
% 15.63/15.44 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),pls)).
% 15.63/15.44 all K (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),bit1(K)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),K))).
% 15.63/15.44 all K L (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit1(K)),bit1(L)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),L))).
% 15.63/15.44 all K1 K2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit1(K1)),bit1(K2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K1),K2))).
% 15.63/15.44 -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),pls)).
% 15.63/15.44 all K (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(K)),pls))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),pls))).
% 15.63/15.44 all K L (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(K)),bit1(L)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),L))).
% 15.63/15.44 all K1 K2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(K1)),bit1(K2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K1),K2))).
% 15.63/15.44 all K (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit1(K)),pls))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),pls))).
% 15.63/15.44 all K (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),bit1(K)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),K))).
% 15.63/15.44 all P (-hBOOL(hAPP_bool_bool(fNot,P))| -hBOOL(P)).
% 15.63/15.44 all P (hBOOL(P)|hBOOL(hAPP_bool_bool(fNot,P))).
% 15.63/15.44 all Q P (-hBOOL(P)| -hBOOL(Q)|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,P),Q))).
% 15.63/15.44 all P Q (-hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,P),Q))|hBOOL(P)).
% 15.63/15.44 all P Q (-hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,P),Q))|hBOOL(Q)).
% 15.63/15.44 all Q P (-hBOOL(P)|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,P),Q))).
% 15.63/15.44 all P Q (-hBOOL(Q)|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,P),Q))).
% 15.63/15.44 all P Q (-hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,P),Q))|hBOOL(P)|hBOOL(Q)).
% 15.63/15.44 -hBOOL(fFalse).
% 15.63/15.44 all P (is_bool(P)->P=fTrue|P=fFalse).
% 15.63/15.44 all Q P (hBOOL(P)|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,P),Q))).
% 15.63/15.44 all P Q (-hBOOL(Q)|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,P),Q))).
% 15.63/15.44 all P Q (-hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,P),Q))| -hBOOL(P)|hBOOL(Q)).
% 15.63/15.44 all X Y (is_a(X)&is_a(Y)-> -hBOOL(hAPP_a_bool(hAPP_a_fun_a_bool(fe_qual_a,X),Y))|X=Y).
% 15.63/15.44 all X Y (X!=Y|hBOOL(hAPP_a_bool(hAPP_a_fun_a_bool(fe_qual_a,X),Y))).
% 15.63/15.44 all X Y (hAPP_nat_nat(hAPP_nat_fun_nat_nat(if_nat(fTrue),X),Y)=X).
% 15.63/15.44 all X Y (hAPP_nat_nat(hAPP_nat_fun_nat_nat(if_nat(fFalse),X),Y)=Y).
% 15.63/15.44 all P (is_bool(P)->P=fTrue|P=fFalse).
% 15.63/15.44 all P (hAPP_nat_nat(cOMBI_nat,P)=P).
% 15.63/15.44 all X Y (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(fe_qual_int,X),Y))|X=Y).
% 15.63/15.44 all X Y (X!=Y|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(fe_qual_int,X),Y))).
% 15.63/15.44 all X Y (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fe_qual_nat,X),Y))|X=Y).
% 15.63/15.44 all X Y (X!=Y|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fe_qual_nat,X),Y))).
% 15.63/15.44 all X Y (is_pname(X)&is_pname(Y)-> -hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fe_qual_pname,X),Y))|X=Y).
% 15.63/15.44 all X Y (X!=Y|hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fe_qual_pname,X),Y))).
% 15.63/15.44 all P Q (is_bool(P)->hAPP_a_bool(cOMBK_bool_a(P),Q)=P).
% 15.63/15.44 all P Q (is_a(P)->hAPP_pname_a(cOMBK_a_pname(P),Q)=P).
% 15.63/15.44 all P Q R (hAPP_a_bool(hAPP_a_fun_a_bool(cOMBC_a_a_bool(P),Q),R)=hAPP_a_bool(hAPP_a_fun_a_bool(P,R),Q)).
% 15.63/15.44 all P Q (hAPP_nat_int(cOMBK_int_nat(P),Q)=P).
% 15.63/15.44 all P Q (is_bool(P)->hAPP_int_bool(cOMBK_bool_int(P),Q)=P).
% 15.63/15.44 all P Q (is_bool(P)->hAPP_nat_bool(cOMBK_bool_nat(P),Q)=P).
% 15.63/15.44 all X Y (is_fun_a_bool(X)&is_fun_a_bool(Y)-> -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(fe_qual_fun_a_bool,X),Y))|X=Y).
% 15.63/15.44 all X Y (X!=Y|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(fe_qual_fun_a_bool,X),Y))).
% 15.63/15.44 all P Q R (hAPP_int_bool(hAPP_a_fun_int_bool(cOMBC_int_a_bool(P),Q),R)=hAPP_a_bool(hAPP_int_fun_a_bool(P,R),Q)).
% 15.63/15.44 all P Q R (hAPP_a_bool(cOMBB_bool_bool_a(P,Q),R)=hAPP_bool_bool(P,hAPP_a_bool(Q,R))).
% 15.63/15.44 all P Q R (hAPP_a_bool(cOMBS_a_bool_bool(P,Q),R)=hAPP_bool_bool(hAPP_a_fun_bool_bool(P,R),hAPP_a_bool(Q,R))).
% 15.63/15.44 all P Q R (hAPP_pname_bool(hAPP_a93125764e_bool(cOMBC_pname_a_bool(P),Q),R)=hAPP_a_bool(hAPP_p1534023578a_bool(P,R),Q)).
% 15.63/15.44 all X Y (-hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(fe_qual_fun_int_bool,X),Y))|X=Y).
% 15.63/15.44 all X Y (X!=Y|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(fe_qual_fun_int_bool,X),Y))).
% 15.63/15.44 all X Y (-hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(fe_qual_fun_nat_bool,X),Y))|X=Y).
% 15.63/15.44 all X Y (X!=Y|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(fe_qual_fun_nat_bool,X),Y))).
% 15.63/15.44 all X Y (is_fun_pname_bool(X)&is_fun_pname_bool(Y)-> -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(fe_qual533582459e_bool,X),Y))|X=Y).
% 15.63/15.44 all X Y (X!=Y|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(fe_qual533582459e_bool,X),Y))).
% 15.63/15.44 all P Q R (hAPP_nat_bool(cOMBB_int_bool_nat(P,Q),R)=hAPP_int_bool(P,hAPP_nat_int(Q,R))).
% 15.63/15.44 all P Q R (hAPP_int_bool(hAPP_i1948725293t_bool(cOMBC_int_int_bool(P),Q),R)=hAPP_int_bool(hAPP_i1948725293t_bool(P,R),Q)).
% 15.63/15.44 all P Q R (hAPP_nat_bool(hAPP_i418383825t_bool(cOMBC_nat_int_bool(P),Q),R)=hAPP_int_bool(hAPP_n1082236369t_bool(P,R),Q)).
% 15.63/15.44 all P Q R (hAPP_nat_bool(hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(P),Q),R)=hAPP_nat_bool(hAPP_n1699378549t_bool(P,R),Q)).
% 15.63/15.44 all P Q R (hAPP_int_bool(cOMBB_bool_bool_int(P,Q),R)=hAPP_bool_bool(P,hAPP_int_bool(Q,R))).
% 15.63/15.44 all P Q R (hAPP_nat_bool(cOMBB_bool_bool_nat(P,Q),R)=hAPP_bool_bool(P,hAPP_nat_bool(Q,R))).
% 15.63/15.44 all P Q R (hAPP_int_bool(cOMBS_int_bool_bool(P,Q),R)=hAPP_bool_bool(hAPP_i68813070l_bool(P,R),hAPP_int_bool(Q,R))).
% 15.63/15.44 all P Q R (hAPP_nat_bool(cOMBS_nat_bool_bool(P,Q),R)=hAPP_bool_bool(hAPP_n1006566506l_bool(P,R),hAPP_nat_bool(Q,R))).
% 15.63/15.44 all P Q R (hAPP_pname_bool(cOMBB_647938656_pname(P,Q),R)=hAPP_bool_bool(P,hAPP_pname_bool(Q,R))).
% 15.63/15.44 all P Q R (hAPP_pname_bool(cOMBS_568398431l_bool(P,Q),R)=hAPP_bool_bool(hAPP_p393069232l_bool(P,R),hAPP_pname_bool(Q,R))).
% 15.63/15.44 all P Q R (hAPP_pname_bool(hAPP_p61793385e_bool(cOMBC_1149511130e_bool(P),Q),R)=hAPP_pname_bool(hAPP_p61793385e_bool(P,R),Q)).
% 15.63/15.44 all P Q R (hAPP_int_fun_a_bool(cOMBB_375279840ol_int(P,Q),R)=hAPP_a_fun_a_bool(P,hAPP_int_a(Q,R))).
% 15.63/15.44 all P Q R (hAPP_a_bool(cOMBB_1273333599bool_a(P,Q),R)=hAPP_fun_a_bool_bool(P,hAPP_a_fun_a_bool(Q,R))).
% 15.63/15.44 all P Q R (hAPP_a_bool(hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(P),Q),R)=hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(P,R),Q)).
% 15.63/15.44 all P Q R (hAPP_p1534023578a_bool(cOMBB_1897541054_pname(P,Q),R)=hAPP_a_fun_a_bool(P,hAPP_pname_a(Q,R))).
% 15.63/15.44 all P Q R (hAPP_int_bool(hAPP_f1812805200t_bool(cOMBC_1753430397l_bool(P),Q),R)=hAPP_fun_a_bool_bool(hAPP_i888906320l_bool(P,R),Q)).
% 15.63/15.44 all P Q R (hAPP_nat_bool(hAPP_f282463732t_bool(cOMBC_1928494297l_bool(P),Q),R)=hAPP_fun_a_bool_bool(hAPP_n1414589940l_bool(P,R),Q)).
% 15.63/15.45 all P Q R (hAPP_a_fun_bool_bool(cOMBB_1972296269bool_a(P,Q),R)=hAPP_b589554111l_bool(P,hAPP_a_bool(Q,R))).
% 15.63/15.45 all P Q R (hAPP_fun_a_bool_bool(cOMBS_1035972772l_bool(P,Q),R)=hAPP_bool_bool(hAPP_f198738859l_bool(P,R),hAPP_fun_a_bool_bool(Q,R))).
% 15.63/15.45 all P Q R (hAPP_n1082236369t_bool(cOMBB_1628441366ol_nat(P,Q),R)=hAPP_i1948725293t_bool(P,hAPP_nat_int(Q,R))).
% 15.63/15.45 all P Q R (hAPP_n1699378549t_bool(cOMBB_800536526ol_nat(P,Q),R)=hAPP_n1699378549t_bool(P,hAPP_nat_nat(Q,R))).
% 15.63/15.45 all P Q R (hAPP_a_fun_a_bool(hAPP_f1038053735a_bool(cOMBC_394484100a_bool(P),Q),R)=hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(P,R),Q)).
% 15.63/15.45 all P Q R (hAPP_int_bool(cOMBB_1418110531ol_int(P,Q),R)=hAPP_f448129468l_bool(P,hAPP_i1948725293t_bool(Q,R))).
% 15.63/15.45 all P Q R (hAPP_nat_bool(cOMBB_955900739ol_nat(P,Q),R)=hAPP_f54304608l_bool(P,hAPP_n1699378549t_bool(Q,R))).
% 15.63/15.45 all P Q R (hAPP_int_bool(hAPP_f1805168059t_bool(cOMBC_94739984l_bool(P),Q),R)=hAPP_f448129468l_bool(hAPP_i2112223885l_bool(P,R),Q)).
% 15.63/15.45 all P Q R (hAPP_int_bool(hAPP_f183368031t_bool(cOMBC_1848398772l_bool(P),Q),R)=hAPP_f54304608l_bool(hAPP_i1718399025l_bool(P,R),Q)).
% 15.63/15.45 all P Q R (hAPP_nat_bool(hAPP_f274826591t_bool(cOMBC_620423604l_bool(P),Q),R)=hAPP_f448129468l_bool(hAPP_n609083369l_bool(P,R),Q)).
% 15.63/15.45 all P Q R (hAPP_nat_bool(hAPP_f800510211t_bool(cOMBC_226598744l_bool(P),Q),R)=hAPP_f54304608l_bool(hAPP_n215258509l_bool(P,R),Q)).
% 15.63/15.45 all P Q R (hAPP_i68813070l_bool(cOMBB_1652995168ol_int(P,Q),R)=hAPP_b589554111l_bool(P,hAPP_int_bool(Q,R))).
% 15.63/15.45 all P Q R (hAPP_n1006566506l_bool(cOMBB_1015721476ol_nat(P,Q),R)=hAPP_b589554111l_bool(P,hAPP_nat_bool(Q,R))).
% 15.63/15.45 all P Q R (hAPP_f448129468l_bool(cOMBS_1912792529l_bool(P,Q),R)=hAPP_bool_bool(hAPP_f1721100032l_bool(P,R),hAPP_f448129468l_bool(Q,R))).
% 15.63/15.45 all P Q R (hAPP_f54304608l_bool(cOMBS_1187019125l_bool(P,Q),R)=hAPP_bool_bool(hAPP_f1748468828l_bool(P,R),hAPP_f54304608l_bool(Q,R))).
% 15.63/15.45 all P Q R (hAPP_int_bool(hAPP_f449020825t_bool(cOMBC_316919022l_bool(P),Q),R)=hAPP_f1664156314l_bool(hAPP_i1587699435l_bool(P,R),Q)).
% 15.63/15.45 all P Q R (hAPP_nat_bool(hAPP_f1066163005t_bool(cOMBC_386238098l_bool(P),Q),R)=hAPP_f1664156314l_bool(hAPP_n850744903l_bool(P,R),Q)).
% 15.63/15.45 all P Q R (hAPP_p393069232l_bool(cOMBB_675860798_pname(P,Q),R)=hAPP_b589554111l_bool(P,hAPP_pname_bool(Q,R))).
% 15.63/15.45 all P Q R (hAPP_f1664156314l_bool(cOMBS_350070575l_bool(P,Q),R)=hAPP_bool_bool(hAPP_f1476298914l_bool(P,R),hAPP_f1664156314l_bool(Q,R))).
% 15.63/15.45 all P Q R (hAPP_pname_bool(hAPP_f759274231e_bool(cOMBC_1058051404l_bool(P),Q),R)=hAPP_f1664156314l_bool(hAPP_p338031245l_bool(P,R),Q)).
% 15.63/15.45 all P Q R (hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(P),Q),R)=hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(P,R),Q)).
% 15.63/15.45 all P Q R (hAPP_f198738859l_bool(cOMBB_338059395a_bool(P,Q),R)=hAPP_b589554111l_bool(P,hAPP_fun_a_bool_bool(Q,R))).
% 15.63/15.45 all P Q R (hAPP_n215258509l_bool(cOMBB_1146692694ol_nat(P,Q),R)=hAPP_n215258509l_bool(P,hAPP_nat_nat(Q,R))).
% 15.63/15.45 all P Q R (hAPP_i1948725293t_bool(hAPP_f1048215610t_bool(cOMBC_1683390479t_bool(P),Q),R)=hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(P,R),Q)).
% 15.63/15.45 all P Q R (hAPP_n1699378549t_bool(hAPP_f1570313510t_bool(cOMBC_178881787t_bool(P),Q),R)=hAPP_f800510211t_bool(hAPP_n1512601776t_bool(P,R),Q)).
% 15.63/15.45 all P Q R (hAPP_f448129468l_bool(hAPP_f284875647l_bool(cOMBC_605892544l_bool(P),Q),R)=hAPP_f448129468l_bool(hAPP_f284875647l_bool(P,R),Q)).
% 15.63/15.45 all P Q R (hAPP_f54304608l_bool(hAPP_f103356543l_bool(cOMBC_1693257480l_bool(P),Q),R)=hAPP_f54304608l_bool(hAPP_f103356543l_bool(P,R),Q)).
% 15.63/15.45 all P Q R (hAPP_f1721100032l_bool(cOMBB_1974511970t_bool(P,Q),R)=hAPP_b589554111l_bool(P,hAPP_f448129468l_bool(Q,R))).
% 15.63/15.45 all P Q R (hAPP_f1748468828l_bool(cOMBB_444170502t_bool(P,Q),R)=hAPP_b589554111l_bool(P,hAPP_f54304608l_bool(Q,R))).
% 15.63/15.45 all P Q R (hAPP_f1476298914l_bool(cOMBB_2095475776e_bool(P,Q),R)=hAPP_b589554111l_bool(P,hAPP_f1664156314l_bool(Q,R))).
% 15.63/15.45 all P Q R (hAPP_f1664156314l_bool(hAPP_f434788991l_bool(cOMBC_1284144636l_bool(P),Q),R)=hAPP_f1664156314l_bool(hAPP_f434788991l_bool(P,R),Q)).
% 15.63/15.45 all P Q R (hAPP_i888906320l_bool(cOMBB_313729068ol_int(P,Q),R)=hAPP_f1631501043l_bool(P,hAPP_int_fun_a_bool(Q,R))).
% 15.63/15.45 all P Q R (hAPP_n1414589940l_bool(cOMBB_1823939024ol_nat(P,Q),R)=hAPP_f1631501043l_bool(P,hAPP_nat_fun_a_bool(Q,R))).
% 15.63/15.45 all P Q R (hAPP_i2112223885l_bool(cOMBB_1761098400ol_int(P,Q),R)=hAPP_f284875647l_bool(P,hAPP_i1948725293t_bool(Q,R))).
% 15.63/15.45 all P Q R (hAPP_n609083369l_bool(cOMBB_1123824708ol_nat(P,Q),R)=hAPP_f284875647l_bool(P,hAPP_n1082236369t_bool(Q,R))).
% 15.63/15.45 all P Q R (hAPP_i1718399025l_bool(cOMBB_516767136ol_int(P,Q),R)=hAPP_f103356543l_bool(P,hAPP_i418383825t_bool(Q,R))).
% 15.63/15.45 all P Q R (hAPP_n215258509l_bool(cOMBB_2026977092ol_nat(P,Q),R)=hAPP_f103356543l_bool(P,hAPP_n1699378549t_bool(Q,R))).
% 15.63/15.45 all P Q R (hAPP_i1587699435l_bool(cOMBB_607112096ol_int(P,Q),R)=hAPP_f434788991l_bool(P,hAPP_i7355787e_bool(Q,R))).
% 15.63/15.45 all P Q R (hAPP_n850744903l_bool(cOMBB_2117322052ol_nat(P,Q),R)=hAPP_f434788991l_bool(P,hAPP_n1025906991e_bool(Q,R))).
% 15.63/15.45 all P Q R (hAPP_f621171935l_bool(hAPP_f1434722111l_bool(cOMBC_331553030l_bool(P),Q),R)=hAPP_f621171935l_bool(hAPP_f1434722111l_bool(P,R),Q)).
% 15.63/15.45 all P Q R (hAPP_f215623910l_bool(hAPP_f317860125l_bool(cOMBC_348868698l_bool(P),Q),R)=hAPP_f215623910l_bool(hAPP_f317860125l_bool(P,R),Q)).
% 15.63/15.45 all P Q R (hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(cOMBC_595898202l_bool(P),Q),R)=hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(P,R),Q)).
% 15.63/15.45 all P Q R (hAPP_f1935102916l_bool(hAPP_f510955609l_bool(cOMBC_7971162l_bool(P),Q),R)=hAPP_f1935102916l_bool(hAPP_f510955609l_bool(P,R),Q)).
% 15.63/15.45 hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,u)).
% 15.63/15.45 hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),image_pname_a(mgt_call,u))).
% 15.63/15.45 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,na)),hAPP_fun_a_bool_nat(finite_card_a,image_pname_a(mgt_call,u)))).
% 15.63/15.45 hAPP_fun_a_bool_nat(finite_card_a,g)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_fun_a_bool_nat(finite_card_a,image_pname_a(mgt_call,u))),hAPP_nat_nat(suc,na)).
% 15.63/15.45 hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)).
% 15.63/15.45 -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(mgt_call,pn)),g)).
% 15.63/15.45 -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,hAPP_pname_a(mgt_call,pn)),g)),image_pname_a(mgt_call,u))).
% 15.63/15.45 end_of_list.
% 15.63/15.45
% 15.63/15.45 -------> usable clausifies to:
% 15.63/15.45
% 15.63/15.45 list(usable).
% 15.63/15.45 0 [] A=A.
% 15.63/15.45 0 [] -is_fun_a_bool(B_2_1)|is_fun_a_bool(cOMBB_bool_bool_a(B_1_1,B_2_1)).
% 15.63/15.45 0 [] -is_fun_pname_bool(B_2_1)|is_fun_pname_bool(cOMBB_647938656_pname(B_1_1,B_2_1)).
% 15.63/15.45 0 [] -is_fun949378684l_bool(B_1_1)|is_fun_a_bool(cOMBB_1273333599bool_a(B_1_1,B_2_1)).
% 15.63/15.45 0 [] -is_bool(B_1_1)|is_fun_a_bool(cOMBK_bool_a(B_1_1)).
% 15.63/15.45 0 [] -is_fun_a_bool(B_2_1)|is_fun_a_bool(cOMBS_a_bool_bool(B_1_1,B_2_1)).
% 15.63/15.45 0 [] -is_fun_pname_bool(B_2_1)|is_fun_pname_bool(cOMBS_568398431l_bool(B_1_1,B_2_1)).
% 15.63/15.45 0 [] -is_fun949378684l_bool(B_2_1)|is_fun949378684l_bool(cOMBS_1035972772l_bool(B_1_1,B_2_1)).
% 15.63/15.45 0 [] -is_fun1661590463l_bool(B_2_1)|is_fun1661590463l_bool(cOMBS_350070575l_bool(B_1_1,B_2_1)).
% 15.63/15.45 0 [] is_fun949378684l_bool(finite_finite_a).
% 15.63/15.45 0 [] is_fun1661590463l_bool(finite_finite_pname).
% 15.63/15.45 0 [] is_bool(finite_folding_one_a(B_1_1,B_2_1)).
% 15.63/15.45 0 [] is_bool(finite1282449217_pname(B_1_1,B_2_1)).
% 15.63/15.45 0 [] is_bool(finite1626084323ne_int(B_1_1,B_2_1)).
% 15.63/15.45 0 [] is_bool(finite988810631ne_nat(B_1_1,B_2_1)).
% 15.63/15.45 0 [] is_bool(finite1819937229idem_a(B_1_1,B_2_1)).
% 15.63/15.45 0 [] is_bool(finite89670078_pname(B_1_1,B_2_1)).
% 15.63/15.45 0 [] is_bool(finite1432773856em_int(B_1_1,B_2_1)).
% 15.63/15.45 0 [] is_bool(finite795500164em_nat(B_1_1,B_2_1)).
% 15.63/15.45 0 [] is_a(undefined_a(x_a)).
% 15.63/15.45 0 [] is_pname(undefined_pname(pname)).
% 15.63/15.45 0 [] is_fun_a_bool(undefined_fun_a_bool(fun(x_a,bool))).
% 15.63/15.45 0 [] is_fun_pname_bool(undefi17486888e_bool(fun(pname,bool))).
% 15.63/15.45 0 [] is_fun949378684l_bool(undefi1699038445l_bool(fun(fun(x_a,bool),bool))).
% 15.63/15.45 0 [] is_fun1661590463l_bool(undefi64961550l_bool(fun(fun(pname,bool),bool))).
% 15.63/15.45 0 [] is_bool(bot_bot_bool).
% 15.63/15.45 0 [] is_fun_a_bool(bot_bot_fun_a_bool).
% 15.63/15.45 0 [] is_fun_pname_bool(bot_bo844097828e_bool).
% 15.63/15.45 0 [] -is_fun_a_bool(B_1_1)|is_fun_a_bool(collect_a(B_1_1)).
% 15.63/15.45 0 [] -is_fun_pname_bool(B_1_1)|is_fun_pname_bool(collect_pname(B_1_1)).
% 15.63/15.45 0 [] -is_fun949378684l_bool(B_1_1)|is_fun949378684l_bool(collect_fun_a_bool(B_1_1)).
% 15.63/15.45 0 [] -is_fun1661590463l_bool(B_1_1)|is_fun1661590463l_bool(collec1974731493e_bool(B_1_1)).
% 15.63/15.45 0 [] -is_fun_a_bool(B_2_1)|is_fun_a_bool(image_a_a(B_1_1,B_2_1)).
% 15.63/15.45 0 [] -is_fun_a_bool(B_2_1)|is_fun_pname_bool(image_a_pname(B_1_1,B_2_1)).
% 15.63/15.45 0 [] -is_fun_a_bool(B_2_1)|is_fun949378684l_bool(image_a_fun_a_bool(B_1_1,B_2_1)).
% 15.63/15.45 0 [] -is_fun_a_bool(B_2_1)|is_fun1661590463l_bool(image_819518260e_bool(B_1_1,B_2_1)).
% 15.63/15.45 0 [] -is_fun_pname_bool(B_2_1)|is_fun_a_bool(image_pname_a(B_1_1,B_2_1)).
% 15.63/15.45 0 [] -is_fun_pname_bool(B_2_1)|is_fun_pname_bool(image_pname_pname(B_1_1,B_2_1)).
% 15.63/15.45 0 [] -is_fun_pname_bool(B_2_1)|is_fun949378684l_bool(image_112932426a_bool(B_1_1,B_2_1)).
% 15.63/15.45 0 [] -is_fun_pname_bool(B_2_1)|is_fun1661590463l_bool(image_47868345e_bool(B_1_1,B_2_1)).
% 15.63/15.45 0 [] is_fun_a_bool(image_int_a(B_1_1,B_2_1)).
% 15.63/15.45 0 [] is_fun_pname_bool(image_int_pname(B_1_1,B_2_1)).
% 15.63/15.45 0 [] is_fun949378684l_bool(image_int_fun_a_bool(B_1_1,B_2_1)).
% 15.63/15.45 0 [] is_fun1661590463l_bool(image_637364955e_bool(B_1_1,B_2_1)).
% 15.63/15.45 0 [] is_fun_a_bool(image_nat_a(B_1_1,B_2_1)).
% 15.63/15.45 0 [] is_fun_pname_bool(image_nat_pname(B_1_1,B_2_1)).
% 15.63/15.45 0 [] is_fun949378684l_bool(image_nat_fun_a_bool(B_1_1,B_2_1)).
% 15.63/15.45 0 [] is_fun1661590463l_bool(image_1655916159e_bool(B_1_1,B_2_1)).
% 15.63/15.45 0 [] -is_fun949378684l_bool(B_2_1)|is_fun_a_bool(image_fun_a_bool_a(B_1_1,B_2_1)).
% 15.63/15.45 0 [] -is_fun949378684l_bool(B_2_1)|is_fun_pname_bool(image_1854862208_pname(B_1_1,B_2_1)).
% 15.63/15.45 0 [] -is_fun1661590463l_bool(B_2_1)|is_fun_a_bool(image_876012084bool_a(B_1_1,B_2_1)).
% 15.63/15.45 0 [] -is_fun1661590463l_bool(B_2_1)|is_fun_pname_bool(image_1283814551_pname(B_1_1,B_2_1)).
% 15.63/15.45 0 [] is_fun_a_bool(image_fun_int_bool_a(B_1_1,B_2_1)).
% 15.63/15.45 0 [] is_fun_pname_bool(image_62782965_pname(B_1_1,B_2_1)).
% 15.63/15.45 0 [] is_fun_a_bool(image_fun_nat_bool_a(B_1_1,B_2_1)).
% 15.63/15.45 0 [] is_fun_pname_bool(image_1921560913_pname(B_1_1,B_2_1)).
% 15.63/15.45 0 [] is_bool(fFalse).
% 15.63/15.45 0 [] is_bool(fTrue).
% 15.63/15.45 0 [] -is_a(B_2_1)|is_a(hAPP_a_a(B_1_1,B_2_1)).
% 15.63/15.45 0 [] -is_fun_a_bool(B_1_1)| -is_a(B_2_1)|is_bool(hAPP_a_bool(B_1_1,B_2_1)).
% 15.63/15.45 0 [] -is_a(B_2_1)|is_fun_a_bool(hAPP_a_fun_a_bool(B_1_1,B_2_1)).
% 15.63/15.45 0 [] -is_a(B_2_1)|is_fun_pname_bool(hAPP_a93125764e_bool(B_1_1,B_2_1)).
% 15.63/15.45 0 [] -is_a(B_2_1)|is_fun949378684l_bool(hAPP_a85458249l_bool(B_1_1,B_2_1)).
% 15.63/15.45 0 [] -is_pname(B_2_1)|is_a(hAPP_pname_a(B_1_1,B_2_1)).
% 15.63/15.45 0 [] -is_pname(B_2_1)|is_pname(hAPP_pname_pname(B_1_1,B_2_1)).
% 15.63/15.45 0 [] -is_fun_pname_bool(B_1_1)| -is_pname(B_2_1)|is_bool(hAPP_pname_bool(B_1_1,B_2_1)).
% 15.63/15.45 0 [] -is_pname(B_2_1)|is_fun_a_bool(hAPP_p1534023578a_bool(B_1_1,B_2_1)).
% 15.63/15.45 0 [] -is_pname(B_2_1)|is_fun_pname_bool(hAPP_p61793385e_bool(B_1_1,B_2_1)).
% 15.63/15.45 0 [] -is_pname(B_2_1)|is_fun1661590463l_bool(hAPP_p338031245l_bool(B_1_1,B_2_1)).
% 15.63/15.45 0 [] -is_bool(B_2_1)|is_bool(hAPP_bool_bool(B_1_1,B_2_1)).
% 15.63/15.45 0 [] is_a(hAPP_int_a(B_1_1,B_2_1)).
% 15.63/15.45 0 [] is_bool(hAPP_int_bool(B_1_1,B_2_1)).
% 15.63/15.45 0 [] is_fun_a_bool(hAPP_int_fun_a_bool(B_1_1,B_2_1)).
% 15.63/15.45 0 [] is_fun_pname_bool(hAPP_i7355787e_bool(B_1_1,B_2_1)).
% 15.63/15.45 0 [] is_fun949378684l_bool(hAPP_i888906320l_bool(B_1_1,B_2_1)).
% 15.63/15.45 0 [] is_fun1661590463l_bool(hAPP_i1587699435l_bool(B_1_1,B_2_1)).
% 15.63/15.45 0 [] is_bool(hAPP_nat_bool(B_1_1,B_2_1)).
% 15.63/15.45 0 [] is_fun_a_bool(hAPP_nat_fun_a_bool(B_1_1,B_2_1)).
% 15.63/15.45 0 [] is_fun_pname_bool(hAPP_n1025906991e_bool(B_1_1,B_2_1)).
% 15.63/15.45 0 [] is_fun949378684l_bool(hAPP_n1414589940l_bool(B_1_1,B_2_1)).
% 15.63/15.45 0 [] is_fun1661590463l_bool(hAPP_n850744903l_bool(B_1_1,B_2_1)).
% 15.63/15.45 0 [] -is_fun_a_bool(B_2_1)|is_a(hAPP_fun_a_bool_a(B_1_1,B_2_1)).
% 15.63/15.45 0 [] -is_fun949378684l_bool(B_1_1)| -is_fun_a_bool(B_2_1)|is_bool(hAPP_fun_a_bool_bool(B_1_1,B_2_1)).
% 15.63/15.45 0 [] -is_fun_a_bool(B_2_1)|is_fun_a_bool(hAPP_f2050579477a_bool(B_1_1,B_2_1)).
% 15.63/15.45 0 [] -is_fun_a_bool(B_2_1)|is_fun949378684l_bool(hAPP_f1631501043l_bool(B_1_1,B_2_1)).
% 15.63/15.45 0 [] -is_fun_pname_bool(B_2_1)|is_pname(hAPP_f1297739591_pname(B_1_1,B_2_1)).
% 15.63/15.45 0 [] -is_fun1661590463l_bool(B_1_1)| -is_fun_pname_bool(B_2_1)|is_bool(hAPP_f1664156314l_bool(B_1_1,B_2_1)).
% 15.63/15.45 0 [] -is_fun_pname_bool(B_2_1)|is_fun_pname_bool(hAPP_f759274231e_bool(B_1_1,B_2_1)).
% 15.63/15.45 0 [] -is_fun_pname_bool(B_2_1)|is_fun1661590463l_bool(hAPP_f434788991l_bool(B_1_1,B_2_1)).
% 15.63/15.45 0 [] is_bool(hAPP_f448129468l_bool(B_1_1,B_2_1)).
% 15.63/15.45 0 [] is_bool(hAPP_f54304608l_bool(B_1_1,B_2_1)).
% 15.63/15.45 0 [] -is_fun949378684l_bool(B_2_1)|is_bool(hAPP_f621171935l_bool(B_1_1,B_2_1)).
% 15.63/15.45 0 [] -is_fun949378684l_bool(B_2_1)|is_fun949378684l_bool(hAPP_f2117159681l_bool(B_1_1,B_2_1)).
% 15.63/15.45 0 [] -is_fun1661590463l_bool(B_2_1)|is_bool(hAPP_f1935102916l_bool(B_1_1,B_2_1)).
% 15.63/15.45 0 [] -is_fun1661590463l_bool(B_2_1)|is_fun1661590463l_bool(hAPP_f559147733l_bool(B_1_1,B_2_1)).
% 15.63/15.45 0 [] is_bool(hAPP_f215623910l_bool(B_1_1,B_2_1)).
% 15.63/15.45 0 [] is_bool(hAPP_f1637334154l_bool(B_1_1,B_2_1)).
% 15.63/15.45 0 [] is_bool(hAPP_f292226953l_bool(B_1_1,B_2_1)).
% 15.63/15.45 0 [] is_bool(hAPP_f389811538l_bool(B_1_1,B_2_1)).
% 15.63/15.45 0 [] is_bool(hAPP_f1593524852l_bool(B_1_1,B_2_1)).
% 15.63/15.45 0 [] is_bool(hAPP_f937997336l_bool(B_1_1,B_2_1)).
% 15.63/15.45 0 [] is_fun_a_bool(g).
% 15.63/15.45 0 [] -is_fun_a_bool(B_1_1)|is_fun949378684l_bool(p(B_1_1)).
% 15.63/15.45 0 [] is_fun_pname_bool(u).
% 15.63/15.45 0 [] is_a(mgt(B_1_1)).
% 15.63/15.45 0 [] is_pname(pn).
% 15.63/15.45 0 [] is_bool(wt(B_1_1)).
% 15.63/15.45 0 [] -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,Ts),G))|hBOOL(hAPP_fun_a_bool_bool(p(G),Ts)).
% 15.63/15.45 0 [] -hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A))|hBOOL(hAPP_f1593524852l_bool(finite2095298929l_bool,collec1409689523l_bool(hAPP_f317860125l_bool(cOMBC_348868698l_bool(ord_le1848167016l_bool),A)))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A))|hBOOL(hAPP_f937997336l_bool(finite1701474069l_bool,collec1015864663l_bool(hAPP_f1772781669l_bool(cOMBC_595898202l_bool(ord_le1454342156l_bool),A)))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A))|hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,collec1613912337l_bool(hAPP_f510955609l_bool(cOMBC_7971162l_bool(ord_le675606854l_bool),A)))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A))|hBOOL(hAPP_f292226953l_bool(finite1381704300l_bool,collec707592106l_bool(hAPP_f1434722111l_bool(cOMBC_331553030l_bool(ord_le1375614389l_bool),A)))).
% 15.63/15.45 0 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(ord_le1311769555a_bool),A)))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(hAPP_f434788991l_bool(cOMBC_1284144636l_bool(ord_le313189616e_bool),A)))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))|hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(hAPP_f103356543l_bool(cOMBC_1693257480l_bool(ord_le1568362934t_bool),A)))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))|hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,collect_fun_int_bool(hAPP_f284875647l_bool(cOMBC_605892544l_bool(ord_le951220754t_bool),A)))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1))|hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,image_1512837979t_bool(H,F_1))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1))|hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_2129980159t_bool(H,F_1))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_47868345e_bool(H,F_1))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_112932426a_bool(H,F_1))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,F_1))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_nat_a(H,F_1))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,F_1))|hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,image_1556378401t_bool(H,F_1))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,F_1))|hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_26036933t_bool(H,F_1))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,F_1))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_1655916159e_bool(H,F_1))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,F_1))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_nat_fun_a_bool(H,F_1))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,F_1))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_int_a(H,F_1))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,F_1))|hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,image_275383677t_bool(H,F_1))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,F_1))|hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_892525857t_bool(H,F_1))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,F_1))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_637364955e_bool(H,F_1))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,F_1))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_int_fun_a_bool(H,F_1))).
% 15.63/15.45 0 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,F_1))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_a_pname(H,F_1))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,F_1))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_62782965_pname(H,F_1))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,F_1))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1921560913_pname(H,F_1))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,F_1))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1283814551_pname(H,F_1))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,F_1))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1854862208_pname(H,F_1))).
% 15.63/15.45 0 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,F_1))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_a_nat(H,F_1))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,F_1))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_1431733819ol_nat(H,F_1))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,F_1))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_496248727ol_nat(H,F_1))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,F_1))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_1551609309ol_nat(H,F_1))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,F_1))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_fun_a_bool_nat(H,F_1))).
% 15.63/15.45 0 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,F_1))|hBOOL(hAPP_f448129468l_bool(finite_finite_int,image_a_int(H,F_1))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,F_1))|hBOOL(hAPP_f448129468l_bool(finite_finite_int,image_2069007511ol_int(H,F_1))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,F_1))|hBOOL(hAPP_f448129468l_bool(finite_finite_int,image_1133522419ol_int(H,F_1))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,F_1))|hBOOL(hAPP_f448129468l_bool(finite_finite_int,image_41399353ol_int(H,F_1))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,F_1))|hBOOL(hAPP_f448129468l_bool(finite_finite_int,image_fun_a_bool_int(H,F_1))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_pname_a(H,F_1))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,F_1))|hBOOL(hAPP_f448129468l_bool(finite_finite_int,image_nat_int(H,F_1))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A))|hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,hAPP_f1948010709l_bool(hAPP_f587666462l_bool(insert_fun_int_bool,A_2),A))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A))|hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,hAPP_f1246832597l_bool(hAPP_f633452666l_bool(insert_fun_nat_bool,A_2),A))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,A_2),A))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,hAPP_f2117159681l_bool(hAPP_f1531278575l_bool(insert_fun_a_bool,A_2),A))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A_2),A))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),A))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))|hBOOL(hAPP_f448129468l_bool(finite_finite_int,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),A))).
% 15.63/15.45 0 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),A))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f921600141ol_nat(finite_card_pname,image_pname_pname(F,A))),hAPP_f921600141ol_nat(finite_card_pname,A))).
% 15.63/15.45 0 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_fun_a_bool_nat(finite_card_a,image_a_a(F,A))),hAPP_fun_a_bool_nat(finite_card_a,A))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_fun_a_bool_nat(finite_card_a,image_fun_int_bool_a(F,A))),hAPP_f521865025ol_nat(finite1876863882t_bool,A))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_fun_a_bool_nat(finite_card_a,image_fun_nat_bool_a(F,A))),hAPP_f696928925ol_nat(finite346522414t_bool,A))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_fun_a_bool_nat(finite_card_a,image_876012084bool_a(F,A))),hAPP_f55526627ol_nat(finite1340463720e_bool,A))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_fun_a_bool_nat(finite_card_a,image_fun_a_bool_a(F,A))),hAPP_f2009550088ol_nat(finite1306199131a_bool,A))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f22106695ol_nat(finite_card_nat,image_pname_nat(F,A))),hAPP_f921600141ol_nat(finite_card_pname,A))).
% 15.63/15.45 0 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f22106695ol_nat(finite_card_nat,image_a_nat(F,A))),hAPP_fun_a_bool_nat(finite_card_a,A))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f22106695ol_nat(finite_card_nat,image_1431733819ol_nat(F,A))),hAPP_f521865025ol_nat(finite1876863882t_bool,A))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f22106695ol_nat(finite_card_nat,image_496248727ol_nat(F,A))),hAPP_f696928925ol_nat(finite346522414t_bool,A))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f22106695ol_nat(finite_card_nat,image_1551609309ol_nat(F,A))),hAPP_f55526627ol_nat(finite1340463720e_bool,A))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f22106695ol_nat(finite_card_nat,image_fun_a_bool_nat(F,A))),hAPP_f2009550088ol_nat(finite1306199131a_bool,A))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f957591787ol_nat(finite_card_int,image_pname_int(F,A))),hAPP_f921600141ol_nat(finite_card_pname,A))).
% 15.63/15.45 0 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f957591787ol_nat(finite_card_int,image_a_int(F,A))),hAPP_fun_a_bool_nat(finite_card_a,A))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f957591787ol_nat(finite_card_int,image_2069007511ol_int(F,A))),hAPP_f521865025ol_nat(finite1876863882t_bool,A))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f957591787ol_nat(finite_card_int,image_1133522419ol_int(F,A))),hAPP_f696928925ol_nat(finite346522414t_bool,A))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f957591787ol_nat(finite_card_int,image_41399353ol_int(F,A))),hAPP_f55526627ol_nat(finite1340463720e_bool,A))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f957591787ol_nat(finite_card_int,image_fun_a_bool_int(F,A))),hAPP_f2009550088ol_nat(finite1306199131a_bool,A))).
% 15.63/15.45 0 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f921600141ol_nat(finite_card_pname,image_a_pname(F,A))),hAPP_fun_a_bool_nat(finite_card_a,A))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f921600141ol_nat(finite_card_pname,image_nat_pname(F,A))),hAPP_f22106695ol_nat(finite_card_nat,A))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f921600141ol_nat(finite_card_pname,image_int_pname(F,A))),hAPP_f957591787ol_nat(finite_card_int,A))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_fun_a_bool_nat(finite_card_a,image_pname_a(F,A))),hAPP_f921600141ol_nat(finite_card_pname,A))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f957591787ol_nat(finite_card_int,image_nat_int(F,A))),hAPP_f22106695ol_nat(finite_card_nat,A))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,B))| -hBOOL(hAPP_f215623910l_bool(hAPP_f317860125l_bool(ord_le1848167016l_bool,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f521865025ol_nat(finite1876863882t_bool,A)),hAPP_f521865025ol_nat(finite1876863882t_bool,B))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B))| -hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f696928925ol_nat(finite346522414t_bool,A)),hAPP_f696928925ol_nat(finite346522414t_bool,B))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B))| -hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f55526627ol_nat(finite1340463720e_bool,A)),hAPP_f55526627ol_nat(finite1340463720e_bool,B))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B))| -hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f2009550088ol_nat(finite1306199131a_bool,A)),hAPP_f2009550088ol_nat(finite1306199131a_bool,B))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f921600141ol_nat(finite_card_pname,A)),hAPP_f921600141ol_nat(finite_card_pname,B))).
% 15.63/15.45 0 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_fun_a_bool_nat(finite_card_a,A)),hAPP_fun_a_bool_nat(finite_card_a,B))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f22106695ol_nat(finite_card_nat,A)),hAPP_f22106695ol_nat(finite_card_nat,B))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,B))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f957591787ol_nat(finite_card_int,A)),hAPP_f957591787ol_nat(finite_card_int,B))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,B))| -hBOOL(hAPP_f215623910l_bool(hAPP_f317860125l_bool(ord_le1848167016l_bool,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f521865025ol_nat(finite1876863882t_bool,B)),hAPP_f521865025ol_nat(finite1876863882t_bool,A)))|A=B.
% 15.63/15.45 0 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B))| -hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f696928925ol_nat(finite346522414t_bool,B)),hAPP_f696928925ol_nat(finite346522414t_bool,A)))|A=B.
% 15.63/15.45 0 [] -is_fun1661590463l_bool(A)| -is_fun1661590463l_bool(B)| -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B))| -hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f55526627ol_nat(finite1340463720e_bool,B)),hAPP_f55526627ol_nat(finite1340463720e_bool,A)))|A=B.
% 15.63/15.45 0 [] -is_fun949378684l_bool(A)| -is_fun949378684l_bool(B)| -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B))| -hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f2009550088ol_nat(finite1306199131a_bool,B)),hAPP_f2009550088ol_nat(finite1306199131a_bool,A)))|A=B.
% 15.63/15.45 0 [] -is_fun_pname_bool(A)| -is_fun_pname_bool(B)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f921600141ol_nat(finite_card_pname,B)),hAPP_f921600141ol_nat(finite_card_pname,A)))|A=B.
% 15.63/15.45 0 [] -is_fun_a_bool(A)| -is_fun_a_bool(B)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_fun_a_bool_nat(finite_card_a,B)),hAPP_fun_a_bool_nat(finite_card_a,A)))|A=B.
% 15.63/15.45 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f22106695ol_nat(finite_card_nat,B)),hAPP_f22106695ol_nat(finite_card_nat,A)))|A=B.
% 15.63/15.45 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,B))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f957591787ol_nat(finite_card_int,B)),hAPP_f957591787ol_nat(finite_card_int,A)))|A=B.
% 15.63/15.45 0 [] -hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f521865025ol_nat(finite1876863882t_bool,A)),hAPP_f521865025ol_nat(finite1876863882t_bool,hAPP_f1948010709l_bool(hAPP_f587666462l_bool(insert_fun_int_bool,X_1),A)))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f696928925ol_nat(finite346522414t_bool,A)),hAPP_f696928925ol_nat(finite346522414t_bool,hAPP_f1246832597l_bool(hAPP_f633452666l_bool(insert_fun_nat_bool,X_1),A)))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f55526627ol_nat(finite1340463720e_bool,A)),hAPP_f55526627ol_nat(finite1340463720e_bool,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X_1),A)))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f2009550088ol_nat(finite1306199131a_bool,A)),hAPP_f2009550088ol_nat(finite1306199131a_bool,hAPP_f2117159681l_bool(hAPP_f1531278575l_bool(insert_fun_a_bool,X_1),A)))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f921600141ol_nat(finite_card_pname,A)),hAPP_f921600141ol_nat(finite_card_pname,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),A)))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f22106695ol_nat(finite_card_nat,A)),hAPP_f22106695ol_nat(finite_card_nat,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),A)))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f957591787ol_nat(finite_card_int,A)),hAPP_f957591787ol_nat(finite_card_int,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),A)))).
% 15.63/15.45 0 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_fun_a_bool_nat(finite_card_a,A)),hAPP_fun_a_bool_nat(finite_card_a,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),A)))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A))| -hBOOL(hAPP_f215623910l_bool(hAPP_f628503027l_bool(member_fun_int_bool,X_1),A))|hAPP_f521865025ol_nat(finite1876863882t_bool,hAPP_f1948010709l_bool(hAPP_f587666462l_bool(insert_fun_int_bool,X_1),A))=hAPP_f521865025ol_nat(finite1876863882t_bool,A).
% 15.63/15.45 0 [] -hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A))|hBOOL(hAPP_f215623910l_bool(hAPP_f628503027l_bool(member_fun_int_bool,X_1),A))|hAPP_f521865025ol_nat(finite1876863882t_bool,hAPP_f1948010709l_bool(hAPP_f587666462l_bool(insert_fun_int_bool,X_1),A))=hAPP_nat_nat(suc,hAPP_f521865025ol_nat(finite1876863882t_bool,A)).
% 15.63/15.45 0 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A))| -hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,X_1),A))|hAPP_f696928925ol_nat(finite346522414t_bool,hAPP_f1246832597l_bool(hAPP_f633452666l_bool(insert_fun_nat_bool,X_1),A))=hAPP_f696928925ol_nat(finite346522414t_bool,A).
% 15.63/15.45 0 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A))|hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,X_1),A))|hAPP_f696928925ol_nat(finite346522414t_bool,hAPP_f1246832597l_bool(hAPP_f633452666l_bool(insert_fun_nat_bool,X_1),A))=hAPP_nat_nat(suc,hAPP_f696928925ol_nat(finite346522414t_bool,A)).
% 15.63/15.45 0 [] -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A))| -hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X_1),A))|hAPP_f55526627ol_nat(finite1340463720e_bool,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X_1),A))=hAPP_f55526627ol_nat(finite1340463720e_bool,A).
% 15.63/15.45 0 [] -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A))|hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X_1),A))|hAPP_f55526627ol_nat(finite1340463720e_bool,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X_1),A))=hAPP_nat_nat(suc,hAPP_f55526627ol_nat(finite1340463720e_bool,A)).
% 15.63/15.45 0 [] -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A))| -hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool,X_1),A))|hAPP_f2009550088ol_nat(finite1306199131a_bool,hAPP_f2117159681l_bool(hAPP_f1531278575l_bool(insert_fun_a_bool,X_1),A))=hAPP_f2009550088ol_nat(finite1306199131a_bool,A).
% 15.63/15.45 0 [] -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A))|hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool,X_1),A))|hAPP_f2009550088ol_nat(finite1306199131a_bool,hAPP_f2117159681l_bool(hAPP_f1531278575l_bool(insert_fun_a_bool,X_1),A))=hAPP_nat_nat(suc,hAPP_f2009550088ol_nat(finite1306199131a_bool,A)).
% 15.63/15.45 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))| -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))|hAPP_f921600141ol_nat(finite_card_pname,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),A))=hAPP_f921600141ol_nat(finite_card_pname,A).
% 15.63/15.45 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))|hAPP_f921600141ol_nat(finite_card_pname,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),A))=hAPP_nat_nat(suc,hAPP_f921600141ol_nat(finite_card_pname,A)).
% 15.63/15.45 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))|hAPP_f22106695ol_nat(finite_card_nat,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),A))=hAPP_f22106695ol_nat(finite_card_nat,A).
% 15.63/15.45 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))|hAPP_f22106695ol_nat(finite_card_nat,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),A))=hAPP_nat_nat(suc,hAPP_f22106695ol_nat(finite_card_nat,A)).
% 15.63/15.45 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A))|hAPP_f957591787ol_nat(finite_card_int,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),A))=hAPP_f957591787ol_nat(finite_card_int,A).
% 15.63/15.45 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A))|hAPP_f957591787ol_nat(finite_card_int,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),A))=hAPP_nat_nat(suc,hAPP_f957591787ol_nat(finite_card_int,A)).
% 15.63/15.45 0 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A))|hAPP_fun_a_bool_nat(finite_card_a,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),A))=hAPP_fun_a_bool_nat(finite_card_a,A).
% 15.63/15.45 0 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A))|hAPP_fun_a_bool_nat(finite_card_a,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),A))=hAPP_nat_nat(suc,hAPP_fun_a_bool_nat(finite_card_a,A)).
% 15.63/15.45 0 [] -hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A))|hBOOL(hAPP_f215623910l_bool(hAPP_f628503027l_bool(member_fun_int_bool,X_1),A))|hAPP_f521865025ol_nat(finite1876863882t_bool,hAPP_f1948010709l_bool(hAPP_f587666462l_bool(insert_fun_int_bool,X_1),A))=hAPP_nat_nat(suc,hAPP_f521865025ol_nat(finite1876863882t_bool,A)).
% 15.63/15.45 0 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A))|hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,X_1),A))|hAPP_f696928925ol_nat(finite346522414t_bool,hAPP_f1246832597l_bool(hAPP_f633452666l_bool(insert_fun_nat_bool,X_1),A))=hAPP_nat_nat(suc,hAPP_f696928925ol_nat(finite346522414t_bool,A)).
% 15.63/15.45 0 [] -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A))|hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X_1),A))|hAPP_f55526627ol_nat(finite1340463720e_bool,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X_1),A))=hAPP_nat_nat(suc,hAPP_f55526627ol_nat(finite1340463720e_bool,A)).
% 15.63/15.45 0 [] -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A))|hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool,X_1),A))|hAPP_f2009550088ol_nat(finite1306199131a_bool,hAPP_f2117159681l_bool(hAPP_f1531278575l_bool(insert_fun_a_bool,X_1),A))=hAPP_nat_nat(suc,hAPP_f2009550088ol_nat(finite1306199131a_bool,A)).
% 15.63/15.45 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))|hAPP_f921600141ol_nat(finite_card_pname,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),A))=hAPP_nat_nat(suc,hAPP_f921600141ol_nat(finite_card_pname,A)).
% 15.63/15.45 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))|hAPP_f22106695ol_nat(finite_card_nat,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),A))=hAPP_nat_nat(suc,hAPP_f22106695ol_nat(finite_card_nat,A)).
% 15.63/15.45 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A))|hAPP_f957591787ol_nat(finite_card_int,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),A))=hAPP_nat_nat(suc,hAPP_f957591787ol_nat(finite_card_int,A)).
% 15.63/15.45 0 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A))|hAPP_fun_a_bool_nat(finite_card_a,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),A))=hAPP_nat_nat(suc,hAPP_fun_a_bool_nat(finite_card_a,A)).
% 15.63/15.45 0 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(Pa)))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,Pa),Q_3)))).
% 15.63/15.45 0 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(Q_3)))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,Pa),Q_3)))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,collect_fun_int_bool(Pa)))|hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,collect_fun_int_bool(cOMBS_1912792529l_bool(cOMBB_1974511970t_bool(fconj,Pa),Q_3)))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,collect_fun_int_bool(Q_3)))|hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,collect_fun_int_bool(cOMBS_1912792529l_bool(cOMBB_1974511970t_bool(fconj,Pa),Q_3)))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(Pa)))|hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fconj,Pa),Q_3)))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(Q_3)))|hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fconj,Pa),Q_3)))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(Pa)))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,Pa),Q_3)))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(Q_3)))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,Pa),Q_3)))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(Pa)))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fconj,Pa),Q_3)))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(Q_3)))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fconj,Pa),Q_3)))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(Pa)))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,Pa),Q_3)))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(Q_3)))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,Pa),Q_3)))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(Pa)))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,Pa),Q_3)))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(Q_3)))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,Pa),Q_3)))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,collect_int(Pa)))|hBOOL(hAPP_f448129468l_bool(finite_finite_int,collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fconj,Pa),Q_3)))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,collect_int(Q_3)))|hBOOL(hAPP_f448129468l_bool(finite_finite_int,collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fconj,Pa),Q_3)))).
% 15.63/15.45 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),M_1))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(suc,M_1)),N)=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N)).
% 15.63/15.45 0 [] hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_e_q_nat),K)))).
% 15.63/15.45 0 [] hAPP_f22106695ol_nat(finite_card_nat,collect_nat(hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_e_q_nat),Na)))=hAPP_nat_nat(suc,Na).
% 15.63/15.45 0 [] hAPP_nat_nat(suc,X)!=hAPP_nat_nat(suc,Y)|X=Y.
% 15.63/15.45 0 [] hAPP_nat_nat(suc,Nat_3)!=hAPP_nat_nat(suc,Nat_4)|Nat_3=Nat_4.
% 15.63/15.45 0 [] hAPP_nat_nat(suc,Nat_3)=hAPP_nat_nat(suc,Nat_4)|Nat_3!=Nat_4.
% 15.63/15.45 0 [] hAPP_nat_nat(suc,N)!=N.
% 15.63/15.45 0 [] N!=hAPP_nat_nat(suc,N).
% 15.63/15.45 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),M_1))|M_1=N.
% 15.63/15.45 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,J),K_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_1),K_1)).
% 15.63/15.45 0 [] M_1!=N|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N)).
% 15.63/15.45 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),M_1)).
% 15.63/15.45 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),N)).
% 15.63/15.45 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,I_1),J)),K_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,I_1),K_1)),J).
% 15.63/15.45 0 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,Pa),Q_3))))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(Pa))).
% 15.63/15.45 0 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,Pa),Q_3))))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(Q_3))).
% 15.63/15.45 0 [] hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,Pa),Q_3))))| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(Pa)))| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(Q_3))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,collect_fun_int_bool(cOMBS_1912792529l_bool(cOMBB_1974511970t_bool(fdisj,Pa),Q_3))))|hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,collect_fun_int_bool(Pa))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,collect_fun_int_bool(cOMBS_1912792529l_bool(cOMBB_1974511970t_bool(fdisj,Pa),Q_3))))|hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,collect_fun_int_bool(Q_3))).
% 15.63/15.45 0 [] hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,collect_fun_int_bool(cOMBS_1912792529l_bool(cOMBB_1974511970t_bool(fdisj,Pa),Q_3))))| -hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,collect_fun_int_bool(Pa)))| -hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,collect_fun_int_bool(Q_3))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fdisj,Pa),Q_3))))|hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(Pa))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fdisj,Pa),Q_3))))|hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(Q_3))).
% 15.63/15.45 0 [] hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fdisj,Pa),Q_3))))| -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(Pa)))| -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(Q_3))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,Pa),Q_3))))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(Pa))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,Pa),Q_3))))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(Q_3))).
% 15.63/15.45 0 [] hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,Pa),Q_3))))| -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(Pa)))| -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(Q_3))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj,Pa),Q_3))))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(Pa))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj,Pa),Q_3))))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(Q_3))).
% 15.63/15.45 0 [] hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj,Pa),Q_3))))| -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(Pa)))| -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(Q_3))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,Pa),Q_3))))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(Pa))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,Pa),Q_3))))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(Q_3))).
% 15.63/15.45 0 [] hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,Pa),Q_3))))| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(Pa)))| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(Q_3))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,Pa),Q_3))))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(Pa))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,Pa),Q_3))))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(Q_3))).
% 15.63/15.45 0 [] hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,Pa),Q_3))))| -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(Pa)))| -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(Q_3))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fdisj,Pa),Q_3))))|hBOOL(hAPP_f448129468l_bool(finite_finite_int,collect_int(Pa))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fdisj,Pa),Q_3))))|hBOOL(hAPP_f448129468l_bool(finite_finite_int,collect_int(Q_3))).
% 15.63/15.45 0 [] hBOOL(hAPP_f448129468l_bool(finite_finite_int,collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fdisj,Pa),Q_3))))| -hBOOL(hAPP_f448129468l_bool(finite_finite_int,collect_int(Pa)))| -hBOOL(hAPP_f448129468l_bool(finite_finite_int,collect_int(Q_3))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,hAPP_f1948010709l_bool(hAPP_f587666462l_bool(insert_fun_int_bool,A_2),A)))|hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A)).
% 15.63/15.45 0 [] hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,hAPP_f1948010709l_bool(hAPP_f587666462l_bool(insert_fun_int_bool,A_2),A)))| -hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A)).
% 15.63/15.45 0 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,hAPP_f1246832597l_bool(hAPP_f633452666l_bool(insert_fun_nat_bool,A_2),A)))|hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A)).
% 15.63/15.45 0 [] hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,hAPP_f1246832597l_bool(hAPP_f633452666l_bool(insert_fun_nat_bool,A_2),A)))| -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A)).
% 15.63/15.45 0 [] -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,A_2),A)))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A)).
% 15.63/15.45 0 [] hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,A_2),A)))| -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A)).
% 15.63/15.45 0 [] -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,hAPP_f2117159681l_bool(hAPP_f1531278575l_bool(insert_fun_a_bool,A_2),A)))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A)).
% 15.63/15.45 0 [] hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,hAPP_f2117159681l_bool(hAPP_f1531278575l_bool(insert_fun_a_bool,A_2),A)))| -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A)).
% 15.63/15.45 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A_2),A)))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A)).
% 15.63/15.45 0 [] hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A_2),A)))| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A)).
% 15.63/15.45 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),A)))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A)).
% 15.63/15.45 0 [] hBOOL(hAPP_f54304608l_bool(finite_finite_nat,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),A)))| -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A)).
% 15.63/15.45 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),A)))|hBOOL(hAPP_f448129468l_bool(finite_finite_int,A)).
% 15.63/15.45 0 [] hBOOL(hAPP_f448129468l_bool(finite_finite_int,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),A)))| -hBOOL(hAPP_f448129468l_bool(finite_finite_int,A)).
% 15.63/15.45 0 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),A)))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A)).
% 15.63/15.45 0 [] hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),A)))| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A)).
% 15.63/15.45 0 [] -hBOOL(hAPP_f215623910l_bool(hAPP_f317860125l_bool(ord_le1848167016l_bool,A),B))| -hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,B))|hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A)).
% 15.63/15.45 0 [] -hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,A),B))| -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B))|hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A)).
% 15.63/15.45 0 [] -hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,A),B))| -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A)).
% 15.63/15.45 0 [] -hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,A),B))| -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A)).
% 15.63/15.45 0 [] -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B))| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A)).
% 15.63/15.45 0 [] -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B))| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A)).
% 15.63/15.45 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B))| -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A)).
% 15.63/15.45 0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B))| -hBOOL(hAPP_f448129468l_bool(finite_finite_int,B))|hBOOL(hAPP_f448129468l_bool(finite_finite_int,A)).
% 15.63/15.45 0 [] -hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,B))| -hBOOL(hAPP_f215623910l_bool(hAPP_f317860125l_bool(ord_le1848167016l_bool,A),B))|hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A)).
% 15.63/15.45 0 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B))| -hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,A),B))|hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A)).
% 15.63/15.45 0 [] -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B))| -hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,A),B))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A)).
% 15.63/15.45 0 [] -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B))| -hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,A),B))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A)).
% 15.63/15.45 0 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A)).
% 15.63/15.45 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A)).
% 15.63/15.45 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A)).
% 15.63/15.45 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,B))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B))|hBOOL(hAPP_f448129468l_bool(finite_finite_int,A)).
% 15.63/15.45 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,M_1)),N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N)).
% 15.63/15.45 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),hAPP_nat_nat(suc,N)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N))|M_1=hAPP_nat_nat(suc,N).
% 15.63/15.45 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),hAPP_nat_nat(suc,N))).
% 15.63/15.45 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,Na)),hAPP_nat_nat(suc,M)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Na),M)).
% 15.63/15.45 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,Na)),hAPP_nat_nat(suc,M)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Na),M)).
% 15.63/15.45 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),hAPP_nat_nat(suc,Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),Na))|M=hAPP_nat_nat(suc,Na).
% 15.63/15.45 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),hAPP_nat_nat(suc,Na)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),Na)).
% 15.63/15.45 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),hAPP_nat_nat(suc,Na)))|M!=hAPP_nat_nat(suc,Na).
% 15.63/15.45 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),Na))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,Na)),M)).
% 15.63/15.45 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),Na))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,Na)),M)).
% 15.63/15.45 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,N)),N)).
% 15.63/15.45 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)),hAPP_nat_nat(suc,K_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),N)),K_1).
% 15.63/15.45 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(suc,M_1)),hAPP_nat_nat(suc,N))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N).
% 15.63/15.45 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),M))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),Na))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),K)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,Na),K)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),Na)).
% 15.63/15.45 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),M))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),Na))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),K)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,Na),K)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),Na)).
% 15.63/15.45 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),M_1))| -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,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),K_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),K_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N).
% 15.63/15.45 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),M))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),Na))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),K)!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,Na),K)|M=Na.
% 15.63/15.45 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),M))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),Na))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),K)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,Na),K)|M!=Na.
% 15.63/15.45 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_1),N))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),I_1))=I_1.
% 15.63/15.45 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_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_1),L_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),L_1))).
% 15.63/15.45 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_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,L_1),N)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,L_1),M_1))).
% 15.63/15.45 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)),M_1)).
% 15.63/15.45 0 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_a_a(F,A)))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B)).
% 15.63/15.45 0 [] -hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_fun_int_bool_a(F,A)))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B)).
% 15.63/15.45 0 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_fun_nat_bool_a(F,A)))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B)).
% 15.63/15.45 0 [] -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_876012084bool_a(F,A)))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B)).
% 15.63/15.45 0 [] -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_fun_a_bool_a(F,A)))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B)).
% 15.63/15.45 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))| -hBOOL(hAPP_f215623910l_bool(hAPP_f317860125l_bool(ord_le1848167016l_bool,B),image_1512837979t_bool(F,A)))|hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,B)).
% 15.63/15.45 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))| -hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,B),image_2129980159t_bool(F,A)))|hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B)).
% 15.63/15.45 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))| -hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,B),image_47868345e_bool(F,A)))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B)).
% 15.63/15.45 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))| -hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,B),image_112932426a_bool(F,A)))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B)).
% 15.63/15.45 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_pname_pname(F,A)))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B)).
% 15.63/15.45 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_nat_a(F,A)))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B)).
% 15.63/15.45 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))| -hBOOL(hAPP_f215623910l_bool(hAPP_f317860125l_bool(ord_le1848167016l_bool,B),image_1556378401t_bool(F,A)))|hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,B)).
% 15.63/15.45 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))| -hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,B),image_26036933t_bool(F,A)))|hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B)).
% 15.63/15.45 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))| -hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,B),image_1655916159e_bool(F,A)))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B)).
% 15.63/15.45 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))| -hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,B),image_nat_fun_a_bool(F,A)))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B)).
% 15.63/15.45 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_nat_pname(F,A)))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B)).
% 15.63/15.45 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_int_a(F,A)))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B)).
% 15.63/15.45 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))| -hBOOL(hAPP_f215623910l_bool(hAPP_f317860125l_bool(ord_le1848167016l_bool,B),image_275383677t_bool(F,A)))|hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,B)).
% 15.63/15.45 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))| -hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,B),image_892525857t_bool(F,A)))|hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B)).
% 15.63/15.45 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))| -hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,B),image_637364955e_bool(F,A)))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B)).
% 15.63/15.45 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))| -hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,B),image_int_fun_a_bool(F,A)))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B)).
% 15.63/15.45 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_int_pname(F,A)))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B)).
% 15.63/15.45 0 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_a_pname(F,A)))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B)).
% 15.63/15.45 0 [] -hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_62782965_pname(F,A)))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B)).
% 15.63/15.45 0 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_1921560913_pname(F,A)))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B)).
% 15.63/15.45 0 [] -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_1283814551_pname(F,A)))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B)).
% 15.63/15.45 0 [] -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_1854862208_pname(F,A)))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B)).
% 15.63/15.45 0 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),image_a_nat(F,A)))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B)).
% 15.63/15.45 0 [] -hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),image_1431733819ol_nat(F,A)))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B)).
% 15.63/15.45 0 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),image_496248727ol_nat(F,A)))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B)).
% 15.63/15.45 0 [] -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),image_1551609309ol_nat(F,A)))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B)).
% 15.63/15.45 0 [] -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),image_fun_a_bool_nat(F,A)))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B)).
% 15.63/15.45 0 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),image_a_int(F,A)))|hBOOL(hAPP_f448129468l_bool(finite_finite_int,B)).
% 15.63/15.45 0 [] -hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),image_2069007511ol_int(F,A)))|hBOOL(hAPP_f448129468l_bool(finite_finite_int,B)).
% 15.63/15.45 0 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),image_1133522419ol_int(F,A)))|hBOOL(hAPP_f448129468l_bool(finite_finite_int,B)).
% 15.63/15.45 0 [] -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),image_41399353ol_int(F,A)))|hBOOL(hAPP_f448129468l_bool(finite_finite_int,B)).
% 15.63/15.45 0 [] -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),image_fun_a_bool_int(F,A)))|hBOOL(hAPP_f448129468l_bool(finite_finite_int,B)).
% 15.63/15.45 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_pname_a(F,A)))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B)).
% 15.63/15.45 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),image_nat_int(F,A)))|hBOOL(hAPP_f448129468l_bool(finite_finite_int,B)).
% 15.63/15.45 0 [] -is_fun_a_bool(B)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_fun_int_bool_a(F,A)))|hBOOL(hAPP_f215623910l_bool(hAPP_f317860125l_bool(ord_le1848167016l_bool,$f1(F,A,B)),A)).
% 15.63/15.45 0 [] -is_fun_a_bool(B)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_fun_int_bool_a(F,A)))|hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,$f1(F,A,B))).
% 15.63/15.45 0 [] -is_fun_a_bool(B)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_fun_int_bool_a(F,A)))|B=image_fun_int_bool_a(F,$f1(F,A,B)).
% 15.63/15.45 0 [] -is_fun_a_bool(B)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_fun_nat_bool_a(F,A)))|hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,$f2(F,A,B)),A)).
% 15.63/15.45 0 [] -is_fun_a_bool(B)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_fun_nat_bool_a(F,A)))|hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,$f2(F,A,B))).
% 15.63/15.45 0 [] -is_fun_a_bool(B)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_fun_nat_bool_a(F,A)))|B=image_fun_nat_bool_a(F,$f2(F,A,B)).
% 15.63/15.45 0 [] -is_fun_a_bool(B)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_876012084bool_a(F,A)))|is_fun1661590463l_bool($f3(F,A,B)).
% 15.63/15.45 0 [] -is_fun_a_bool(B)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_876012084bool_a(F,A)))|hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,$f3(F,A,B)),A)).
% 15.63/15.45 0 [] -is_fun_a_bool(B)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_876012084bool_a(F,A)))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,$f3(F,A,B))).
% 15.63/15.45 0 [] -is_fun_a_bool(B)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_876012084bool_a(F,A)))|B=image_876012084bool_a(F,$f3(F,A,B)).
% 15.63/15.45 0 [] -is_fun_a_bool(B)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_fun_a_bool_a(F,A)))|is_fun949378684l_bool($f4(F,A,B)).
% 15.63/15.45 0 [] -is_fun_a_bool(B)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_fun_a_bool_a(F,A)))|hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,$f4(F,A,B)),A)).
% 15.63/15.45 0 [] -is_fun_a_bool(B)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_fun_a_bool_a(F,A)))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,$f4(F,A,B))).
% 15.63/15.45 0 [] -is_fun_a_bool(B)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_fun_a_bool_a(F,A)))|B=image_fun_a_bool_a(F,$f4(F,A,B)).
% 15.63/15.45 0 [] -is_fun_a_bool(B)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_a_a(F,A)))|is_fun_a_bool($f5(F,A,B)).
% 15.63/15.45 0 [] -is_fun_a_bool(B)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_a_a(F,A)))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,$f5(F,A,B)),A)).
% 15.63/15.45 0 [] -is_fun_a_bool(B)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_a_a(F,A)))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,$f5(F,A,B))).
% 15.63/15.45 0 [] -is_fun_a_bool(B)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_a_a(F,A)))|B=image_a_a(F,$f5(F,A,B)).
% 15.63/15.45 0 [] -hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,B))| -hBOOL(hAPP_f215623910l_bool(hAPP_f317860125l_bool(ord_le1848167016l_bool,B),image_a_fun_int_bool(F,A)))|is_fun_a_bool($f6(F,A,B)).
% 15.63/15.45 0 [] -hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,B))| -hBOOL(hAPP_f215623910l_bool(hAPP_f317860125l_bool(ord_le1848167016l_bool,B),image_a_fun_int_bool(F,A)))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,$f6(F,A,B)),A)).
% 15.63/15.45 0 [] -hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,B))| -hBOOL(hAPP_f215623910l_bool(hAPP_f317860125l_bool(ord_le1848167016l_bool,B),image_a_fun_int_bool(F,A)))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,$f6(F,A,B))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,B))| -hBOOL(hAPP_f215623910l_bool(hAPP_f317860125l_bool(ord_le1848167016l_bool,B),image_a_fun_int_bool(F,A)))|B=image_a_fun_int_bool(F,$f6(F,A,B)).
% 15.63/15.45 0 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B))| -hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,B),image_a_fun_nat_bool(F,A)))|is_fun_a_bool($f7(F,A,B)).
% 15.63/15.45 0 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B))| -hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,B),image_a_fun_nat_bool(F,A)))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,$f7(F,A,B)),A)).
% 15.63/15.45 0 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B))| -hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,B),image_a_fun_nat_bool(F,A)))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,$f7(F,A,B))).
% 15.63/15.45 0 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B))| -hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,B),image_a_fun_nat_bool(F,A)))|B=image_a_fun_nat_bool(F,$f7(F,A,B)).
% 15.63/15.45 0 [] -is_fun1661590463l_bool(B)| -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B))| -hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,B),image_819518260e_bool(F,A)))|is_fun_a_bool($f8(F,A,B)).
% 15.63/15.45 0 [] -is_fun1661590463l_bool(B)| -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B))| -hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,B),image_819518260e_bool(F,A)))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,$f8(F,A,B)),A)).
% 15.63/15.45 0 [] -is_fun1661590463l_bool(B)| -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B))| -hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,B),image_819518260e_bool(F,A)))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,$f8(F,A,B))).
% 15.63/15.45 0 [] -is_fun1661590463l_bool(B)| -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B))| -hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,B),image_819518260e_bool(F,A)))|B=image_819518260e_bool(F,$f8(F,A,B)).
% 15.63/15.45 0 [] -is_fun949378684l_bool(B)| -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B))| -hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,B),image_a_fun_a_bool(F,A)))|is_fun_a_bool($f9(F,A,B)).
% 15.63/15.45 0 [] -is_fun949378684l_bool(B)| -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B))| -hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,B),image_a_fun_a_bool(F,A)))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,$f9(F,A,B)),A)).
% 15.63/15.45 0 [] -is_fun949378684l_bool(B)| -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B))| -hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,B),image_a_fun_a_bool(F,A)))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,$f9(F,A,B))).
% 15.63/15.45 0 [] -is_fun949378684l_bool(B)| -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B))| -hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,B),image_a_fun_a_bool(F,A)))|B=image_a_fun_a_bool(F,$f9(F,A,B)).
% 15.63/15.45 0 [] -is_fun_pname_bool(B)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_a_pname(F,A)))|is_fun_a_bool($f10(F,A,B)).
% 15.63/15.46 0 [] -is_fun_pname_bool(B)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_a_pname(F,A)))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,$f10(F,A,B)),A)).
% 15.63/15.46 0 [] -is_fun_pname_bool(B)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_a_pname(F,A)))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,$f10(F,A,B))).
% 15.63/15.46 0 [] -is_fun_pname_bool(B)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_a_pname(F,A)))|B=image_a_pname(F,$f10(F,A,B)).
% 15.63/15.46 0 [] -is_fun_pname_bool(B)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_62782965_pname(F,A)))|hBOOL(hAPP_f215623910l_bool(hAPP_f317860125l_bool(ord_le1848167016l_bool,$f11(F,A,B)),A)).
% 15.63/15.46 0 [] -is_fun_pname_bool(B)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_62782965_pname(F,A)))|hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,$f11(F,A,B))).
% 15.63/15.46 0 [] -is_fun_pname_bool(B)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_62782965_pname(F,A)))|B=image_62782965_pname(F,$f11(F,A,B)).
% 15.63/15.46 0 [] -is_fun_pname_bool(B)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_1921560913_pname(F,A)))|hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,$f12(F,A,B)),A)).
% 15.63/15.46 0 [] -is_fun_pname_bool(B)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_1921560913_pname(F,A)))|hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,$f12(F,A,B))).
% 15.63/15.46 0 [] -is_fun_pname_bool(B)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_1921560913_pname(F,A)))|B=image_1921560913_pname(F,$f12(F,A,B)).
% 15.63/15.46 0 [] -is_fun_pname_bool(B)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_1283814551_pname(F,A)))|is_fun1661590463l_bool($f13(F,A,B)).
% 15.63/15.46 0 [] -is_fun_pname_bool(B)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_1283814551_pname(F,A)))|hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,$f13(F,A,B)),A)).
% 15.63/15.46 0 [] -is_fun_pname_bool(B)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_1283814551_pname(F,A)))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,$f13(F,A,B))).
% 15.63/15.46 0 [] -is_fun_pname_bool(B)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_1283814551_pname(F,A)))|B=image_1283814551_pname(F,$f13(F,A,B)).
% 15.63/15.46 0 [] -is_fun_pname_bool(B)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_1854862208_pname(F,A)))|is_fun949378684l_bool($f14(F,A,B)).
% 15.63/15.46 0 [] -is_fun_pname_bool(B)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_1854862208_pname(F,A)))|hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,$f14(F,A,B)),A)).
% 15.63/15.46 0 [] -is_fun_pname_bool(B)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_1854862208_pname(F,A)))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,$f14(F,A,B))).
% 15.63/15.46 0 [] -is_fun_pname_bool(B)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_1854862208_pname(F,A)))|B=image_1854862208_pname(F,$f14(F,A,B)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),image_a_nat(F,A)))|is_fun_a_bool($f15(F,A,B)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),image_a_nat(F,A)))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,$f15(F,A,B)),A)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),image_a_nat(F,A)))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,$f15(F,A,B))).
% 15.63/15.46 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),image_a_nat(F,A)))|B=image_a_nat(F,$f15(F,A,B)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),image_1431733819ol_nat(F,A)))|hBOOL(hAPP_f215623910l_bool(hAPP_f317860125l_bool(ord_le1848167016l_bool,$f16(F,A,B)),A)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),image_1431733819ol_nat(F,A)))|hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,$f16(F,A,B))).
% 15.63/15.46 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),image_1431733819ol_nat(F,A)))|B=image_1431733819ol_nat(F,$f16(F,A,B)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),image_496248727ol_nat(F,A)))|hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,$f17(F,A,B)),A)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),image_496248727ol_nat(F,A)))|hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,$f17(F,A,B))).
% 15.63/15.46 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),image_496248727ol_nat(F,A)))|B=image_496248727ol_nat(F,$f17(F,A,B)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),image_1551609309ol_nat(F,A)))|is_fun1661590463l_bool($f18(F,A,B)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),image_1551609309ol_nat(F,A)))|hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,$f18(F,A,B)),A)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),image_1551609309ol_nat(F,A)))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,$f18(F,A,B))).
% 15.63/15.46 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),image_1551609309ol_nat(F,A)))|B=image_1551609309ol_nat(F,$f18(F,A,B)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),image_fun_a_bool_nat(F,A)))|is_fun949378684l_bool($f19(F,A,B)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),image_fun_a_bool_nat(F,A)))|hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,$f19(F,A,B)),A)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),image_fun_a_bool_nat(F,A)))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,$f19(F,A,B))).
% 15.63/15.46 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),image_fun_a_bool_nat(F,A)))|B=image_fun_a_bool_nat(F,$f19(F,A,B)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),image_pname_nat(F,A)))|is_fun_pname_bool($f20(F,A,B)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),image_pname_nat(F,A)))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,$f20(F,A,B)),A)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),image_pname_nat(F,A)))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,$f20(F,A,B))).
% 15.63/15.46 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),image_pname_nat(F,A)))|B=image_pname_nat(F,$f20(F,A,B)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,B))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),image_a_int(F,A)))|is_fun_a_bool($f21(F,A,B)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,B))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),image_a_int(F,A)))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,$f21(F,A,B)),A)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,B))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),image_a_int(F,A)))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,$f21(F,A,B))).
% 15.63/15.46 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,B))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),image_a_int(F,A)))|B=image_a_int(F,$f21(F,A,B)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,B))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),image_2069007511ol_int(F,A)))|hBOOL(hAPP_f215623910l_bool(hAPP_f317860125l_bool(ord_le1848167016l_bool,$f22(F,A,B)),A)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,B))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),image_2069007511ol_int(F,A)))|hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,$f22(F,A,B))).
% 15.63/15.46 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,B))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),image_2069007511ol_int(F,A)))|B=image_2069007511ol_int(F,$f22(F,A,B)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,B))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),image_1133522419ol_int(F,A)))|hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,$f23(F,A,B)),A)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,B))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),image_1133522419ol_int(F,A)))|hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,$f23(F,A,B))).
% 15.63/15.46 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,B))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),image_1133522419ol_int(F,A)))|B=image_1133522419ol_int(F,$f23(F,A,B)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,B))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),image_41399353ol_int(F,A)))|is_fun1661590463l_bool($f24(F,A,B)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,B))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),image_41399353ol_int(F,A)))|hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,$f24(F,A,B)),A)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,B))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),image_41399353ol_int(F,A)))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,$f24(F,A,B))).
% 15.63/15.46 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,B))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),image_41399353ol_int(F,A)))|B=image_41399353ol_int(F,$f24(F,A,B)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,B))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),image_fun_a_bool_int(F,A)))|is_fun949378684l_bool($f25(F,A,B)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,B))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),image_fun_a_bool_int(F,A)))|hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,$f25(F,A,B)),A)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,B))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),image_fun_a_bool_int(F,A)))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,$f25(F,A,B))).
% 15.63/15.46 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,B))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),image_fun_a_bool_int(F,A)))|B=image_fun_a_bool_int(F,$f25(F,A,B)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,B))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),image_pname_int(F,A)))|is_fun_pname_bool($f26(F,A,B)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,B))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),image_pname_int(F,A)))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,$f26(F,A,B)),A)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,B))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),image_pname_int(F,A)))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,$f26(F,A,B))).
% 15.63/15.46 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,B))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),image_pname_int(F,A)))|B=image_pname_int(F,$f26(F,A,B)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,B))| -hBOOL(hAPP_f215623910l_bool(hAPP_f317860125l_bool(ord_le1848167016l_bool,B),image_1512837979t_bool(F,A)))|is_fun_pname_bool($f27(F,A,B)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,B))| -hBOOL(hAPP_f215623910l_bool(hAPP_f317860125l_bool(ord_le1848167016l_bool,B),image_1512837979t_bool(F,A)))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,$f27(F,A,B)),A)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,B))| -hBOOL(hAPP_f215623910l_bool(hAPP_f317860125l_bool(ord_le1848167016l_bool,B),image_1512837979t_bool(F,A)))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,$f27(F,A,B))).
% 15.63/15.46 0 [] -hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,B))| -hBOOL(hAPP_f215623910l_bool(hAPP_f317860125l_bool(ord_le1848167016l_bool,B),image_1512837979t_bool(F,A)))|B=image_1512837979t_bool(F,$f27(F,A,B)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B))| -hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,B),image_2129980159t_bool(F,A)))|is_fun_pname_bool($f28(F,A,B)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B))| -hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,B),image_2129980159t_bool(F,A)))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,$f28(F,A,B)),A)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B))| -hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,B),image_2129980159t_bool(F,A)))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,$f28(F,A,B))).
% 15.63/15.46 0 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B))| -hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,B),image_2129980159t_bool(F,A)))|B=image_2129980159t_bool(F,$f28(F,A,B)).
% 15.63/15.46 0 [] -is_fun1661590463l_bool(B)| -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B))| -hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,B),image_47868345e_bool(F,A)))|is_fun_pname_bool($f29(F,A,B)).
% 15.63/15.46 0 [] -is_fun1661590463l_bool(B)| -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B))| -hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,B),image_47868345e_bool(F,A)))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,$f29(F,A,B)),A)).
% 15.63/15.46 0 [] -is_fun1661590463l_bool(B)| -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B))| -hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,B),image_47868345e_bool(F,A)))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,$f29(F,A,B))).
% 15.63/15.46 0 [] -is_fun1661590463l_bool(B)| -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B))| -hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,B),image_47868345e_bool(F,A)))|B=image_47868345e_bool(F,$f29(F,A,B)).
% 15.63/15.46 0 [] -is_fun949378684l_bool(B)| -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B))| -hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,B),image_112932426a_bool(F,A)))|is_fun_pname_bool($f30(F,A,B)).
% 15.63/15.46 0 [] -is_fun949378684l_bool(B)| -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B))| -hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,B),image_112932426a_bool(F,A)))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,$f30(F,A,B)),A)).
% 15.63/15.46 0 [] -is_fun949378684l_bool(B)| -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B))| -hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,B),image_112932426a_bool(F,A)))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,$f30(F,A,B))).
% 15.63/15.46 0 [] -is_fun949378684l_bool(B)| -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B))| -hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,B),image_112932426a_bool(F,A)))|B=image_112932426a_bool(F,$f30(F,A,B)).
% 15.63/15.46 0 [] -is_fun_pname_bool(B)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_pname_pname(F,A)))|is_fun_pname_bool($f31(F,A,B)).
% 15.63/15.46 0 [] -is_fun_pname_bool(B)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_pname_pname(F,A)))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,$f31(F,A,B)),A)).
% 15.63/15.46 0 [] -is_fun_pname_bool(B)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_pname_pname(F,A)))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,$f31(F,A,B))).
% 15.63/15.46 0 [] -is_fun_pname_bool(B)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_pname_pname(F,A)))|B=image_pname_pname(F,$f31(F,A,B)).
% 15.63/15.46 0 [] -is_fun_a_bool(B)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_nat_a(F,A)))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,$f32(F,A,B)),A)).
% 15.63/15.46 0 [] -is_fun_a_bool(B)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_nat_a(F,A)))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,$f32(F,A,B))).
% 15.63/15.46 0 [] -is_fun_a_bool(B)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_nat_a(F,A)))|B=image_nat_a(F,$f32(F,A,B)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,B))| -hBOOL(hAPP_f215623910l_bool(hAPP_f317860125l_bool(ord_le1848167016l_bool,B),image_1556378401t_bool(F,A)))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,$f33(F,A,B)),A)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,B))| -hBOOL(hAPP_f215623910l_bool(hAPP_f317860125l_bool(ord_le1848167016l_bool,B),image_1556378401t_bool(F,A)))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,$f33(F,A,B))).
% 15.63/15.46 0 [] -hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,B))| -hBOOL(hAPP_f215623910l_bool(hAPP_f317860125l_bool(ord_le1848167016l_bool,B),image_1556378401t_bool(F,A)))|B=image_1556378401t_bool(F,$f33(F,A,B)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B))| -hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,B),image_26036933t_bool(F,A)))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,$f34(F,A,B)),A)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B))| -hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,B),image_26036933t_bool(F,A)))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,$f34(F,A,B))).
% 15.63/15.46 0 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B))| -hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,B),image_26036933t_bool(F,A)))|B=image_26036933t_bool(F,$f34(F,A,B)).
% 15.63/15.46 0 [] -is_fun1661590463l_bool(B)| -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B))| -hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,B),image_1655916159e_bool(F,A)))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,$f35(F,A,B)),A)).
% 15.63/15.46 0 [] -is_fun1661590463l_bool(B)| -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B))| -hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,B),image_1655916159e_bool(F,A)))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,$f35(F,A,B))).
% 15.63/15.46 0 [] -is_fun1661590463l_bool(B)| -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B))| -hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,B),image_1655916159e_bool(F,A)))|B=image_1655916159e_bool(F,$f35(F,A,B)).
% 15.63/15.46 0 [] -is_fun949378684l_bool(B)| -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B))| -hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,B),image_nat_fun_a_bool(F,A)))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,$f36(F,A,B)),A)).
% 15.63/15.46 0 [] -is_fun949378684l_bool(B)| -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B))| -hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,B),image_nat_fun_a_bool(F,A)))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,$f36(F,A,B))).
% 15.63/15.46 0 [] -is_fun949378684l_bool(B)| -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B))| -hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,B),image_nat_fun_a_bool(F,A)))|B=image_nat_fun_a_bool(F,$f36(F,A,B)).
% 15.63/15.46 0 [] -is_fun_pname_bool(B)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_nat_pname(F,A)))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,$f37(F,A,B)),A)).
% 15.63/15.46 0 [] -is_fun_pname_bool(B)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_nat_pname(F,A)))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,$f37(F,A,B))).
% 15.63/15.46 0 [] -is_fun_pname_bool(B)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_nat_pname(F,A)))|B=image_nat_pname(F,$f37(F,A,B)).
% 15.63/15.46 0 [] -is_fun_a_bool(B)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_int_a(F,A)))|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,$f38(F,A,B)),A)).
% 15.63/15.46 0 [] -is_fun_a_bool(B)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_int_a(F,A)))|hBOOL(hAPP_f448129468l_bool(finite_finite_int,$f38(F,A,B))).
% 15.63/15.46 0 [] -is_fun_a_bool(B)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_int_a(F,A)))|B=image_int_a(F,$f38(F,A,B)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,B))| -hBOOL(hAPP_f215623910l_bool(hAPP_f317860125l_bool(ord_le1848167016l_bool,B),image_275383677t_bool(F,A)))|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,$f39(F,A,B)),A)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,B))| -hBOOL(hAPP_f215623910l_bool(hAPP_f317860125l_bool(ord_le1848167016l_bool,B),image_275383677t_bool(F,A)))|hBOOL(hAPP_f448129468l_bool(finite_finite_int,$f39(F,A,B))).
% 15.63/15.46 0 [] -hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,B))| -hBOOL(hAPP_f215623910l_bool(hAPP_f317860125l_bool(ord_le1848167016l_bool,B),image_275383677t_bool(F,A)))|B=image_275383677t_bool(F,$f39(F,A,B)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B))| -hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,B),image_892525857t_bool(F,A)))|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,$f40(F,A,B)),A)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B))| -hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,B),image_892525857t_bool(F,A)))|hBOOL(hAPP_f448129468l_bool(finite_finite_int,$f40(F,A,B))).
% 15.63/15.46 0 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B))| -hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,B),image_892525857t_bool(F,A)))|B=image_892525857t_bool(F,$f40(F,A,B)).
% 15.63/15.46 0 [] -is_fun1661590463l_bool(B)| -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B))| -hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,B),image_637364955e_bool(F,A)))|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,$f41(F,A,B)),A)).
% 15.63/15.46 0 [] -is_fun1661590463l_bool(B)| -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B))| -hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,B),image_637364955e_bool(F,A)))|hBOOL(hAPP_f448129468l_bool(finite_finite_int,$f41(F,A,B))).
% 15.63/15.46 0 [] -is_fun1661590463l_bool(B)| -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B))| -hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,B),image_637364955e_bool(F,A)))|B=image_637364955e_bool(F,$f41(F,A,B)).
% 15.63/15.46 0 [] -is_fun949378684l_bool(B)| -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B))| -hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,B),image_int_fun_a_bool(F,A)))|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,$f42(F,A,B)),A)).
% 15.63/15.46 0 [] -is_fun949378684l_bool(B)| -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B))| -hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,B),image_int_fun_a_bool(F,A)))|hBOOL(hAPP_f448129468l_bool(finite_finite_int,$f42(F,A,B))).
% 15.63/15.46 0 [] -is_fun949378684l_bool(B)| -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B))| -hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,B),image_int_fun_a_bool(F,A)))|B=image_int_fun_a_bool(F,$f42(F,A,B)).
% 15.63/15.46 0 [] -is_fun_pname_bool(B)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_int_pname(F,A)))|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,$f43(F,A,B)),A)).
% 15.63/15.46 0 [] -is_fun_pname_bool(B)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_int_pname(F,A)))|hBOOL(hAPP_f448129468l_bool(finite_finite_int,$f43(F,A,B))).
% 15.63/15.46 0 [] -is_fun_pname_bool(B)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_int_pname(F,A)))|B=image_int_pname(F,$f43(F,A,B)).
% 15.63/15.46 0 [] -is_fun_a_bool(B)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_pname_a(F,A)))|is_fun_pname_bool($f44(F,A,B)).
% 15.63/15.46 0 [] -is_fun_a_bool(B)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_pname_a(F,A)))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,$f44(F,A,B)),A)).
% 15.63/15.46 0 [] -is_fun_a_bool(B)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_pname_a(F,A)))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,$f44(F,A,B))).
% 15.63/15.46 0 [] -is_fun_a_bool(B)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_pname_a(F,A)))|B=image_pname_a(F,$f44(F,A,B)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,B))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),image_nat_int(F,A)))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,$f45(F,A,B)),A)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,B))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),image_nat_int(F,A)))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,$f45(F,A,B))).
% 15.63/15.46 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,B))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),image_nat_int(F,A)))|B=image_nat_int(F,$f45(F,A,B)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_n1025906991e_bool(F,$f46(Na,N_3,F))),hAPP_n1025906991e_bool(F,hAPP_nat_nat(suc,$f46(Na,N_3,F)))))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Na),N_3))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_n1025906991e_bool(F,Na)),hAPP_n1025906991e_bool(F,N_3))).
% 15.63/15.46 0 [] -hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,hAPP_nat_bool(F,$f47(Na,N_3,F))),hAPP_nat_bool(F,hAPP_nat_nat(suc,$f47(Na,N_3,F)))))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Na),N_3))|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,hAPP_nat_bool(F,Na)),hAPP_nat_bool(F,N_3))).
% 15.63/15.46 0 [] -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_nat_fun_a_bool(F,$f48(Na,N_3,F))),hAPP_nat_fun_a_bool(F,hAPP_nat_nat(suc,$f48(Na,N_3,F)))))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Na),N_3))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_nat_fun_a_bool(F,Na)),hAPP_nat_fun_a_bool(F,N_3))).
% 15.63/15.46 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(F,$f49(Na,N_3,F))),hAPP_nat_nat(F,hAPP_nat_nat(suc,$f49(Na,N_3,F)))))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Na),N_3))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(F,Na)),hAPP_nat_nat(F,N_3))).
% 15.63/15.46 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(F,$f50(Na,N_3,F))),hAPP_nat_int(F,hAPP_nat_nat(suc,$f50(Na,N_3,F)))))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Na),N_3))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(F,Na)),hAPP_nat_int(F,N_3))).
% 15.63/15.46 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_n1699378549t_bool(F,$f51(Na,N_3,F))),hAPP_n1699378549t_bool(F,hAPP_nat_nat(suc,$f51(Na,N_3,F)))))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Na),N_3))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_n1699378549t_bool(F,Na)),hAPP_n1699378549t_bool(F,N_3))).
% 15.63/15.46 0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,hAPP_n1082236369t_bool(F,$f52(Na,N_3,F))),hAPP_n1082236369t_bool(F,hAPP_nat_nat(suc,$f52(Na,N_3,F)))))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Na),N_3))|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,hAPP_n1082236369t_bool(F,Na)),hAPP_n1082236369t_bool(F,N_3))).
% 15.63/15.46 0 [] hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))| -hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,image_1556378401t_bool(F,A)))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f53(F,A)),A)).
% 15.63/15.46 0 [] hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))| -hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,image_1556378401t_bool(F,A)))| -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),A)),hAPP_f274826591t_bool(cOMBC_620423604l_bool(cOMBB_1123824708ol_nat(fe_qual_fun_int_bool,F)),hAPP_n1082236369t_bool(F,$f53(F,A))))))).
% 15.63/15.46 0 [] hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))| -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_26036933t_bool(F,A)))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f54(F,A)),A)).
% 15.63/15.46 0 [] hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))| -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_26036933t_bool(F,A)))| -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),A)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(cOMBB_2026977092ol_nat(fe_qual_fun_nat_bool,F)),hAPP_n1699378549t_bool(F,$f54(F,A))))))).
% 15.63/15.46 0 [] hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))| -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_1655916159e_bool(F,A)))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f55(F,A)),A)).
% 15.63/15.46 0 [] hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))| -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_1655916159e_bool(F,A)))| -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),A)),hAPP_f1066163005t_bool(cOMBC_386238098l_bool(cOMBB_2117322052ol_nat(fe_qual533582459e_bool,F)),hAPP_n1025906991e_bool(F,$f55(F,A))))))).
% 15.63/15.46 0 [] hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))| -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_nat_fun_a_bool(F,A)))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f56(F,A)),A)).
% 15.63/15.46 0 [] hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))| -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_nat_fun_a_bool(F,A)))| -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),A)),hAPP_f282463732t_bool(cOMBC_1928494297l_bool(cOMBB_1823939024ol_nat(fe_qual_fun_a_bool,F)),hAPP_nat_fun_a_bool(F,$f56(F,A))))))).
% 15.63/15.46 0 [] hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_int_a(F,A)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f57(F,A)),A)).
% 15.63/15.46 0 [] hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_int_a(F,A)))| -hBOOL(hAPP_f448129468l_bool(finite_finite_int,collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fconj,hAPP_f1805168059t_bool(cOMBC_94739984l_bool(member_int),A)),hAPP_a_fun_int_bool(cOMBC_int_a_bool(cOMBB_375279840ol_int(fe_qual_a,F)),hAPP_int_a(F,$f57(F,A))))))).
% 15.63/15.46 0 [] hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))| -hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,image_275383677t_bool(F,A)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f58(F,A)),A)).
% 15.63/15.46 0 [] hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))| -hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,image_275383677t_bool(F,A)))| -hBOOL(hAPP_f448129468l_bool(finite_finite_int,collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fconj,hAPP_f1805168059t_bool(cOMBC_94739984l_bool(member_int),A)),hAPP_f1805168059t_bool(cOMBC_94739984l_bool(cOMBB_1761098400ol_int(fe_qual_fun_int_bool,F)),hAPP_i1948725293t_bool(F,$f58(F,A))))))).
% 15.63/15.46 0 [] hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))| -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_892525857t_bool(F,A)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f59(F,A)),A)).
% 15.63/15.46 0 [] hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))| -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_892525857t_bool(F,A)))| -hBOOL(hAPP_f448129468l_bool(finite_finite_int,collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fconj,hAPP_f1805168059t_bool(cOMBC_94739984l_bool(member_int),A)),hAPP_f183368031t_bool(cOMBC_1848398772l_bool(cOMBB_516767136ol_int(fe_qual_fun_nat_bool,F)),hAPP_i418383825t_bool(F,$f59(F,A))))))).
% 15.63/15.46 0 [] hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))| -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_637364955e_bool(F,A)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f60(F,A)),A)).
% 15.63/15.46 0 [] hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))| -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_637364955e_bool(F,A)))| -hBOOL(hAPP_f448129468l_bool(finite_finite_int,collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fconj,hAPP_f1805168059t_bool(cOMBC_94739984l_bool(member_int),A)),hAPP_f449020825t_bool(cOMBC_316919022l_bool(cOMBB_607112096ol_int(fe_qual533582459e_bool,F)),hAPP_i7355787e_bool(F,$f60(F,A))))))).
% 15.63/15.46 0 [] hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))| -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_int_fun_a_bool(F,A)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f61(F,A)),A)).
% 15.63/15.46 0 [] hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))| -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_int_fun_a_bool(F,A)))| -hBOOL(hAPP_f448129468l_bool(finite_finite_int,collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fconj,hAPP_f1805168059t_bool(cOMBC_94739984l_bool(member_int),A)),hAPP_f1812805200t_bool(cOMBC_1753430397l_bool(cOMBB_313729068ol_int(fe_qual_fun_a_bool,F)),hAPP_int_fun_a_bool(F,$f61(F,A))))))).
% 15.63/15.46 0 [] hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_pname_a(F,A)))|is_pname($f62(F,A)).
% 15.63/15.46 0 [] hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_pname_a(F,A)))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,$f62(F,A)),A)).
% 15.63/15.46 0 [] hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_pname_a(F,A)))| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),A)),hAPP_a93125764e_bool(cOMBC_pname_a_bool(cOMBB_1897541054_pname(fe_qual_a,F)),hAPP_pname_a(F,$f62(F,A))))))).
% 15.63/15.46 0 [] hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))| -hBOOL(hAPP_f448129468l_bool(finite_finite_int,image_nat_int(F,A)))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f63(F,A)),A)).
% 15.63/15.46 0 [] hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))| -hBOOL(hAPP_f448129468l_bool(finite_finite_int,image_nat_int(F,A)))| -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),A)),hAPP_i418383825t_bool(cOMBC_nat_int_bool(cOMBB_1628441366ol_nat(fe_qual_int,F)),hAPP_nat_int(F,$f63(F,A))))))).
% 15.63/15.46 0 [] B_3!=hAPP_nat_int(F,X_1)| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,B_3),image_nat_int(F,A))).
% 15.63/15.46 0 [] B_3!=hAPP_pname_a(F,X_1)| -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,B_3),image_pname_a(F,A))).
% 15.63/15.46 0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),A))|A=B.
% 15.63/15.46 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),A))|A=B.
% 15.63/15.46 0 [] -is_fun_a_bool(A)| -is_fun_a_bool(B)| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),A))|A=B.
% 15.63/15.46 0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,C_6),A))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,C_6),B)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_6),A))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_6),B)).
% 15.63/15.46 0 [] -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,C_6),A))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,C_6),B)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B))| -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C_6),A))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C_6),B)).
% 15.63/15.46 0 [] -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_2),B))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_2),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,B_3),B))).
% 15.63/15.46 0 [] A_2!=B_3|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_2),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,B_3),B))).
% 15.63/15.46 0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_2),B))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_2),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,B_3),B))).
% 15.63/15.46 0 [] A_2!=B_3|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_2),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,B_3),B))).
% 15.63/15.46 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_2),B))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_2),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,B_3),B))).
% 15.63/15.46 0 [] A_2!=B_3|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_2),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,B_3),B))).
% 15.63/15.46 0 [] -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_2),B))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,B_3),B))).
% 15.63/15.46 0 [] A_2!=B_3|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,B_3),B))).
% 15.63/15.46 0 [] -is_a(A_2)| -is_a(B_3)| -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_2),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,B_3),A)))|A_2=B_3|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_2),A)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_2),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,B_3),A)))|A_2=B_3|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_2),A)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_2),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,B_3),A)))|A_2=B_3|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_2),A)).
% 15.63/15.46 0 [] -is_pname(A_2)| -is_pname(B_3)| -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,B_3),A)))|A_2=B_3|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_2),A)).
% 15.63/15.46 0 [] -hBOOL(hAPP_nat_bool(Pa,K))|hBOOL(hAPP_nat_bool(Pa,hAPP_nat_nat(suc,$f64(I_2,Pa,K))))|hBOOL(hAPP_nat_bool(Pa,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,K),I_2))).
% 15.63/15.46 0 [] -hBOOL(hAPP_nat_bool(Pa,K))| -hBOOL(hAPP_nat_bool(Pa,$f64(I_2,Pa,K)))|hBOOL(hAPP_nat_bool(Pa,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,K),I_2))).
% 15.63/15.46 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,N)),M_4))|M_4=hAPP_nat_nat(suc,$f65(N,M_4)).
% 15.63/15.46 0 [] hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,X_1),X_1)).
% 15.63/15.46 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_1),X_1)).
% 15.63/15.46 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_11),X_11)).
% 15.63/15.46 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_11),X_11)).
% 15.63/15.46 0 [] hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X_1),X_1)).
% 15.63/15.46 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_10),Y_9))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_9),X_10)).
% 15.63/15.46 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_10),Y_9))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_9),X_10)).
% 15.63/15.46 0 [] X_1!=Y_1|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,X_1),Y_1)).
% 15.63/15.46 0 [] X_1!=Y_1|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Y_1),X_1)).
% 15.63/15.46 0 [] X_1=Y_1| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,X_1),Y_1))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Y_1),X_1)).
% 15.63/15.46 0 [] X_1!=Y_1|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_1),Y_1)).
% 15.63/15.46 0 [] X_1!=Y_1|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Y_1),X_1)).
% 15.63/15.46 0 [] X_1=Y_1| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_1),Y_1))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Y_1),X_1)).
% 15.63/15.46 0 [] X_1!=Y_1|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_1)).
% 15.63/15.46 0 [] X_1!=Y_1|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_1),X_1)).
% 15.63/15.46 0 [] X_1=Y_1| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_1),X_1)).
% 15.63/15.46 0 [] X_1!=Y_1|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_1)).
% 15.63/15.46 0 [] X_1!=Y_1|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_1),X_1)).
% 15.63/15.46 0 [] X_1=Y_1| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_1),X_1)).
% 15.63/15.46 0 [] -is_fun_a_bool(X_1)| -is_fun_a_bool(Y_1)|X_1!=Y_1|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X_1),Y_1)).
% 15.63/15.46 0 [] -is_fun_a_bool(X_1)| -is_fun_a_bool(Y_1)|X_1!=Y_1|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,Y_1),X_1)).
% 15.63/15.46 0 [] -is_fun_a_bool(X_1)| -is_fun_a_bool(Y_1)|X_1=Y_1| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X_1),Y_1))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,Y_1),X_1)).
% 15.63/15.46 0 [] X_1!=Y_1|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,X_1),Y_1)).
% 15.63/15.46 0 [] X_1!=Y_1|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_1),Y_1)).
% 15.63/15.46 0 [] X_9!=Y_8|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_9),Y_8)).
% 15.63/15.46 0 [] X_9!=Y_8|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_9),Y_8)).
% 15.63/15.46 0 [] X_1!=Y_1|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X_1),Y_1)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Y_1),X_1))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,X_1),Y_1))|X_1=Y_1.
% 15.63/15.46 0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Y_1),X_1))|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,X_1),Y_1))|X_1!=Y_1.
% 15.63/15.46 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Y_1),X_1))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_1),Y_1))|X_1=Y_1.
% 15.63/15.46 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Y_1),X_1))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_1),Y_1))|X_1!=Y_1.
% 15.63/15.46 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_1),X_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_1))|X_1=Y_1.
% 15.63/15.46 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_1),X_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_1))|X_1!=Y_1.
% 15.63/15.46 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_1),X_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_1))|X_1=Y_1.
% 15.63/15.46 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_1),X_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_1))|X_1!=Y_1.
% 15.63/15.46 0 [] -is_fun_a_bool(Y_1)| -is_fun_a_bool(X_1)| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,Y_1),X_1))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X_1),Y_1))|X_1=Y_1.
% 15.63/15.46 0 [] -is_fun_a_bool(Y_1)| -is_fun_a_bool(X_1)| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,Y_1),X_1))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X_1),Y_1))|X_1!=Y_1.
% 15.63/15.46 0 [] A_2!=B_3| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B_3),C_6))|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A_2),C_6)).
% 15.63/15.46 0 [] A_2!=B_3| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_3),C_6))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_2),C_6)).
% 15.63/15.46 0 [] A_21!=B_19| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_19),C_15))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_21),C_15)).
% 15.63/15.46 0 [] A_21!=B_19| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_19),C_15))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_21),C_15)).
% 15.63/15.46 0 [] A_2!=B_3| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_3),C_6))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_2),C_6)).
% 15.63/15.46 0 [] A_2!=B_3| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,C_6),B_3))|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,C_6),A_2)).
% 15.63/15.46 0 [] A_2!=B_3| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,C_6),B_3))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,C_6),A_2)).
% 15.63/15.46 0 [] A_20!=B_18| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_14),B_18))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_14),A_20)).
% 15.63/15.46 0 [] A_20!=B_18| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_14),B_18))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_14),A_20)).
% 15.63/15.46 0 [] A_2!=B_3| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,C_6),B_3))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,C_6),A_2)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A_2),B_3))|B_3!=C_6|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A_2),C_6)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_2),B_3))|B_3!=C_6|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_2),C_6)).
% 15.63/15.46 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_19),B_17))|B_17!=C_13|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_19),C_13)).
% 15.63/15.46 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_19),B_17))|B_17!=C_13|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_19),C_13)).
% 15.63/15.46 0 [] -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_2),B_3))|B_3!=C_6|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_2),C_6)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B_3),A_2))|B_3!=C_6|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,C_6),A_2)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_3),A_2))|B_3!=C_6|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,C_6),A_2)).
% 15.63/15.46 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_16),A_18))|B_16!=C_12|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_12),A_18)).
% 15.63/15.46 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_16),A_18))|B_16!=C_12|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_12),A_18)).
% 15.63/15.46 0 [] -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_3),A_2))|B_3!=C_6|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,C_6),A_2)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,X_1),Y_1))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Y_1),X_1))|X_1=Y_1.
% 15.63/15.46 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_1),Y_1))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Y_1),X_1))|X_1=Y_1.
% 15.63/15.46 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_8),Y_7))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_7),X_8))|X_8=Y_7.
% 15.63/15.46 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_8),Y_7))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_7),X_8))|X_8=Y_7.
% 15.63/15.46 0 [] -is_fun_a_bool(X_1)| -is_fun_a_bool(Y_1)| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X_1),Y_1))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,Y_1),X_1))|X_1=Y_1.
% 15.63/15.46 0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,X_1),Y_1))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Y_1),Z_2))|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,X_1),Z_2)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_1),Y_1))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Y_1),Z_2))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_1),Z_2)).
% 15.63/15.46 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_7),Y_6))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_6),Z_6))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_7),Z_6)).
% 15.63/15.46 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_7),Y_6))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_6),Z_6))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_7),Z_6)).
% 15.63/15.46 0 [] -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X_1),Y_1))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,Y_1),Z_2))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X_1),Z_2)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Y_1),X_1))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,X_1),Y_1))|X_1=Y_1.
% 15.63/15.46 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Y_1),X_1))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_1),Y_1))|X_1=Y_1.
% 15.63/15.46 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_5),X_6))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_6),Y_5))|X_6=Y_5.
% 15.63/15.46 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_5),X_6))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_6),Y_5))|X_6=Y_5.
% 15.63/15.46 0 [] -is_fun_a_bool(Y_1)| -is_fun_a_bool(X_1)| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,Y_1),X_1))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X_1),Y_1))|X_1=Y_1.
% 15.63/15.46 0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Y_1),X_1))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Z_2),Y_1))|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Z_2),X_1)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Y_1),X_1))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Z_2),Y_1))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Z_2),X_1)).
% 15.63/15.46 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_4),X_5))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z_5),Y_4))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z_5),X_5)).
% 15.63/15.46 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_4),X_5))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Z_5),Y_4))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Z_5),X_5)).
% 15.63/15.46 0 [] -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,Y_1),X_1))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,Z_2),Y_1))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,Z_2),X_1)).
% 15.63/15.46 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_4),Y_3))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_3),X_4)).
% 15.63/15.46 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_4),Y_3))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_3),X_4)).
% 15.63/15.46 0 [] hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_2),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),B))).
% 15.63/15.46 0 [] hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_2),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),B))).
% 15.63/15.46 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_2),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),B))).
% 15.63/15.46 0 [] hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A_2),B))).
% 15.63/15.46 0 [] hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),B)=collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fe_qual_a),A_2)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),B))).
% 15.63/15.46 0 [] hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),B)=collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fdisj,hAPP_i1948725293t_bool(cOMBC_int_int_bool(fe_qual_int),A_2)),hAPP_f1805168059t_bool(cOMBC_94739984l_bool(member_int),B))).
% 15.63/15.46 0 [] hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),B)=collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fe_qual_nat),A_2)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),B))).
% 15.63/15.46 0 [] hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A_2),B)=collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fe_qual_pname),A_2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),B))).
% 15.63/15.46 0 [] hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),collect_a(Pa))=collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fimplies,cOMBB_bool_bool_a(fNot,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fe_qual_a),A_2))),Pa)).
% 15.63/15.46 0 [] hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),collect_int(Pa))=collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fimplies,cOMBB_bool_bool_int(fNot,hAPP_i1948725293t_bool(cOMBC_int_int_bool(fe_qual_int),A_2))),Pa)).
% 15.63/15.46 0 [] hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),collect_nat(Pa))=collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fimplies,cOMBB_bool_bool_nat(fNot,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fe_qual_nat),A_2))),Pa)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A))|hBOOL(hAPP_int_bool(A,X_1)).
% 15.63/15.46 0 [] hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A))| -hBOOL(hAPP_int_bool(A,X_1)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))|hBOOL(hAPP_nat_bool(A,X_1)).
% 15.63/15.46 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))| -hBOOL(hAPP_nat_bool(A,X_1)).
% 15.63/15.46 0 [] -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A))|hBOOL(hAPP_a_bool(A,X_1)).
% 15.63/15.46 0 [] hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A))| -hBOOL(hAPP_a_bool(A,X_1)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))|hBOOL(hAPP_pname_bool(A,X_1)).
% 15.63/15.46 0 [] hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))| -hBOOL(hAPP_pname_bool(A,X_1)).
% 15.63/15.46 0 [] collect_int(Pa)=Pa.
% 15.63/15.46 0 [] collect_nat(Pa)=Pa.
% 15.63/15.46 0 [] hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),A))=hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),A).
% 15.63/15.46 0 [] hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,Y_1),A))=hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,Y_1),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),A)).
% 15.63/15.46 0 [] -is_a(A_2)| -is_a(B_3)| -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_2),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,B_3),A)))|A_2=B_3|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_2),A)).
% 15.63/15.46 0 [] -is_a(A_2)| -is_a(B_3)|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_2),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,B_3),A)))|A_2!=B_3.
% 15.63/15.46 0 [] -is_a(A_2)| -is_a(B_3)|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_2),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,B_3),A)))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_2),A)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_2),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,B_3),A)))|A_2=B_3|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_2),A)).
% 15.63/15.46 0 [] hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_2),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,B_3),A)))|A_2!=B_3.
% 15.63/15.46 0 [] hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_2),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,B_3),A)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_2),A)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_2),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,B_3),A)))|A_2=B_3|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_2),A)).
% 15.63/15.46 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_2),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,B_3),A)))|A_2!=B_3.
% 15.63/15.46 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_2),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,B_3),A)))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_2),A)).
% 15.63/15.46 0 [] -is_pname(A_2)| -is_pname(B_3)| -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,B_3),A)))|A_2=B_3|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_2),A)).
% 15.63/15.46 0 [] -is_pname(A_2)| -is_pname(B_3)|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,B_3),A)))|A_2!=B_3.
% 15.63/15.46 0 [] -is_pname(A_2)| -is_pname(B_3)|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,B_3),A)))| -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_2),A)).
% 15.63/15.46 0 [] -is_a(Y_1)| -is_a(X_1)| -hBOOL(hAPP_a_bool(hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,Y_1),A),X_1))|Y_1=X_1|hBOOL(hAPP_a_bool(A,X_1)).
% 15.63/15.46 0 [] -is_a(Y_1)| -is_a(X_1)|hBOOL(hAPP_a_bool(hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,Y_1),A),X_1))|Y_1!=X_1.
% 15.63/15.46 0 [] -is_a(Y_1)| -is_a(X_1)|hBOOL(hAPP_a_bool(hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,Y_1),A),X_1))| -hBOOL(hAPP_a_bool(A,X_1)).
% 15.63/15.46 0 [] -is_fun_a_bool(B)| -is_fun_a_bool(A)|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),B))|hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),A)!=hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),B)|A=B.
% 15.63/15.46 0 [] -is_fun_a_bool(B)| -is_fun_a_bool(A)|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),B))|hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),A)=hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),B)|A!=B.
% 15.63/15.46 0 [] hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),B))|hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),A)!=hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),B)|A=B.
% 15.63/15.46 0 [] hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),B))|hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),A)=hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),B)|A!=B.
% 15.63/15.46 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),B))|hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),A)!=hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),B)|A=B.
% 15.63/15.46 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),B))|hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),A)=hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),B)|A!=B.
% 15.63/15.46 0 [] -is_fun_pname_bool(B)| -is_fun_pname_bool(A)|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),B))|hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),A)!=hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),B)|A=B.
% 15.63/15.46 0 [] -is_fun_pname_bool(B)| -is_fun_pname_bool(A)|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),B))|hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),A)=hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),B)|A!=B.
% 15.63/15.46 0 [] -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_2),B))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_2),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,B_3),B))).
% 15.63/15.46 0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_2),B))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_2),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,B_3),B))).
% 15.63/15.46 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_2),B))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_2),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,B_3),B))).
% 15.63/15.46 0 [] -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_2),B))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,B_3),B))).
% 15.63/15.46 0 [] -is_fun_a_bool(A)| -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_2),A))|hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),A)=A.
% 15.63/15.46 0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_2),A))|hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),A)=A.
% 15.63/15.46 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_2),A))|hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),A)=A.
% 15.63/15.46 0 [] -is_fun_pname_bool(A)| -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_2),A))|hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A_2),A)=A.
% 15.63/15.46 0 [] hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),A)).
% 15.63/15.46 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),A)).
% 15.63/15.46 0 [] hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),A)).
% 15.63/15.46 0 [] A!=B|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B)).
% 15.63/15.46 0 [] A!=B|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),A)).
% 15.63/15.46 0 [] A=B| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),A)).
% 15.63/15.46 0 [] A!=B|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B)).
% 15.63/15.46 0 [] A!=B|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),A)).
% 15.63/15.46 0 [] A=B| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),A)).
% 15.63/15.46 0 [] -is_fun_a_bool(A)| -is_fun_a_bool(B)|A!=B|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B)).
% 15.63/15.46 0 [] -is_fun_a_bool(A)| -is_fun_a_bool(B)|A!=B|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),A)).
% 15.63/15.46 0 [] -is_fun_a_bool(A)| -is_fun_a_bool(B)|A=B| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),A)).
% 15.63/15.46 0 [] A!=B|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B)).
% 15.63/15.46 0 [] A!=B|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B)).
% 15.63/15.46 0 [] A!=B|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B)).
% 15.63/15.46 0 [] A!=B|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),A)).
% 15.63/15.46 0 [] A!=B|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),A)).
% 15.63/15.46 0 [] A!=B|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),A)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),B)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),B)).
% 15.63/15.46 0 [] -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),B)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B))| -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),B)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),B)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),B)).
% 15.63/15.46 0 [] -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),B)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),B)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),B)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),B)).
% 15.63/15.46 0 [] -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),B)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B))| -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),B)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),C_11))|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),C_11)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),C_11))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),C_11)).
% 15.63/15.46 0 [] -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),C_11))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),C_11)).
% 15.63/15.46 0 [] A!=B|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B)).
% 15.63/15.46 0 [] A!=B|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),A)).
% 15.63/15.46 0 [] A!=B|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B)).
% 15.63/15.46 0 [] A!=B|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),A)).
% 15.63/15.46 0 [] A!=B|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B)).
% 15.63/15.46 0 [] A!=B|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),A)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Z_2),image_nat_int(F,A)))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f66(Z_2,F,A)),A)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Z_2),image_nat_int(F,A)))|Z_2=hAPP_nat_int(F,$f66(Z_2,F,A)).
% 15.63/15.46 0 [] hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Z_2),image_nat_int(F,A)))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),A))|Z_2!=hAPP_nat_int(F,X_2).
% 15.63/15.46 0 [] -is_a(Z_2)| -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,Z_2),image_pname_a(F,A)))|is_pname($f67(Z_2,F,A)).
% 15.63/15.46 0 [] -is_a(Z_2)| -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,Z_2),image_pname_a(F,A)))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,$f67(Z_2,F,A)),A)).
% 15.63/15.46 0 [] -is_a(Z_2)| -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,Z_2),image_pname_a(F,A)))|Z_2=hAPP_pname_a(F,$f67(Z_2,F,A)).
% 15.63/15.46 0 [] -is_a(Z_2)|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,Z_2),image_pname_a(F,A)))| -is_pname(X_2)| -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),A))|Z_2!=hAPP_pname_a(F,X_2).
% 15.63/15.46 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(F,X_1)),image_nat_int(F,A))).
% 15.63/15.46 0 [] -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(F,X_1)),image_pname_a(F,A))).
% 15.63/15.46 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))|B_3!=hAPP_nat_int(F,X_1)|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,B_3),image_nat_int(F,A))).
% 15.63/15.46 0 [] -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))|B_3!=hAPP_pname_a(F,X_1)|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,B_3),image_pname_a(F,A))).
% 15.63/15.46 0 [] hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_2),Xa)=collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fe_qual_a),X_2)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),Xa))).
% 15.63/15.46 0 [] hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_2),Xa)=collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fdisj,hAPP_i1948725293t_bool(cOMBC_int_int_bool(fe_qual_int),X_2)),hAPP_f1805168059t_bool(cOMBC_94739984l_bool(member_int),Xa))).
% 15.63/15.46 0 [] hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_2),Xa)=collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fe_qual_nat),X_2)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),Xa))).
% 15.63/15.46 0 [] hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_2),Xa)=collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fe_qual_pname),X_2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),Xa))).
% 15.63/15.46 0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,F),G_1))|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,hAPP_int_bool(F,X_2)),hAPP_int_bool(G_1,X_2))).
% 15.63/15.46 0 [] hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,F),G_1))| -hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,hAPP_int_bool(F,$f68(F,G_1))),hAPP_int_bool(G_1,$f68(F,G_1)))).
% 15.63/15.46 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,F),G_1))|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,hAPP_nat_bool(F,X_2)),hAPP_nat_bool(G_1,X_2))).
% 15.63/15.46 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,F),G_1))| -hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,hAPP_nat_bool(F,$f69(F,G_1))),hAPP_nat_bool(G_1,$f69(F,G_1)))).
% 15.63/15.46 0 [] -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,F),G_1))| -is_a(X_2)|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,hAPP_a_bool(F,X_2)),hAPP_a_bool(G_1,X_2))).
% 15.63/15.46 0 [] hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,F),G_1))|is_a($f70(F,G_1)).
% 15.63/15.46 0 [] hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,F),G_1))| -hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,hAPP_a_bool(F,$f70(F,G_1))),hAPP_a_bool(G_1,$f70(F,G_1)))).
% 15.63/15.46 0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,F),G_1))|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,hAPP_int_bool(F,X_1)),hAPP_int_bool(G_1,X_1))).
% 15.63/15.46 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,F),G_1))|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,hAPP_nat_bool(F,X_1)),hAPP_nat_bool(G_1,X_1))).
% 15.63/15.46 0 [] -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,F),G_1))|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,hAPP_a_bool(F,X_1)),hAPP_a_bool(G_1,X_1))).
% 15.63/15.46 0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,F),G_1))|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,hAPP_int_bool(F,X_1)),hAPP_int_bool(G_1,X_1))).
% 15.63/15.46 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,F),G_1))|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,hAPP_nat_bool(F,X_1)),hAPP_nat_bool(G_1,X_1))).
% 15.63/15.46 0 [] -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,F),G_1))|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,hAPP_a_bool(F,X_1)),hAPP_a_bool(G_1,X_1))).
% 15.63/15.46 0 [] hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),B))).
% 15.63/15.46 0 [] hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),B))).
% 15.63/15.46 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),B))).
% 15.63/15.46 0 [] -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),A)),B))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),B)).
% 15.63/15.46 0 [] -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),A)),B))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B)).
% 15.63/15.46 0 [] hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),A)),B))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),B))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),A)),B))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),B)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),A)),B))|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B)).
% 15.63/15.46 0 [] hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),A)),B))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),B))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),A)),B))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),B)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),A)),B))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B)).
% 15.63/15.46 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),A)),B))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),B))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),A)),B))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),B)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),A)),B))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B)).
% 15.63/15.46 0 [] hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),A)),B))| -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),B))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B)).
% 15.63/15.46 0 [] hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),B)))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B)).
% 15.63/15.46 0 [] hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),B)))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B)).
% 15.63/15.46 0 [] hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),B)))|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B)).
% 15.63/15.46 0 [] hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A))|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),B)))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B)).
% 15.63/15.46 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),B)))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B)).
% 15.63/15.46 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),B)))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B)).
% 15.63/15.46 0 [] hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),B)))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B)).
% 15.63/15.46 0 [] hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),B)))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B)).
% 15.63/15.46 0 [] -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,B_3),B))).
% 15.63/15.46 0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B))|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,B_3),B))).
% 15.63/15.46 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,B_3),B))).
% 15.63/15.46 0 [] -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,C_11),D_4))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),C_11)),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),D_4))).
% 15.63/15.46 0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,C_11),D_4))|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),C_11)),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),D_4))).
% 15.63/15.46 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,C_11),D_4))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),C_11)),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),D_4))).
% 15.63/15.46 0 [] image_nat_int(F,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),B))=hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,hAPP_nat_int(F,A_2)),image_nat_int(F,B)).
% 15.63/15.46 0 [] image_pname_a(F,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A_2),B))=hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,hAPP_pname_a(F,A_2)),image_pname_a(F,B)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))|hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,hAPP_nat_int(F,X_1)),image_nat_int(F,A))=image_nat_int(F,A).
% 15.63/15.46 0 [] -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))|hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,hAPP_pname_a(F,X_1)),image_pname_a(F,A))=image_pname_a(F,A).
% 15.63/15.46 0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),image_nat_int(F,A)))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,$f71(B,F,A)),A)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),image_nat_int(F,A)))|B=image_nat_int(F,$f71(B,F,A)).
% 15.63/15.46 0 [] hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),image_nat_int(F,A)))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,AA),A))|B!=image_nat_int(F,AA).
% 15.63/15.46 0 [] -is_fun_a_bool(B)| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_pname_a(F,A)))|is_fun_pname_bool($f72(B,F,A)).
% 15.63/15.46 0 [] -is_fun_a_bool(B)| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_pname_a(F,A)))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,$f72(B,F,A)),A)).
% 15.63/15.46 0 [] -is_fun_a_bool(B)| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_pname_a(F,A)))|B=image_pname_a(F,$f72(B,F,A)).
% 15.63/15.46 0 [] -is_fun_a_bool(B)|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_pname_a(F,A)))| -is_fun_pname_bool(AA)| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,AA),A))|B!=image_pname_a(F,AA).
% 15.63/15.46 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(F,A)),image_nat_int(F,B))).
% 15.63/15.46 0 [] -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,image_pname_a(F,A)),image_pname_a(F,B))).
% 15.63/15.46 0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,B_3),image_nat_int(F,A)))|B_3=hAPP_nat_int(F,$f73(B_3,F,A)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,B_3),image_nat_int(F,A)))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f73(B_3,F,A)),A)).
% 15.63/15.46 0 [] -is_a(B_3)| -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,B_3),image_pname_a(F,A)))|is_pname($f74(B_3,F,A)).
% 15.63/15.46 0 [] -is_a(B_3)| -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,B_3),image_pname_a(F,A)))|B_3=hAPP_pname_a(F,$f74(B_3,F,A)).
% 15.63/15.46 0 [] -is_a(B_3)| -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,B_3),image_pname_a(F,A)))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,$f74(B_3,F,A)),A)).
% 15.63/15.46 0 [] hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f75(B,A)),A))|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f75(B,A)),B))|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B)).
% 15.63/15.46 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f76(B,A)),A))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f76(B,A)),B))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B)).
% 15.63/15.46 0 [] is_a($f77(B,A))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B)).
% 15.63/15.46 0 [] hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,$f77(B,A)),A))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B)).
% 15.63/15.46 0 [] -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,$f77(B,A)),B))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B)).
% 15.63/15.46 0 [] is_pname($f78(B,A))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B)).
% 15.63/15.46 0 [] hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,$f78(B,A)),A))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,$f78(B,A)),B))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B)).
% 15.63/15.46 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f79(F,B,A)),A))|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,image_nat_int(F,A)),B)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_nat_int(F,$f79(F,B,A))),B))|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,image_nat_int(F,A)),B)).
% 15.63/15.46 0 [] is_pname($f80(F,B,A))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,image_pname_a(F,A)),B)).
% 15.63/15.46 0 [] hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,$f80(F,B,A)),A))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,image_pname_a(F,A)),B)).
% 15.63/15.46 0 [] -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(F,$f80(F,B,A))),B))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,image_pname_a(F,A)),B)).
% 15.63/15.46 0 [] -hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,hAPP_int_bool(F,$f81(F,G_1))),hAPP_int_bool(G_1,$f81(F,G_1))))|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,F),G_1)).
% 15.63/15.46 0 [] -hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,hAPP_nat_bool(F,$f82(F,G_1))),hAPP_nat_bool(G_1,$f82(F,G_1))))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,F),G_1)).
% 15.63/15.46 0 [] is_a($f83(F,G_1))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,F),G_1)).
% 15.63/15.46 0 [] -hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,hAPP_a_bool(F,$f83(F,G_1))),hAPP_a_bool(G_1,$f83(F,G_1))))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,F),G_1)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,N_2))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),N_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_2),$f84(N_2))).
% 15.63/15.46 0 [] hBOOL(hAPP_f54304608l_bool(finite_finite_nat,N_2))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f85(N_2,M_2)),N_2)).
% 15.63/15.46 0 [] hBOOL(hAPP_f54304608l_bool(finite_finite_nat,N_2))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,$f85(N_2,M_2)),M_2)).
% 15.63/15.46 0 [] -hBOOL(wt(C_6))|is_pname($f86(G,C_6))|hBOOL(hAPP_fun_a_bool_bool(p(G),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,mgt(C_6)),bot_bot_fun_a_bool))).
% 15.63/15.46 0 [] -hBOOL(wt(C_6))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,$f86(G,C_6)),u))|hBOOL(hAPP_fun_a_bool_bool(p(G),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,mgt(C_6)),bot_bot_fun_a_bool))).
% 15.63/15.46 0 [] -hBOOL(wt(C_6))| -hBOOL(hAPP_fun_a_bool_bool(p(G),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,hAPP_pname_a(mgt_call,$f86(G,C_6))),bot_bot_fun_a_bool)))|hBOOL(hAPP_fun_a_bool_bool(p(G),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,mgt(C_6)),bot_bot_fun_a_bool))).
% 15.63/15.46 0 [] hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_2),B_3)!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,C_6),D_1)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_2),B_3))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_6),D_1)).
% 15.63/15.46 0 [] hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_2),B_3)!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,C_6),D_1)|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_2),B_3))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_6),D_1)).
% 15.63/15.46 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,M)),Na))|hBOOL(hAPP_nat_bool(nat_case_bool(fFalse,hAPP_n1699378549t_bool(ord_less_e_q_nat,M)),Na)).
% 15.63/15.46 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,M)),Na))| -hBOOL(hAPP_nat_bool(nat_case_bool(fFalse,hAPP_n1699378549t_bool(ord_less_e_q_nat,M)),Na)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_2),bot_bot_fun_int_bool)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_2),bot_bot_fun_nat_bool)).
% 15.63/15.46 0 [] -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_2),bot_bot_fun_a_bool)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_2),bot_bo844097828e_bool)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))|hBOOL(hAPP_f448129468l_bool(finite_finite_int,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),B))).
% 15.63/15.46 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B))).
% 15.63/15.46 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),B))).
% 15.63/15.46 0 [] hBOOL(hAPP_f448129468l_bool(finite_finite_int,bot_bot_fun_int_bool)).
% 15.63/15.46 0 [] hBOOL(hAPP_f54304608l_bool(finite_finite_nat,bot_bot_fun_nat_bool)).
% 15.63/15.46 0 [] hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,bot_bo844097828e_bool)).
% 15.63/15.46 0 [] hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,bot_bot_fun_a_bool)).
% 15.63/15.46 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,bot_bot_fun_nat_bool),A)).
% 15.63/15.46 0 [] hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,bot_bot_fun_int_bool),A)).
% 15.63/15.46 0 [] hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,bot_bot_fun_a_bool),A)).
% 15.63/15.46 0 [] A!=bot_bot_fun_int_bool| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_2),A)).
% 15.63/15.46 0 [] A!=bot_bot_fun_nat_bool| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_2),A)).
% 15.63/15.46 0 [] A!=bot_bot_fun_a_bool| -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_2),A)).
% 15.63/15.46 0 [] A!=bot_bo844097828e_bool| -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_2),A)).
% 15.63/15.46 0 [] collect_int(Pa)!=bot_bot_fun_int_bool| -hBOOL(hAPP_int_bool(Pa,X_2)).
% 15.63/15.46 0 [] collect_int(Pa)=bot_bot_fun_int_bool|hBOOL(hAPP_int_bool(Pa,$f87(Pa))).
% 15.63/15.46 0 [] collect_nat(Pa)!=bot_bot_fun_nat_bool| -hBOOL(hAPP_nat_bool(Pa,X_2)).
% 15.63/15.46 0 [] collect_nat(Pa)=bot_bot_fun_nat_bool|hBOOL(hAPP_nat_bool(Pa,$f88(Pa))).
% 15.63/15.46 0 [] collect_a(Pa)!=bot_bot_fun_a_bool| -is_a(X_2)| -hBOOL(hAPP_a_bool(Pa,X_2)).
% 15.63/15.46 0 [] collect_a(Pa)=bot_bot_fun_a_bool|is_a($f89(Pa)).
% 15.63/15.46 0 [] collect_a(Pa)=bot_bot_fun_a_bool|hBOOL(hAPP_a_bool(Pa,$f89(Pa))).
% 15.63/15.46 0 [] hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),A)=bot_bot_fun_nat_bool.
% 15.63/15.46 0 [] hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),A)=bot_bot_fun_int_bool.
% 15.63/15.46 0 [] hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),A)=bot_bot_fun_a_bool.
% 15.63/15.46 0 [] hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),bot_bot_fun_nat_bool)=A.
% 15.63/15.46 0 [] hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),bot_bot_fun_int_bool)=A.
% 15.63/15.46 0 [] -is_fun_a_bool(A)|hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),bot_bot_fun_a_bool)=A.
% 15.63/15.46 0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,C_6),bot_bot_fun_int_bool)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_6),bot_bot_fun_nat_bool)).
% 15.63/15.46 0 [] -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,C_6),bot_bot_fun_a_bool)).
% 15.63/15.46 0 [] -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C_6),bot_bo844097828e_bool)).
% 15.63/15.46 0 [] bot_bot_fun_int_bool!=collect_int(Pa)| -hBOOL(hAPP_int_bool(Pa,X_2)).
% 15.63/15.46 0 [] bot_bot_fun_int_bool=collect_int(Pa)|hBOOL(hAPP_int_bool(Pa,$f90(Pa))).
% 15.63/15.46 0 [] bot_bot_fun_nat_bool!=collect_nat(Pa)| -hBOOL(hAPP_nat_bool(Pa,X_2)).
% 15.63/15.46 0 [] bot_bot_fun_nat_bool=collect_nat(Pa)|hBOOL(hAPP_nat_bool(Pa,$f91(Pa))).
% 15.63/15.46 0 [] bot_bot_fun_a_bool!=collect_a(Pa)| -is_a(X_2)| -hBOOL(hAPP_a_bool(Pa,X_2)).
% 15.63/15.46 0 [] bot_bot_fun_a_bool=collect_a(Pa)|is_a($f92(Pa)).
% 15.63/15.46 0 [] bot_bot_fun_a_bool=collect_a(Pa)|hBOOL(hAPP_a_bool(Pa,$f92(Pa))).
% 15.63/15.46 0 [] hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,bot_bot_fun_nat_bool),A)=bot_bot_fun_nat_bool.
% 15.63/15.46 0 [] hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,bot_bot_fun_int_bool),A)=bot_bot_fun_int_bool.
% 15.63/15.46 0 [] hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,bot_bot_fun_a_bool),A)=bot_bot_fun_a_bool.
% 15.63/15.46 0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),A))|A!=bot_bot_fun_int_bool.
% 15.63/15.46 0 [] hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f93(A)),A))|A=bot_bot_fun_int_bool.
% 15.63/15.46 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),A))|A!=bot_bot_fun_nat_bool.
% 15.63/15.46 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f94(A)),A))|A=bot_bot_fun_nat_bool.
% 15.63/15.46 0 [] -is_fun_a_bool(A)| -is_a(X_2)| -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_2),A))|A!=bot_bot_fun_a_bool.
% 15.63/15.46 0 [] -is_fun_a_bool(A)|is_a($f95(A))|A=bot_bot_fun_a_bool.
% 15.63/15.46 0 [] -is_fun_a_bool(A)|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,$f95(A)),A))|A=bot_bot_fun_a_bool.
% 15.63/15.46 0 [] -is_fun_pname_bool(A)| -is_pname(X_2)| -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),A))|A!=bot_bo844097828e_bool.
% 15.63/15.46 0 [] -is_fun_pname_bool(A)|is_pname($f96(A))|A=bot_bo844097828e_bool.
% 15.63/15.46 0 [] -is_fun_pname_bool(A)|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,$f96(A)),A))|A=bot_bo844097828e_bool.
% 15.63/15.46 0 [] hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f97(A)),A))|A=bot_bot_fun_int_bool.
% 15.63/15.46 0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),A))|A!=bot_bot_fun_int_bool.
% 15.63/15.46 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f98(A)),A))|A=bot_bot_fun_nat_bool.
% 15.63/15.46 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),A))|A!=bot_bot_fun_nat_bool.
% 15.63/15.46 0 [] -is_fun_a_bool(A)|is_a($f99(A))|A=bot_bot_fun_a_bool.
% 15.63/15.46 0 [] -is_fun_a_bool(A)|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,$f99(A)),A))|A=bot_bot_fun_a_bool.
% 15.63/15.46 0 [] -is_fun_a_bool(A)| -is_a(X_2)| -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_2),A))|A!=bot_bot_fun_a_bool.
% 15.63/15.46 0 [] -is_fun_pname_bool(A)|is_pname($f100(A))|A=bot_bo844097828e_bool.
% 15.63/15.46 0 [] -is_fun_pname_bool(A)|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,$f100(A)),A))|A=bot_bo844097828e_bool.
% 15.63/15.46 0 [] -is_fun_pname_bool(A)| -is_pname(X_2)| -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),A))|A!=bot_bo844097828e_bool.
% 15.63/15.46 0 [] -hBOOL(hAPP_nat_bool(bot_bot_fun_nat_bool,X_1))|hBOOL(bot_bot_bool).
% 15.63/15.46 0 [] hBOOL(hAPP_nat_bool(bot_bot_fun_nat_bool,X_1))| -hBOOL(bot_bot_bool).
% 15.63/15.46 0 [] -hBOOL(hAPP_int_bool(bot_bot_fun_int_bool,X_1))|hBOOL(bot_bot_bool).
% 15.63/15.46 0 [] hBOOL(hAPP_int_bool(bot_bot_fun_int_bool,X_1))| -hBOOL(bot_bot_bool).
% 15.63/15.46 0 [] -hBOOL(hAPP_a_bool(bot_bot_fun_a_bool,X_1))|hBOOL(bot_bot_bool).
% 15.63/15.46 0 [] hBOOL(hAPP_a_bool(bot_bot_fun_a_bool,X_1))| -hBOOL(bot_bot_bool).
% 15.63/15.46 0 [] bot_bot_fun_int_bool=collect_int(cOMBK_bool_int(fFalse)).
% 15.63/15.46 0 [] bot_bot_fun_nat_bool=collect_nat(cOMBK_bool_nat(fFalse)).
% 15.63/15.46 0 [] bot_bot_fun_a_bool=collect_a(cOMBK_bool_a(fFalse)).
% 15.63/15.46 0 [] -hBOOL(hAPP_nat_bool(bot_bot_fun_nat_bool,X_2))|hBOOL(bot_bot_bool).
% 15.63/15.46 0 [] hBOOL(hAPP_nat_bool(bot_bot_fun_nat_bool,X_2))| -hBOOL(bot_bot_bool).
% 15.63/15.46 0 [] -hBOOL(hAPP_int_bool(bot_bot_fun_int_bool,X_2))|hBOOL(bot_bot_bool).
% 15.63/15.46 0 [] hBOOL(hAPP_int_bool(bot_bot_fun_int_bool,X_2))| -hBOOL(bot_bot_bool).
% 15.63/15.46 0 [] -hBOOL(hAPP_a_bool(bot_bot_fun_a_bool,X_2))|hBOOL(bot_bot_bool).
% 15.63/15.46 0 [] hBOOL(hAPP_a_bool(bot_bot_fun_a_bool,X_2))| -hBOOL(bot_bot_bool).
% 15.63/15.46 0 [] -is_fun_a_bool(A)| -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_2),A))|hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),bot_bot_fun_a_bool)))=A.
% 15.63/15.46 0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_2),A))|hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),bot_bot_fun_int_bool)))=A.
% 15.63/15.46 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_2),A))|hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),bot_bot_fun_nat_bool)))=A.
% 15.63/15.46 0 [] -is_fun_pname_bool(A)| -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_2),A))|hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A_2),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A_2),bot_bo844097828e_bool)))=A.
% 15.63/15.46 0 [] -is_fun_a_bool(A)|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A))|hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),A)),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool))=A.
% 15.63/15.46 0 [] hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A))|hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),A)),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool))=A.
% 15.63/15.46 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))|hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),A)),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool))=A.
% 15.63/15.46 0 [] -is_fun_pname_bool(A)|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))|hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),A)),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),bot_bo844097828e_bool))=A.
% 15.63/15.46 0 [] hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),bot_bot_fun_a_bool)))=hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),A).
% 15.63/15.46 0 [] hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),bot_bot_fun_nat_bool)))=hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),A).
% 15.63/15.46 0 [] hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),bot_bot_fun_int_bool)))=hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),A).
% 15.63/15.46 0 [] hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),B))=hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),bot_bot_fun_a_bool))),B).
% 15.63/15.46 0 [] hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),B))=hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),bot_bot_fun_nat_bool))),B).
% 15.63/15.46 0 [] hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),B))=hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),bot_bot_fun_int_bool))),B).
% 15.63/15.46 0 [] hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),B))=hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),B)),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),bot_bot_fun_a_bool)).
% 15.63/15.46 0 [] hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),B))=hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B)),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),bot_bot_fun_nat_bool)).
% 15.63/15.47 0 [] hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),B))=hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),B)),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),bot_bot_fun_int_bool)).
% 15.63/15.47 0 [] -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool))),B))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),B))).
% 15.63/15.47 0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool))),B))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A))|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),B))).
% 15.63/15.47 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool))),B))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),B))).
% 15.63/15.47 0 [] -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),bot_bo844097828e_bool))),B))| -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),B))).
% 15.63/15.47 0 [] -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),B)))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool))),B)).
% 15.63/15.47 0 [] -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),B)))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B)).
% 15.63/15.47 0 [] hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),B)))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B)).
% 15.63/15.47 0 [] hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),B)))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool))),B))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A)).
% 15.63/15.47 0 [] hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),B)))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool))),B))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),B)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A))|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool))),B)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),B)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A))|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B)).
% 15.63/15.47 0 [] hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),B)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B)).
% 15.63/15.47 0 [] hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),B)))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool))),B))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A)).
% 15.63/15.47 0 [] hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),B)))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool))),B))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),B)))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool))),B)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),B)))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B)).
% 15.63/15.47 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),B)))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B)).
% 15.63/15.47 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),B)))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool))),B))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A)).
% 15.63/15.47 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),B)))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool))),B))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),B)))| -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),bot_bo844097828e_bool))),B)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),B)))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B)).
% 15.63/15.47 0 [] hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),B)))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B)).
% 15.63/15.47 0 [] hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),B)))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),bot_bo844097828e_bool))),B))| -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A)).
% 15.63/15.47 0 [] hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),B)))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),bot_bo844097828e_bool))),B))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,B))| -hBOOL(hAPP_f448129468l_bool(finite_finite_int,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),B)))|hBOOL(hAPP_f448129468l_bool(finite_finite_int,A)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,B))|hBOOL(hAPP_f448129468l_bool(finite_finite_int,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),B)))| -hBOOL(hAPP_f448129468l_bool(finite_finite_int,A)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B))| -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B)))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B)))| -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B))| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),B)))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),B)))| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A)).
% 15.63/15.47 0 [] -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),B))|hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),A)),B)=hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),B).
% 15.63/15.47 0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),B))|hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),A)),B)=hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),B).
% 15.63/15.47 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),B))|hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),A)),B)=hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B).
% 15.63/15.47 0 [] -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),B))|hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),A)),B)=hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),B).
% 15.63/15.47 0 [] -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),B))|hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),A)),B)=hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),B).
% 15.63/15.47 0 [] hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),B))|hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),A)),B)=hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),B)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),B))|hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),A)),B)=hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),B).
% 15.63/15.47 0 [] hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),B))|hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),A)),B)=hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),B)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),B))|hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),A)),B)=hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B).
% 15.63/15.47 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),B))|hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),A)),B)=hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),B))|hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),A)),B)=hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),B).
% 15.63/15.47 0 [] hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),B))|hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),A)),B)=hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),B)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),C_11))|hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,B),hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,C_11),A))=A.
% 15.63/15.47 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),C_11))|hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,B),hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,C_11),A))=A.
% 15.63/15.47 0 [] -is_fun_a_bool(A)| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),C_11))|hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,B),hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,C_11),A))=A.
% 15.63/15.47 0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),C_11))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,D_4),B))|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),B)),hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,C_11),D_4))).
% 15.63/15.47 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),C_11))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,D_4),B))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B)),hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,C_11),D_4))).
% 15.63/15.47 0 [] -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),C_11))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,D_4),B))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),B)),hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,C_11),D_4))).
% 15.63/15.47 0 [] hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),B)),A)).
% 15.63/15.47 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B)),A)).
% 15.63/15.47 0 [] hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),B)),A)).
% 15.63/15.47 0 [] -is_a(A_2)| -is_a(B_3)|hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),bot_bot_fun_a_bool)!=hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,B_3),bot_bot_fun_a_bool)|A_2=B_3.
% 15.63/15.47 0 [] hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),bot_bot_fun_nat_bool)!=hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,B_3),bot_bot_fun_nat_bool)|A_2=B_3.
% 15.63/15.47 0 [] hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),bot_bot_fun_int_bool)!=hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,B_3),bot_bot_fun_int_bool)|A_2=B_3.
% 15.63/15.47 0 [] -is_a(B_3)| -is_a(A_2)| -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,B_3),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),bot_bot_fun_a_bool)))|B_3=A_2.
% 15.63/15.47 0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,B_3),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),bot_bot_fun_int_bool)))|B_3=A_2.
% 15.63/15.47 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,B_3),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),bot_bot_fun_nat_bool)))|B_3=A_2.
% 15.63/15.47 0 [] -is_pname(B_3)| -is_pname(A_2)| -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,B_3),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A_2),bot_bo844097828e_bool)))|B_3=A_2.
% 15.63/15.47 0 [] -is_a(A_2)| -is_a(B_3)| -is_a(C_6)| -is_a(D_1)|hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,B_3),bot_bot_fun_a_bool))!=hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,C_6),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,D_1),bot_bot_fun_a_bool))|A_2=C_6|A_2=D_1.
% 15.63/15.47 0 [] -is_a(A_2)| -is_a(B_3)| -is_a(C_6)| -is_a(D_1)|hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,B_3),bot_bot_fun_a_bool))!=hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,C_6),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,D_1),bot_bot_fun_a_bool))|A_2=C_6|B_3=C_6.
% 15.63/15.47 0 [] -is_a(A_2)| -is_a(B_3)| -is_a(C_6)| -is_a(D_1)|hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,B_3),bot_bot_fun_a_bool))!=hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,C_6),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,D_1),bot_bot_fun_a_bool))|B_3=D_1|A_2=D_1.
% 15.63/15.47 0 [] -is_a(A_2)| -is_a(B_3)| -is_a(C_6)| -is_a(D_1)|hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,B_3),bot_bot_fun_a_bool))!=hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,C_6),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,D_1),bot_bot_fun_a_bool))|B_3=D_1|B_3=C_6.
% 15.63/15.47 0 [] -is_a(A_2)| -is_a(B_3)| -is_a(C_6)| -is_a(D_1)|hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,B_3),bot_bot_fun_a_bool))=hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,C_6),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,D_1),bot_bot_fun_a_bool))|A_2!=C_6|B_3!=D_1.
% 15.63/15.47 0 [] -is_a(A_2)| -is_a(B_3)| -is_a(C_6)| -is_a(D_1)|hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,B_3),bot_bot_fun_a_bool))=hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,C_6),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,D_1),bot_bot_fun_a_bool))|A_2!=D_1|B_3!=C_6.
% 15.63/15.47 0 [] hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,B_3),bot_bot_fun_nat_bool))!=hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,C_6),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,D_1),bot_bot_fun_nat_bool))|A_2=C_6|A_2=D_1.
% 15.63/15.47 0 [] hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,B_3),bot_bot_fun_nat_bool))!=hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,C_6),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,D_1),bot_bot_fun_nat_bool))|A_2=C_6|B_3=C_6.
% 15.63/15.47 0 [] hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,B_3),bot_bot_fun_nat_bool))!=hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,C_6),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,D_1),bot_bot_fun_nat_bool))|B_3=D_1|A_2=D_1.
% 15.63/15.47 0 [] hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,B_3),bot_bot_fun_nat_bool))!=hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,C_6),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,D_1),bot_bot_fun_nat_bool))|B_3=D_1|B_3=C_6.
% 15.63/15.47 0 [] hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,B_3),bot_bot_fun_nat_bool))=hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,C_6),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,D_1),bot_bot_fun_nat_bool))|A_2!=C_6|B_3!=D_1.
% 15.63/15.47 0 [] hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,B_3),bot_bot_fun_nat_bool))=hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,C_6),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,D_1),bot_bot_fun_nat_bool))|A_2!=D_1|B_3!=C_6.
% 15.63/15.47 0 [] hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,B_3),bot_bot_fun_int_bool))!=hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,C_6),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,D_1),bot_bot_fun_int_bool))|A_2=C_6|A_2=D_1.
% 15.63/15.47 0 [] hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,B_3),bot_bot_fun_int_bool))!=hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,C_6),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,D_1),bot_bot_fun_int_bool))|A_2=C_6|B_3=C_6.
% 15.63/15.47 0 [] hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,B_3),bot_bot_fun_int_bool))!=hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,C_6),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,D_1),bot_bot_fun_int_bool))|B_3=D_1|A_2=D_1.
% 15.63/15.47 0 [] hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,B_3),bot_bot_fun_int_bool))!=hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,C_6),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,D_1),bot_bot_fun_int_bool))|B_3=D_1|B_3=C_6.
% 15.63/15.47 0 [] hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,B_3),bot_bot_fun_int_bool))=hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,C_6),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,D_1),bot_bot_fun_int_bool))|A_2!=C_6|B_3!=D_1.
% 15.63/15.47 0 [] hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,B_3),bot_bot_fun_int_bool))=hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,C_6),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,D_1),bot_bot_fun_int_bool))|A_2!=D_1|B_3!=C_6.
% 15.63/15.47 0 [] -is_a(B_3)| -is_a(A_2)| -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,B_3),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),bot_bot_fun_a_bool)))|B_3=A_2.
% 15.63/15.47 0 [] -is_a(B_3)| -is_a(A_2)|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,B_3),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),bot_bot_fun_a_bool)))|B_3!=A_2.
% 15.63/15.47 0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,B_3),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),bot_bot_fun_int_bool)))|B_3=A_2.
% 15.63/15.47 0 [] hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,B_3),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),bot_bot_fun_int_bool)))|B_3!=A_2.
% 15.63/15.47 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,B_3),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),bot_bot_fun_nat_bool)))|B_3=A_2.
% 15.63/15.47 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,B_3),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),bot_bot_fun_nat_bool)))|B_3!=A_2.
% 15.63/15.47 0 [] -is_pname(B_3)| -is_pname(A_2)| -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,B_3),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A_2),bot_bo844097828e_bool)))|B_3=A_2.
% 15.63/15.47 0 [] -is_pname(B_3)| -is_pname(A_2)|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,B_3),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A_2),bot_bo844097828e_bool)))|B_3!=A_2.
% 15.63/15.47 0 [] hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),A)!=bot_bot_fun_a_bool.
% 15.63/15.47 0 [] hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),A)!=bot_bot_fun_nat_bool.
% 15.63/15.47 0 [] hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),A)!=bot_bot_fun_int_bool.
% 15.63/15.47 0 [] bot_bot_fun_a_bool!=hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),A).
% 15.63/15.47 0 [] bot_bot_fun_nat_bool!=hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),A).
% 15.63/15.47 0 [] bot_bot_fun_int_bool!=hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),A).
% 15.63/15.47 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),bot_bot_fun_nat_bool))|A=bot_bot_fun_nat_bool.
% 15.63/15.47 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),bot_bot_fun_nat_bool))|A!=bot_bot_fun_nat_bool.
% 15.63/15.47 0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),bot_bot_fun_int_bool))|A=bot_bot_fun_int_bool.
% 15.63/15.47 0 [] hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),bot_bot_fun_int_bool))|A!=bot_bot_fun_int_bool.
% 15.63/15.47 0 [] -is_fun_a_bool(A)| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),bot_bot_fun_a_bool))|A=bot_bot_fun_a_bool.
% 15.63/15.47 0 [] -is_fun_a_bool(A)|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),bot_bot_fun_a_bool))|A!=bot_bot_fun_a_bool.
% 15.63/15.47 0 [] image_nat_int(F,A)!=bot_bot_fun_int_bool|A=bot_bot_fun_nat_bool.
% 15.63/15.47 0 [] image_nat_int(F,A)=bot_bot_fun_int_bool|A!=bot_bot_fun_nat_bool.
% 15.63/15.47 0 [] -is_fun_pname_bool(A)|image_pname_a(F,A)!=bot_bot_fun_a_bool|A=bot_bo844097828e_bool.
% 15.63/15.47 0 [] -is_fun_pname_bool(A)|image_pname_a(F,A)=bot_bot_fun_a_bool|A!=bot_bo844097828e_bool.
% 15.63/15.47 0 [] image_nat_int(F,bot_bot_fun_nat_bool)=bot_bot_fun_int_bool.
% 15.63/15.47 0 [] image_pname_a(F,bot_bo844097828e_bool)=bot_bot_fun_a_bool.
% 15.63/15.47 0 [] bot_bot_fun_int_bool!=image_nat_int(F,A)|A=bot_bot_fun_nat_bool.
% 15.63/15.47 0 [] bot_bot_fun_int_bool=image_nat_int(F,A)|A!=bot_bot_fun_nat_bool.
% 15.63/15.47 0 [] -is_fun_pname_bool(A)|bot_bot_fun_a_bool!=image_pname_a(F,A)|A=bot_bo844097828e_bool.
% 15.63/15.47 0 [] -is_fun_pname_bool(A)|bot_bot_fun_a_bool=image_pname_a(F,A)|A!=bot_bo844097828e_bool.
% 15.63/15.47 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_2),bot_bot_fun_nat_bool))|A_2=bot_bot_fun_nat_bool.
% 15.63/15.47 0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A_2),bot_bot_fun_int_bool))|A_2=bot_bot_fun_int_bool.
% 15.63/15.47 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_17),bot_bot_nat))|A_17=bot_bot_nat.
% 15.63/15.47 0 [] -is_fun_a_bool(A_2)| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_2),bot_bot_fun_a_bool))|A_2=bot_bot_fun_a_bool.
% 15.63/15.47 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_2),bot_bot_fun_nat_bool))|A_2=bot_bot_fun_nat_bool.
% 15.63/15.47 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_2),bot_bot_fun_nat_bool))|A_2!=bot_bot_fun_nat_bool.
% 15.63/15.47 0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A_2),bot_bot_fun_int_bool))|A_2=bot_bot_fun_int_bool.
% 15.63/15.47 0 [] hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A_2),bot_bot_fun_int_bool))|A_2!=bot_bot_fun_int_bool.
% 15.63/15.47 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_2),bot_bot_nat))|A_2=bot_bot_nat.
% 15.63/15.47 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_2),bot_bot_nat))|A_2!=bot_bot_nat.
% 15.63/15.47 0 [] -is_fun_a_bool(A_2)| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_2),bot_bot_fun_a_bool))|A_2=bot_bot_fun_a_bool.
% 15.63/15.47 0 [] -is_fun_a_bool(A_2)|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_2),bot_bot_fun_a_bool))|A_2!=bot_bot_fun_a_bool.
% 15.63/15.47 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,bot_bot_fun_nat_bool),A_2)).
% 15.63/15.47 0 [] hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,bot_bot_fun_int_bool),A_2)).
% 15.63/15.47 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,bot_bot_nat),A_16)).
% 15.63/15.47 0 [] hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,bot_bot_fun_a_bool),A_2)).
% 15.63/15.47 0 [] -hBOOL(hAPP_a_bool(Pa,A_2))|collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fe_qual_a),A_2)),Pa))=hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),bot_bot_fun_a_bool).
% 15.63/15.47 0 [] hBOOL(hAPP_a_bool(Pa,A_2))|collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fe_qual_a),A_2)),Pa))=bot_bot_fun_a_bool.
% 15.63/15.47 0 [] -hBOOL(hAPP_int_bool(Pa,A_2))|collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fconj,hAPP_i1948725293t_bool(cOMBC_int_int_bool(fe_qual_int),A_2)),Pa))=hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),bot_bot_fun_int_bool).
% 15.63/15.47 0 [] hBOOL(hAPP_int_bool(Pa,A_2))|collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fconj,hAPP_i1948725293t_bool(cOMBC_int_int_bool(fe_qual_int),A_2)),Pa))=bot_bot_fun_int_bool.
% 15.63/15.47 0 [] -hBOOL(hAPP_nat_bool(Pa,A_2))|collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fe_qual_nat),A_2)),Pa))=hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),bot_bot_fun_nat_bool).
% 15.63/15.47 0 [] hBOOL(hAPP_nat_bool(Pa,A_2))|collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fe_qual_nat),A_2)),Pa))=bot_bot_fun_nat_bool.
% 15.63/15.47 0 [] -hBOOL(hAPP_a_bool(Pa,A_2))|collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_a_fun_a_bool(fe_qual_a,A_2)),Pa))=hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),bot_bot_fun_a_bool).
% 15.63/15.47 0 [] hBOOL(hAPP_a_bool(Pa,A_2))|collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_a_fun_a_bool(fe_qual_a,A_2)),Pa))=bot_bot_fun_a_bool.
% 15.63/15.47 0 [] -hBOOL(hAPP_int_bool(Pa,A_2))|collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fconj,hAPP_i1948725293t_bool(fe_qual_int,A_2)),Pa))=hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),bot_bot_fun_int_bool).
% 15.63/15.47 0 [] hBOOL(hAPP_int_bool(Pa,A_2))|collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fconj,hAPP_i1948725293t_bool(fe_qual_int,A_2)),Pa))=bot_bot_fun_int_bool.
% 15.63/15.47 0 [] -hBOOL(hAPP_nat_bool(Pa,A_2))|collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_n1699378549t_bool(fe_qual_nat,A_2)),Pa))=hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),bot_bot_fun_nat_bool).
% 15.63/15.47 0 [] hBOOL(hAPP_nat_bool(Pa,A_2))|collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_n1699378549t_bool(fe_qual_nat,A_2)),Pa))=bot_bot_fun_nat_bool.
% 15.63/15.47 0 [] collect_a(hAPP_a_fun_a_bool(cOMBC_a_a_bool(fe_qual_a),A_2))=hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),bot_bot_fun_a_bool).
% 15.63/15.47 0 [] collect_int(hAPP_i1948725293t_bool(cOMBC_int_int_bool(fe_qual_int),A_2))=hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),bot_bot_fun_int_bool).
% 15.63/15.47 0 [] collect_nat(hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fe_qual_nat),A_2))=hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),bot_bot_fun_nat_bool).
% 15.63/15.47 0 [] collect_a(hAPP_a_fun_a_bool(fe_qual_a,A_2))=hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),bot_bot_fun_a_bool).
% 15.63/15.47 0 [] collect_int(hAPP_i1948725293t_bool(fe_qual_int,A_2))=hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),bot_bot_fun_int_bool).
% 15.63/15.47 0 [] collect_nat(hAPP_n1699378549t_bool(fe_qual_nat,A_2))=hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),bot_bot_fun_nat_bool).
% 15.63/15.47 0 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A))|hAPP_nat_nat(suc,hAPP_fun_a_bool_nat(finite_card_a,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool))))=hAPP_fun_a_bool_nat(finite_card_a,A).
% 15.63/15.47 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A))|hAPP_nat_nat(suc,hAPP_f957591787ol_nat(finite_card_int,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool))))=hAPP_f957591787ol_nat(finite_card_int,A).
% 15.63/15.47 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))|hAPP_nat_nat(suc,hAPP_f22106695ol_nat(finite_card_nat,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool))))=hAPP_f22106695ol_nat(finite_card_nat,A).
% 15.63/15.47 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))| -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))|hAPP_nat_nat(suc,hAPP_f921600141ol_nat(finite_card_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),bot_bo844097828e_bool))))=hAPP_f921600141ol_nat(finite_card_pname,A).
% 15.63/15.47 0 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))|hAPP_fun_a_bool_nat(finite_card_a,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),A))=hAPP_nat_nat(suc,hAPP_fun_a_bool_nat(finite_card_a,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool)))).
% 15.63/15.47 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))|hAPP_f957591787ol_nat(finite_card_int,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),A))=hAPP_nat_nat(suc,hAPP_f957591787ol_nat(finite_card_int,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool)))).
% 15.63/15.47 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))|hAPP_f22106695ol_nat(finite_card_nat,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),A))=hAPP_nat_nat(suc,hAPP_f22106695ol_nat(finite_card_nat,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool)))).
% 15.63/15.47 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))|hAPP_f921600141ol_nat(finite_card_pname,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),A))=hAPP_nat_nat(suc,hAPP_f921600141ol_nat(finite_card_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),bot_bo844097828e_bool)))).
% 15.63/15.47 0 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_fun_a_bool_nat(finite_card_a,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool)))),hAPP_fun_a_bool_nat(finite_card_a,A))).
% 15.63/15.47 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f957591787ol_nat(finite_card_int,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool)))),hAPP_f957591787ol_nat(finite_card_int,A))).
% 15.63/15.47 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f22106695ol_nat(finite_card_nat,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool)))),hAPP_f22106695ol_nat(finite_card_nat,A))).
% 15.63/15.47 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f921600141ol_nat(finite_card_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),bot_bo844097828e_bool)))),hAPP_f921600141ol_nat(finite_card_pname,A))).
% 15.63/15.47 0 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),B))))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),B))).
% 15.63/15.47 0 [] hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),B))))| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),B))).
% 15.63/15.47 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),B))))|hBOOL(hAPP_f448129468l_bool(finite_finite_int,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),B))).
% 15.63/15.47 0 [] hBOOL(hAPP_f448129468l_bool(finite_finite_int,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),B))))| -hBOOL(hAPP_f448129468l_bool(finite_finite_int,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),B))).
% 15.63/15.47 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),B))))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B))).
% 15.63/15.47 0 [] hBOOL(hAPP_f54304608l_bool(finite_finite_nat,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),B))))| -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B))).
% 15.63/15.47 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A_2),B))))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),B))).
% 15.63/15.47 0 [] hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A_2),B))))| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),B))).
% 15.63/15.47 0 [] hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,image_nat_int(F,A)),image_nat_int(F,B))),image_nat_int(F,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B)))).
% 15.63/15.47 0 [] hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,image_pname_a(F,A)),image_pname_a(F,B))),image_pname_a(F,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),B)))).
% 15.63/15.47 0 [] -is_fun_a_bool(A)| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool)))|A=bot_bot_fun_a_bool|A=hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool).
% 15.63/15.47 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool)))|A=bot_bot_fun_nat_bool|A=hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool).
% 15.63/15.47 0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool)))|A=bot_bot_fun_int_bool|A=hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool).
% 15.63/15.47 0 [] hAPP_nat_nat(nat_case_nat(F1,F2),hAPP_nat_nat(suc,Nat_3))=hAPP_nat_nat(F2,Nat_3).
% 15.63/15.47 0 [] -hBOOL(hAPP_nat_bool(nat_case_bool(F1,F2),hAPP_nat_nat(suc,Nat_3)))|hBOOL(hAPP_nat_bool(F2,Nat_3)).
% 15.63/15.47 0 [] hBOOL(hAPP_nat_bool(nat_case_bool(F1,F2),hAPP_nat_nat(suc,Nat_3)))| -hBOOL(hAPP_nat_bool(F2,Nat_3)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))|image_nat_int(cOMBK_int_nat(C_6),A)=hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,C_6),bot_bot_fun_int_bool).
% 15.63/15.47 0 [] -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))|image_pname_a(cOMBK_a_pname(C_6),A)=hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,C_6),bot_bot_fun_a_bool).
% 15.63/15.47 0 [] A!=bot_bot_fun_nat_bool|image_nat_int(cOMBK_int_nat(C_6),A)=bot_bot_fun_int_bool.
% 15.63/15.47 0 [] A=bot_bot_fun_nat_bool|image_nat_int(cOMBK_int_nat(C_6),A)=hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,C_6),bot_bot_fun_int_bool).
% 15.63/15.47 0 [] -is_fun_pname_bool(A)|A!=bot_bo844097828e_bool|image_pname_a(cOMBK_a_pname(C_6),A)=bot_bot_fun_a_bool.
% 15.63/15.47 0 [] -is_fun_pname_bool(A)|A=bot_bo844097828e_bool|image_pname_a(cOMBK_a_pname(C_6),A)=hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,C_6),bot_bot_fun_a_bool).
% 15.63/15.47 0 [] hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_2),B_3)!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,C_6),D_1)|A_2!=B_3|C_6=D_1.
% 15.63/15.47 0 [] hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_2),B_3)!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,C_6),D_1)|A_2=B_3|C_6!=D_1.
% 15.63/15.47 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,B))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),A))|hAPP_f957591787ol_nat(finite_card_int,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),B))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_f957591787ol_nat(finite_card_int,A)),hAPP_f957591787ol_nat(finite_card_int,B)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),A))|hAPP_f22106695ol_nat(finite_card_nat,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_f22106695ol_nat(finite_card_nat,A)),hAPP_f22106695ol_nat(finite_card_nat,B)).
% 15.63/15.47 0 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),A))|hAPP_fun_a_bool_nat(finite_card_a,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),B))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_fun_a_bool_nat(finite_card_a,A)),hAPP_fun_a_bool_nat(finite_card_a,B)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),A))|hAPP_f921600141ol_nat(finite_card_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),B))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_f921600141ol_nat(finite_card_pname,A)),hAPP_f921600141ol_nat(finite_card_pname,B)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_f957591787ol_nat(finite_card_int,A)),hAPP_f957591787ol_nat(finite_card_int,B))),hAPP_f957591787ol_nat(finite_card_int,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),B)))).
% 15.63/15.47 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_f22106695ol_nat(finite_card_nat,A)),hAPP_f22106695ol_nat(finite_card_nat,B))),hAPP_f22106695ol_nat(finite_card_nat,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B)))).
% 15.63/15.47 0 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_fun_a_bool_nat(finite_card_a,A)),hAPP_fun_a_bool_nat(finite_card_a,B))),hAPP_fun_a_bool_nat(finite_card_a,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),B)))).
% 15.63/15.47 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_f921600141ol_nat(finite_card_pname,A)),hAPP_f921600141ol_nat(finite_card_pname,B))),hAPP_f921600141ol_nat(finite_card_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),B)))).
% 15.63/15.47 0 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,F_1))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,F_1),A))| -hBOOL(hAPP_fun_a_bool_bool(Pa,bot_bot_fun_a_bool))|is_a($f102(Pa,A,F_1))|hBOOL(hAPP_fun_a_bool_bool(Pa,F_1)).
% 15.63/15.47 0 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,F_1))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,F_1),A))| -hBOOL(hAPP_fun_a_bool_bool(Pa,bot_bot_fun_a_bool))|is_fun_a_bool($f101(Pa,A,F_1))|hBOOL(hAPP_fun_a_bool_bool(Pa,F_1)).
% 15.63/15.47 0 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,F_1))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,F_1),A))| -hBOOL(hAPP_fun_a_bool_bool(Pa,bot_bot_fun_a_bool))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,$f101(Pa,A,F_1)))|hBOOL(hAPP_fun_a_bool_bool(Pa,F_1)).
% 15.63/15.47 0 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,F_1))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,F_1),A))| -hBOOL(hAPP_fun_a_bool_bool(Pa,bot_bot_fun_a_bool))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,$f102(Pa,A,F_1)),A))|hBOOL(hAPP_fun_a_bool_bool(Pa,F_1)).
% 15.63/15.47 0 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,F_1))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,F_1),A))| -hBOOL(hAPP_fun_a_bool_bool(Pa,bot_bot_fun_a_bool))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,$f102(Pa,A,F_1)),$f101(Pa,A,F_1)))|hBOOL(hAPP_fun_a_bool_bool(Pa,F_1)).
% 15.63/15.47 0 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,F_1))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,F_1),A))| -hBOOL(hAPP_fun_a_bool_bool(Pa,bot_bot_fun_a_bool))|hBOOL(hAPP_fun_a_bool_bool(Pa,$f101(Pa,A,F_1)))|hBOOL(hAPP_fun_a_bool_bool(Pa,F_1)).
% 15.63/15.47 0 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,F_1))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,F_1),A))| -hBOOL(hAPP_fun_a_bool_bool(Pa,bot_bot_fun_a_bool))| -hBOOL(hAPP_fun_a_bool_bool(Pa,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,$f102(Pa,A,F_1)),$f101(Pa,A,F_1))))|hBOOL(hAPP_fun_a_bool_bool(Pa,F_1)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,F_1))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,F_1),A))| -hBOOL(hAPP_f448129468l_bool(Pa,bot_bot_fun_int_bool))|hBOOL(hAPP_f448129468l_bool(finite_finite_int,$f103(Pa,A,F_1)))|hBOOL(hAPP_f448129468l_bool(Pa,F_1)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,F_1))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,F_1),A))| -hBOOL(hAPP_f448129468l_bool(Pa,bot_bot_fun_int_bool))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f104(Pa,A,F_1)),A))|hBOOL(hAPP_f448129468l_bool(Pa,F_1)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,F_1))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,F_1),A))| -hBOOL(hAPP_f448129468l_bool(Pa,bot_bot_fun_int_bool))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f104(Pa,A,F_1)),$f103(Pa,A,F_1)))|hBOOL(hAPP_f448129468l_bool(Pa,F_1)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,F_1))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,F_1),A))| -hBOOL(hAPP_f448129468l_bool(Pa,bot_bot_fun_int_bool))|hBOOL(hAPP_f448129468l_bool(Pa,$f103(Pa,A,F_1)))|hBOOL(hAPP_f448129468l_bool(Pa,F_1)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,F_1))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,F_1),A))| -hBOOL(hAPP_f448129468l_bool(Pa,bot_bot_fun_int_bool))| -hBOOL(hAPP_f448129468l_bool(Pa,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,$f104(Pa,A,F_1)),$f103(Pa,A,F_1))))|hBOOL(hAPP_f448129468l_bool(Pa,F_1)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,F_1))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,F_1),A))| -hBOOL(hAPP_f54304608l_bool(Pa,bot_bot_fun_nat_bool))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,$f105(Pa,A,F_1)))|hBOOL(hAPP_f54304608l_bool(Pa,F_1)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,F_1))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,F_1),A))| -hBOOL(hAPP_f54304608l_bool(Pa,bot_bot_fun_nat_bool))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f106(Pa,A,F_1)),A))|hBOOL(hAPP_f54304608l_bool(Pa,F_1)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,F_1))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,F_1),A))| -hBOOL(hAPP_f54304608l_bool(Pa,bot_bot_fun_nat_bool))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f106(Pa,A,F_1)),$f105(Pa,A,F_1)))|hBOOL(hAPP_f54304608l_bool(Pa,F_1)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,F_1))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,F_1),A))| -hBOOL(hAPP_f54304608l_bool(Pa,bot_bot_fun_nat_bool))|hBOOL(hAPP_f54304608l_bool(Pa,$f105(Pa,A,F_1)))|hBOOL(hAPP_f54304608l_bool(Pa,F_1)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,F_1))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,F_1),A))| -hBOOL(hAPP_f54304608l_bool(Pa,bot_bot_fun_nat_bool))| -hBOOL(hAPP_f54304608l_bool(Pa,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,$f106(Pa,A,F_1)),$f105(Pa,A,F_1))))|hBOOL(hAPP_f54304608l_bool(Pa,F_1)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,F_1),A))| -hBOOL(hAPP_f1664156314l_bool(Pa,bot_bo844097828e_bool))|is_pname($f108(Pa,A,F_1))|hBOOL(hAPP_f1664156314l_bool(Pa,F_1)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,F_1),A))| -hBOOL(hAPP_f1664156314l_bool(Pa,bot_bo844097828e_bool))|is_fun_pname_bool($f107(Pa,A,F_1))|hBOOL(hAPP_f1664156314l_bool(Pa,F_1)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,F_1),A))| -hBOOL(hAPP_f1664156314l_bool(Pa,bot_bo844097828e_bool))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,$f107(Pa,A,F_1)))|hBOOL(hAPP_f1664156314l_bool(Pa,F_1)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,F_1),A))| -hBOOL(hAPP_f1664156314l_bool(Pa,bot_bo844097828e_bool))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,$f108(Pa,A,F_1)),A))|hBOOL(hAPP_f1664156314l_bool(Pa,F_1)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,F_1),A))| -hBOOL(hAPP_f1664156314l_bool(Pa,bot_bo844097828e_bool))| -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,$f108(Pa,A,F_1)),$f107(Pa,A,F_1)))|hBOOL(hAPP_f1664156314l_bool(Pa,F_1)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,F_1),A))| -hBOOL(hAPP_f1664156314l_bool(Pa,bot_bo844097828e_bool))|hBOOL(hAPP_f1664156314l_bool(Pa,$f107(Pa,A,F_1)))|hBOOL(hAPP_f1664156314l_bool(Pa,F_1)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,F_1),A))| -hBOOL(hAPP_f1664156314l_bool(Pa,bot_bo844097828e_bool))| -hBOOL(hAPP_f1664156314l_bool(Pa,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,$f108(Pa,A,F_1)),$f107(Pa,A,F_1))))|hBOOL(hAPP_f1664156314l_bool(Pa,F_1)).
% 15.63/15.47 0 [] -hBOOL(hAPP_fun_a_bool_bool(p(hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,hAPP_pname_a(mgt_call,Pn)),G)),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,mgt(the_com(body(Pn)))),bot_bot_fun_a_bool)))|hBOOL(hAPP_fun_a_bool_bool(p(G),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,hAPP_pname_a(mgt_call,Pn)),bot_bot_fun_a_bool))).
% 15.63/15.47 0 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))| -hBOOL(hAPP_fun_a_bool_bool(Pa,A))|is_a($f110(Pa,A))|hBOOL(hAPP_fun_a_bool_bool(Pa,bot_bot_fun_a_bool)).
% 15.63/15.47 0 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))| -hBOOL(hAPP_fun_a_bool_bool(Pa,A))|is_fun_a_bool($f109(Pa,A))|hBOOL(hAPP_fun_a_bool_bool(Pa,bot_bot_fun_a_bool)).
% 15.63/15.47 0 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))| -hBOOL(hAPP_fun_a_bool_bool(Pa,A))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,$f109(Pa,A)))|hBOOL(hAPP_fun_a_bool_bool(Pa,bot_bot_fun_a_bool)).
% 15.63/15.47 0 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))| -hBOOL(hAPP_fun_a_bool_bool(Pa,A))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,$f110(Pa,A)),$f109(Pa,A)))|hBOOL(hAPP_fun_a_bool_bool(Pa,bot_bot_fun_a_bool)).
% 15.63/15.47 0 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))| -hBOOL(hAPP_fun_a_bool_bool(Pa,A))|hBOOL(hAPP_fun_a_bool_bool(Pa,$f109(Pa,A)))|hBOOL(hAPP_fun_a_bool_bool(Pa,bot_bot_fun_a_bool)).
% 15.63/15.47 0 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))| -hBOOL(hAPP_fun_a_bool_bool(Pa,A))| -hBOOL(hAPP_fun_a_bool_bool(Pa,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,$f109(Pa,A)),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,$f110(Pa,A)),bot_bot_fun_a_bool))))|hBOOL(hAPP_fun_a_bool_bool(Pa,bot_bot_fun_a_bool)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))| -hBOOL(hAPP_f448129468l_bool(Pa,A))|hBOOL(hAPP_f448129468l_bool(finite_finite_int,$f111(Pa,A)))|hBOOL(hAPP_f448129468l_bool(Pa,bot_bot_fun_int_bool)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))| -hBOOL(hAPP_f448129468l_bool(Pa,A))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f112(Pa,A)),$f111(Pa,A)))|hBOOL(hAPP_f448129468l_bool(Pa,bot_bot_fun_int_bool)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))| -hBOOL(hAPP_f448129468l_bool(Pa,A))|hBOOL(hAPP_f448129468l_bool(Pa,$f111(Pa,A)))|hBOOL(hAPP_f448129468l_bool(Pa,bot_bot_fun_int_bool)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))| -hBOOL(hAPP_f448129468l_bool(Pa,A))| -hBOOL(hAPP_f448129468l_bool(Pa,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,$f111(Pa,A)),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,$f112(Pa,A)),bot_bot_fun_int_bool))))|hBOOL(hAPP_f448129468l_bool(Pa,bot_bot_fun_int_bool)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))| -hBOOL(hAPP_f54304608l_bool(Pa,A))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,$f113(Pa,A)))|hBOOL(hAPP_f54304608l_bool(Pa,bot_bot_fun_nat_bool)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))| -hBOOL(hAPP_f54304608l_bool(Pa,A))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f114(Pa,A)),$f113(Pa,A)))|hBOOL(hAPP_f54304608l_bool(Pa,bot_bot_fun_nat_bool)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))| -hBOOL(hAPP_f54304608l_bool(Pa,A))|hBOOL(hAPP_f54304608l_bool(Pa,$f113(Pa,A)))|hBOOL(hAPP_f54304608l_bool(Pa,bot_bot_fun_nat_bool)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))| -hBOOL(hAPP_f54304608l_bool(Pa,A))| -hBOOL(hAPP_f54304608l_bool(Pa,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,$f113(Pa,A)),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,$f114(Pa,A)),bot_bot_fun_nat_bool))))|hBOOL(hAPP_f54304608l_bool(Pa,bot_bot_fun_nat_bool)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))| -hBOOL(hAPP_f1664156314l_bool(Pa,A))|is_pname($f116(Pa,A))|hBOOL(hAPP_f1664156314l_bool(Pa,bot_bo844097828e_bool)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))| -hBOOL(hAPP_f1664156314l_bool(Pa,A))|is_fun_pname_bool($f115(Pa,A))|hBOOL(hAPP_f1664156314l_bool(Pa,bot_bo844097828e_bool)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))| -hBOOL(hAPP_f1664156314l_bool(Pa,A))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,$f115(Pa,A)))|hBOOL(hAPP_f1664156314l_bool(Pa,bot_bo844097828e_bool)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))| -hBOOL(hAPP_f1664156314l_bool(Pa,A))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,$f116(Pa,A)),$f115(Pa,A)))|hBOOL(hAPP_f1664156314l_bool(Pa,bot_bo844097828e_bool)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))| -hBOOL(hAPP_f1664156314l_bool(Pa,A))|hBOOL(hAPP_f1664156314l_bool(Pa,$f115(Pa,A)))|hBOOL(hAPP_f1664156314l_bool(Pa,bot_bo844097828e_bool)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))| -hBOOL(hAPP_f1664156314l_bool(Pa,A))| -hBOOL(hAPP_f1664156314l_bool(Pa,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,$f115(Pa,A)),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,$f116(Pa,A)),bot_bo844097828e_bool))))|hBOOL(hAPP_f1664156314l_bool(Pa,bot_bo844097828e_bool)).
% 15.63/15.47 0 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,F_1))| -hBOOL(hAPP_fun_a_bool_bool(Pa,bot_bot_fun_a_bool))|is_a($f118(Pa,F_1))|hBOOL(hAPP_fun_a_bool_bool(Pa,F_1)).
% 15.63/15.47 0 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,F_1))| -hBOOL(hAPP_fun_a_bool_bool(Pa,bot_bot_fun_a_bool))|is_fun_a_bool($f117(Pa,F_1))|hBOOL(hAPP_fun_a_bool_bool(Pa,F_1)).
% 15.63/15.47 0 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,F_1))| -hBOOL(hAPP_fun_a_bool_bool(Pa,bot_bot_fun_a_bool))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,$f117(Pa,F_1)))|hBOOL(hAPP_fun_a_bool_bool(Pa,F_1)).
% 15.63/15.47 0 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,F_1))| -hBOOL(hAPP_fun_a_bool_bool(Pa,bot_bot_fun_a_bool))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,$f118(Pa,F_1)),$f117(Pa,F_1)))|hBOOL(hAPP_fun_a_bool_bool(Pa,F_1)).
% 15.63/15.47 0 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,F_1))| -hBOOL(hAPP_fun_a_bool_bool(Pa,bot_bot_fun_a_bool))|hBOOL(hAPP_fun_a_bool_bool(Pa,$f117(Pa,F_1)))|hBOOL(hAPP_fun_a_bool_bool(Pa,F_1)).
% 15.63/15.47 0 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,F_1))| -hBOOL(hAPP_fun_a_bool_bool(Pa,bot_bot_fun_a_bool))| -hBOOL(hAPP_fun_a_bool_bool(Pa,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,$f118(Pa,F_1)),$f117(Pa,F_1))))|hBOOL(hAPP_fun_a_bool_bool(Pa,F_1)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,F_1))| -hBOOL(hAPP_f448129468l_bool(Pa,bot_bot_fun_int_bool))|hBOOL(hAPP_f448129468l_bool(finite_finite_int,$f119(Pa,F_1)))|hBOOL(hAPP_f448129468l_bool(Pa,F_1)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,F_1))| -hBOOL(hAPP_f448129468l_bool(Pa,bot_bot_fun_int_bool))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f120(Pa,F_1)),$f119(Pa,F_1)))|hBOOL(hAPP_f448129468l_bool(Pa,F_1)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,F_1))| -hBOOL(hAPP_f448129468l_bool(Pa,bot_bot_fun_int_bool))|hBOOL(hAPP_f448129468l_bool(Pa,$f119(Pa,F_1)))|hBOOL(hAPP_f448129468l_bool(Pa,F_1)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,F_1))| -hBOOL(hAPP_f448129468l_bool(Pa,bot_bot_fun_int_bool))| -hBOOL(hAPP_f448129468l_bool(Pa,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,$f120(Pa,F_1)),$f119(Pa,F_1))))|hBOOL(hAPP_f448129468l_bool(Pa,F_1)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,F_1))| -hBOOL(hAPP_f54304608l_bool(Pa,bot_bot_fun_nat_bool))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,$f121(Pa,F_1)))|hBOOL(hAPP_f54304608l_bool(Pa,F_1)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,F_1))| -hBOOL(hAPP_f54304608l_bool(Pa,bot_bot_fun_nat_bool))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f122(Pa,F_1)),$f121(Pa,F_1)))|hBOOL(hAPP_f54304608l_bool(Pa,F_1)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,F_1))| -hBOOL(hAPP_f54304608l_bool(Pa,bot_bot_fun_nat_bool))|hBOOL(hAPP_f54304608l_bool(Pa,$f121(Pa,F_1)))|hBOOL(hAPP_f54304608l_bool(Pa,F_1)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,F_1))| -hBOOL(hAPP_f54304608l_bool(Pa,bot_bot_fun_nat_bool))| -hBOOL(hAPP_f54304608l_bool(Pa,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,$f122(Pa,F_1)),$f121(Pa,F_1))))|hBOOL(hAPP_f54304608l_bool(Pa,F_1)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1))| -hBOOL(hAPP_f1664156314l_bool(Pa,bot_bo844097828e_bool))|is_pname($f124(Pa,F_1))|hBOOL(hAPP_f1664156314l_bool(Pa,F_1)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1))| -hBOOL(hAPP_f1664156314l_bool(Pa,bot_bo844097828e_bool))|is_fun_pname_bool($f123(Pa,F_1))|hBOOL(hAPP_f1664156314l_bool(Pa,F_1)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1))| -hBOOL(hAPP_f1664156314l_bool(Pa,bot_bo844097828e_bool))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,$f123(Pa,F_1)))|hBOOL(hAPP_f1664156314l_bool(Pa,F_1)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1))| -hBOOL(hAPP_f1664156314l_bool(Pa,bot_bo844097828e_bool))| -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,$f124(Pa,F_1)),$f123(Pa,F_1)))|hBOOL(hAPP_f1664156314l_bool(Pa,F_1)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1))| -hBOOL(hAPP_f1664156314l_bool(Pa,bot_bo844097828e_bool))|hBOOL(hAPP_f1664156314l_bool(Pa,$f123(Pa,F_1)))|hBOOL(hAPP_f1664156314l_bool(Pa,F_1)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1))| -hBOOL(hAPP_f1664156314l_bool(Pa,bot_bo844097828e_bool))| -hBOOL(hAPP_f1664156314l_bool(Pa,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,$f124(Pa,F_1)),$f123(Pa,F_1))))|hBOOL(hAPP_f1664156314l_bool(Pa,F_1)).
% 15.63/15.47 0 [] -is_fun_a_bool(A_2)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_2))|A_2=bot_bot_fun_a_bool|is_fun_a_bool($f126(A_2)).
% 15.63/15.47 0 [] -is_fun_a_bool(A_2)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_2))|A_2=bot_bot_fun_a_bool|is_a($f125(A_2)).
% 15.63/15.47 0 [] -is_fun_a_bool(A_2)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_2))|A_2=bot_bot_fun_a_bool|A_2=hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,$f125(A_2)),$f126(A_2)).
% 15.63/15.47 0 [] -is_fun_a_bool(A_2)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_2))|A_2=bot_bot_fun_a_bool|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,$f126(A_2))).
% 15.63/15.47 0 [] -is_fun_a_bool(A_2)|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_2))|A_2!=bot_bot_fun_a_bool.
% 15.63/15.47 0 [] -is_fun_a_bool(A_2)|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_2))| -is_fun_a_bool(A_15)| -is_a(A_14)|A_2!=hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_14),A_15)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_15)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,A_2))|A_2=bot_bot_fun_int_bool|A_2=hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,$f127(A_2)),$f128(A_2)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,A_2))|A_2=bot_bot_fun_int_bool|hBOOL(hAPP_f448129468l_bool(finite_finite_int,$f128(A_2))).
% 15.63/15.47 0 [] hBOOL(hAPP_f448129468l_bool(finite_finite_int,A_2))|A_2!=bot_bot_fun_int_bool.
% 15.63/15.47 0 [] hBOOL(hAPP_f448129468l_bool(finite_finite_int,A_2))|A_2!=hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_14),A_15)| -hBOOL(hAPP_f448129468l_bool(finite_finite_int,A_15)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_2))|A_2=bot_bot_fun_nat_bool|A_2=hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,$f129(A_2)),$f130(A_2)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_2))|A_2=bot_bot_fun_nat_bool|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,$f130(A_2))).
% 15.63/15.47 0 [] hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_2))|A_2!=bot_bot_fun_nat_bool.
% 15.63/15.47 0 [] hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_2))|A_2!=hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_14),A_15)| -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_15)).
% 15.63/15.47 0 [] -is_fun_pname_bool(A_2)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_2))|A_2=bot_bo844097828e_bool|is_fun_pname_bool($f132(A_2)).
% 15.63/15.47 0 [] -is_fun_pname_bool(A_2)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_2))|A_2=bot_bo844097828e_bool|is_pname($f131(A_2)).
% 15.63/15.47 0 [] -is_fun_pname_bool(A_2)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_2))|A_2=bot_bo844097828e_bool|A_2=hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,$f131(A_2)),$f132(A_2)).
% 15.63/15.47 0 [] -is_fun_pname_bool(A_2)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_2))|A_2=bot_bo844097828e_bool|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,$f132(A_2))).
% 15.63/15.47 0 [] -is_fun_pname_bool(A_2)|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_2))|A_2!=bot_bo844097828e_bool.
% 15.63/15.47 0 [] -is_fun_pname_bool(A_2)|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_2))| -is_fun_pname_bool(A_15)| -is_pname(A_14)|A_2!=hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A_14),A_15)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_15)).
% 15.63/15.47 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,$f133(U,F)),hAPP_nat_nat(F,$f133(U,F))))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(cOMBB_800536526ol_nat(ord_less_e_q_nat,F)),U)))).
% 15.63/15.47 0 [] -is_a(X_1)|hAPP_fun_a_bool_a(the_elem_a,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool))=X_1.
% 15.63/15.47 0 [] hAPP_f22106695ol_nat(the_elem_nat,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool))=X_1.
% 15.63/15.47 0 [] hAPP_f1594865479ol_int(the_elem_int,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool))=X_1.
% 15.63/15.47 0 [] -is_fun_a_bool(A)|A=bot_bot_fun_a_bool|is_a($f135(A)).
% 15.63/15.47 0 [] -is_fun_a_bool(A)|A=bot_bot_fun_a_bool|is_fun_a_bool($f134(A)).
% 15.63/15.47 0 [] -is_fun_a_bool(A)|A=bot_bot_fun_a_bool|A=hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,$f135(A)),$f134(A)).
% 15.63/15.47 0 [] -is_fun_a_bool(A)|A=bot_bot_fun_a_bool| -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,$f135(A)),$f134(A))).
% 15.63/15.47 0 [] -is_fun_a_bool(A)|A!=bot_bot_fun_a_bool| -is_a(X_2)| -is_fun_a_bool(B_15)|A!=hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_2),B_15)|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_2),B_15)).
% 15.63/15.47 0 [] A=bot_bot_fun_int_bool|A=hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,$f137(A)),$f136(A)).
% 15.63/15.47 0 [] A=bot_bot_fun_int_bool| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f137(A)),$f136(A))).
% 15.63/15.47 0 [] A!=bot_bot_fun_int_bool|A!=hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_2),B_15)|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),B_15)).
% 15.63/15.47 0 [] A=bot_bot_fun_nat_bool|A=hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,$f139(A)),$f138(A)).
% 15.63/15.47 0 [] A=bot_bot_fun_nat_bool| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f139(A)),$f138(A))).
% 15.63/15.47 0 [] A!=bot_bot_fun_nat_bool|A!=hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_2),B_15)|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),B_15)).
% 15.63/15.47 0 [] -is_fun_pname_bool(A)|A=bot_bo844097828e_bool|is_pname($f141(A)).
% 15.63/15.47 0 [] -is_fun_pname_bool(A)|A=bot_bo844097828e_bool|is_fun_pname_bool($f140(A)).
% 15.63/15.47 0 [] -is_fun_pname_bool(A)|A=bot_bo844097828e_bool|A=hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,$f141(A)),$f140(A)).
% 15.63/15.47 0 [] -is_fun_pname_bool(A)|A=bot_bo844097828e_bool| -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,$f141(A)),$f140(A))).
% 15.63/15.47 0 [] -is_fun_pname_bool(A)|A!=bot_bo844097828e_bool| -is_pname(X_2)| -is_fun_pname_bool(B_15)|A!=hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_2),B_15)|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_2),B_15)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,Pn),u))|hBOOL(wt(the_com(body(Pn)))).
% 15.63/15.47 0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,C_6),hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),B)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,C_6),A)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,C_6),hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),B)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,C_6),B)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_6),hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B)))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_6),A)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_6),hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B)))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_6),B)).
% 15.63/15.47 0 [] -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,C_6),hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),B)))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,C_6),A)).
% 15.63/15.47 0 [] -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,C_6),hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),B)))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,C_6),B)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C_6),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),B)))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C_6),A)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C_6),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),B)))| -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C_6),B)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,C_6),A))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,C_6),B))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,C_6),hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),B))).
% 15.63/15.47 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_6),A))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_6),B))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_6),hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B))).
% 15.63/15.47 0 [] -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,C_6),A))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,C_6),B))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,C_6),hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),B))).
% 15.63/15.47 0 [] -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C_6),A))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C_6),B))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C_6),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),B))).
% 15.63/15.47 0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,C_6),hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),B)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,C_6),B)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_6),hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B)))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_6),B)).
% 15.63/15.47 0 [] -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,C_6),hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),B)))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,C_6),B)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C_6),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),B)))| -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C_6),B)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,C_6),hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),B)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,C_6),A)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_6),hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B)))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_6),A)).
% 15.63/15.47 0 [] -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,C_6),hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),B)))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,C_6),A)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C_6),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),B)))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C_6),A)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,C_6),hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),B)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,C_6),A)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,C_6),hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),B)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,C_6),B)).
% 15.63/15.47 0 [] hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,C_6),hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),B)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,C_6),A))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,C_6),B)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_6),hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B)))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_6),A)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_6),hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B)))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_6),B)).
% 15.63/15.47 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_6),hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B)))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_6),A))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_6),B)).
% 15.63/15.47 0 [] -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,C_6),hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),B)))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,C_6),A)).
% 15.63/15.47 0 [] -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,C_6),hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),B)))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,C_6),B)).
% 15.63/15.47 0 [] hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,C_6),hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),B)))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,C_6),A))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,C_6),B)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C_6),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),B)))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C_6),A)).
% 15.63/15.47 0 [] -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C_6),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),B)))| -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C_6),B)).
% 15.63/15.47 0 [] hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C_6),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),B)))| -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C_6),A))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C_6),B)).
% 15.63/15.47 0 [] hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),B)=collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fconj,hAPP_f1805168059t_bool(cOMBC_94739984l_bool(member_int),A)),cOMBB_bool_bool_int(fNot,hAPP_f1805168059t_bool(cOMBC_94739984l_bool(member_int),B)))).
% 15.63/15.47 0 [] hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B)=collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),A)),cOMBB_bool_bool_nat(fNot,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),B)))).
% 15.63/15.47 0 [] hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),B)=collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),A)),cOMBB_bool_bool_a(fNot,hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),B)))).
% 15.63/15.47 0 [] hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),B)=collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),A)),cOMBB_647938656_pname(fNot,hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),B)))).
% 15.63/15.47 0 [] -is_a(X_1)| -hBOOL(finite_folding_one_a(F,F_1))| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))|hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool))!=bot_bot_fun_a_bool|hAPP_fun_a_bool_a(F_1,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),A))=X_1.
% 15.63/15.47 0 [] -is_a(X_1)| -hBOOL(finite_folding_one_a(F,F_1))| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))|hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool))=bot_bot_fun_a_bool|hAPP_fun_a_bool_a(F_1,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),A))=hAPP_a_a(hAPP_a_fun_a_a(F,X_1),hAPP_fun_a_bool_a(F_1,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool)))).
% 15.63/15.47 0 [] -hBOOL(finite1626084323ne_int(F,F_1))| -hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))|hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool))!=bot_bot_fun_int_bool|hAPP_f1594865479ol_int(F_1,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),A))=X_1.
% 15.63/15.47 0 [] -hBOOL(finite1626084323ne_int(F,F_1))| -hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))|hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool))=bot_bot_fun_int_bool|hAPP_f1594865479ol_int(F_1,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),A))=hAPP_int_int(hAPP_int_fun_int_int(F,X_1),hAPP_f1594865479ol_int(F_1,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool)))).
% 15.63/15.47 0 [] -hBOOL(finite988810631ne_nat(F,F_1))| -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))|hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool))!=bot_bot_fun_nat_bool|hAPP_f22106695ol_nat(F_1,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),A))=X_1.
% 15.63/15.47 0 [] -hBOOL(finite988810631ne_nat(F,F_1))| -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))|hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool))=bot_bot_fun_nat_bool|hAPP_f22106695ol_nat(F_1,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),A))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(F,X_1),hAPP_f22106695ol_nat(F_1,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool)))).
% 15.63/15.47 0 [] -is_pname(X_1)| -hBOOL(finite1282449217_pname(F,F_1))| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))|hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),bot_bo844097828e_bool))!=bot_bo844097828e_bool|hAPP_f1297739591_pname(F_1,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),A))=X_1.
% 15.63/15.47 0 [] -is_pname(X_1)| -hBOOL(finite1282449217_pname(F,F_1))| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))|hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),bot_bo844097828e_bool))=bot_bo844097828e_bool|hAPP_f1297739591_pname(F_1,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),A))=hAPP_pname_pname(hAPP_p1170154830_pname(F,X_1),hAPP_f1297739591_pname(F_1,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),bot_bo844097828e_bool)))).
% 15.63/15.47 0 [] -is_a(X_1)| -hBOOL(finite_folding_one_a(F,F_1))| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A))|hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool))!=bot_bot_fun_a_bool|hAPP_fun_a_bool_a(F_1,A)=X_1.
% 15.63/15.47 0 [] -is_a(X_1)| -hBOOL(finite_folding_one_a(F,F_1))| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A))|hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool))=bot_bot_fun_a_bool|hAPP_fun_a_bool_a(F_1,A)=hAPP_a_a(hAPP_a_fun_a_a(F,X_1),hAPP_fun_a_bool_a(F_1,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool)))).
% 15.63/15.47 0 [] -hBOOL(finite1626084323ne_int(F,F_1))| -hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A))|hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool))!=bot_bot_fun_int_bool|hAPP_f1594865479ol_int(F_1,A)=X_1.
% 15.63/15.47 0 [] -hBOOL(finite1626084323ne_int(F,F_1))| -hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A))|hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool))=bot_bot_fun_int_bool|hAPP_f1594865479ol_int(F_1,A)=hAPP_int_int(hAPP_int_fun_int_int(F,X_1),hAPP_f1594865479ol_int(F_1,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool)))).
% 15.63/15.47 0 [] -hBOOL(finite988810631ne_nat(F,F_1))| -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))|hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool))!=bot_bot_fun_nat_bool|hAPP_f22106695ol_nat(F_1,A)=X_1.
% 15.63/15.47 0 [] -hBOOL(finite988810631ne_nat(F,F_1))| -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))|hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool))=bot_bot_fun_nat_bool|hAPP_f22106695ol_nat(F_1,A)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(F,X_1),hAPP_f22106695ol_nat(F_1,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool)))).
% 15.63/15.47 0 [] -is_pname(X_1)| -hBOOL(finite1282449217_pname(F,F_1))| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))| -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))|hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),bot_bo844097828e_bool))!=bot_bo844097828e_bool|hAPP_f1297739591_pname(F_1,A)=X_1.
% 15.63/15.47 0 [] -is_pname(X_1)| -hBOOL(finite1282449217_pname(F,F_1))| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))| -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))|hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),bot_bo844097828e_bool))=bot_bo844097828e_bool|hAPP_f1297739591_pname(F_1,A)=hAPP_pname_pname(hAPP_p1170154830_pname(F,X_1),hAPP_f1297739591_pname(F_1,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),bot_bo844097828e_bool)))).
% 15.63/15.47 0 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A))|hAPP_fun_a_bool_nat(finite_card_a,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool)))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_fun_a_bool_nat(finite_card_a,A)),one_one_nat).
% 15.63/15.47 0 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A))|hAPP_fun_a_bool_nat(finite_card_a,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool)))=hAPP_fun_a_bool_nat(finite_card_a,A).
% 15.63/15.47 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A))|hAPP_f957591787ol_nat(finite_card_int,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool)))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_f957591787ol_nat(finite_card_int,A)),one_one_nat).
% 15.63/15.47 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A))|hAPP_f957591787ol_nat(finite_card_int,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool)))=hAPP_f957591787ol_nat(finite_card_int,A).
% 15.63/15.47 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))|hAPP_f22106695ol_nat(finite_card_nat,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool)))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_f22106695ol_nat(finite_card_nat,A)),one_one_nat).
% 15.63/15.47 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))|hAPP_f22106695ol_nat(finite_card_nat,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool)))=hAPP_f22106695ol_nat(finite_card_nat,A).
% 15.63/15.47 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))| -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))|hAPP_f921600141ol_nat(finite_card_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),bot_bo844097828e_bool)))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_f921600141ol_nat(finite_card_pname,A)),one_one_nat).
% 15.63/15.47 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))|hAPP_f921600141ol_nat(finite_card_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),bot_bo844097828e_bool)))=hAPP_f921600141ol_nat(finite_card_pname,A).
% 15.63/15.47 0 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A))|hAPP_fun_a_bool_nat(finite_card_a,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool)))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_fun_a_bool_nat(finite_card_a,A)),one_one_nat).
% 15.63/15.47 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A))|hAPP_f957591787ol_nat(finite_card_int,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool)))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_f957591787ol_nat(finite_card_int,A)),one_one_nat).
% 15.63/15.47 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))|hAPP_f22106695ol_nat(finite_card_nat,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool)))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_f22106695ol_nat(finite_card_nat,A)),one_one_nat).
% 15.63/15.47 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))| -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))|hAPP_f921600141ol_nat(finite_card_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),bot_bo844097828e_bool)))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_f921600141ol_nat(finite_card_pname,A)),one_one_nat).
% 15.63/15.47 0 [] one_one_int!=X_1|X_1=one_one_int.
% 15.63/15.47 0 [] one_one_int=X_1|X_1!=one_one_int.
% 15.63/15.47 0 [] one_one_nat!=X_1|X_1=one_one_nat.
% 15.63/15.47 0 [] one_one_nat=X_1|X_1!=one_one_nat.
% 15.63/15.47 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(suc,N)),one_one_nat)=N.
% 15.63/15.47 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),hAPP_nat_nat(suc,N))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),one_one_nat)),N).
% 15.63/15.47 0 [] -is_a(X_1)| -hBOOL(finite_folding_one_a(F,F_1))|hAPP_fun_a_bool_a(F_1,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool))=X_1.
% 15.63/15.47 0 [] -hBOOL(finite988810631ne_nat(F,F_1))|hAPP_f22106695ol_nat(F_1,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool))=X_1.
% 15.63/15.47 0 [] -hBOOL(finite1626084323ne_int(F,F_1))|hAPP_f1594865479ol_int(F_1,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool))=X_1.
% 15.63/15.47 0 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_2),A))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_2),B))|hAPP_fun_a_bool_nat(finite_card_a,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A_2),B)))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_fun_a_bool_nat(finite_card_a,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),B))),one_one_nat).
% 15.63/15.47 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_2),A))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_2),B))|hAPP_f957591787ol_nat(finite_card_int,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A_2),B)))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_f957591787ol_nat(finite_card_int,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),B))),one_one_nat).
% 15.63/15.47 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_2),A))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_2),B))|hAPP_f22106695ol_nat(finite_card_nat,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A_2),B)))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_f22106695ol_nat(finite_card_nat,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B))),one_one_nat).
% 15.63/15.47 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))| -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_2),A))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_2),B))|hAPP_f921600141ol_nat(finite_card_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A_2),B)))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_f921600141ol_nat(finite_card_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),B))),one_one_nat).
% 15.63/15.47 0 [] -is_fun_a_bool(A)| -hBOOL(finite_folding_one_a(F,F_1))| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A))|A=bot_bot_fun_a_bool|hAPP_fun_a_bool_a(F_1,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),A))=hAPP_a_a(hAPP_a_fun_a_a(F,X_1),hAPP_fun_a_bool_a(F_1,A)).
% 15.63/15.47 0 [] -hBOOL(finite1626084323ne_int(F,F_1))| -hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A))|A=bot_bot_fun_int_bool|hAPP_f1594865479ol_int(F_1,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),A))=hAPP_int_int(hAPP_int_fun_int_int(F,X_1),hAPP_f1594865479ol_int(F_1,A)).
% 15.63/15.47 0 [] -hBOOL(finite988810631ne_nat(F,F_1))| -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))|A=bot_bot_fun_nat_bool|hAPP_f22106695ol_nat(F_1,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),A))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(F,X_1),hAPP_f22106695ol_nat(F_1,A)).
% 15.63/15.47 0 [] -is_fun_pname_bool(A)| -hBOOL(finite1282449217_pname(F,F_1))| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))|A=bot_bo844097828e_bool|hAPP_f1297739591_pname(F_1,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),A))=hAPP_pname_pname(hAPP_p1170154830_pname(F,X_1),hAPP_f1297739591_pname(F_1,A)).
% 15.63/15.47 0 [] -is_fun_a_bool(A)| -hBOOL(finite_folding_one_a(F,F_1))| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))|A=bot_bot_fun_a_bool|is_a($f143(A,F,F_1))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_fun_a_bool_a(F_1,A)),A)).
% 15.63/15.47 0 [] -is_fun_a_bool(A)| -hBOOL(finite_folding_one_a(F,F_1))| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))|A=bot_bot_fun_a_bool|is_a($f142(A,F,F_1))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_fun_a_bool_a(F_1,A)),A)).
% 15.63/15.47 0 [] -is_fun_a_bool(A)| -hBOOL(finite_folding_one_a(F,F_1))| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))|A=bot_bot_fun_a_bool| -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_a_a(hAPP_a_fun_a_a(F,$f143(A,F,F_1)),$f142(A,F,F_1))),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,$f143(A,F,F_1)),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,$f142(A,F,F_1)),bot_bot_fun_a_bool))))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_fun_a_bool_a(F_1,A)),A)).
% 15.63/15.47 0 [] -hBOOL(finite1626084323ne_int(F,F_1))| -hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))|A=bot_bot_fun_int_bool| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(F,$f145(A,F,F_1)),$f144(A,F,F_1))),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,$f145(A,F,F_1)),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,$f144(A,F,F_1)),bot_bot_fun_int_bool))))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_f1594865479ol_int(F_1,A)),A)).
% 15.63/15.47 0 [] -hBOOL(finite988810631ne_nat(F,F_1))| -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))|A=bot_bot_fun_nat_bool| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(F,$f147(A,F,F_1)),$f146(A,F,F_1))),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,$f147(A,F,F_1)),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,$f146(A,F,F_1)),bot_bot_fun_nat_bool))))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_f22106695ol_nat(F_1,A)),A)).
% 15.63/15.47 0 [] -is_fun_pname_bool(A)| -hBOOL(finite1282449217_pname(F,F_1))| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))|A=bot_bo844097828e_bool|is_pname($f149(A,F,F_1))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_f1297739591_pname(F_1,A)),A)).
% 15.63/15.47 0 [] -is_fun_pname_bool(A)| -hBOOL(finite1282449217_pname(F,F_1))| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))|A=bot_bo844097828e_bool|is_pname($f148(A,F,F_1))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_f1297739591_pname(F_1,A)),A)).
% 15.63/15.47 0 [] -is_fun_pname_bool(A)| -hBOOL(finite1282449217_pname(F,F_1))| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))|A=bot_bo844097828e_bool| -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_pname_pname(hAPP_p1170154830_pname(F,$f149(A,F,F_1)),$f148(A,F,F_1))),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,$f149(A,F,F_1)),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,$f148(A,F,F_1)),bot_bo844097828e_bool))))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_f1297739591_pname(F_1,A)),A)).
% 15.63/15.47 0 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A))|hAPP_fun_a_bool_nat(finite_card_a,A)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),hAPP_fun_a_bool_nat(finite_card_a,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool)))).
% 15.63/15.47 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A))|hAPP_f957591787ol_nat(finite_card_int,A)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),hAPP_f957591787ol_nat(finite_card_int,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool)))).
% 15.63/15.47 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A))|hAPP_f22106695ol_nat(finite_card_nat,A)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),hAPP_f22106695ol_nat(finite_card_nat,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool)))).
% 15.63/15.47 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))| -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))|hAPP_f921600141ol_nat(finite_card_pname,A)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),hAPP_f921600141ol_nat(finite_card_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),bot_bo844097828e_bool)))).
% 15.63/15.47 0 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))|hAPP_fun_a_bool_nat(finite_card_a,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),A))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),hAPP_fun_a_bool_nat(finite_card_a,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),bot_bot_fun_a_bool)))).
% 15.63/15.47 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))|hAPP_f957591787ol_nat(finite_card_int,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),A))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),hAPP_f957591787ol_nat(finite_card_int,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),bot_bot_fun_int_bool)))).
% 15.63/15.47 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))|hAPP_f22106695ol_nat(finite_card_nat,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),A))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),hAPP_f22106695ol_nat(finite_card_nat,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),bot_bot_fun_nat_bool)))).
% 15.63/15.47 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))|hAPP_f921600141ol_nat(finite_card_pname,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),A))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),hAPP_f921600141ol_nat(finite_card_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),bot_bo844097828e_bool)))).
% 15.63/15.47 0 [] -hBOOL(finite1432773856em_int(F,F_1))| -hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))|B=bot_bot_fun_int_bool| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),A))|hAPP_int_int(hAPP_int_fun_int_int(F,hAPP_f1594865479ol_int(F_1,B)),hAPP_f1594865479ol_int(F_1,A))=hAPP_f1594865479ol_int(F_1,A).
% 15.63/15.47 0 [] -hBOOL(finite795500164em_nat(F,F_1))| -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))|B=bot_bot_fun_nat_bool| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),A))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(F,hAPP_f22106695ol_nat(F_1,B)),hAPP_f22106695ol_nat(F_1,A))=hAPP_f22106695ol_nat(F_1,A).
% 15.63/15.47 0 [] -is_fun_pname_bool(B)| -hBOOL(finite89670078_pname(F,F_1))| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))|B=bot_bo844097828e_bool| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),A))|hAPP_pname_pname(hAPP_p1170154830_pname(F,hAPP_f1297739591_pname(F_1,B)),hAPP_f1297739591_pname(F_1,A))=hAPP_f1297739591_pname(F_1,A).
% 15.63/15.47 0 [] -is_fun_a_bool(B)| -hBOOL(finite1819937229idem_a(F,F_1))| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))|B=bot_bot_fun_a_bool| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),A))|hAPP_a_a(hAPP_a_fun_a_a(F,hAPP_fun_a_bool_a(F_1,B)),hAPP_fun_a_bool_a(F_1,A))=hAPP_fun_a_bool_a(F_1,A).
% 15.63/15.47 0 [] -is_fun_a_bool(A)| -hBOOL(finite1819937229idem_a(F,F_1))| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))|A=bot_bot_fun_a_bool|hAPP_fun_a_bool_a(F_1,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),A))=hAPP_a_a(hAPP_a_fun_a_a(F,X_1),hAPP_fun_a_bool_a(F_1,A)).
% 15.63/15.47 0 [] -hBOOL(finite1432773856em_int(F,F_1))| -hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))|A=bot_bot_fun_int_bool|hAPP_f1594865479ol_int(F_1,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,X_1),A))=hAPP_int_int(hAPP_int_fun_int_int(F,X_1),hAPP_f1594865479ol_int(F_1,A)).
% 15.63/15.47 0 [] -hBOOL(finite795500164em_nat(F,F_1))| -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))|A=bot_bot_fun_nat_bool|hAPP_f22106695ol_nat(F_1,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,X_1),A))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(F,X_1),hAPP_f22106695ol_nat(F_1,A)).
% 15.63/15.47 0 [] -is_fun_pname_bool(A)| -hBOOL(finite89670078_pname(F,F_1))| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))|A=bot_bo844097828e_bool|hAPP_f1297739591_pname(F_1,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X_1),A))=hAPP_pname_pname(hAPP_p1170154830_pname(F,X_1),hAPP_f1297739591_pname(F_1,A)).
% 15.63/15.47 0 [] -is_fun_a_bool(F_1)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,F_1))|F_1=bot_bot_fun_a_bool|is_a($f150(Pa,F_1))|is_a($f152(Pa,F_1))|hBOOL(hAPP_fun_a_bool_bool(Pa,F_1)).
% 15.63/15.47 0 [] -is_fun_a_bool(F_1)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,F_1))|F_1=bot_bot_fun_a_bool|is_a($f150(Pa,F_1))|is_fun_a_bool($f151(Pa,F_1))|hBOOL(hAPP_fun_a_bool_bool(Pa,F_1)).
% 15.63/15.47 0 [] -is_fun_a_bool(F_1)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,F_1))|F_1=bot_bot_fun_a_bool|is_a($f150(Pa,F_1))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,$f151(Pa,F_1)))|hBOOL(hAPP_fun_a_bool_bool(Pa,F_1)).
% 15.63/15.47 0 [] -is_fun_a_bool(F_1)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,F_1))|F_1=bot_bot_fun_a_bool|is_a($f150(Pa,F_1))|$f151(Pa,F_1)!=bot_bot_fun_a_bool|hBOOL(hAPP_fun_a_bool_bool(Pa,F_1)).
% 15.63/15.47 0 [] -is_fun_a_bool(F_1)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,F_1))|F_1=bot_bot_fun_a_bool|is_a($f150(Pa,F_1))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,$f152(Pa,F_1)),$f151(Pa,F_1)))|hBOOL(hAPP_fun_a_bool_bool(Pa,F_1)).
% 15.63/15.47 0 [] -is_fun_a_bool(F_1)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,F_1))|F_1=bot_bot_fun_a_bool|is_a($f150(Pa,F_1))|hBOOL(hAPP_fun_a_bool_bool(Pa,$f151(Pa,F_1)))|hBOOL(hAPP_fun_a_bool_bool(Pa,F_1)).
% 15.63/15.47 0 [] -is_fun_a_bool(F_1)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,F_1))|F_1=bot_bot_fun_a_bool|is_a($f150(Pa,F_1))| -hBOOL(hAPP_fun_a_bool_bool(Pa,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,$f152(Pa,F_1)),$f151(Pa,F_1))))|hBOOL(hAPP_fun_a_bool_bool(Pa,F_1)).
% 15.63/15.47 0 [] -is_fun_a_bool(F_1)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,F_1))|F_1=bot_bot_fun_a_bool| -hBOOL(hAPP_fun_a_bool_bool(Pa,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,$f150(Pa,F_1)),bot_bot_fun_a_bool)))|is_a($f152(Pa,F_1))|hBOOL(hAPP_fun_a_bool_bool(Pa,F_1)).
% 15.63/15.47 0 [] -is_fun_a_bool(F_1)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,F_1))|F_1=bot_bot_fun_a_bool| -hBOOL(hAPP_fun_a_bool_bool(Pa,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,$f150(Pa,F_1)),bot_bot_fun_a_bool)))|is_fun_a_bool($f151(Pa,F_1))|hBOOL(hAPP_fun_a_bool_bool(Pa,F_1)).
% 15.63/15.47 0 [] -is_fun_a_bool(F_1)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,F_1))|F_1=bot_bot_fun_a_bool| -hBOOL(hAPP_fun_a_bool_bool(Pa,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,$f150(Pa,F_1)),bot_bot_fun_a_bool)))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,$f151(Pa,F_1)))|hBOOL(hAPP_fun_a_bool_bool(Pa,F_1)).
% 15.63/15.48 0 [] -is_fun_a_bool(F_1)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,F_1))|F_1=bot_bot_fun_a_bool| -hBOOL(hAPP_fun_a_bool_bool(Pa,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,$f150(Pa,F_1)),bot_bot_fun_a_bool)))|$f151(Pa,F_1)!=bot_bot_fun_a_bool|hBOOL(hAPP_fun_a_bool_bool(Pa,F_1)).
% 15.63/15.48 0 [] -is_fun_a_bool(F_1)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,F_1))|F_1=bot_bot_fun_a_bool| -hBOOL(hAPP_fun_a_bool_bool(Pa,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,$f150(Pa,F_1)),bot_bot_fun_a_bool)))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,$f152(Pa,F_1)),$f151(Pa,F_1)))|hBOOL(hAPP_fun_a_bool_bool(Pa,F_1)).
% 15.63/15.48 0 [] -is_fun_a_bool(F_1)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,F_1))|F_1=bot_bot_fun_a_bool| -hBOOL(hAPP_fun_a_bool_bool(Pa,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,$f150(Pa,F_1)),bot_bot_fun_a_bool)))|hBOOL(hAPP_fun_a_bool_bool(Pa,$f151(Pa,F_1)))|hBOOL(hAPP_fun_a_bool_bool(Pa,F_1)).
% 15.63/15.48 0 [] -is_fun_a_bool(F_1)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,F_1))|F_1=bot_bot_fun_a_bool| -hBOOL(hAPP_fun_a_bool_bool(Pa,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,$f150(Pa,F_1)),bot_bot_fun_a_bool)))| -hBOOL(hAPP_fun_a_bool_bool(Pa,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,$f152(Pa,F_1)),$f151(Pa,F_1))))|hBOOL(hAPP_fun_a_bool_bool(Pa,F_1)).
% 15.63/15.48 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,F_1))|F_1=bot_bot_fun_int_bool| -hBOOL(hAPP_f448129468l_bool(Pa,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,$f153(Pa,F_1)),bot_bot_fun_int_bool)))|hBOOL(hAPP_f448129468l_bool(finite_finite_int,$f154(Pa,F_1)))|hBOOL(hAPP_f448129468l_bool(Pa,F_1)).
% 15.63/15.48 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,F_1))|F_1=bot_bot_fun_int_bool| -hBOOL(hAPP_f448129468l_bool(Pa,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,$f153(Pa,F_1)),bot_bot_fun_int_bool)))|$f154(Pa,F_1)!=bot_bot_fun_int_bool|hBOOL(hAPP_f448129468l_bool(Pa,F_1)).
% 15.63/15.48 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,F_1))|F_1=bot_bot_fun_int_bool| -hBOOL(hAPP_f448129468l_bool(Pa,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,$f153(Pa,F_1)),bot_bot_fun_int_bool)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,$f155(Pa,F_1)),$f154(Pa,F_1)))|hBOOL(hAPP_f448129468l_bool(Pa,F_1)).
% 15.63/15.48 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,F_1))|F_1=bot_bot_fun_int_bool| -hBOOL(hAPP_f448129468l_bool(Pa,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,$f153(Pa,F_1)),bot_bot_fun_int_bool)))|hBOOL(hAPP_f448129468l_bool(Pa,$f154(Pa,F_1)))|hBOOL(hAPP_f448129468l_bool(Pa,F_1)).
% 15.63/15.48 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,F_1))|F_1=bot_bot_fun_int_bool| -hBOOL(hAPP_f448129468l_bool(Pa,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,$f153(Pa,F_1)),bot_bot_fun_int_bool)))| -hBOOL(hAPP_f448129468l_bool(Pa,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,$f155(Pa,F_1)),$f154(Pa,F_1))))|hBOOL(hAPP_f448129468l_bool(Pa,F_1)).
% 15.63/15.48 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,F_1))|F_1=bot_bot_fun_nat_bool| -hBOOL(hAPP_f54304608l_bool(Pa,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,$f156(Pa,F_1)),bot_bot_fun_nat_bool)))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,$f157(Pa,F_1)))|hBOOL(hAPP_f54304608l_bool(Pa,F_1)).
% 15.63/15.48 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,F_1))|F_1=bot_bot_fun_nat_bool| -hBOOL(hAPP_f54304608l_bool(Pa,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,$f156(Pa,F_1)),bot_bot_fun_nat_bool)))|$f157(Pa,F_1)!=bot_bot_fun_nat_bool|hBOOL(hAPP_f54304608l_bool(Pa,F_1)).
% 15.63/15.48 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,F_1))|F_1=bot_bot_fun_nat_bool| -hBOOL(hAPP_f54304608l_bool(Pa,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,$f156(Pa,F_1)),bot_bot_fun_nat_bool)))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f158(Pa,F_1)),$f157(Pa,F_1)))|hBOOL(hAPP_f54304608l_bool(Pa,F_1)).
% 15.63/15.48 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,F_1))|F_1=bot_bot_fun_nat_bool| -hBOOL(hAPP_f54304608l_bool(Pa,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,$f156(Pa,F_1)),bot_bot_fun_nat_bool)))|hBOOL(hAPP_f54304608l_bool(Pa,$f157(Pa,F_1)))|hBOOL(hAPP_f54304608l_bool(Pa,F_1)).
% 15.63/15.48 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,F_1))|F_1=bot_bot_fun_nat_bool| -hBOOL(hAPP_f54304608l_bool(Pa,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,$f156(Pa,F_1)),bot_bot_fun_nat_bool)))| -hBOOL(hAPP_f54304608l_bool(Pa,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,$f158(Pa,F_1)),$f157(Pa,F_1))))|hBOOL(hAPP_f54304608l_bool(Pa,F_1)).
% 15.63/15.48 0 [] -is_fun_pname_bool(F_1)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1))|F_1=bot_bo844097828e_bool|is_pname($f159(Pa,F_1))|is_pname($f161(Pa,F_1))|hBOOL(hAPP_f1664156314l_bool(Pa,F_1)).
% 15.63/15.48 0 [] -is_fun_pname_bool(F_1)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1))|F_1=bot_bo844097828e_bool|is_pname($f159(Pa,F_1))|is_fun_pname_bool($f160(Pa,F_1))|hBOOL(hAPP_f1664156314l_bool(Pa,F_1)).
% 15.63/15.48 0 [] -is_fun_pname_bool(F_1)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1))|F_1=bot_bo844097828e_bool|is_pname($f159(Pa,F_1))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,$f160(Pa,F_1)))|hBOOL(hAPP_f1664156314l_bool(Pa,F_1)).
% 15.63/15.48 0 [] -is_fun_pname_bool(F_1)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1))|F_1=bot_bo844097828e_bool|is_pname($f159(Pa,F_1))|$f160(Pa,F_1)!=bot_bo844097828e_bool|hBOOL(hAPP_f1664156314l_bool(Pa,F_1)).
% 15.63/15.48 0 [] -is_fun_pname_bool(F_1)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1))|F_1=bot_bo844097828e_bool|is_pname($f159(Pa,F_1))| -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,$f161(Pa,F_1)),$f160(Pa,F_1)))|hBOOL(hAPP_f1664156314l_bool(Pa,F_1)).
% 15.63/15.48 0 [] -is_fun_pname_bool(F_1)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1))|F_1=bot_bo844097828e_bool|is_pname($f159(Pa,F_1))|hBOOL(hAPP_f1664156314l_bool(Pa,$f160(Pa,F_1)))|hBOOL(hAPP_f1664156314l_bool(Pa,F_1)).
% 15.63/15.48 0 [] -is_fun_pname_bool(F_1)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1))|F_1=bot_bo844097828e_bool|is_pname($f159(Pa,F_1))| -hBOOL(hAPP_f1664156314l_bool(Pa,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,$f161(Pa,F_1)),$f160(Pa,F_1))))|hBOOL(hAPP_f1664156314l_bool(Pa,F_1)).
% 15.63/15.48 0 [] -is_fun_pname_bool(F_1)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1))|F_1=bot_bo844097828e_bool| -hBOOL(hAPP_f1664156314l_bool(Pa,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,$f159(Pa,F_1)),bot_bo844097828e_bool)))|is_pname($f161(Pa,F_1))|hBOOL(hAPP_f1664156314l_bool(Pa,F_1)).
% 15.63/15.48 0 [] -is_fun_pname_bool(F_1)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1))|F_1=bot_bo844097828e_bool| -hBOOL(hAPP_f1664156314l_bool(Pa,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,$f159(Pa,F_1)),bot_bo844097828e_bool)))|is_fun_pname_bool($f160(Pa,F_1))|hBOOL(hAPP_f1664156314l_bool(Pa,F_1)).
% 15.63/15.48 0 [] -is_fun_pname_bool(F_1)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1))|F_1=bot_bo844097828e_bool| -hBOOL(hAPP_f1664156314l_bool(Pa,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,$f159(Pa,F_1)),bot_bo844097828e_bool)))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,$f160(Pa,F_1)))|hBOOL(hAPP_f1664156314l_bool(Pa,F_1)).
% 15.63/15.48 0 [] -is_fun_pname_bool(F_1)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1))|F_1=bot_bo844097828e_bool| -hBOOL(hAPP_f1664156314l_bool(Pa,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,$f159(Pa,F_1)),bot_bo844097828e_bool)))|$f160(Pa,F_1)!=bot_bo844097828e_bool|hBOOL(hAPP_f1664156314l_bool(Pa,F_1)).
% 15.63/15.48 0 [] -is_fun_pname_bool(F_1)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1))|F_1=bot_bo844097828e_bool| -hBOOL(hAPP_f1664156314l_bool(Pa,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,$f159(Pa,F_1)),bot_bo844097828e_bool)))| -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,$f161(Pa,F_1)),$f160(Pa,F_1)))|hBOOL(hAPP_f1664156314l_bool(Pa,F_1)).
% 15.63/15.48 0 [] -is_fun_pname_bool(F_1)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1))|F_1=bot_bo844097828e_bool| -hBOOL(hAPP_f1664156314l_bool(Pa,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,$f159(Pa,F_1)),bot_bo844097828e_bool)))|hBOOL(hAPP_f1664156314l_bool(Pa,$f160(Pa,F_1)))|hBOOL(hAPP_f1664156314l_bool(Pa,F_1)).
% 15.63/15.48 0 [] -is_fun_pname_bool(F_1)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1))|F_1=bot_bo844097828e_bool| -hBOOL(hAPP_f1664156314l_bool(Pa,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,$f159(Pa,F_1)),bot_bo844097828e_bool)))| -hBOOL(hAPP_f1664156314l_bool(Pa,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,$f161(Pa,F_1)),$f160(Pa,F_1))))|hBOOL(hAPP_f1664156314l_bool(Pa,F_1)).
% 15.63/15.48 0 [] hAPP_fun_a_bool_a(the_elem_a,X_3)=hAPP_fun_a_bool_a(the_a,cOMBB_1273333599bool_a(hAPP_f1631501043l_bool(fe_qual_fun_a_bool,X_3),hAPP_f1038053735a_bool(cOMBC_394484100a_bool(insert_a),bot_bot_fun_a_bool))).
% 15.63/15.48 0 [] hAPP_f22106695ol_nat(the_elem_nat,X_3)=hAPP_f22106695ol_nat(the_nat,cOMBB_955900739ol_nat(hAPP_f103356543l_bool(fe_qual_fun_nat_bool,X_3),hAPP_f1570313510t_bool(cOMBC_178881787t_bool(insert_nat),bot_bot_fun_nat_bool))).
% 15.63/15.48 0 [] hAPP_f1594865479ol_int(the_elem_int,X_3)=hAPP_f1594865479ol_int(the_int,cOMBB_1418110531ol_int(hAPP_f284875647l_bool(fe_qual_fun_int_bool,X_3),hAPP_f1048215610t_bool(cOMBC_1683390479t_bool(insert_int),bot_bot_fun_int_bool))).
% 15.63/15.48 0 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_13),B_14)),C_10)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_13),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_14),C_10)).
% 15.63/15.48 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_13),B_14)),C_10)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_13),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_14),C_10)).
% 15.63/15.48 0 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_2),B_3)!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_2),C_6)|B_3=C_6.
% 15.63/15.48 0 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_2),B_3)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_2),C_6)|B_3!=C_6.
% 15.63/15.48 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_2),B_3)!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_2),C_6)|B_3=C_6.
% 15.63/15.48 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_2),B_3)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_2),C_6)|B_3!=C_6.
% 15.63/15.48 0 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_3),A_2)!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_6),A_2)|B_3=C_6.
% 15.63/15.48 0 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_3),A_2)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_6),A_2)|B_3!=C_6.
% 15.63/15.48 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_3),A_2)!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_6),A_2)|B_3=C_6.
% 15.63/15.48 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_3),A_2)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_6),A_2)|B_3!=C_6.
% 15.63/15.48 0 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_12),B_13)!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_12),C_9)|B_13=C_9.
% 15.63/15.48 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_12),B_13)!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_12),C_9)|B_13=C_9.
% 15.63/15.48 0 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_11),B_12)!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_11),C_8)|B_12=C_8.
% 15.63/15.48 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_11),B_12)!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_11),C_8)|B_12=C_8.
% 15.63/15.48 0 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_11),A_10)!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_7),A_10)|B_11=C_7.
% 15.63/15.48 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_11),A_10)!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_7),A_10)|B_11=C_7.
% 15.63/15.48 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N),M_1).
% 15.63/15.48 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))=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)).
% 15.63/15.48 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)),K_1)=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),K_1)).
% 15.63/15.48 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K),M)!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K),Na)|M=Na.
% 15.63/15.48 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K),M)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K),Na)|M!=Na.
% 15.63/15.48 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),K)!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Na),K)|M=Na.
% 15.63/15.48 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),K)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Na),K)|M!=Na.
% 15.63/15.48 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_2),C_6)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_3),C_6)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_2),B_3)).
% 15.63/15.48 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_2),C_6)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_3),C_6)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_2),B_3)).
% 15.63/15.48 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_2),C_6)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_3),C_6)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_2),B_3)).
% 15.63/15.48 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_2),C_6)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_3),C_6)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_2),B_3)).
% 15.63/15.48 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_6),A_2)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_6),B_3)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_2),B_3)).
% 15.63/15.48 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_6),A_2)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_6),B_3)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_2),B_3)).
% 15.63/15.48 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_6),A_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_6),B_3)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_2),B_3)).
% 15.63/15.48 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_6),A_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_6),B_3)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_2),B_3)).
% 15.63/15.48 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_9),B_10))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_9),C_5)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_10),C_5))).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_9),B_10))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_9),C_5)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_10),C_5))).
% 15.63/15.48 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_8),B_9))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_4),A_8)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_4),B_9))).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_8),B_9))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_4),A_8)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_4),B_9))).
% 15.63/15.48 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_7),B_8))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_3),D_3))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_7),C_3)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_8),D_3))).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_7),B_8))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_3),D_3))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_7),C_3)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_8),D_3))).
% 15.63/15.48 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_6),C_2)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_7),C_2)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_6),B_7)).
% 15.63/15.48 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_6),C_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_7),C_2)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_6),B_7)).
% 15.63/15.48 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_1),A_5)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_1),B_6)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_5),B_6)).
% 15.63/15.48 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_1),A_5)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_1),B_6)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_5),B_6)).
% 15.63/15.48 0 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_4),B_5)),B_5)=A_4.
% 15.63/15.48 0 [] hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_3),B_4)),B_4)=A_3.
% 15.63/15.48 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),hAPP_nat_nat(suc,N))=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N)).
% 15.63/15.48 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(suc,M_1)),N)=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N)).
% 15.63/15.48 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(suc,M_1)),N)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),hAPP_nat_nat(suc,N)).
% 15.63/15.48 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N))).
% 15.63/15.48 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N),M_1))).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),Na))|Na=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),$f162(M,Na)).
% 15.63/15.48 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),Na))|Na!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),K_2).
% 15.63/15.48 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),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K),Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),Na)).
% 15.63/15.48 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),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K),Na)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),Na)).
% 15.63/15.48 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,I_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J),M_1))).
% 15.63/15.48 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,I_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),J))).
% 15.63/15.48 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,I_1),K_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J),K_1))).
% 15.63/15.48 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,K_1),L_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)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J),L_1))).
% 15.63/15.48 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_1)),N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),N)).
% 15.63/15.48 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_1)),N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N)).
% 15.63/15.48 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_1)),N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N)).
% 15.63/15.48 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_1)),N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),N)).
% 15.63/15.48 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)),N)=M_1.
% 15.63/15.48 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N),M_1)),N)=M_1.
% 15.63/15.48 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,I_1),J)),K_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,I_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J),K_1)).
% 15.63/15.48 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_1),M_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_1),N))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N).
% 15.63/15.48 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_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N),K_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),J))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,I_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J),K_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_1),K_1)),J).
% 15.63/15.48 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_1),K)),I_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_2),K))).
% 15.63/15.48 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_1),K)),I_2))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_2),K))).
% 15.63/15.48 0 [] -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,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),M_1)),K_1))).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),M_1))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N))=M_1.
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),J))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J),K_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_1),J)),K_1).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),J_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J_1),K)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_2),K)),J_1)).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),J_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J_1),K)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_2),K)),J_1)).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),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)),N)=M_1.
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),J_1))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J_1),I_2)!=K|J_1=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K),I_2).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),J_1))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J_1),I_2)=K|J_1!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K),I_2).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),J))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_1),J)),K_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J),K_1)).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),J))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J),K_1)),I_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J),I_1)),K_1).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),J))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J),I_1)),K_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J),K_1)),I_1).
% 15.63/15.48 0 [] hAPP_nat_nat(suc,N)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),N).
% 15.63/15.48 0 [] hAPP_nat_nat(suc,N)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N),one_one_nat).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),J))|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),K_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_1)),hAPP_nat_nat(suc,J)).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),J))|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),K_1))),M_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(suc,J)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_1),M_1)).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X),Z))|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))).
% 15.63/15.48 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))).
% 15.63/15.48 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),hAPP_nat_nat(suc,N))).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,M_1)),hAPP_nat_nat(suc,N))).
% 15.63/15.48 0 [] hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_nat),K)))).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),N)).
% 15.63/15.48 0 [] M=Na|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),M)).
% 15.63/15.48 0 [] M!=Na| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na)).
% 15.63/15.48 0 [] M!=Na| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),M)).
% 15.63/15.48 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)).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),N)).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),M_1))|M_1!=N.
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,S),T))|S!=T.
% 15.63/15.48 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na))|M=Na|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),M))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(Pa,Na),M)).
% 15.63/15.48 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),hAPP_nat_nat(suc,M))).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),hAPP_nat_nat(suc,M))).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),hAPP_nat_nat(suc,Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na))|M=Na.
% 15.63/15.48 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),hAPP_nat_nat(suc,Na)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na)).
% 15.63/15.48 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),hAPP_nat_nat(suc,Na)))|M!=Na.
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,M)),hAPP_nat_nat(suc,Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na)).
% 15.63/15.48 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,M)),hAPP_nat_nat(suc,Na)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na)).
% 15.63/15.48 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),M))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),hAPP_nat_nat(suc,M)))|Na=M.
% 15.63/15.48 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),M))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),hAPP_nat_nat(suc,M)))|Na!=M.
% 15.63/15.48 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),M_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),hAPP_nat_nat(suc,M_1)))|M_1=N.
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),hAPP_nat_nat(suc,N))).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N))|hAPP_nat_nat(suc,M_1)=N|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,M_1)),N)).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),J))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J),K_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,I_1)),K_1)).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),hAPP_nat_nat(suc,N)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N))|M_1=N.
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,M_1)),N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N)).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,M_1)),hAPP_nat_nat(suc,N)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N)).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_1),J)),I_1)).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J),I_1)),I_1)).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K),Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na)).
% 15.63/15.48 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K),Na)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na)).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),J))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J),M_1))).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),J))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),J))).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_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,I_1),K_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J),K_1))).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),J))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,K_1),L_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)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J),L_1))).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,K_1),L_1))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),L_1)!=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_1),N)).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_1),J)),K_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),K_1)).
% 15.63/15.48 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))).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X),Z))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Y),Z))).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),Na)).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na))|M!=Na.
% 15.63/15.48 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),Na))|M=Na.
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),Na))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na))|M=Na.
% 15.63/15.48 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),Na))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na)).
% 15.63/15.48 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),Na))|M!=Na.
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N)).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N))|M_1=N|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N)).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N)).
% 15.63/15.48 0 [] M_1!=N|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N)).
% 15.63/15.48 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)).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J),K_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J),N)),K_1)).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),L_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,L_1),N)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,L_1),M_1))).
% 15.63/15.48 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,N_2))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),N_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_2),$f163(N_2))).
% 15.63/15.48 0 [] hBOOL(hAPP_f54304608l_bool(finite_finite_nat,N_2))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f164(N_2,M_2)),N_2)).
% 15.63/15.48 0 [] hBOOL(hAPP_f54304608l_bool(finite_finite_nat,N_2))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f164(N_2,M_2)),M_2)).
% 15.63/15.48 0 [] hAPP_f22106695ol_nat(finite_card_nat,collect_nat(hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_nat),Na)))=Na.
% 15.63/15.48 0 [] hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,Pa),hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_nat),I_2))))).
% 15.63/15.48 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_1),M_1)))).
% 15.63/15.48 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),I_1)))).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na))|Na=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),$f165(M,Na))).
% 15.63/15.48 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na))|Na!=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),K_2)).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),M))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,Na)),M)).
% 15.63/15.48 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),M))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,Na)),M)).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),hAPP_nat_nat(suc,Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),Na)).
% 15.63/15.48 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),hAPP_nat_nat(suc,Na)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),Na)).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,M)),Na))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na)).
% 15.63/15.48 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,M)),Na))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na)).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),hAPP_nat_nat(suc,N))).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,M_1)),N)).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),Na))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),hAPP_nat_nat(suc,M)))|Na=M.
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),Na))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),hAPP_nat_nat(suc,M)))|Na!=M.
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,M_1)),N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N)).
% 15.63/15.48 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)),hAPP_nat_nat(suc,M_1))).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J_1),K)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_2),K)),J_1)).
% 15.63/15.48 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J_1),K)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_2),K)),J_1)).
% 15.63/15.48 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N))=M_1.
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_1),B_2))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C),A_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,A_1),C)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,B_2),C))).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),M))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),Na))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),K)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,Na),K)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na)).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),M))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),Na))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),K)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,Na),K)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na)).
% 15.63/15.48 0 [] hAPP_n1699378549t_bool(ord_less_nat,X_2)=hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,X_2)).
% 15.63/15.48 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f167(M,K,F)),$f166(M,K,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)),hAPP_nat_nat(F,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),K)))).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(F,$f167(M,K,F))),hAPP_nat_nat(F,$f166(M,K,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)),hAPP_nat_nat(F,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),K)))).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),J_1))| -hBOOL(hAPP_nat_bool(Pa,J_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f168(Pa,I_2,J_1)),J_1))|hBOOL(hAPP_nat_bool(Pa,I_2)).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),J_1))| -hBOOL(hAPP_nat_bool(Pa,J_1))|hBOOL(hAPP_nat_bool(Pa,hAPP_nat_nat(suc,$f168(Pa,I_2,J_1))))|hBOOL(hAPP_nat_bool(Pa,I_2)).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),J_1))| -hBOOL(hAPP_nat_bool(Pa,J_1))| -hBOOL(hAPP_nat_bool(Pa,$f168(Pa,I_2,J_1)))|hBOOL(hAPP_nat_bool(Pa,I_2)).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N))|N=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),$f169(M_1,N))).
% 15.63/15.48 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f170(Na,N_2)),N_2))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,N_2)).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f170(Na,N_2)),Na))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,N_2)).
% 15.63/15.48 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f172(I_2,J_1,F)),$f171(I_2,J_1,F)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),J_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(F,I_2)),hAPP_nat_nat(F,J_1))).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(F,$f172(I_2,J_1,F))),hAPP_nat_nat(F,$f171(I_2,J_1,F))))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),J_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(F,I_2)),hAPP_nat_nat(F,J_1))).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),K_1))|K_1=hAPP_nat_nat(suc,I_1)|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),$f173(I_1,K_1))).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),K_1))|K_1=hAPP_nat_nat(suc,I_1)|K_1=hAPP_nat_nat(suc,$f173(I_1,K_1)).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,I_1)),K_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),$f174(I_1,K_1))).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,I_1)),K_1))|K_1=hAPP_nat_nat(suc,$f174(I_1,K_1)).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),zero_zero_nat)).
% 15.63/15.48 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),N)).
% 15.63/15.48 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(suc,N))).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Na),zero_zero_nat))|Na=zero_zero_nat.
% 15.63/15.48 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Na),zero_zero_nat))|Na!=zero_zero_nat.
% 15.63/15.48 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),N)).
% 15.63/15.48 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N)!=zero_zero_nat|hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),M_1)!=zero_zero_nat|M_1=N.
% 15.63/15.48 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),M_1)=zero_zero_nat.
% 15.63/15.48 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),zero_zero_nat)=M_1.
% 15.63/15.48 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,zero_zero_nat),N)=zero_zero_nat.
% 15.63/15.48 0 [] bot_bot_nat=zero_zero_nat.
% 15.63/15.48 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N)!=M_1|N=zero_zero_nat.
% 15.63/15.48 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),Na)!=zero_zero_nat|M=zero_zero_nat.
% 15.63/15.48 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),Na)!=zero_zero_nat|Na=zero_zero_nat.
% 15.63/15.48 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),Na)=zero_zero_nat|M!=zero_zero_nat|Na!=zero_zero_nat.
% 15.63/15.48 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),zero_zero_nat)=M_1.
% 15.63/15.48 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,zero_zero_nat),N)=N.
% 15.63/15.48 0 [] N=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N)).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N))|N!=zero_zero_nat.
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),zero_zero_nat)).
% 15.63/15.48 0 [] Na=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na)).
% 15.63/15.48 0 [] Na!=zero_zero_nat| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na)).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),zero_zero_nat)).
% 15.63/15.48 0 [] hAPP_nat_nat(suc,M_1)!=zero_zero_nat.
% 15.63/15.48 0 [] zero_zero_nat!=hAPP_nat_nat(suc,M_1).
% 15.63/15.48 0 [] hAPP_nat_nat(suc,Nat_2)!=zero_zero_nat.
% 15.63/15.48 0 [] hAPP_nat_nat(suc,M_1)!=zero_zero_nat.
% 15.63/15.48 0 [] zero_zero_nat!=hAPP_nat_nat(suc,Nat_1).
% 15.63/15.48 0 [] zero_zero_nat!=hAPP_nat_nat(suc,M_1).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na))|Na=hAPP_nat_nat(suc,$f175(Na)).
% 15.63/15.48 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na))|Na!=hAPP_nat_nat(suc,M_2).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),hAPP_nat_nat(suc,zero_zero_nat)))|Na=zero_zero_nat.
% 15.63/15.48 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),hAPP_nat_nat(suc,zero_zero_nat)))|Na!=zero_zero_nat.
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),hAPP_nat_nat(suc,Na)))|M=zero_zero_nat|M=hAPP_nat_nat(suc,$f176(M,Na)).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),hAPP_nat_nat(suc,Na)))|M=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f176(M,Na)),Na)).
% 15.63/15.48 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),hAPP_nat_nat(suc,Na)))|M!=zero_zero_nat.
% 15.63/15.48 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),hAPP_nat_nat(suc,Na)))|M!=hAPP_nat_nat(suc,J_2)| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J_2),Na)).
% 15.63/15.48 0 [] hAPP_nat_nat(suc,zero_zero_nat)!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),Na)|M=hAPP_nat_nat(suc,zero_zero_nat)|M=zero_zero_nat.
% 15.63/15.48 0 [] hAPP_nat_nat(suc,zero_zero_nat)!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),Na)|M=hAPP_nat_nat(suc,zero_zero_nat)|Na=hAPP_nat_nat(suc,zero_zero_nat).
% 15.63/15.48 0 [] hAPP_nat_nat(suc,zero_zero_nat)!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),Na)|Na=zero_zero_nat|M=zero_zero_nat.
% 15.63/15.48 0 [] hAPP_nat_nat(suc,zero_zero_nat)!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),Na)|Na=zero_zero_nat|Na=hAPP_nat_nat(suc,zero_zero_nat).
% 15.63/15.48 0 [] hAPP_nat_nat(suc,zero_zero_nat)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),Na)|M!=hAPP_nat_nat(suc,zero_zero_nat)|Na!=zero_zero_nat.
% 15.63/15.48 0 [] hAPP_nat_nat(suc,zero_zero_nat)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),Na)|M!=zero_zero_nat|Na!=hAPP_nat_nat(suc,zero_zero_nat).
% 15.63/15.48 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),Na)!=hAPP_nat_nat(suc,zero_zero_nat)|M=hAPP_nat_nat(suc,zero_zero_nat)|M=zero_zero_nat.
% 15.63/15.48 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),Na)!=hAPP_nat_nat(suc,zero_zero_nat)|M=hAPP_nat_nat(suc,zero_zero_nat)|Na=hAPP_nat_nat(suc,zero_zero_nat).
% 15.63/15.48 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),Na)!=hAPP_nat_nat(suc,zero_zero_nat)|Na=zero_zero_nat|M=zero_zero_nat.
% 15.63/15.48 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),Na)!=hAPP_nat_nat(suc,zero_zero_nat)|Na=zero_zero_nat|Na=hAPP_nat_nat(suc,zero_zero_nat).
% 15.63/15.48 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),Na)=hAPP_nat_nat(suc,zero_zero_nat)|M!=hAPP_nat_nat(suc,zero_zero_nat)|Na!=zero_zero_nat.
% 15.63/15.48 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),Na)=hAPP_nat_nat(suc,zero_zero_nat)|M!=zero_zero_nat|Na!=hAPP_nat_nat(suc,zero_zero_nat).
% 15.63/15.48 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),Na)))|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),Na)).
% 15.63/15.48 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),Na)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),M)).
% 15.63/15.48 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),Na)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na)).
% 15.63/15.48 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,Na),M)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na)).
% 15.63/15.48 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,Na),M)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na)).
% 15.63/15.48 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,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)),M_1)).
% 15.63/15.48 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N),M_1))=zero_zero_nat.
% 15.63/15.48 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),Na)!=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),Na)).
% 15.63/15.48 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),Na)=zero_zero_nat| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),Na)).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N)=zero_zero_nat.
% 15.63/15.48 0 [] one_one_nat=hAPP_nat_nat(suc,zero_zero_nat).
% 15.63/15.48 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),hAPP_nat_nat(suc,Na))=hAPP_nat_nat(nat_case_nat(zero_zero_nat,cOMBI_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),Na)).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),hAPP_nat_nat(suc,zero_zero_nat)))=N.
% 15.63/15.48 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,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),hAPP_nat_nat(suc,I_1))),N)).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(Pa,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,A_2),B_3)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_2),B_3))|hBOOL(hAPP_nat_bool(Pa,zero_zero_nat)).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(Pa,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,A_2),B_3)))|A_2!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_3),D_2)|hBOOL(hAPP_nat_bool(Pa,D_2)).
% 15.63/15.48 0 [] hBOOL(hAPP_nat_bool(Pa,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,A_2),B_3)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_2),B_3))|A_2=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_3),$f177(Pa,A_2,B_3)).
% 15.63/15.48 0 [] hBOOL(hAPP_nat_bool(Pa,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,A_2),B_3)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_2),B_3))| -hBOOL(hAPP_nat_bool(Pa,$f177(Pa,A_2,B_3))).
% 15.63/15.48 0 [] hBOOL(hAPP_nat_bool(Pa,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,A_2),B_3)))| -hBOOL(hAPP_nat_bool(Pa,zero_zero_nat))|A_2=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_3),$f177(Pa,A_2,B_3)).
% 15.63/15.48 0 [] hBOOL(hAPP_nat_bool(Pa,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,A_2),B_3)))| -hBOOL(hAPP_nat_bool(Pa,zero_zero_nat))| -hBOOL(hAPP_nat_bool(Pa,$f177(Pa,A_2,B_3))).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(Pa,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,A_2),B_3)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_2),B_3))|hBOOL(hAPP_nat_bool(Pa,zero_zero_nat)).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(Pa,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,A_2),B_3)))|A_2!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_3),D_2)|hBOOL(hAPP_nat_bool(Pa,D_2)).
% 15.63/15.48 0 [] hBOOL(hAPP_nat_bool(Pa,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,A_2),B_3)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_2),B_3))|A_2=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_3),$f178(Pa,A_2,B_3)).
% 15.63/15.48 0 [] hBOOL(hAPP_nat_bool(Pa,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,A_2),B_3)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_2),B_3))| -hBOOL(hAPP_nat_bool(Pa,$f178(Pa,A_2,B_3))).
% 15.63/15.48 0 [] hBOOL(hAPP_nat_bool(Pa,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,A_2),B_3)))| -hBOOL(hAPP_nat_bool(Pa,zero_zero_nat))|A_2=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_3),$f178(Pa,A_2,B_3)).
% 15.63/15.48 0 [] hBOOL(hAPP_nat_bool(Pa,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,A_2),B_3)))| -hBOOL(hAPP_nat_bool(Pa,zero_zero_nat))| -hBOOL(hAPP_nat_bool(Pa,$f178(Pa,A_2,B_3))).
% 15.63/15.48 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(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_f800510211t_bool(cOMBC_226598744l_bool(cOMBB_1146692694ol_nat(member_nat,suc)),M_3)),hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_nat),I_2)))))=hAPP_f22106695ol_nat(finite_card_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),M_3)),hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_nat),hAPP_nat_nat(suc,I_2))))).
% 15.63/15.48 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,zero_zero_nat),M_3))|hAPP_f22106695ol_nat(finite_card_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),M_3)),hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_nat),hAPP_nat_nat(suc,I_2)))))!=zero_zero_nat.
% 15.63/15.48 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,zero_zero_nat),M_3))|hAPP_f22106695ol_nat(finite_card_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_f800510211t_bool(cOMBC_226598744l_bool(cOMBB_1146692694ol_nat(member_nat,suc)),M_3)),hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_nat),I_2))))=hAPP_f22106695ol_nat(finite_card_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),M_3)),hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_nat),hAPP_nat_nat(suc,I_2))))).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),one_one_nat))=N.
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|N=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),one_one_nat)).
% 15.63/15.48 0 [] M_1!=zero_zero_nat|hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N)=N.
% 15.63/15.48 0 [] M_1=zero_zero_nat|hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N)=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),one_one_nat)),N)).
% 15.63/15.48 0 [] hBOOL(hAPP_nat_bool(Pa,zero_zero_nat))| -hBOOL(hAPP_nat_bool(Pa,Na))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f179(Na,Pa)),Na)).
% 15.63/15.48 0 [] hBOOL(hAPP_nat_bool(Pa,zero_zero_nat))| -hBOOL(hAPP_nat_bool(Pa,Na))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),$f179(Na,Pa)))| -hBOOL(hAPP_nat_bool(Pa,I)).
% 15.63/15.48 0 [] hBOOL(hAPP_nat_bool(Pa,zero_zero_nat))| -hBOOL(hAPP_nat_bool(Pa,Na))|hBOOL(hAPP_nat_bool(Pa,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,$f179(Na,Pa)),one_one_nat))).
% 15.63/15.48 0 [] hBOOL(hAPP_nat_bool(Pa,zero_zero_nat))| -hBOOL(hAPP_nat_bool(Pa,Na))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,$f180(Na,Pa)),Na)).
% 15.63/15.48 0 [] hBOOL(hAPP_nat_bool(Pa,zero_zero_nat))| -hBOOL(hAPP_nat_bool(Pa,Na))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),$f180(Na,Pa)))| -hBOOL(hAPP_nat_bool(Pa,I)).
% 15.63/15.48 0 [] hBOOL(hAPP_nat_bool(Pa,zero_zero_nat))| -hBOOL(hAPP_nat_bool(Pa,Na))|hBOOL(hAPP_nat_bool(Pa,$f180(Na,Pa))).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),J))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),$f181(I_1,J))).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),J))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_1),$f181(I_1,J))=J.
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))|N=hAPP_nat_nat(suc,$f182(N)).
% 15.63/15.48 0 [] Y=zero_zero_nat|Y=hAPP_nat_nat(suc,$f183(Y)).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(Pa,K))|hBOOL(hAPP_nat_bool(Pa,hAPP_nat_nat(suc,$f184(Pa,K))))|hBOOL(hAPP_nat_bool(Pa,zero_zero_nat)).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(Pa,K))| -hBOOL(hAPP_nat_bool(Pa,$f184(Pa,K)))|hBOOL(hAPP_nat_bool(Pa,zero_zero_nat)).
% 15.63/15.48 0 [] N=zero_zero_nat|N=hAPP_nat_nat(suc,$f185(N)).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(Pa,zero_zero_nat))|hBOOL(hAPP_nat_bool(Pa,$f186(Na,Pa)))|hBOOL(hAPP_nat_bool(Pa,Na)).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(Pa,zero_zero_nat))| -hBOOL(hAPP_nat_bool(Pa,hAPP_nat_nat(suc,$f186(Na,Pa))))|hBOOL(hAPP_nat_bool(Pa,Na)).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),number_number_of_nat(V)))|number_number_of_nat(V)=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,number_number_of_nat(V)),one_one_nat)).
% 15.63/15.48 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,zero_zero_nat),N)=zero_zero_nat.
% 15.63/15.48 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),zero_zero_nat)=zero_zero_nat.
% 15.63/15.48 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),Na)!=zero_zero_nat|M=zero_zero_nat|Na=zero_zero_nat.
% 15.63/15.48 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),Na)=zero_zero_nat|M!=zero_zero_nat.
% 15.63/15.48 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),Na)=zero_zero_nat|Na!=zero_zero_nat.
% 15.63/15.48 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),M)!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),Na)|M=Na|K=zero_zero_nat.
% 15.63/15.48 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),M)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),Na)|M!=Na.
% 15.63/15.48 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),M)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),Na)|K!=zero_zero_nat.
% 15.63/15.48 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),K)!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Na),K)|M=Na|K=zero_zero_nat.
% 15.63/15.48 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),K)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Na),K)|M!=Na.
% 15.63/15.48 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),K)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Na),K)|K!=zero_zero_nat.
% 15.63/15.48 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,K)),M)!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,K)),Na)|M=Na.
% 15.63/15.48 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,K)),M)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,K)),Na)|M!=Na.
% 15.63/15.48 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)),K_1)=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_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N),K_1)).
% 15.63/15.48 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_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),M_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),N)).
% 15.63/15.48 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,K_1),L_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,I_1),K_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,J),L_1))).
% 15.63/15.48 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(times_times_nat,K_1),I_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),J))).
% 15.63/15.48 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(times_times_nat,I_1),K_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,J),K_1))).
% 15.63/15.48 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)))).
% 15.63/15.48 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))).
% 15.63/15.48 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)),K_1)=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_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N),K_1)).
% 15.63/15.48 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),M_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),N)).
% 15.63/15.48 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),Na)!=one_one_nat|M=one_one_nat.
% 15.63/15.48 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),Na)!=one_one_nat|Na=one_one_nat.
% 15.63/15.48 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),Na)=one_one_nat|M!=one_one_nat|Na!=one_one_nat.
% 15.63/15.48 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N),one_one_nat)=N.
% 15.63/15.48 0 [] one_one_nat!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),Na)|M=one_one_nat.
% 15.63/15.48 0 [] one_one_nat!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),Na)|Na=one_one_nat.
% 15.63/15.48 0 [] one_one_nat=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),Na)|M!=one_one_nat|Na!=one_one_nat.
% 15.63/15.48 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,one_one_nat),N)=N.
% 15.63/15.48 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),Na)!=hAPP_nat_nat(suc,zero_zero_nat)|M=hAPP_nat_nat(suc,zero_zero_nat).
% 15.63/15.48 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),Na)!=hAPP_nat_nat(suc,zero_zero_nat)|Na=hAPP_nat_nat(suc,zero_zero_nat).
% 15.63/15.48 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),Na)=hAPP_nat_nat(suc,zero_zero_nat)|M!=hAPP_nat_nat(suc,zero_zero_nat)|Na!=hAPP_nat_nat(suc,zero_zero_nat).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),J))| -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),I_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),J))).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),J))| -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,I_1),K_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,J),K_1))).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),K)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Na),K)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K)).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),K)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Na),K)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na)).
% 15.63/15.48 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),K)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Na),K)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na)).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K)).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na)).
% 15.63/15.48 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),Na)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na)).
% 15.63/15.48 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),Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),M)).
% 15.63/15.48 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),Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na)).
% 15.63/15.48 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),Na)))| -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),Na)).
% 15.63/15.48 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)),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,K)),Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na)).
% 15.63/15.48 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)),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,K)),Na)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na)).
% 15.63/15.48 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),hAPP_nat_nat(suc,N))=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)).
% 15.63/15.48 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,M_1)),N)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),N)).
% 15.63/15.48 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)),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,K)),Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),Na)).
% 15.63/15.48 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)),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,K)),Na)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),Na)).
% 15.63/15.48 0 [] M_1!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),N)|N=one_one_nat|M_1=zero_zero_nat.
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),N))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),M_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),N))).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),N))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),M_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N),M_1))).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),N))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),M_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))).
% 15.63/15.48 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),Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,zero_zero_nat)),M)).
% 15.63/15.48 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),Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,zero_zero_nat)),Na)).
% 15.63/15.48 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),Na)))| -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)),Na)).
% 15.63/15.48 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),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),Na)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),Na)).
% 15.63/15.48 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),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K)).
% 15.63/15.48 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),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),Na)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),Na)).
% 15.63/15.48 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)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Na),K)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),Na)).
% 15.63/15.48 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)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Na),K)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K)).
% 15.63/15.48 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)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Na),K)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),Na)).
% 15.63/15.48 0 [] M_1!=zero_zero_nat|hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),N)=zero_zero_nat.
% 15.63/15.48 0 [] M_1=zero_zero_nat|hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),N)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),one_one_nat)),N)).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),J_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_2),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_1),U)),Na)))|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_1),I_2)),U)),Na))).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),J_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_2),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_1),U)),Na)))| -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_1),I_2)),U)),Na))).
% 15.63/15.48 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),N)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N),M_1).
% 15.63/15.48 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)),K_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,N),K_1)).
% 15.63/15.48 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(K)),number_number_of_int(L)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),L)).
% 15.63/15.48 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(K)),number_number_of_int(L)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),L)).
% 15.63/15.48 0 [] hAPP_int_int(hAPP_int_fun_int_int(times_times_int,one_one_int),Z)=Z.
% 15.63/15.48 0 [] hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Z),one_one_int)=Z.
% 15.63/15.48 0 [] hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Z),W)=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,W),Z).
% 15.63/15.48 0 [] hAPP_int_int(hAPP_int_fun_int_int(times_times_int,number_number_of_int(V)),number_number_of_int(W))=number_number_of_int(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,V),W)).
% 15.63/15.48 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)).
% 15.63/15.48 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,number_number_of_int(K)),number_number_of_int(L)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),L)).
% 15.63/15.48 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,number_number_of_int(K)),number_number_of_int(L)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),L)).
% 15.63/15.48 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)).
% 15.63/15.48 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)).
% 15.63/15.48 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)).
% 15.63/15.48 0 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,number_number_of_int(V)),number_number_of_int(W))=number_number_of_int(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V),W)).
% 15.63/15.48 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)).
% 15.63/15.48 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,I_1),J))| -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,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),I_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),J))).
% 15.63/15.48 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),Na)!=one_one_int|M=one_one_int.
% 15.63/15.48 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),Na)!=one_one_int|Na=one_one_int.
% 15.63/15.48 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),Na)=one_one_int|M!=one_one_int|Na!=one_one_int.
% 15.63/15.48 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)),Z)!=zero_zero_int.
% 15.63/15.48 0 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Z),zero_zero_int)=Z.
% 15.63/15.48 0 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,zero_zero_int),Z)=Z.
% 15.63/15.48 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),one_one_int)).
% 15.63/15.48 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)).
% 15.63/15.48 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)).
% 15.63/15.48 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),L))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,K),L)),zero_zero_int)).
% 15.63/15.48 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),L))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,K),L)),zero_zero_int)).
% 15.63/15.48 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Z))|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))).
% 15.63/15.48 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)).
% 15.63/15.48 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)).
% 15.63/15.48 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,I_1),J))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K_1),I_1)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K_1),J))).
% 15.63/15.48 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)).
% 15.63/15.48 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))=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)).
% 15.63/15.48 0 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Z),W)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,W),Z).
% 15.63/15.48 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,W),W)).
% 15.63/15.48 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z),W))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,W),Z)).
% 15.63/15.48 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,I_1),J))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,J),K_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,I_1),K_1)).
% 15.63/15.48 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z),W))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,W),Z))|Z=W.
% 15.63/15.48 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)).
% 15.63/15.48 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)).
% 15.63/15.48 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)).
% 15.63/15.48 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)).
% 15.63/15.48 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_2),W_1))|Z_2!=W_1.
% 15.63/15.48 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.
% 15.63/15.48 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,I_1),J))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,I_1),K_1)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,J),K_1))).
% 15.63/15.48 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_2),W))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z_4),Z))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,W_2),Z_4)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,W),Z))).
% 15.63/15.48 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)).
% 15.63/15.48 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)).
% 15.63/15.48 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)).
% 15.63/15.48 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)).
% 15.63/15.48 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W),Z))|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)).
% 15.63/15.48 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.
% 15.63/15.48 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)).
% 15.63/15.48 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.
% 15.63/15.48 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),M)!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),Na)|K=zero_zero_nat|M=Na.
% 15.63/15.48 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),M)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),Na)|K!=zero_zero_nat.
% 15.63/15.48 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),M)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),Na)|M!=Na.
% 15.63/15.48 0 [] 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_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,J),U_1)),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(hAPP_nat_fun_nat_nat(plus_plus_nat,I_1),J)),U_1)),K_1).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),M)!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),Na)|M=Na.
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),M)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),Na)|M!=Na.
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na)).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),Na)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na)).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),Na)).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),Na)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),Na)).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J_1),I_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(hAPP_nat_fun_nat_nat(times_times_nat,I_2),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_1),U)),Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,I_2),J_1)),U)),M)),Na)).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J_1),I_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(hAPP_nat_fun_nat_nat(times_times_nat,I_2),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_1),U)),Na)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,I_2),J_1)),U)),M)),Na)).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J),I_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,I_1),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),U_1)),N))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,I_1),J)),U_1)),M_1)),N).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J_1),I_2))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,I_2),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_1),U)),Na)|hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,I_2),J_1)),U)),M)=Na.
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J_1),I_2))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,I_2),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_1),U)),Na)|hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,I_2),J_1)),U)),M)!=Na.
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),J_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_2),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_1),U)),Na)))|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_1),I_2)),U)),Na))).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),J_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_2),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_1),U)),Na)))| -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_1),I_2)),U)),Na))).
% 15.63/15.48 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,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_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),U_1)),N))=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),I_1)),U_1)),N)).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),J_1))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,I_2),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_1),U)),Na)|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_1),I_2)),U)),Na).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),J_1))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,I_2),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_1),U)),Na)|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_1),I_2)),U)),Na).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J_1),I_2))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,I_2),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_1),U)),Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,I_2),J_1)),U)),M)),Na)).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J_1),I_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,I_2),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_1),U)),Na)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,I_2),J_1)),U)),M)),Na)).
% 15.63/15.48 0 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_2),Q_2)),R_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_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),Q_1)),R_1)),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_2),B_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),R_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,B_1),B_2))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Q_1),Q_2)).
% 15.63/15.48 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_2),Q_1)),R_1)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_2),Q_2)),R_2)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,R_2),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_2),R_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_2),R_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Q_2),Q_1)).
% 15.63/15.48 0 [] number_number_of_int(K_1)=K_1.
% 15.63/15.48 0 [] zero_zero_int!=one_one_int.
% 15.63/15.48 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_1))|A_1!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,R_2),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_1),Q_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_2),A_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),Q_2)).
% 15.63/15.48 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_1))|A_1!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,R_2),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_1),Q_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),R_2))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Q_2),one_one_int)).
% 15.63/15.48 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_1),Q_1)),R_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_1),B_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Q_1)).
% 15.63/15.48 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_1),Q_1)),R_1)),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),R_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,Q_1),zero_zero_int)).
% 15.63/15.48 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_2),Q_1)),R_1)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_2),Q_2)),R_2)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),R_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_1),B_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_2),B_2))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Q_1),Q_2)).
% 15.63/15.48 0 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_2),Q_2)),R_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_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),Q_1)),R_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_1),B_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),R_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_1),B_2))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Q_2),Q_1)).
% 15.63/15.48 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,I_2),K))| -hBOOL(hAPP_int_bool(Pa,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,K),one_one_int)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f187(Pa,I_2,K)),K))|hBOOL(hAPP_int_bool(Pa,I_2)).
% 15.63/15.48 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,I_2),K))| -hBOOL(hAPP_int_bool(Pa,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,K),one_one_int)))|hBOOL(hAPP_int_bool(Pa,$f187(Pa,I_2,K)))|hBOOL(hAPP_int_bool(Pa,I_2)).
% 15.63/15.48 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,I_2),K))| -hBOOL(hAPP_int_bool(Pa,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,K),one_one_int)))| -hBOOL(hAPP_int_bool(Pa,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f187(Pa,I_2,K)),one_one_int)))|hBOOL(hAPP_int_bool(Pa,I_2)).
% 15.63/15.48 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,I_2),K))| -hBOOL(hAPP_int_bool(Pa,K))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,$f188(Pa,I_2,K)),K))|hBOOL(hAPP_int_bool(Pa,I_2)).
% 15.63/15.48 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,I_2),K))| -hBOOL(hAPP_int_bool(Pa,K))|hBOOL(hAPP_int_bool(Pa,$f188(Pa,I_2,K)))|hBOOL(hAPP_int_bool(Pa,I_2)).
% 15.63/15.48 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,I_2),K))| -hBOOL(hAPP_int_bool(Pa,K))| -hBOOL(hAPP_int_bool(Pa,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f188(Pa,I_2,K)),one_one_int)))|hBOOL(hAPP_int_bool(Pa,I_2)).
% 15.63/15.48 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),I_2))| -hBOOL(hAPP_int_bool(Pa,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K),one_one_int)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),$f189(Pa,K,I_2)))|hBOOL(hAPP_int_bool(Pa,I_2)).
% 15.63/15.48 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),I_2))| -hBOOL(hAPP_int_bool(Pa,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K),one_one_int)))|hBOOL(hAPP_int_bool(Pa,$f189(Pa,K,I_2)))|hBOOL(hAPP_int_bool(Pa,I_2)).
% 15.63/15.48 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),I_2))| -hBOOL(hAPP_int_bool(Pa,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K),one_one_int)))| -hBOOL(hAPP_int_bool(Pa,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f189(Pa,K,I_2)),one_one_int)))|hBOOL(hAPP_int_bool(Pa,I_2)).
% 15.63/15.48 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),I_2))| -hBOOL(hAPP_int_bool(Pa,K))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),$f190(Pa,K,I_2)))|hBOOL(hAPP_int_bool(Pa,I_2)).
% 15.63/15.48 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),I_2))| -hBOOL(hAPP_int_bool(Pa,K))|hBOOL(hAPP_int_bool(Pa,$f190(Pa,K,I_2)))|hBOOL(hAPP_int_bool(Pa,I_2)).
% 15.63/15.48 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),I_2))| -hBOOL(hAPP_int_bool(Pa,K))| -hBOOL(hAPP_int_bool(Pa,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f190(Pa,K,I_2)),one_one_int)))|hBOOL(hAPP_int_bool(Pa,I_2)).
% 15.63/15.48 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))).
% 15.63/15.48 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),zero_zero_int)).
% 15.63/15.48 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))).
% 15.63/15.48 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),one_one_int)).
% 15.63/15.48 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),$f191(P_1,Pa)))|collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fconj,hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int)),Pa))=collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fconj,hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int)),P_1)).
% 15.63/15.48 0 [] hBOOL(hAPP_int_bool(Pa,$f191(P_1,Pa)))|hBOOL(hAPP_int_bool(P_1,$f191(P_1,Pa)))|collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fconj,hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int)),Pa))=collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fconj,hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int)),P_1)).
% 15.63/15.48 0 [] -hBOOL(hAPP_int_bool(Pa,$f191(P_1,Pa)))| -hBOOL(hAPP_int_bool(P_1,$f191(P_1,Pa)))|collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fconj,hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int)),Pa))=collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fconj,hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int)),P_1)).
% 15.63/15.48 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(Pa,$f192(K,Pa,D_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),K))| -hBOOL(hAPP_int_bool(Pa,X_2))|hBOOL(hAPP_int_bool(Pa,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)))).
% 15.63/15.48 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(Pa,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f192(K,Pa,D_1)),D_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),K))| -hBOOL(hAPP_int_bool(Pa,X_2))|hBOOL(hAPP_int_bool(Pa,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_2),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K),D_1)))).
% 15.63/15.48 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(Pa,$f193(K,Pa,D_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),K))| -hBOOL(hAPP_int_bool(Pa,X_2))|hBOOL(hAPP_int_bool(Pa,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),D_1)))).
% 15.63/15.48 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(Pa,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f193(K,Pa,D_1)),D_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),K))| -hBOOL(hAPP_int_bool(Pa,X_2))|hBOOL(hAPP_int_bool(Pa,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_2),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K),D_1)))).
% 15.63/15.48 0 [] -hBOOL(hAPP_int_bool(Pa,K))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),$f194(I_2,Pa,K)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,$f195(I_2,Pa,K)),K))|hBOOL(hAPP_int_bool(Pa,I_2)).
% 15.63/15.48 0 [] -hBOOL(hAPP_int_bool(Pa,K))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),$f194(I_2,Pa,K)))|hBOOL(hAPP_int_bool(Pa,$f195(I_2,Pa,K)))|hBOOL(hAPP_int_bool(Pa,I_2)).
% 15.63/15.48 0 [] -hBOOL(hAPP_int_bool(Pa,K))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),$f194(I_2,Pa,K)))| -hBOOL(hAPP_int_bool(Pa,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f195(I_2,Pa,K)),one_one_int)))|hBOOL(hAPP_int_bool(Pa,I_2)).
% 15.63/15.48 0 [] -hBOOL(hAPP_int_bool(Pa,K))|hBOOL(hAPP_int_bool(Pa,$f194(I_2,Pa,K)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,$f195(I_2,Pa,K)),K))|hBOOL(hAPP_int_bool(Pa,I_2)).
% 15.63/15.48 0 [] -hBOOL(hAPP_int_bool(Pa,K))|hBOOL(hAPP_int_bool(Pa,$f194(I_2,Pa,K)))|hBOOL(hAPP_int_bool(Pa,$f195(I_2,Pa,K)))|hBOOL(hAPP_int_bool(Pa,I_2)).
% 15.63/15.48 0 [] -hBOOL(hAPP_int_bool(Pa,K))|hBOOL(hAPP_int_bool(Pa,$f194(I_2,Pa,K)))| -hBOOL(hAPP_int_bool(Pa,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f195(I_2,Pa,K)),one_one_int)))|hBOOL(hAPP_int_bool(Pa,I_2)).
% 15.63/15.48 0 [] -hBOOL(hAPP_int_bool(Pa,K))| -hBOOL(hAPP_int_bool(Pa,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f194(I_2,Pa,K)),one_one_int)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,$f195(I_2,Pa,K)),K))|hBOOL(hAPP_int_bool(Pa,I_2)).
% 15.63/15.48 0 [] -hBOOL(hAPP_int_bool(Pa,K))| -hBOOL(hAPP_int_bool(Pa,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f194(I_2,Pa,K)),one_one_int)))|hBOOL(hAPP_int_bool(Pa,$f195(I_2,Pa,K)))|hBOOL(hAPP_int_bool(Pa,I_2)).
% 15.63/15.48 0 [] -hBOOL(hAPP_int_bool(Pa,K))| -hBOOL(hAPP_int_bool(Pa,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,$f194(I_2,Pa,K)),one_one_int)))| -hBOOL(hAPP_int_bool(Pa,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f195(I_2,Pa,K)),one_one_int)))|hBOOL(hAPP_int_bool(Pa,I_2)).
% 15.63/15.48 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P1,$f197(Pa,P1,D_1)))|hBOOL(hAPP_int_bool(P1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f197(Pa,P1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f196(Pa,P1,D_1)),D_1))))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f198(Pa,P1,D_1,Z_3)),Z_3))| -hBOOL(hAPP_int_bool(P1,X1))|hBOOL(hAPP_int_bool(Pa,$f199(Pa,P1,D_1))).
% 15.63/15.48 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P1,$f197(Pa,P1,D_1)))|hBOOL(hAPP_int_bool(P1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f197(Pa,P1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f196(Pa,P1,D_1)),D_1))))|hBOOL(hAPP_int_bool(Pa,$f198(Pa,P1,D_1,Z_3)))|hBOOL(hAPP_int_bool(P1,$f198(Pa,P1,D_1,Z_3)))| -hBOOL(hAPP_int_bool(P1,X1))|hBOOL(hAPP_int_bool(Pa,$f199(Pa,P1,D_1))).
% 15.63/15.48 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P1,$f197(Pa,P1,D_1)))|hBOOL(hAPP_int_bool(P1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f197(Pa,P1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f196(Pa,P1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(Pa,$f198(Pa,P1,D_1,Z_3)))| -hBOOL(hAPP_int_bool(P1,$f198(Pa,P1,D_1,Z_3)))| -hBOOL(hAPP_int_bool(P1,X1))|hBOOL(hAPP_int_bool(Pa,$f199(Pa,P1,D_1))).
% 15.63/15.48 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P1,$f197(Pa,P1,D_1)))| -hBOOL(hAPP_int_bool(P1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f197(Pa,P1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f196(Pa,P1,D_1)),D_1))))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,$f198(Pa,P1,D_1,Z_3)),Z_3))| -hBOOL(hAPP_int_bool(P1,X1))|hBOOL(hAPP_int_bool(Pa,$f199(Pa,P1,D_1))).
% 15.63/15.48 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P1,$f197(Pa,P1,D_1)))| -hBOOL(hAPP_int_bool(P1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f197(Pa,P1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f196(Pa,P1,D_1)),D_1))))|hBOOL(hAPP_int_bool(Pa,$f198(Pa,P1,D_1,Z_3)))|hBOOL(hAPP_int_bool(P1,$f198(Pa,P1,D_1,Z_3)))| -hBOOL(hAPP_int_bool(P1,X1))|hBOOL(hAPP_int_bool(Pa,$f199(Pa,P1,D_1))).
% 15.63/15.48 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P1,$f197(Pa,P1,D_1)))| -hBOOL(hAPP_int_bool(P1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f197(Pa,P1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f196(Pa,P1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(Pa,$f198(Pa,P1,D_1,Z_3)))| -hBOOL(hAPP_int_bool(P1,$f198(Pa,P1,D_1,Z_3)))| -hBOOL(hAPP_int_bool(P1,X1))|hBOOL(hAPP_int_bool(Pa,$f199(Pa,P1,D_1))).
% 15.63/15.48 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f201(Pa,P_1,D_1)))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f201(Pa,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f200(Pa,P_1,D_1)),D_1))))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_3),$f202(Pa,P_1,D_1,Z_3)))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(Pa,$f203(Pa,P_1,D_1))).
% 15.63/15.48 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f201(Pa,P_1,D_1)))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f201(Pa,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f200(Pa,P_1,D_1)),D_1))))|hBOOL(hAPP_int_bool(Pa,$f202(Pa,P_1,D_1,Z_3)))|hBOOL(hAPP_int_bool(P_1,$f202(Pa,P_1,D_1,Z_3)))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(Pa,$f203(Pa,P_1,D_1))).
% 15.63/15.48 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))|hBOOL(hAPP_int_bool(P_1,$f201(Pa,P_1,D_1)))|hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f201(Pa,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f200(Pa,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(Pa,$f202(Pa,P_1,D_1,Z_3)))| -hBOOL(hAPP_int_bool(P_1,$f202(Pa,P_1,D_1,Z_3)))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(Pa,$f203(Pa,P_1,D_1))).
% 15.63/15.48 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f201(Pa,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f201(Pa,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f200(Pa,P_1,D_1)),D_1))))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_3),$f202(Pa,P_1,D_1,Z_3)))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(Pa,$f203(Pa,P_1,D_1))).
% 15.63/15.48 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f201(Pa,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f201(Pa,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f200(Pa,P_1,D_1)),D_1))))|hBOOL(hAPP_int_bool(Pa,$f202(Pa,P_1,D_1,Z_3)))|hBOOL(hAPP_int_bool(P_1,$f202(Pa,P_1,D_1,Z_3)))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(Pa,$f203(Pa,P_1,D_1))).
% 15.63/15.48 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))| -hBOOL(hAPP_int_bool(P_1,$f201(Pa,P_1,D_1)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,$f201(Pa,P_1,D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,$f200(Pa,P_1,D_1)),D_1))))| -hBOOL(hAPP_int_bool(Pa,$f202(Pa,P_1,D_1,Z_3)))| -hBOOL(hAPP_int_bool(P_1,$f202(Pa,P_1,D_1,Z_3)))| -hBOOL(hAPP_int_bool(P_1,X1))|hBOOL(hAPP_int_bool(Pa,$f203(Pa,P_1,D_1))).
% 15.63/15.48 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y),X))|hAPP_int_int(hAPP_int_fun_int_int(nat_tsub,X),Y)=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X),Y).
% 15.63/15.48 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y),X))|hAPP_int_int(hAPP_int_fun_int_int(nat_tsub,X),Y)=zero_zero_int.
% 15.63/15.48 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_nat_int(semiri1621563631at_int,N))).
% 15.63/15.48 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,K_1)),zero_zero_int)).
% 15.63/15.48 0 [] hAPP_nat_int(semiri1621563631at_int,one_one_nat)=one_one_int.
% 15.63/15.48 0 [] hAPP_nat_int(semiri1621563631at_int,zero_zero_nat)=zero_zero_int.
% 15.63/15.48 0 [] hAPP_nat_int(semiri1621563631at_int,Na)!=zero_zero_int|Na=zero_zero_nat.
% 15.63/15.48 0 [] hAPP_nat_int(semiri1621563631at_int,Na)=zero_zero_int|Na!=zero_zero_nat.
% 15.63/15.48 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,M)),hAPP_nat_int(semiri1621563631at_int,Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na)).
% 15.63/15.48 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,M)),hAPP_nat_int(semiri1621563631at_int,Na)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na)).
% 15.63/15.48 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(semiri1621563631at_int,M)),hAPP_nat_int(semiri1621563631at_int,Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),Na)).
% 15.63/15.48 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(semiri1621563631at_int,M)),hAPP_nat_int(semiri1621563631at_int,Na)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),Na)).
% 15.63/15.48 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))=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_1),N)).
% 15.63/15.48 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)),Z))=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))),Z).
% 15.63/15.48 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,$f204(W_1,Z_2))).
% 15.63/15.48 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_1)).
% 15.63/15.48 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))=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),N)).
% 15.63/15.48 0 [] hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),N))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_nat_int(semiri1621563631at_int,M_1)),hAPP_nat_int(semiri1621563631at_int,N)).
% 15.63/15.48 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)).
% 15.63/15.48 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,X_1)),hAPP_nat_int(semiri1621563631at_int,Y_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_1)).
% 15.63/15.48 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,X_1)),hAPP_nat_int(semiri1621563631at_int,Y_1)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_1)).
% 15.63/15.48 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_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_1)).
% 15.63/15.48 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_1)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_1)).
% 15.63/15.48 0 [] hAPP_int_int(hAPP_int_fun_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)).
% 15.63/15.48 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)).
% 15.63/15.48 0 [] hAPP_f22106695ol_nat(finite_card_nat,A)=hAPP_f957591787ol_nat(finite_card_int,image_nat_int(semiri1621563631at_int,A)).
% 15.63/15.48 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))|hBOOL(hAPP_f448129468l_bool(finite_finite_int,image_nat_int(semiri1621563631at_int,A))).
% 15.63/15.48 0 [] hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))| -hBOOL(hAPP_f448129468l_bool(finite_finite_int,image_nat_int(semiri1621563631at_int,A))).
% 15.63/15.48 0 [] one_one_int=hAPP_nat_int(semiri1621563631at_int,one_one_nat).
% 15.63/15.48 0 [] zero_zero_int=hAPP_nat_int(semiri1621563631at_int,zero_zero_nat).
% 15.63/15.48 0 [] collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fconj,hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int)),Pa))=image_nat_int(semiri1621563631at_int,collect_nat(cOMBB_int_bool_nat(Pa,semiri1621563631at_int))).
% 15.63/15.48 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_nat_int(semiri1621563631at_int,Z))).
% 15.63/15.48 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_2))| -hBOOL(hAPP_int_bool(Pa,X_2))|hBOOL(hAPP_int_bool(Pa,hAPP_nat_int(semiri1621563631at_int,$f205(Pa)))).
% 15.63/15.48 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),$f206(Pa)))| -hBOOL(hAPP_int_bool(Pa,hAPP_nat_int(semiri1621563631at_int,X2))).
% 15.63/15.48 0 [] hBOOL(hAPP_int_bool(Pa,$f206(Pa)))| -hBOOL(hAPP_int_bool(Pa,hAPP_nat_int(semiri1621563631at_int,X2))).
% 15.63/15.48 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),$f207(Pa)))|hBOOL(hAPP_int_bool(Pa,hAPP_nat_int(semiri1621563631at_int,X_2))).
% 15.63/15.48 0 [] -hBOOL(hAPP_int_bool(Pa,$f207(Pa)))|hBOOL(hAPP_int_bool(Pa,hAPP_nat_int(semiri1621563631at_int,X_2))).
% 15.63/15.48 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X3))|hBOOL(hAPP_int_bool(Pa,X3))| -hBOOL(hAPP_int_bool(Pa,hAPP_nat_int(semiri1621563631at_int,$f208(Pa)))).
% 15.63/15.48 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(semiri1621563631at_int,Na)),zero_zero_int))|Na=zero_zero_nat.
% 15.63/15.48 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(semiri1621563631at_int,Na)),zero_zero_int))|Na!=zero_zero_nat.
% 15.63/15.48 0 [] hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(suc,zero_zero_nat))=one_one_int.
% 15.63/15.48 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,$f209(W_1,Z_2)))).
% 15.63/15.48 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_1))).
% 15.63/15.48 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)).
% 15.63/15.48 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),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))=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_1),N)).
% 15.63/15.48 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(semiri1621563631at_int,Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na)).
% 15.63/15.48 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(semiri1621563631at_int,Na)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na)).
% 15.63/15.48 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,I_1),J))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_1))|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_1)),I_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_nat_int(semiri1621563631at_int,K_1)),J))).
% 15.63/15.48 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(nat_tsub,X),Y))).
% 15.63/15.48 0 [] -hBOOL(hAPP_int_bool(Pa,hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,X_1),Y_1))))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_1),X_1))|hBOOL(hAPP_int_bool(Pa,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_nat_int(semiri1621563631at_int,X_1)),hAPP_nat_int(semiri1621563631at_int,Y_1)))).
% 15.63/15.48 0 [] -hBOOL(hAPP_int_bool(Pa,hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,X_1),Y_1))))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_1))|hBOOL(hAPP_int_bool(Pa,zero_zero_int)).
% 15.63/15.48 0 [] hBOOL(hAPP_int_bool(Pa,hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,X_1),Y_1))))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_1),X_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_1)).
% 15.63/15.48 0 [] hBOOL(hAPP_int_bool(Pa,hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,X_1),Y_1))))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_1),X_1))| -hBOOL(hAPP_int_bool(Pa,zero_zero_int)).
% 15.63/15.48 0 [] hBOOL(hAPP_int_bool(Pa,hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,X_1),Y_1))))| -hBOOL(hAPP_int_bool(Pa,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_nat_int(semiri1621563631at_int,X_1)),hAPP_nat_int(semiri1621563631at_int,Y_1))))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_1)).
% 15.63/15.48 0 [] hBOOL(hAPP_int_bool(Pa,hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,X_1),Y_1))))| -hBOOL(hAPP_int_bool(Pa,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_nat_int(semiri1621563631at_int,X_1)),hAPP_nat_int(semiri1621563631at_int,Y_1))))| -hBOOL(hAPP_int_bool(Pa,zero_zero_int)).
% 15.63/15.48 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y),X))|hAPP_int_int(hAPP_int_fun_int_int(nat_tsub,X),Y)=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X),Y).
% 15.63/15.48 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),K_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),$f210(K_1))).
% 15.63/15.48 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),K_1))|K_1=hAPP_nat_int(semiri1621563631at_int,$f210(K_1)).
% 15.63/15.48 0 [] hAPP_nat_int(semiri1621563631at_int,M)!=hAPP_nat_int(semiri1621563631at_int,Na)|M=Na.
% 15.63/15.48 0 [] hAPP_nat_int(semiri1621563631at_int,M)=hAPP_nat_int(semiri1621563631at_int,Na)|M!=Na.
% 15.63/15.48 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))).
% 15.63/15.48 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))).
% 15.63/15.48 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))).
% 15.63/15.48 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))).
% 15.63/15.48 0 [] bot_bot_fun_int_bool=image_nat_int(semiri1621563631at_int,bot_bot_fun_nat_bool).
% 15.63/15.48 0 [] A!=B|image_nat_int(semiri1621563631at_int,A)=image_nat_int(semiri1621563631at_int,B).
% 15.63/15.48 0 [] A=B|image_nat_int(semiri1621563631at_int,A)!=image_nat_int(semiri1621563631at_int,B).
% 15.63/15.48 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))).
% 15.63/15.48 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))).
% 15.63/15.48 0 [] -hBOOL(Pa)|hAPP_nat_int(semiri1621563631at_int,X_1)=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(if_nat(Pa),X_1),Y_1)).
% 15.63/15.48 0 [] hBOOL(Pa)|hAPP_nat_int(semiri1621563631at_int,Y_1)=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(if_nat(Pa),X_1),Y_1)).
% 15.63/15.48 0 [] hAPP_nat_int(semiri1621563631at_int,X_1)!=hAPP_nat_int(semiri1621563631at_int,Y_1)|X_1=Y_1.
% 15.63/15.48 0 [] hAPP_nat_int(semiri1621563631at_int,X_1)=hAPP_nat_int(semiri1621563631at_int,Y_1)|X_1!=Y_1.
% 15.63/15.48 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),K_1))|K_1=hAPP_nat_int(semiri1621563631at_int,$f211(K_1)).
% 15.63/15.48 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Z))|Z=hAPP_nat_int(semiri1621563631at_int,$f212(Z)).
% 15.63/15.48 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),K_1))|K_1=hAPP_nat_int(semiri1621563631at_int,$f213(K_1)).
% 15.63/15.48 0 [] Z=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_nat_int(semiri1621563631at_int,$f215(Z))),hAPP_nat_int(semiri1621563631at_int,$f214(Z))).
% 15.63/15.48 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D))|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,abs_abs_int(hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X),Z))),one_one_int)),D))),Z)).
% 15.63/15.48 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,abs_abs_int(Z_2)),one_one_int))|Z_2=zero_zero_int.
% 15.63/15.48 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,abs_abs_int(Z_2)),one_one_int))|Z_2!=zero_zero_int.
% 15.63/15.48 0 [] -hBOOL(hAPP_int_bool(nat_neg,Z_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_1),zero_zero_int)).
% 15.63/15.48 0 [] hBOOL(hAPP_int_bool(nat_neg,Z_1))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_1),zero_zero_int)).
% 15.63/15.48 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)).
% 15.63/15.48 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)).
% 15.63/15.48 0 [] -hBOOL(hAPP_int_bool(nat_neg,one_one_int)).
% 15.63/15.48 0 [] -hBOOL(hAPP_int_bool(nat_neg,zero_zero_int)).
% 15.63/15.48 0 [] abs_abs_int(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,M_1),N))!=one_one_int|abs_abs_int(M_1)=one_one_int.
% 15.63/15.48 0 [] -hBOOL(hAPP_int_bool(nat_neg,hAPP_nat_int(semiri1621563631at_int,N))).
% 15.63/15.48 0 [] abs_abs_int(hAPP_nat_int(semiri1621563631at_int,M_1))=hAPP_nat_int(semiri1621563631at_int,M_1).
% 15.63/15.48 0 [] -hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V)))|number_number_of_nat(V)=zero_zero_nat.
% 15.63/15.48 0 [] number_number_of_nat(V_3)!=number_number_of_nat(V_2)| -hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V_3)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,number_number_of_int(V_2)),zero_zero_int)).
% 15.63/15.48 0 [] number_number_of_nat(V_3)!=number_number_of_nat(V_2)|hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V_3)))| -hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V_2)))|number_number_of_int(V_3)=zero_zero_int.
% 15.63/15.48 0 [] number_number_of_nat(V_3)!=number_number_of_nat(V_2)|hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V_3)))|hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V_2)))|V_3=V_2.
% 15.63/15.48 0 [] number_number_of_nat(V_3)=number_number_of_nat(V_2)|hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V_3)))|hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V_2)))|V_3!=V_2.
% 15.63/15.48 0 [] number_number_of_nat(V_3)=number_number_of_nat(V_2)|hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V_3)))|number_number_of_int(V_3)!=zero_zero_int| -hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V_2))).
% 15.63/15.48 0 [] number_number_of_nat(V_3)=number_number_of_nat(V_2)|hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V_3)))|number_number_of_int(V_3)!=zero_zero_int|V_3!=V_2.
% 15.63/15.48 0 [] number_number_of_nat(V_3)=number_number_of_nat(V_2)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,number_number_of_int(V_2)),zero_zero_int))| -hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V_3))).
% 15.63/15.48 0 [] number_number_of_nat(V_3)=number_number_of_nat(V_2)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,number_number_of_int(V_2)),zero_zero_int))|hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V_2)))|V_3!=V_2.
% 15.63/15.49 0 [] number_number_of_nat(V_3)=number_number_of_nat(V_2)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,number_number_of_int(V_2)),zero_zero_int))|number_number_of_int(V_3)!=zero_zero_int| -hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V_2))).
% 15.63/15.49 0 [] number_number_of_nat(V_3)=number_number_of_nat(V_2)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,number_number_of_int(V_2)),zero_zero_int))|number_number_of_int(V_3)!=zero_zero_int|V_3!=V_2.
% 15.63/15.49 0 [] -hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V)))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,number_number_of_nat(V)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,number_number_of_nat(V_1)),K_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,number_number_of_nat(V_1)),K_1).
% 15.63/15.49 0 [] hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V)))| -hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V_1)))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,number_number_of_nat(V)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,number_number_of_nat(V_1)),K_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,number_number_of_nat(V)),K_1).
% 15.63/15.49 0 [] hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V)))|hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V_1)))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,number_number_of_nat(V)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,number_number_of_nat(V_1)),K_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,number_number_of_nat(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V),V_1))),K_1).
% 15.63/15.49 0 [] -hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V)))|hAPP_nat_int(semiri1621563631at_int,number_number_of_nat(V))=zero_zero_int.
% 15.63/15.49 0 [] hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V)))|hAPP_nat_int(semiri1621563631at_int,number_number_of_nat(V))=number_number_of_int(V).
% 15.63/15.49 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z),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,abs_abs_int(hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X),Z))),one_one_int)),D)))).
% 15.63/15.49 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f216(K,F,Na)),Na))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(F,zero_zero_nat)),K))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),hAPP_nat_int(F,Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,$f217(K,F,Na)),Na)).
% 15.63/15.49 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f216(K,F,Na)),Na))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(F,zero_zero_nat)),K))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),hAPP_nat_int(F,Na)))|hAPP_nat_int(F,$f217(K,F,Na))=K.
% 15.63/15.49 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_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,$f216(K,F,Na)),one_one_nat))),hAPP_nat_int(F,$f216(K,F,Na))))),one_one_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(F,zero_zero_nat)),K))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),hAPP_nat_int(F,Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,$f217(K,F,Na)),Na)).
% 15.63/15.49 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,abs_abs_int(hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_nat_int(F,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,$f216(K,F,Na)),one_one_nat))),hAPP_nat_int(F,$f216(K,F,Na))))),one_one_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(F,zero_zero_nat)),K))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),hAPP_nat_int(F,Na)))|hAPP_nat_int(F,$f217(K,F,Na))=K.
% 15.63/15.49 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f218(K,F,Na)),Na))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(F,zero_zero_nat)),K))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),hAPP_nat_int(F,Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,$f219(K,F,Na)),Na)).
% 15.63/15.49 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f218(K,F,Na)),Na))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(F,zero_zero_nat)),K))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),hAPP_nat_int(F,Na)))|hAPP_nat_int(F,$f219(K,F,Na))=K.
% 15.63/15.49 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_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,$f218(K,F,Na)),one_one_nat))),hAPP_nat_int(F,$f218(K,F,Na))))),one_one_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(F,zero_zero_nat)),K))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),hAPP_nat_int(F,Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,$f219(K,F,Na)),Na)).
% 15.63/15.49 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,abs_abs_int(hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_nat_int(F,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,$f218(K,F,Na)),one_one_nat))),hAPP_nat_int(F,$f218(K,F,Na))))),one_one_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(F,zero_zero_nat)),K))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),hAPP_nat_int(F,Na)))|hAPP_nat_int(F,$f219(K,F,Na))=K.
% 15.63/15.49 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),$f220(K,F,Na,M)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(F,M)),K))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),hAPP_nat_int(F,Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),$f221(K,F,Na,M))).
% 15.63/15.49 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),$f220(K,F,Na,M)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(F,M)),K))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),hAPP_nat_int(F,Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,$f221(K,F,Na,M)),Na)).
% 15.63/15.49 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),$f220(K,F,Na,M)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(F,M)),K))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),hAPP_nat_int(F,Na)))|hAPP_nat_int(F,$f221(K,F,Na,M))=K.
% 15.63/15.49 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f220(K,F,Na,M)),Na))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(F,M)),K))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),hAPP_nat_int(F,Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),$f221(K,F,Na,M))).
% 15.63/15.49 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f220(K,F,Na,M)),Na))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(F,M)),K))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),hAPP_nat_int(F,Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,$f221(K,F,Na,M)),Na)).
% 15.63/15.49 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f220(K,F,Na,M)),Na))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(F,M)),K))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),hAPP_nat_int(F,Na)))|hAPP_nat_int(F,$f221(K,F,Na,M))=K.
% 15.63/15.49 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_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,$f220(K,F,Na,M)),one_one_nat))),hAPP_nat_int(F,$f220(K,F,Na,M))))),one_one_int))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(F,M)),K))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),hAPP_nat_int(F,Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),$f221(K,F,Na,M))).
% 15.63/15.49 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,abs_abs_int(hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_nat_int(F,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,$f220(K,F,Na,M)),one_one_nat))),hAPP_nat_int(F,$f220(K,F,Na,M))))),one_one_int))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(F,M)),K))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),hAPP_nat_int(F,Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,$f221(K,F,Na,M)),Na)).
% 15.63/15.49 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_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,$f220(K,F,Na,M)),one_one_nat))),hAPP_nat_int(F,$f220(K,F,Na,M))))),one_one_int))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),Na))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(F,M)),K))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),hAPP_nat_int(F,Na)))|hAPP_nat_int(F,$f221(K,F,Na,M))=K.
% 15.63/15.49 0 [] -hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V)))|hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,number_number_of_nat(V)),N))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),N).
% 15.63/15.49 0 [] hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V)))|hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,number_number_of_nat(V)),N))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,number_number_of_nat(succ(V))),N).
% 15.63/15.49 0 [] succ(K_1)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K_1),one_one_int).
% 15.63/15.49 0 [] -hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V)))|hAPP_nat_nat(suc,number_number_of_nat(V))=one_one_nat.
% 15.63/15.49 0 [] hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(V)))|hAPP_nat_nat(suc,number_number_of_nat(V))=number_number_of_nat(succ(V)).
% 15.63/15.49 0 [] -hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(W)))|number_number_of_nat(bit1(W))=zero_zero_nat.
% 15.63/15.49 0 [] hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(W)))|number_number_of_nat(bit1(W))=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,number_number_of_nat(W)),number_number_of_nat(W))).
% 15.63/15.49 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V),pls))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),number_number_of_nat(V))=one_one_nat.
% 15.63/15.49 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V),pls))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),number_number_of_nat(V))=number_number_of_nat(succ(V)).
% 15.63/15.49 0 [] succ(pls)=bit1(pls).
% 15.63/15.49 0 [] -hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(bit1(W_1))))|hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(W_1))).
% 15.63/15.49 0 [] hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(bit1(W_1))))| -hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(W_1))).
% 15.63/15.49 0 [] -hBOOL(hAPP_int_bool(nat_neg,number_number_of_int(pls))).
% 15.63/15.49 0 [] number_number_of_int(bit1(bit1(pls)))=hAPP_nat_int(semiri1621563631at_int,number_number_of_nat(bit1(bit1(pls)))).
% 15.63/15.49 0 [] number_number_of_nat(bit1(pls))=hAPP_nat_nat(suc,zero_zero_nat).
% 15.63/15.49 0 [] number_number_of_nat(bit1(bit1(pls)))=hAPP_nat_nat(suc,hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat))).
% 15.63/15.49 0 [] hAPP_nat_nat(suc,hAPP_nat_nat(suc,hAPP_nat_nat(suc,N)))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,number_number_of_nat(bit1(bit1(pls)))),N).
% 15.63/15.49 0 [] one_one_nat=number_number_of_nat(bit1(pls)).
% 15.63/15.49 0 [] number_number_of_nat(bit1(pls))=one_one_nat.
% 15.63/15.49 0 [] one_one_int=number_number_of_int(bit1(pls)).
% 15.63/15.49 0 [] zero_zero_int=number_number_of_int(pls).
% 15.63/15.49 0 [] bit1(K_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),K_1)),K_1).
% 15.63/15.49 0 [] number_number_of_nat(pls)=zero_zero_nat.
% 15.63/15.49 0 [] zero_zero_nat=number_number_of_nat(pls).
% 15.63/15.49 0 [] pls=zero_zero_int.
% 15.63/15.49 0 [] bit1(K)!=bit1(L)|K=L.
% 15.63/15.49 0 [] bit1(K)=bit1(L)|K!=L.
% 15.63/15.49 0 [] bit1(K_1)!=pls.
% 15.63/15.49 0 [] pls!=bit1(L_1).
% 15.63/15.49 0 [] hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,K_1),pls)=K_1.
% 15.63/15.49 0 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,pls),K_1)=K_1.
% 15.63/15.49 0 [] hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K_1),pls)=K_1.
% 15.63/15.49 0 [] hAPP_int_int(hAPP_int_fun_int_int(times_times_int,pls),W)=pls.
% 15.63/15.49 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),number_number_of_int(bit1(bit1(pls))))).
% 15.63/15.49 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),pls)).
% 15.63/15.49 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),bit1(K)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),K)).
% 15.63/15.49 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),bit1(K)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),K)).
% 15.63/15.49 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit1(K)),bit1(L)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),L)).
% 15.63/15.49 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit1(K)),bit1(L)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),L)).
% 15.63/15.49 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit1(K1)),bit1(K2)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K1),K2)).
% 15.63/15.49 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit1(K1)),bit1(K2)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K1),K2)).
% 15.63/15.49 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),pls)).
% 15.63/15.49 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(K)),pls))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),pls)).
% 15.63/15.49 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(K)),pls))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),pls)).
% 15.63/15.49 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(K)),bit1(L)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),L)).
% 15.63/15.49 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(K)),bit1(L)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),L)).
% 15.63/15.49 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(K1)),bit1(K2)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K1),K2)).
% 15.63/15.49 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(K1)),bit1(K2)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K1),K2)).
% 15.63/15.49 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit1(K)),pls))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),pls)).
% 15.63/15.49 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit1(K)),pls))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),pls)).
% 15.63/15.49 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),bit1(K)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),K)).
% 15.63/15.49 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),bit1(K)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),K)).
% 15.63/15.49 0 [] -hBOOL(hAPP_bool_bool(fNot,P))| -hBOOL(P).
% 15.63/15.49 0 [] hBOOL(P)|hBOOL(hAPP_bool_bool(fNot,P)).
% 15.63/15.49 0 [] -hBOOL(P)| -hBOOL(Q)|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,P),Q)).
% 15.63/15.49 0 [] -hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,P),Q))|hBOOL(P).
% 15.63/15.49 0 [] -hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,P),Q))|hBOOL(Q).
% 15.63/15.49 0 [] -hBOOL(P)|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,P),Q)).
% 15.63/15.49 0 [] -hBOOL(Q)|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,P),Q)).
% 15.63/15.49 0 [] -hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,P),Q))|hBOOL(P)|hBOOL(Q).
% 15.63/15.49 0 [] -hBOOL(fFalse).
% 15.63/15.49 0 [] -is_bool(P)|P=fTrue|P=fFalse.
% 15.63/15.49 0 [] hBOOL(P)|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,P),Q)).
% 15.63/15.49 0 [] -hBOOL(Q)|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,P),Q)).
% 15.63/15.49 0 [] -hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,P),Q))| -hBOOL(P)|hBOOL(Q).
% 15.63/15.49 0 [] -is_a(X)| -is_a(Y)| -hBOOL(hAPP_a_bool(hAPP_a_fun_a_bool(fe_qual_a,X),Y))|X=Y.
% 15.63/15.49 0 [] X!=Y|hBOOL(hAPP_a_bool(hAPP_a_fun_a_bool(fe_qual_a,X),Y)).
% 15.63/15.49 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(if_nat(fTrue),X),Y)=X.
% 15.63/15.49 0 [] hAPP_nat_nat(hAPP_nat_fun_nat_nat(if_nat(fFalse),X),Y)=Y.
% 15.63/15.49 0 [] -is_bool(P)|P=fTrue|P=fFalse.
% 15.63/15.49 0 [] hAPP_nat_nat(cOMBI_nat,P)=P.
% 15.63/15.49 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(fe_qual_int,X),Y))|X=Y.
% 15.63/15.49 0 [] X!=Y|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(fe_qual_int,X),Y)).
% 15.63/15.49 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fe_qual_nat,X),Y))|X=Y.
% 15.63/15.49 0 [] X!=Y|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fe_qual_nat,X),Y)).
% 15.63/15.49 0 [] -is_pname(X)| -is_pname(Y)| -hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fe_qual_pname,X),Y))|X=Y.
% 15.63/15.49 0 [] X!=Y|hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fe_qual_pname,X),Y)).
% 15.63/15.49 0 [] -is_bool(P)|hAPP_a_bool(cOMBK_bool_a(P),Q)=P.
% 15.63/15.49 0 [] -is_a(P)|hAPP_pname_a(cOMBK_a_pname(P),Q)=P.
% 15.63/15.49 0 [] hAPP_a_bool(hAPP_a_fun_a_bool(cOMBC_a_a_bool(P),Q),R)=hAPP_a_bool(hAPP_a_fun_a_bool(P,R),Q).
% 15.63/15.49 0 [] hAPP_nat_int(cOMBK_int_nat(P),Q)=P.
% 15.63/15.49 0 [] -is_bool(P)|hAPP_int_bool(cOMBK_bool_int(P),Q)=P.
% 15.63/15.49 0 [] -is_bool(P)|hAPP_nat_bool(cOMBK_bool_nat(P),Q)=P.
% 15.63/15.49 0 [] -is_fun_a_bool(X)| -is_fun_a_bool(Y)| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(fe_qual_fun_a_bool,X),Y))|X=Y.
% 15.63/15.49 0 [] X!=Y|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(fe_qual_fun_a_bool,X),Y)).
% 15.63/15.49 0 [] hAPP_int_bool(hAPP_a_fun_int_bool(cOMBC_int_a_bool(P),Q),R)=hAPP_a_bool(hAPP_int_fun_a_bool(P,R),Q).
% 15.63/15.49 0 [] hAPP_a_bool(cOMBB_bool_bool_a(P,Q),R)=hAPP_bool_bool(P,hAPP_a_bool(Q,R)).
% 15.63/15.49 0 [] hAPP_a_bool(cOMBS_a_bool_bool(P,Q),R)=hAPP_bool_bool(hAPP_a_fun_bool_bool(P,R),hAPP_a_bool(Q,R)).
% 15.63/15.49 0 [] hAPP_pname_bool(hAPP_a93125764e_bool(cOMBC_pname_a_bool(P),Q),R)=hAPP_a_bool(hAPP_p1534023578a_bool(P,R),Q).
% 15.63/15.49 0 [] -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(fe_qual_fun_int_bool,X),Y))|X=Y.
% 15.63/15.49 0 [] X!=Y|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(fe_qual_fun_int_bool,X),Y)).
% 15.63/15.49 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(fe_qual_fun_nat_bool,X),Y))|X=Y.
% 15.63/15.49 0 [] X!=Y|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(fe_qual_fun_nat_bool,X),Y)).
% 15.63/15.49 0 [] -is_fun_pname_bool(X)| -is_fun_pname_bool(Y)| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(fe_qual533582459e_bool,X),Y))|X=Y.
% 15.63/15.49 0 [] X!=Y|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(fe_qual533582459e_bool,X),Y)).
% 15.63/15.49 0 [] hAPP_nat_bool(cOMBB_int_bool_nat(P,Q),R)=hAPP_int_bool(P,hAPP_nat_int(Q,R)).
% 15.63/15.49 0 [] hAPP_int_bool(hAPP_i1948725293t_bool(cOMBC_int_int_bool(P),Q),R)=hAPP_int_bool(hAPP_i1948725293t_bool(P,R),Q).
% 15.63/15.49 0 [] hAPP_nat_bool(hAPP_i418383825t_bool(cOMBC_nat_int_bool(P),Q),R)=hAPP_int_bool(hAPP_n1082236369t_bool(P,R),Q).
% 15.63/15.49 0 [] hAPP_nat_bool(hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(P),Q),R)=hAPP_nat_bool(hAPP_n1699378549t_bool(P,R),Q).
% 15.63/15.49 0 [] hAPP_int_bool(cOMBB_bool_bool_int(P,Q),R)=hAPP_bool_bool(P,hAPP_int_bool(Q,R)).
% 15.63/15.49 0 [] hAPP_nat_bool(cOMBB_bool_bool_nat(P,Q),R)=hAPP_bool_bool(P,hAPP_nat_bool(Q,R)).
% 15.63/15.49 0 [] hAPP_int_bool(cOMBS_int_bool_bool(P,Q),R)=hAPP_bool_bool(hAPP_i68813070l_bool(P,R),hAPP_int_bool(Q,R)).
% 15.63/15.49 0 [] hAPP_nat_bool(cOMBS_nat_bool_bool(P,Q),R)=hAPP_bool_bool(hAPP_n1006566506l_bool(P,R),hAPP_nat_bool(Q,R)).
% 15.63/15.49 0 [] hAPP_pname_bool(cOMBB_647938656_pname(P,Q),R)=hAPP_bool_bool(P,hAPP_pname_bool(Q,R)).
% 15.63/15.49 0 [] hAPP_pname_bool(cOMBS_568398431l_bool(P,Q),R)=hAPP_bool_bool(hAPP_p393069232l_bool(P,R),hAPP_pname_bool(Q,R)).
% 15.63/15.49 0 [] hAPP_pname_bool(hAPP_p61793385e_bool(cOMBC_1149511130e_bool(P),Q),R)=hAPP_pname_bool(hAPP_p61793385e_bool(P,R),Q).
% 15.63/15.49 0 [] hAPP_int_fun_a_bool(cOMBB_375279840ol_int(P,Q),R)=hAPP_a_fun_a_bool(P,hAPP_int_a(Q,R)).
% 15.63/15.49 0 [] hAPP_a_bool(cOMBB_1273333599bool_a(P,Q),R)=hAPP_fun_a_bool_bool(P,hAPP_a_fun_a_bool(Q,R)).
% 15.63/15.49 0 [] hAPP_a_bool(hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(P),Q),R)=hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(P,R),Q).
% 15.63/15.49 0 [] hAPP_p1534023578a_bool(cOMBB_1897541054_pname(P,Q),R)=hAPP_a_fun_a_bool(P,hAPP_pname_a(Q,R)).
% 15.63/15.49 0 [] hAPP_int_bool(hAPP_f1812805200t_bool(cOMBC_1753430397l_bool(P),Q),R)=hAPP_fun_a_bool_bool(hAPP_i888906320l_bool(P,R),Q).
% 15.63/15.49 0 [] hAPP_nat_bool(hAPP_f282463732t_bool(cOMBC_1928494297l_bool(P),Q),R)=hAPP_fun_a_bool_bool(hAPP_n1414589940l_bool(P,R),Q).
% 15.63/15.49 0 [] hAPP_a_fun_bool_bool(cOMBB_1972296269bool_a(P,Q),R)=hAPP_b589554111l_bool(P,hAPP_a_bool(Q,R)).
% 15.63/15.49 0 [] hAPP_fun_a_bool_bool(cOMBS_1035972772l_bool(P,Q),R)=hAPP_bool_bool(hAPP_f198738859l_bool(P,R),hAPP_fun_a_bool_bool(Q,R)).
% 15.63/15.49 0 [] hAPP_n1082236369t_bool(cOMBB_1628441366ol_nat(P,Q),R)=hAPP_i1948725293t_bool(P,hAPP_nat_int(Q,R)).
% 15.63/15.49 0 [] hAPP_n1699378549t_bool(cOMBB_800536526ol_nat(P,Q),R)=hAPP_n1699378549t_bool(P,hAPP_nat_nat(Q,R)).
% 15.63/15.49 0 [] hAPP_a_fun_a_bool(hAPP_f1038053735a_bool(cOMBC_394484100a_bool(P),Q),R)=hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(P,R),Q).
% 15.63/15.49 0 [] hAPP_int_bool(cOMBB_1418110531ol_int(P,Q),R)=hAPP_f448129468l_bool(P,hAPP_i1948725293t_bool(Q,R)).
% 15.63/15.49 0 [] hAPP_nat_bool(cOMBB_955900739ol_nat(P,Q),R)=hAPP_f54304608l_bool(P,hAPP_n1699378549t_bool(Q,R)).
% 15.63/15.49 0 [] hAPP_int_bool(hAPP_f1805168059t_bool(cOMBC_94739984l_bool(P),Q),R)=hAPP_f448129468l_bool(hAPP_i2112223885l_bool(P,R),Q).
% 15.63/15.49 0 [] hAPP_int_bool(hAPP_f183368031t_bool(cOMBC_1848398772l_bool(P),Q),R)=hAPP_f54304608l_bool(hAPP_i1718399025l_bool(P,R),Q).
% 15.63/15.49 0 [] hAPP_nat_bool(hAPP_f274826591t_bool(cOMBC_620423604l_bool(P),Q),R)=hAPP_f448129468l_bool(hAPP_n609083369l_bool(P,R),Q).
% 15.63/15.49 0 [] hAPP_nat_bool(hAPP_f800510211t_bool(cOMBC_226598744l_bool(P),Q),R)=hAPP_f54304608l_bool(hAPP_n215258509l_bool(P,R),Q).
% 15.63/15.49 0 [] hAPP_i68813070l_bool(cOMBB_1652995168ol_int(P,Q),R)=hAPP_b589554111l_bool(P,hAPP_int_bool(Q,R)).
% 15.63/15.49 0 [] hAPP_n1006566506l_bool(cOMBB_1015721476ol_nat(P,Q),R)=hAPP_b589554111l_bool(P,hAPP_nat_bool(Q,R)).
% 15.63/15.49 0 [] hAPP_f448129468l_bool(cOMBS_1912792529l_bool(P,Q),R)=hAPP_bool_bool(hAPP_f1721100032l_bool(P,R),hAPP_f448129468l_bool(Q,R)).
% 15.63/15.49 0 [] hAPP_f54304608l_bool(cOMBS_1187019125l_bool(P,Q),R)=hAPP_bool_bool(hAPP_f1748468828l_bool(P,R),hAPP_f54304608l_bool(Q,R)).
% 15.63/15.49 0 [] hAPP_int_bool(hAPP_f449020825t_bool(cOMBC_316919022l_bool(P),Q),R)=hAPP_f1664156314l_bool(hAPP_i1587699435l_bool(P,R),Q).
% 15.63/15.49 0 [] hAPP_nat_bool(hAPP_f1066163005t_bool(cOMBC_386238098l_bool(P),Q),R)=hAPP_f1664156314l_bool(hAPP_n850744903l_bool(P,R),Q).
% 15.63/15.49 0 [] hAPP_p393069232l_bool(cOMBB_675860798_pname(P,Q),R)=hAPP_b589554111l_bool(P,hAPP_pname_bool(Q,R)).
% 15.63/15.49 0 [] hAPP_f1664156314l_bool(cOMBS_350070575l_bool(P,Q),R)=hAPP_bool_bool(hAPP_f1476298914l_bool(P,R),hAPP_f1664156314l_bool(Q,R)).
% 15.63/15.49 0 [] hAPP_pname_bool(hAPP_f759274231e_bool(cOMBC_1058051404l_bool(P),Q),R)=hAPP_f1664156314l_bool(hAPP_p338031245l_bool(P,R),Q).
% 15.63/15.49 0 [] hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(P),Q),R)=hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(P,R),Q).
% 15.63/15.49 0 [] hAPP_f198738859l_bool(cOMBB_338059395a_bool(P,Q),R)=hAPP_b589554111l_bool(P,hAPP_fun_a_bool_bool(Q,R)).
% 15.63/15.49 0 [] hAPP_n215258509l_bool(cOMBB_1146692694ol_nat(P,Q),R)=hAPP_n215258509l_bool(P,hAPP_nat_nat(Q,R)).
% 15.63/15.49 0 [] hAPP_i1948725293t_bool(hAPP_f1048215610t_bool(cOMBC_1683390479t_bool(P),Q),R)=hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(P,R),Q).
% 15.63/15.49 0 [] hAPP_n1699378549t_bool(hAPP_f1570313510t_bool(cOMBC_178881787t_bool(P),Q),R)=hAPP_f800510211t_bool(hAPP_n1512601776t_bool(P,R),Q).
% 15.63/15.49 0 [] hAPP_f448129468l_bool(hAPP_f284875647l_bool(cOMBC_605892544l_bool(P),Q),R)=hAPP_f448129468l_bool(hAPP_f284875647l_bool(P,R),Q).
% 15.63/15.49 0 [] hAPP_f54304608l_bool(hAPP_f103356543l_bool(cOMBC_1693257480l_bool(P),Q),R)=hAPP_f54304608l_bool(hAPP_f103356543l_bool(P,R),Q).
% 15.63/15.49 0 [] hAPP_f1721100032l_bool(cOMBB_1974511970t_bool(P,Q),R)=hAPP_b589554111l_bool(P,hAPP_f448129468l_bool(Q,R)).
% 15.63/15.49 0 [] hAPP_f1748468828l_bool(cOMBB_444170502t_bool(P,Q),R)=hAPP_b589554111l_bool(P,hAPP_f54304608l_bool(Q,R)).
% 15.63/15.49 0 [] hAPP_f1476298914l_bool(cOMBB_2095475776e_bool(P,Q),R)=hAPP_b589554111l_bool(P,hAPP_f1664156314l_bool(Q,R)).
% 15.63/15.49 0 [] hAPP_f1664156314l_bool(hAPP_f434788991l_bool(cOMBC_1284144636l_bool(P),Q),R)=hAPP_f1664156314l_bool(hAPP_f434788991l_bool(P,R),Q).
% 15.63/15.49 0 [] hAPP_i888906320l_bool(cOMBB_313729068ol_int(P,Q),R)=hAPP_f1631501043l_bool(P,hAPP_int_fun_a_bool(Q,R)).
% 15.63/15.49 0 [] hAPP_n1414589940l_bool(cOMBB_1823939024ol_nat(P,Q),R)=hAPP_f1631501043l_bool(P,hAPP_nat_fun_a_bool(Q,R)).
% 15.63/15.49 0 [] hAPP_i2112223885l_bool(cOMBB_1761098400ol_int(P,Q),R)=hAPP_f284875647l_bool(P,hAPP_i1948725293t_bool(Q,R)).
% 15.63/15.49 0 [] hAPP_n609083369l_bool(cOMBB_1123824708ol_nat(P,Q),R)=hAPP_f284875647l_bool(P,hAPP_n1082236369t_bool(Q,R)).
% 15.63/15.49 0 [] hAPP_i1718399025l_bool(cOMBB_516767136ol_int(P,Q),R)=hAPP_f103356543l_bool(P,hAPP_i418383825t_bool(Q,R)).
% 15.63/15.49 0 [] hAPP_n215258509l_bool(cOMBB_2026977092ol_nat(P,Q),R)=hAPP_f103356543l_bool(P,hAPP_n1699378549t_bool(Q,R)).
% 15.63/15.49 0 [] hAPP_i1587699435l_bool(cOMBB_607112096ol_int(P,Q),R)=hAPP_f434788991l_bool(P,hAPP_i7355787e_bool(Q,R)).
% 15.63/15.49 0 [] hAPP_n850744903l_bool(cOMBB_2117322052ol_nat(P,Q),R)=hAPP_f434788991l_bool(P,hAPP_n1025906991e_bool(Q,R)).
% 15.63/15.49 0 [] hAPP_f621171935l_bool(hAPP_f1434722111l_bool(cOMBC_331553030l_bool(P),Q),R)=hAPP_f621171935l_bool(hAPP_f1434722111l_bool(P,R),Q).
% 15.63/15.49 0 [] hAPP_f215623910l_bool(hAPP_f317860125l_bool(cOMBC_348868698l_bool(P),Q),R)=hAPP_f215623910l_bool(hAPP_f317860125l_bool(P,R),Q).
% 15.63/15.49 0 [] hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(cOMBC_595898202l_bool(P),Q),R)=hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(P,R),Q).
% 15.63/15.49 0 [] hAPP_f1935102916l_bool(hAPP_f510955609l_bool(cOMBC_7971162l_bool(P),Q),R)=hAPP_f1935102916l_bool(hAPP_f510955609l_bool(P,R),Q).
% 15.63/15.49 0 [] hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,u)).
% 15.63/15.49 0 [] hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),image_pname_a(mgt_call,u))).
% 15.63/15.49 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,na)),hAPP_fun_a_bool_nat(finite_card_a,image_pname_a(mgt_call,u)))).
% 15.63/15.49 0 [] hAPP_fun_a_bool_nat(finite_card_a,g)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_fun_a_bool_nat(finite_card_a,image_pname_a(mgt_call,u))),hAPP_nat_nat(suc,na)).
% 15.63/15.49 0 [] hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)).
% 15.63/15.49 0 [] -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(mgt_call,pn)),g)).
% 15.63/15.49 0 [] -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,hAPP_pname_a(mgt_call,pn)),g)),image_pname_a(mgt_call,u))).
% 15.63/15.49 end_of_list.
% 15.63/15.49
% 15.63/15.49 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 15.63/15.49
% 15.63/15.49 This ia a non-Horn set with equality. The strategy will be
% 15.63/15.49 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 15.63/15.49 deletion, with positive clauses in sos and nonpositive
% 15.63/15.49 clauses in usable.
% 15.63/15.49
% 15.63/15.49 dependent: set(knuth_bendix).
% 15.63/15.49 dependent: set(anl_eq).
% 15.63/15.49 dependent: set(para_from).
% 15.63/15.49 dependent: set(para_into).
% 15.63/15.49 dependent: clear(para_from_right).
% 15.63/15.49 dependent: clear(para_into_right).
% 15.63/15.49 dependent: set(para_from_vars).
% 15.63/15.49 dependent: set(eq_units_both_ways).
% 15.63/15.49 dependent: set(dynamic_demod_all).
% 15.63/15.49 dependent: set(dynamic_demod).
% 15.63/15.49 dependent: set(order_eq).
% 15.63/15.49 dependent: set(back_demod).
% 15.63/15.49 dependent: set(lrpo).
% 15.63/15.49 dependent: set(hyper_res).
% 15.63/15.49 dependent: set(unit_deletion).
% 15.63/15.49 dependent: set(factor).
% 15.63/15.49
% 15.63/15.49 ------------> process usable:
% 15.63/15.49 ** KEPT (pick-wt=6): 1 [] -is_fun_a_bool(A)|is_fun_a_bool(cOMBB_bool_bool_a(B,A)).
% 15.63/15.49 ** KEPT (pick-wt=6): 2 [] -is_fun_pname_bool(A)|is_fun_pname_bool(cOMBB_647938656_pname(B,A)).
% 15.63/15.49 ** KEPT (pick-wt=6): 3 [] -is_fun949378684l_bool(A)|is_fun_a_bool(cOMBB_1273333599bool_a(A,B)).
% 15.63/15.49 ** KEPT (pick-wt=5): 4 [] -is_bool(A)|is_fun_a_bool(cOMBK_bool_a(A)).
% 15.63/15.49 ** KEPT (pick-wt=6): 5 [] -is_fun_a_bool(A)|is_fun_a_bool(cOMBS_a_bool_bool(B,A)).
% 15.63/15.49 ** KEPT (pick-wt=6): 6 [] -is_fun_pname_bool(A)|is_fun_pname_bool(cOMBS_568398431l_bool(B,A)).
% 15.63/15.49 ** KEPT (pick-wt=6): 7 [] -is_fun949378684l_bool(A)|is_fun949378684l_bool(cOMBS_1035972772l_bool(B,A)).
% 15.63/15.49 ** KEPT (pick-wt=6): 8 [] -is_fun1661590463l_bool(A)|is_fun1661590463l_bool(cOMBS_350070575l_bool(B,A)).
% 15.63/15.49 ** KEPT (pick-wt=5): 9 [] -is_fun_a_bool(A)|is_fun_a_bool(collect_a(A)).
% 15.63/15.49 ** KEPT (pick-wt=5): 10 [] -is_fun_pname_bool(A)|is_fun_pname_bool(collect_pname(A)).
% 15.63/15.49 ** KEPT (pick-wt=5): 11 [] -is_fun949378684l_bool(A)|is_fun949378684l_bool(collect_fun_a_bool(A)).
% 15.63/15.49 ** KEPT (pick-wt=5): 12 [] -is_fun1661590463l_bool(A)|is_fun1661590463l_bool(collec1974731493e_bool(A)).
% 15.63/15.49 ** KEPT (pick-wt=6): 13 [] -is_fun_a_bool(A)|is_fun_a_bool(image_a_a(B,A)).
% 15.63/15.49 ** KEPT (pick-wt=6): 14 [] -is_fun_a_bool(A)|is_fun_pname_bool(image_a_pname(B,A)).
% 15.63/15.49 ** KEPT (pick-wt=6): 15 [] -is_fun_a_bool(A)|is_fun949378684l_bool(image_a_fun_a_bool(B,A)).
% 15.63/15.49 ** KEPT (pick-wt=6): 16 [] -is_fun_a_bool(A)|is_fun1661590463l_bool(image_819518260e_bool(B,A)).
% 15.63/15.49 ** KEPT (pick-wt=6): 17 [] -is_fun_pname_bool(A)|is_fun_a_bool(image_pname_a(B,A)).
% 15.63/15.49 ** KEPT (pick-wt=6): 18 [] -is_fun_pname_bool(A)|is_fun_pname_bool(image_pname_pname(B,A)).
% 15.63/15.49 ** KEPT (pick-wt=6): 19 [] -is_fun_pname_bool(A)|is_fun949378684l_bool(image_112932426a_bool(B,A)).
% 15.63/15.49 ** KEPT (pick-wt=6): 20 [] -is_fun_pname_bool(A)|is_fun1661590463l_bool(image_47868345e_bool(B,A)).
% 15.63/15.49 ** KEPT (pick-wt=6): 21 [] -is_fun949378684l_bool(A)|is_fun_a_bool(image_fun_a_bool_a(B,A)).
% 15.63/15.49 ** KEPT (pick-wt=6): 22 [] -is_fun949378684l_bool(A)|is_fun_pname_bool(image_1854862208_pname(B,A)).
% 15.63/15.49 ** KEPT (pick-wt=6): 23 [] -is_fun1661590463l_bool(A)|is_fun_a_bool(image_876012084bool_a(B,A)).
% 15.63/15.49 ** KEPT (pick-wt=6): 24 [] -is_fun1661590463l_bool(A)|is_fun_pname_bool(image_1283814551_pname(B,A)).
% 15.63/15.49 ** KEPT (pick-wt=6): 25 [] -is_a(A)|is_a(hAPP_a_a(B,A)).
% 15.63/15.49 ** KEPT (pick-wt=8): 26 [] -is_fun_a_bool(A)| -is_a(B)|is_bool(hAPP_a_bool(A,B)).
% 15.63/15.49 ** KEPT (pick-wt=6): 27 [] -is_a(A)|is_fun_a_bool(hAPP_a_fun_a_bool(B,A)).
% 15.63/15.49 ** KEPT (pick-wt=6): 28 [] -is_a(A)|is_fun_pname_bool(hAPP_a93125764e_bool(B,A)).
% 15.63/15.49 ** KEPT (pick-wt=6): 29 [] -is_a(A)|is_fun949378684l_bool(hAPP_a85458249l_bool(B,A)).
% 15.63/15.49 ** KEPT (pick-wt=6): 30 [] -is_pname(A)|is_a(hAPP_pname_a(B,A)).
% 15.63/15.49 ** KEPT (pick-wt=6): 31 [] -is_pname(A)|is_pname(hAPP_pname_pname(B,A)).
% 15.63/15.49 ** KEPT (pick-wt=8): 32 [] -is_fun_pname_bool(A)| -is_pname(B)|is_bool(hAPP_pname_bool(A,B)).
% 15.63/15.49 ** KEPT (pick-wt=6): 33 [] -is_pname(A)|is_fun_a_bool(hAPP_p1534023578a_bool(B,A)).
% 15.63/15.49 ** KEPT (pick-wt=6): 34 [] -is_pname(A)|is_fun_pname_bool(hAPP_p61793385e_bool(B,A)).
% 15.63/15.49 ** KEPT (pick-wt=6): 35 [] -is_pname(A)|is_fun1661590463l_bool(hAPP_p338031245l_bool(B,A)).
% 15.63/15.49 ** KEPT (pick-wt=6): 36 [] -is_bool(A)|is_bool(hAPP_bool_bool(B,A)).
% 15.63/15.49 ** KEPT (pick-wt=6): 37 [] -is_fun_a_bool(A)|is_a(hAPP_fun_a_bool_a(B,A)).
% 15.63/15.49 ** KEPT (pick-wt=8): 38 [] -is_fun949378684l_bool(A)| -is_fun_a_bool(B)|is_bool(hAPP_fun_a_bool_bool(A,B)).
% 15.63/15.49 ** KEPT (pick-wt=6): 39 [] -is_fun_a_bool(A)|is_fun_a_bool(hAPP_f2050579477a_bool(B,A)).
% 15.63/15.49 ** KEPT (pick-wt=6): 40 [] -is_fun_a_bool(A)|is_fun949378684l_bool(hAPP_f1631501043l_bool(B,A)).
% 15.63/15.49 ** KEPT (pick-wt=6): 41 [] -is_fun_pname_bool(A)|is_pname(hAPP_f1297739591_pname(B,A)).
% 15.63/15.49 ** KEPT (pick-wt=8): 42 [] -is_fun1661590463l_bool(A)| -is_fun_pname_bool(B)|is_bool(hAPP_f1664156314l_bool(A,B)).
% 15.63/15.49 ** KEPT (pick-wt=6): 43 [] -is_fun_pname_bool(A)|is_fun_pname_bool(hAPP_f759274231e_bool(B,A)).
% 15.63/15.49 ** KEPT (pick-wt=6): 44 [] -is_fun_pname_bool(A)|is_fun1661590463l_bool(hAPP_f434788991l_bool(B,A)).
% 15.63/15.49 ** KEPT (pick-wt=6): 45 [] -is_fun949378684l_bool(A)|is_bool(hAPP_f621171935l_bool(B,A)).
% 15.63/15.49 ** KEPT (pick-wt=6): 46 [] -is_fun949378684l_bool(A)|is_fun949378684l_bool(hAPP_f2117159681l_bool(B,A)).
% 15.63/15.49 ** KEPT (pick-wt=6): 47 [] -is_fun1661590463l_bool(A)|is_bool(hAPP_f1935102916l_bool(B,A)).
% 15.63/15.49 ** KEPT (pick-wt=6): 48 [] -is_fun1661590463l_bool(A)|is_fun1661590463l_bool(hAPP_f559147733l_bool(B,A)).
% 15.63/15.49 ** KEPT (pick-wt=5): 49 [] -is_fun_a_bool(A)|is_fun949378684l_bool(p(A)).
% 15.63/15.49 ** KEPT (pick-wt=11): 50 [] -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B))|hBOOL(hAPP_fun_a_bool_bool(p(B),A)).
% 15.63/15.49 ** KEPT (pick-wt=12): 51 [] -hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A))|hBOOL(hAPP_f1593524852l_bool(finite2095298929l_bool,collec1409689523l_bool(hAPP_f317860125l_bool(cOMBC_348868698l_bool(ord_le1848167016l_bool),A)))).
% 15.63/15.49 ** KEPT (pick-wt=12): 52 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A))|hBOOL(hAPP_f937997336l_bool(finite1701474069l_bool,collec1015864663l_bool(hAPP_f1772781669l_bool(cOMBC_595898202l_bool(ord_le1454342156l_bool),A)))).
% 15.63/15.49 ** KEPT (pick-wt=12): 53 [] -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A))|hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,collec1613912337l_bool(hAPP_f510955609l_bool(cOMBC_7971162l_bool(ord_le675606854l_bool),A)))).
% 15.63/15.49 ** KEPT (pick-wt=12): 54 [] -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A))|hBOOL(hAPP_f292226953l_bool(finite1381704300l_bool,collec707592106l_bool(hAPP_f1434722111l_bool(cOMBC_331553030l_bool(ord_le1375614389l_bool),A)))).
% 15.63/15.49 ** KEPT (pick-wt=12): 55 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(ord_le1311769555a_bool),A)))).
% 15.63/15.49 ** KEPT (pick-wt=12): 56 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(hAPP_f434788991l_bool(cOMBC_1284144636l_bool(ord_le313189616e_bool),A)))).
% 15.63/15.49 ** KEPT (pick-wt=12): 57 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))|hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(hAPP_f103356543l_bool(cOMBC_1693257480l_bool(ord_le1568362934t_bool),A)))).
% 15.63/15.49 ** KEPT (pick-wt=12): 58 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))|hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,collect_fun_int_bool(hAPP_f284875647l_bool(cOMBC_605892544l_bool(ord_le951220754t_bool),A)))).
% 15.63/15.49 ** KEPT (pick-wt=10): 59 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))|hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,image_1512837979t_bool(B,A))).
% 15.63/15.49 ** KEPT (pick-wt=10): 60 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))|hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_2129980159t_bool(B,A))).
% 15.63/15.49 ** KEPT (pick-wt=10): 61 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_47868345e_bool(B,A))).
% 15.63/15.49 ** KEPT (pick-wt=10): 62 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_112932426a_bool(B,A))).
% 15.63/15.49 ** KEPT (pick-wt=10): 63 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_nat_a(B,A))).
% 15.63/15.49 ** KEPT (pick-wt=10): 64 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))|hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,image_1556378401t_bool(B,A))).
% 15.63/15.49 ** KEPT (pick-wt=10): 65 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))|hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_26036933t_bool(B,A))).
% 15.63/15.49 ** KEPT (pick-wt=10): 66 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_1655916159e_bool(B,A))).
% 15.63/15.49 ** KEPT (pick-wt=10): 67 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_nat_fun_a_bool(B,A))).
% 15.63/15.49 ** KEPT (pick-wt=10): 68 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_int_a(B,A))).
% 15.63/15.49 ** KEPT (pick-wt=10): 69 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))|hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,image_275383677t_bool(B,A))).
% 15.63/15.49 ** KEPT (pick-wt=10): 70 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))|hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_892525857t_bool(B,A))).
% 15.63/15.49 ** KEPT (pick-wt=10): 71 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_637364955e_bool(B,A))).
% 15.63/15.49 ** KEPT (pick-wt=10): 72 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_int_fun_a_bool(B,A))).
% 15.63/15.49 ** KEPT (pick-wt=10): 73 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_a_pname(B,A))).
% 15.63/15.49 ** KEPT (pick-wt=10): 74 [] -hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_62782965_pname(B,A))).
% 15.63/15.49 ** KEPT (pick-wt=10): 75 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1921560913_pname(B,A))).
% 15.63/15.49 ** KEPT (pick-wt=10): 76 [] -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1283814551_pname(B,A))).
% 15.63/15.49 ** KEPT (pick-wt=10): 77 [] -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1854862208_pname(B,A))).
% 15.63/15.49 ** KEPT (pick-wt=10): 78 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_a_nat(B,A))).
% 15.63/15.49 ** KEPT (pick-wt=10): 79 [] -hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_1431733819ol_nat(B,A))).
% 15.63/15.49 ** KEPT (pick-wt=10): 80 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_496248727ol_nat(B,A))).
% 15.63/15.49 ** KEPT (pick-wt=10): 81 [] -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_1551609309ol_nat(B,A))).
% 15.63/15.49 ** KEPT (pick-wt=10): 82 [] -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_fun_a_bool_nat(B,A))).
% 15.63/15.49 ** KEPT (pick-wt=10): 83 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))|hBOOL(hAPP_f448129468l_bool(finite_finite_int,image_a_int(B,A))).
% 15.63/15.49 ** KEPT (pick-wt=10): 84 [] -hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A))|hBOOL(hAPP_f448129468l_bool(finite_finite_int,image_2069007511ol_int(B,A))).
% 15.63/15.49 ** KEPT (pick-wt=10): 85 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A))|hBOOL(hAPP_f448129468l_bool(finite_finite_int,image_1133522419ol_int(B,A))).
% 15.63/15.49 ** KEPT (pick-wt=10): 86 [] -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A))|hBOOL(hAPP_f448129468l_bool(finite_finite_int,image_41399353ol_int(B,A))).
% 15.63/15.49 ** KEPT (pick-wt=10): 87 [] -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A))|hBOOL(hAPP_f448129468l_bool(finite_finite_int,image_fun_a_bool_int(B,A))).
% 15.63/15.49 ** KEPT (pick-wt=10): 88 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_pname_a(B,A))).
% 15.63/15.49 ** KEPT (pick-wt=10): 89 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))|hBOOL(hAPP_f448129468l_bool(finite_finite_int,image_nat_int(B,A))).
% 15.63/15.49 ** KEPT (pick-wt=12): 90 [] -hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A))|hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,hAPP_f1948010709l_bool(hAPP_f587666462l_bool(insert_fun_int_bool,B),A))).
% 15.63/15.49 ** KEPT (pick-wt=12): 91 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A))|hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,hAPP_f1246832597l_bool(hAPP_f633452666l_bool(insert_fun_nat_bool,B),A))).
% 15.63/15.49 ** KEPT (pick-wt=12): 92 [] -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,B),A))).
% 15.63/15.49 ** KEPT (pick-wt=12): 93 [] -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,hAPP_f2117159681l_bool(hAPP_f1531278575l_bool(insert_fun_a_bool,B),A))).
% 15.63/15.49 ** KEPT (pick-wt=12): 94 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,B),A))).
% 15.63/15.49 ** KEPT (pick-wt=12): 95 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,B),A))).
% 15.63/15.49 ** KEPT (pick-wt=12): 96 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))|hBOOL(hAPP_f448129468l_bool(finite_finite_int,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,B),A))).
% 15.63/15.49 ** KEPT (pick-wt=12): 97 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,B),A))).
% 15.63/15.49 ** KEPT (pick-wt=16): 98 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f921600141ol_nat(finite_card_pname,image_pname_pname(B,A))),hAPP_f921600141ol_nat(finite_card_pname,A))).
% 15.63/15.49 ** KEPT (pick-wt=16): 99 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_fun_a_bool_nat(finite_card_a,image_a_a(B,A))),hAPP_fun_a_bool_nat(finite_card_a,A))).
% 15.63/15.49 ** KEPT (pick-wt=16): 100 [] -hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_fun_a_bool_nat(finite_card_a,image_fun_int_bool_a(B,A))),hAPP_f521865025ol_nat(finite1876863882t_bool,A))).
% 15.63/15.49 ** KEPT (pick-wt=16): 101 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_fun_a_bool_nat(finite_card_a,image_fun_nat_bool_a(B,A))),hAPP_f696928925ol_nat(finite346522414t_bool,A))).
% 15.63/15.49 ** KEPT (pick-wt=16): 102 [] -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_fun_a_bool_nat(finite_card_a,image_876012084bool_a(B,A))),hAPP_f55526627ol_nat(finite1340463720e_bool,A))).
% 15.63/15.49 ** KEPT (pick-wt=16): 103 [] -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_fun_a_bool_nat(finite_card_a,image_fun_a_bool_a(B,A))),hAPP_f2009550088ol_nat(finite1306199131a_bool,A))).
% 15.63/15.49 ** KEPT (pick-wt=16): 104 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f22106695ol_nat(finite_card_nat,image_pname_nat(B,A))),hAPP_f921600141ol_nat(finite_card_pname,A))).
% 15.63/15.49 ** KEPT (pick-wt=16): 105 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f22106695ol_nat(finite_card_nat,image_a_nat(B,A))),hAPP_fun_a_bool_nat(finite_card_a,A))).
% 15.63/15.49 ** KEPT (pick-wt=16): 106 [] -hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f22106695ol_nat(finite_card_nat,image_1431733819ol_nat(B,A))),hAPP_f521865025ol_nat(finite1876863882t_bool,A))).
% 15.63/15.49 ** KEPT (pick-wt=16): 107 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f22106695ol_nat(finite_card_nat,image_496248727ol_nat(B,A))),hAPP_f696928925ol_nat(finite346522414t_bool,A))).
% 15.63/15.49 ** KEPT (pick-wt=16): 108 [] -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f22106695ol_nat(finite_card_nat,image_1551609309ol_nat(B,A))),hAPP_f55526627ol_nat(finite1340463720e_bool,A))).
% 15.63/15.49 ** KEPT (pick-wt=16): 109 [] -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f22106695ol_nat(finite_card_nat,image_fun_a_bool_nat(B,A))),hAPP_f2009550088ol_nat(finite1306199131a_bool,A))).
% 15.63/15.49 ** KEPT (pick-wt=16): 110 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f957591787ol_nat(finite_card_int,image_pname_int(B,A))),hAPP_f921600141ol_nat(finite_card_pname,A))).
% 15.63/15.49 ** KEPT (pick-wt=16): 111 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f957591787ol_nat(finite_card_int,image_a_int(B,A))),hAPP_fun_a_bool_nat(finite_card_a,A))).
% 15.63/15.49 ** KEPT (pick-wt=16): 112 [] -hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f957591787ol_nat(finite_card_int,image_2069007511ol_int(B,A))),hAPP_f521865025ol_nat(finite1876863882t_bool,A))).
% 15.63/15.49 ** KEPT (pick-wt=16): 113 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f957591787ol_nat(finite_card_int,image_1133522419ol_int(B,A))),hAPP_f696928925ol_nat(finite346522414t_bool,A))).
% 15.63/15.49 ** KEPT (pick-wt=16): 114 [] -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f957591787ol_nat(finite_card_int,image_41399353ol_int(B,A))),hAPP_f55526627ol_nat(finite1340463720e_bool,A))).
% 15.63/15.49 ** KEPT (pick-wt=16): 115 [] -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f957591787ol_nat(finite_card_int,image_fun_a_bool_int(B,A))),hAPP_f2009550088ol_nat(finite1306199131a_bool,A))).
% 15.63/15.49 ** KEPT (pick-wt=16): 116 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f921600141ol_nat(finite_card_pname,image_a_pname(B,A))),hAPP_fun_a_bool_nat(finite_card_a,A))).
% 15.63/15.49 ** KEPT (pick-wt=16): 117 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f921600141ol_nat(finite_card_pname,image_nat_pname(B,A))),hAPP_f22106695ol_nat(finite_card_nat,A))).
% 15.63/15.49 ** KEPT (pick-wt=16): 118 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f921600141ol_nat(finite_card_pname,image_int_pname(B,A))),hAPP_f957591787ol_nat(finite_card_int,A))).
% 15.63/15.49 ** KEPT (pick-wt=16): 119 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_fun_a_bool_nat(finite_card_a,image_pname_a(B,A))),hAPP_f921600141ol_nat(finite_card_pname,A))).
% 15.63/15.49 ** KEPT (pick-wt=16): 120 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f957591787ol_nat(finite_card_int,image_nat_int(B,A))),hAPP_f22106695ol_nat(finite_card_nat,A))).
% 15.63/15.49 ** KEPT (pick-wt=20): 121 [] -hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A))| -hBOOL(hAPP_f215623910l_bool(hAPP_f317860125l_bool(ord_le1848167016l_bool,B),A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f521865025ol_nat(finite1876863882t_bool,B)),hAPP_f521865025ol_nat(finite1876863882t_bool,A))).
% 15.63/15.49 ** KEPT (pick-wt=20): 122 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A))| -hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,B),A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f696928925ol_nat(finite346522414t_bool,B)),hAPP_f696928925ol_nat(finite346522414t_bool,A))).
% 15.63/15.49 ** KEPT (pick-wt=20): 123 [] -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A))| -hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,B),A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f55526627ol_nat(finite1340463720e_bool,B)),hAPP_f55526627ol_nat(finite1340463720e_bool,A))).
% 15.63/15.49 ** KEPT (pick-wt=20): 124 [] -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A))| -hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,B),A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f2009550088ol_nat(finite1306199131a_bool,B)),hAPP_f2009550088ol_nat(finite1306199131a_bool,A))).
% 15.63/15.49 ** KEPT (pick-wt=20): 125 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f921600141ol_nat(finite_card_pname,B)),hAPP_f921600141ol_nat(finite_card_pname,A))).
% 15.63/15.49 ** KEPT (pick-wt=20): 126 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_fun_a_bool_nat(finite_card_a,B)),hAPP_fun_a_bool_nat(finite_card_a,A))).
% 15.63/15.49 ** KEPT (pick-wt=20): 127 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f22106695ol_nat(finite_card_nat,B)),hAPP_f22106695ol_nat(finite_card_nat,A))).
% 15.63/15.49 ** KEPT (pick-wt=20): 128 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f957591787ol_nat(finite_card_int,B)),hAPP_f957591787ol_nat(finite_card_int,A))).
% 15.63/15.49 ** KEPT (pick-wt=23): 129 [] -hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A))| -hBOOL(hAPP_f215623910l_bool(hAPP_f317860125l_bool(ord_le1848167016l_bool,B),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f521865025ol_nat(finite1876863882t_bool,A)),hAPP_f521865025ol_nat(finite1876863882t_bool,B)))|B=A.
% 15.63/15.49 ** KEPT (pick-wt=23): 130 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A))| -hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,B),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f696928925ol_nat(finite346522414t_bool,A)),hAPP_f696928925ol_nat(finite346522414t_bool,B)))|B=A.
% 15.63/15.49 ** KEPT (pick-wt=27): 131 [] -is_fun1661590463l_bool(A)| -is_fun1661590463l_bool(B)| -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B))| -hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f55526627ol_nat(finite1340463720e_bool,B)),hAPP_f55526627ol_nat(finite1340463720e_bool,A)))|A=B.
% 15.63/15.49 ** KEPT (pick-wt=27): 132 [] -is_fun949378684l_bool(A)| -is_fun949378684l_bool(B)| -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B))| -hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f2009550088ol_nat(finite1306199131a_bool,B)),hAPP_f2009550088ol_nat(finite1306199131a_bool,A)))|A=B.
% 15.63/15.49 ** KEPT (pick-wt=27): 133 [] -is_fun_pname_bool(A)| -is_fun_pname_bool(B)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f921600141ol_nat(finite_card_pname,B)),hAPP_f921600141ol_nat(finite_card_pname,A)))|A=B.
% 15.63/15.49 ** KEPT (pick-wt=27): 134 [] -is_fun_a_bool(A)| -is_fun_a_bool(B)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_fun_a_bool_nat(finite_card_a,B)),hAPP_fun_a_bool_nat(finite_card_a,A)))|A=B.
% 15.63/15.49 ** KEPT (pick-wt=23): 135 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f22106695ol_nat(finite_card_nat,A)),hAPP_f22106695ol_nat(finite_card_nat,B)))|B=A.
% 15.63/15.49 ** KEPT (pick-wt=23): 136 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f957591787ol_nat(finite_card_int,A)),hAPP_f957591787ol_nat(finite_card_int,B)))|B=A.
% 15.63/15.49 ** KEPT (pick-wt=18): 137 [] -hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f521865025ol_nat(finite1876863882t_bool,A)),hAPP_f521865025ol_nat(finite1876863882t_bool,hAPP_f1948010709l_bool(hAPP_f587666462l_bool(insert_fun_int_bool,B),A)))).
% 15.63/15.49 ** KEPT (pick-wt=18): 138 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f696928925ol_nat(finite346522414t_bool,A)),hAPP_f696928925ol_nat(finite346522414t_bool,hAPP_f1246832597l_bool(hAPP_f633452666l_bool(insert_fun_nat_bool,B),A)))).
% 15.63/15.49 ** KEPT (pick-wt=18): 139 [] -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f55526627ol_nat(finite1340463720e_bool,A)),hAPP_f55526627ol_nat(finite1340463720e_bool,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,B),A)))).
% 15.63/15.49 ** KEPT (pick-wt=18): 140 [] -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f2009550088ol_nat(finite1306199131a_bool,A)),hAPP_f2009550088ol_nat(finite1306199131a_bool,hAPP_f2117159681l_bool(hAPP_f1531278575l_bool(insert_fun_a_bool,B),A)))).
% 15.63/15.49 ** KEPT (pick-wt=18): 141 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f921600141ol_nat(finite_card_pname,A)),hAPP_f921600141ol_nat(finite_card_pname,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,B),A)))).
% 15.63/15.49 ** KEPT (pick-wt=18): 142 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f22106695ol_nat(finite_card_nat,A)),hAPP_f22106695ol_nat(finite_card_nat,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,B),A)))).
% 15.63/15.49 ** KEPT (pick-wt=18): 143 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f957591787ol_nat(finite_card_int,A)),hAPP_f957591787ol_nat(finite_card_int,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,B),A)))).
% 15.63/15.49 ** KEPT (pick-wt=18): 144 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_fun_a_bool_nat(finite_card_a,A)),hAPP_fun_a_bool_nat(finite_card_a,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,B),A)))).
% 15.63/15.49 ** KEPT (pick-wt=21): 145 [] -hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A))| -hBOOL(hAPP_f215623910l_bool(hAPP_f628503027l_bool(member_fun_int_bool,B),A))|hAPP_f521865025ol_nat(finite1876863882t_bool,hAPP_f1948010709l_bool(hAPP_f587666462l_bool(insert_fun_int_bool,B),A))=hAPP_f521865025ol_nat(finite1876863882t_bool,A).
% 15.63/15.49 ** KEPT (pick-wt=23): 146 [] -hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A))|hBOOL(hAPP_f215623910l_bool(hAPP_f628503027l_bool(member_fun_int_bool,B),A))|hAPP_f521865025ol_nat(finite1876863882t_bool,hAPP_f1948010709l_bool(hAPP_f587666462l_bool(insert_fun_int_bool,B),A))=hAPP_nat_nat(suc,hAPP_f521865025ol_nat(finite1876863882t_bool,A)).
% 15.63/15.49 ** KEPT (pick-wt=21): 147 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A))| -hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,B),A))|hAPP_f696928925ol_nat(finite346522414t_bool,hAPP_f1246832597l_bool(hAPP_f633452666l_bool(insert_fun_nat_bool,B),A))=hAPP_f696928925ol_nat(finite346522414t_bool,A).
% 15.63/15.49 ** KEPT (pick-wt=23): 148 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A))|hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,B),A))|hAPP_f696928925ol_nat(finite346522414t_bool,hAPP_f1246832597l_bool(hAPP_f633452666l_bool(insert_fun_nat_bool,B),A))=hAPP_nat_nat(suc,hAPP_f696928925ol_nat(finite346522414t_bool,A)).
% 15.63/15.49 ** KEPT (pick-wt=21): 149 [] -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A))| -hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,B),A))|hAPP_f55526627ol_nat(finite1340463720e_bool,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,B),A))=hAPP_f55526627ol_nat(finite1340463720e_bool,A).
% 15.63/15.49 ** KEPT (pick-wt=23): 150 [] -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A))|hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,B),A))|hAPP_f55526627ol_nat(finite1340463720e_bool,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,B),A))=hAPP_nat_nat(suc,hAPP_f55526627ol_nat(finite1340463720e_bool,A)).
% 15.63/15.49 ** KEPT (pick-wt=21): 151 [] -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A))| -hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool,B),A))|hAPP_f2009550088ol_nat(finite1306199131a_bool,hAPP_f2117159681l_bool(hAPP_f1531278575l_bool(insert_fun_a_bool,B),A))=hAPP_f2009550088ol_nat(finite1306199131a_bool,A).
% 15.63/15.49 ** KEPT (pick-wt=23): 152 [] -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A))|hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool,B),A))|hAPP_f2009550088ol_nat(finite1306199131a_bool,hAPP_f2117159681l_bool(hAPP_f1531278575l_bool(insert_fun_a_bool,B),A))=hAPP_nat_nat(suc,hAPP_f2009550088ol_nat(finite1306199131a_bool,A)).
% 15.63/15.49 ** KEPT (pick-wt=21): 153 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))| -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,B),A))|hAPP_f921600141ol_nat(finite_card_pname,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,B),A))=hAPP_f921600141ol_nat(finite_card_pname,A).
% 15.63/15.49 ** KEPT (pick-wt=23): 154 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,B),A))|hAPP_f921600141ol_nat(finite_card_pname,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,B),A))=hAPP_nat_nat(suc,hAPP_f921600141ol_nat(finite_card_pname,A)).
% 15.63/15.49 ** KEPT (pick-wt=21): 155 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,B),A))|hAPP_f22106695ol_nat(finite_card_nat,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,B),A))=hAPP_f22106695ol_nat(finite_card_nat,A).
% 15.63/15.49 ** KEPT (pick-wt=23): 156 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,B),A))|hAPP_f22106695ol_nat(finite_card_nat,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,B),A))=hAPP_nat_nat(suc,hAPP_f22106695ol_nat(finite_card_nat,A)).
% 15.63/15.50 ** KEPT (pick-wt=21): 157 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,B),A))|hAPP_f957591787ol_nat(finite_card_int,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,B),A))=hAPP_f957591787ol_nat(finite_card_int,A).
% 15.63/15.50 ** KEPT (pick-wt=23): 158 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,B),A))|hAPP_f957591787ol_nat(finite_card_int,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,B),A))=hAPP_nat_nat(suc,hAPP_f957591787ol_nat(finite_card_int,A)).
% 15.63/15.50 ** KEPT (pick-wt=21): 159 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,B),A))|hAPP_fun_a_bool_nat(finite_card_a,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,B),A))=hAPP_fun_a_bool_nat(finite_card_a,A).
% 15.63/15.50 ** KEPT (pick-wt=23): 160 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,B),A))|hAPP_fun_a_bool_nat(finite_card_a,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,B),A))=hAPP_nat_nat(suc,hAPP_fun_a_bool_nat(finite_card_a,A)).
% 15.63/15.50 Following clause subsumed by 146 during input processing: 0 [] -hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A))|hBOOL(hAPP_f215623910l_bool(hAPP_f628503027l_bool(member_fun_int_bool,B),A))|hAPP_f521865025ol_nat(finite1876863882t_bool,hAPP_f1948010709l_bool(hAPP_f587666462l_bool(insert_fun_int_bool,B),A))=hAPP_nat_nat(suc,hAPP_f521865025ol_nat(finite1876863882t_bool,A)).
% 15.63/15.50 Following clause subsumed by 148 during input processing: 0 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A))|hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,B),A))|hAPP_f696928925ol_nat(finite346522414t_bool,hAPP_f1246832597l_bool(hAPP_f633452666l_bool(insert_fun_nat_bool,B),A))=hAPP_nat_nat(suc,hAPP_f696928925ol_nat(finite346522414t_bool,A)).
% 15.63/15.50 Following clause subsumed by 150 during input processing: 0 [] -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A))|hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,B),A))|hAPP_f55526627ol_nat(finite1340463720e_bool,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,B),A))=hAPP_nat_nat(suc,hAPP_f55526627ol_nat(finite1340463720e_bool,A)).
% 15.63/15.50 Following clause subsumed by 152 during input processing: 0 [] -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A))|hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool,B),A))|hAPP_f2009550088ol_nat(finite1306199131a_bool,hAPP_f2117159681l_bool(hAPP_f1531278575l_bool(insert_fun_a_bool,B),A))=hAPP_nat_nat(suc,hAPP_f2009550088ol_nat(finite1306199131a_bool,A)).
% 15.63/15.50 Following clause subsumed by 154 during input processing: 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,B),A))|hAPP_f921600141ol_nat(finite_card_pname,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,B),A))=hAPP_nat_nat(suc,hAPP_f921600141ol_nat(finite_card_pname,A)).
% 15.63/15.50 Following clause subsumed by 156 during input processing: 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,B),A))|hAPP_f22106695ol_nat(finite_card_nat,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,B),A))=hAPP_nat_nat(suc,hAPP_f22106695ol_nat(finite_card_nat,A)).
% 15.63/15.50 Following clause subsumed by 158 during input processing: 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,B),A))|hAPP_f957591787ol_nat(finite_card_int,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,B),A))=hAPP_nat_nat(suc,hAPP_f957591787ol_nat(finite_card_int,A)).
% 15.63/15.50 Following clause subsumed by 160 during input processing: 0 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,B),A))|hAPP_fun_a_bool_nat(finite_card_a,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,B),A))=hAPP_nat_nat(suc,hAPP_fun_a_bool_nat(finite_card_a,A)).
% 15.63/15.50 ** KEPT (pick-wt=14): 161 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(A)))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,A),B)))).
% 15.63/15.50 ** KEPT (pick-wt=14): 162 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(A)))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,B),A)))).
% 15.63/15.50 ** KEPT (pick-wt=14): 163 [] -hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,collect_fun_int_bool(A)))|hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,collect_fun_int_bool(cOMBS_1912792529l_bool(cOMBB_1974511970t_bool(fconj,A),B)))).
% 15.63/15.50 ** KEPT (pick-wt=14): 164 [] -hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,collect_fun_int_bool(A)))|hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,collect_fun_int_bool(cOMBS_1912792529l_bool(cOMBB_1974511970t_bool(fconj,B),A)))).
% 15.63/15.50 ** KEPT (pick-wt=14): 165 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(A)))|hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fconj,A),B)))).
% 15.63/15.50 ** KEPT (pick-wt=14): 166 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(A)))|hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fconj,B),A)))).
% 15.63/15.50 ** KEPT (pick-wt=14): 167 [] -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(A)))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,A),B)))).
% 15.63/15.50 ** KEPT (pick-wt=14): 168 [] -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(A)))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,B),A)))).
% 15.63/15.50 ** KEPT (pick-wt=14): 169 [] -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(A)))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fconj,A),B)))).
% 15.63/15.50 ** KEPT (pick-wt=14): 170 [] -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(A)))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fconj,B),A)))).
% 15.63/15.50 ** KEPT (pick-wt=14): 171 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(A)))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,A),B)))).
% 15.63/15.50 ** KEPT (pick-wt=14): 172 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(A)))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,B),A)))).
% 15.63/15.50 ** KEPT (pick-wt=14): 173 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(A)))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,A),B)))).
% 15.63/15.50 ** KEPT (pick-wt=14): 174 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(A)))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,B),A)))).
% 15.63/15.50 ** KEPT (pick-wt=14): 175 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,collect_int(A)))|hBOOL(hAPP_f448129468l_bool(finite_finite_int,collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fconj,A),B)))).
% 15.63/15.50 ** KEPT (pick-wt=14): 176 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,collect_int(A)))|hBOOL(hAPP_f448129468l_bool(finite_finite_int,collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fconj,B),A)))).
% 15.63/15.50 ** KEPT (pick-wt=21): 177 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(suc,B)),A)=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,B),A)).
% 15.63/15.50 ** KEPT (pick-wt=10): 178 [] hAPP_nat_nat(suc,A)!=hAPP_nat_nat(suc,B)|A=B.
% 15.63/15.50 Following clause subsumed by 178 during input processing: 0 [] hAPP_nat_nat(suc,A)!=hAPP_nat_nat(suc,B)|A=B.
% 15.63/15.50 ** KEPT (pick-wt=10): 179 [] hAPP_nat_nat(suc,A)=hAPP_nat_nat(suc,B)|A!=B.
% 15.63/15.50 ** KEPT (pick-wt=5): 180 [] hAPP_nat_nat(suc,A)!=A.
% 15.63/15.50 Following clause subsumed by 180 during input processing: 0 [flip.1] hAPP_nat_nat(suc,A)!=A.
% 15.63/15.50 ** KEPT (pick-wt=15): 181 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),A))|A=B.
% 15.63/15.50 ** KEPT (pick-wt=18): 182 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),C)).
% 15.63/15.50 ** KEPT (pick-wt=9): 183 [] A!=B|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B)).
% 15.63/15.50 ** KEPT (pick-wt=14): 184 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,A),B))))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(A))).
% 15.63/15.50 ** KEPT (pick-wt=14): 185 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,A),B))))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(B))).
% 15.63/15.50 ** KEPT (pick-wt=19): 186 [] hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,A),B))))| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(A)))| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(B))).
% 15.63/15.50 ** KEPT (pick-wt=14): 187 [] -hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,collect_fun_int_bool(cOMBS_1912792529l_bool(cOMBB_1974511970t_bool(fdisj,A),B))))|hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,collect_fun_int_bool(A))).
% 15.63/15.50 ** KEPT (pick-wt=14): 188 [] -hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,collect_fun_int_bool(cOMBS_1912792529l_bool(cOMBB_1974511970t_bool(fdisj,A),B))))|hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,collect_fun_int_bool(B))).
% 15.63/15.50 ** KEPT (pick-wt=19): 189 [] hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,collect_fun_int_bool(cOMBS_1912792529l_bool(cOMBB_1974511970t_bool(fdisj,A),B))))| -hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,collect_fun_int_bool(A)))| -hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,collect_fun_int_bool(B))).
% 15.63/15.50 ** KEPT (pick-wt=14): 190 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fdisj,A),B))))|hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(A))).
% 15.63/15.50 ** KEPT (pick-wt=14): 191 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fdisj,A),B))))|hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(B))).
% 15.63/15.50 ** KEPT (pick-wt=19): 192 [] hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fdisj,A),B))))| -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(A)))| -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(B))).
% 15.63/15.50 ** KEPT (pick-wt=14): 193 [] -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,A),B))))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(A))).
% 15.63/15.50 ** KEPT (pick-wt=14): 194 [] -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,A),B))))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(B))).
% 15.63/15.50 ** KEPT (pick-wt=19): 195 [] hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,A),B))))| -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(A)))| -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(B))).
% 15.63/15.50 ** KEPT (pick-wt=14): 196 [] -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj,A),B))))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(A))).
% 15.63/15.50 ** KEPT (pick-wt=14): 197 [] -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj,A),B))))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(B))).
% 15.63/15.50 ** KEPT (pick-wt=19): 198 [] hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj,A),B))))| -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(A)))| -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(B))).
% 15.63/15.50 ** KEPT (pick-wt=14): 199 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,A),B))))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(A))).
% 15.63/15.50 ** KEPT (pick-wt=14): 200 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,A),B))))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(B))).
% 15.63/15.50 ** KEPT (pick-wt=19): 201 [] hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,A),B))))| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(A)))| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(B))).
% 15.63/15.50 ** KEPT (pick-wt=14): 202 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,A),B))))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(A))).
% 15.63/15.50 ** KEPT (pick-wt=14): 203 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,A),B))))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(B))).
% 15.63/15.50 ** KEPT (pick-wt=19): 204 [] hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,A),B))))| -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(A)))| -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(B))).
% 15.63/15.50 ** KEPT (pick-wt=14): 205 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fdisj,A),B))))|hBOOL(hAPP_f448129468l_bool(finite_finite_int,collect_int(A))).
% 15.63/15.50 ** KEPT (pick-wt=14): 206 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fdisj,A),B))))|hBOOL(hAPP_f448129468l_bool(finite_finite_int,collect_int(B))).
% 15.63/15.50 ** KEPT (pick-wt=19): 207 [] hBOOL(hAPP_f448129468l_bool(finite_finite_int,collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fdisj,A),B))))| -hBOOL(hAPP_f448129468l_bool(finite_finite_int,collect_int(A)))| -hBOOL(hAPP_f448129468l_bool(finite_finite_int,collect_int(B))).
% 15.63/15.50 ** KEPT (pick-wt=12): 208 [] -hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,hAPP_f1948010709l_bool(hAPP_f587666462l_bool(insert_fun_int_bool,A),B)))|hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,B)).
% 15.63/15.50 Following clause subsumed by 90 during input processing: 0 [] hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,hAPP_f1948010709l_bool(hAPP_f587666462l_bool(insert_fun_int_bool,A),B)))| -hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,B)).
% 15.63/15.50 ** KEPT (pick-wt=12): 209 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,hAPP_f1246832597l_bool(hAPP_f633452666l_bool(insert_fun_nat_bool,A),B)))|hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B)).
% 15.63/15.50 Following clause subsumed by 91 during input processing: 0 [] hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,hAPP_f1246832597l_bool(hAPP_f633452666l_bool(insert_fun_nat_bool,A),B)))| -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B)).
% 15.63/15.50 ** KEPT (pick-wt=12): 210 [] -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,A),B)))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B)).
% 15.63/15.50 Following clause subsumed by 92 during input processing: 0 [] hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,A),B)))| -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B)).
% 15.63/15.50 ** KEPT (pick-wt=12): 211 [] -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,hAPP_f2117159681l_bool(hAPP_f1531278575l_bool(insert_fun_a_bool,A),B)))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B)).
% 15.63/15.50 Following clause subsumed by 93 during input processing: 0 [] hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,hAPP_f2117159681l_bool(hAPP_f1531278575l_bool(insert_fun_a_bool,A),B)))| -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B)).
% 15.63/15.50 ** KEPT (pick-wt=12): 212 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A),B)))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B)).
% 15.63/15.50 Following clause subsumed by 94 during input processing: 0 [] hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A),B)))| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B)).
% 15.63/15.50 ** KEPT (pick-wt=12): 213 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A),B)))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B)).
% 15.63/15.50 Following clause subsumed by 95 during input processing: 0 [] hBOOL(hAPP_f54304608l_bool(finite_finite_nat,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A),B)))| -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B)).
% 15.63/15.50 ** KEPT (pick-wt=12): 214 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A),B)))|hBOOL(hAPP_f448129468l_bool(finite_finite_int,B)).
% 15.63/15.50 Following clause subsumed by 96 during input processing: 0 [] hBOOL(hAPP_f448129468l_bool(finite_finite_int,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A),B)))| -hBOOL(hAPP_f448129468l_bool(finite_finite_int,B)).
% 15.63/15.50 ** KEPT (pick-wt=12): 215 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A),B)))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B)).
% 15.63/15.50 Following clause subsumed by 97 during input processing: 0 [] hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A),B)))| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B)).
% 15.63/15.50 ** KEPT (pick-wt=14): 216 [] -hBOOL(hAPP_f215623910l_bool(hAPP_f317860125l_bool(ord_le1848167016l_bool,A),B))| -hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,B))|hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A)).
% 15.63/15.50 ** KEPT (pick-wt=14): 217 [] -hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,A),B))| -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B))|hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A)).
% 15.63/15.50 ** KEPT (pick-wt=14): 218 [] -hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,A),B))| -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A)).
% 15.63/15.50 ** KEPT (pick-wt=14): 219 [] -hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,A),B))| -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A)).
% 15.63/15.50 ** KEPT (pick-wt=14): 220 [] -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B))| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A)).
% 15.63/15.50 ** KEPT (pick-wt=14): 221 [] -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B))| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A)).
% 15.63/15.50 ** KEPT (pick-wt=14): 222 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B))| -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A)).
% 15.63/15.50 ** KEPT (pick-wt=14): 223 [] -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B))| -hBOOL(hAPP_f448129468l_bool(finite_finite_int,B))|hBOOL(hAPP_f448129468l_bool(finite_finite_int,A)).
% 15.63/15.50 Following clause subsumed by 216 during input processing: 0 [] -hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A))| -hBOOL(hAPP_f215623910l_bool(hAPP_f317860125l_bool(ord_le1848167016l_bool,B),A))|hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,B)).
% 15.63/15.50 Following clause subsumed by 217 during input processing: 0 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A))| -hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,B),A))|hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B)).
% 15.63/15.50 Following clause subsumed by 218 during input processing: 0 [] -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A))| -hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,B),A))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B)).
% 15.63/15.50 Following clause subsumed by 219 during input processing: 0 [] -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A))| -hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,B),A))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B)).
% 15.63/15.50 Following clause subsumed by 220 during input processing: 0 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),A))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B)).
% 15.63/15.50 Following clause subsumed by 221 during input processing: 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),A))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B)).
% 15.63/15.50 Following clause subsumed by 222 during input processing: 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),A))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B)).
% 15.63/15.50 Following clause subsumed by 223 during input processing: 0 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),A))|hBOOL(hAPP_f448129468l_bool(finite_finite_int,B)).
% 15.63/15.50 ** KEPT (pick-wt=14): 224 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,A)),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B)).
% 15.63/15.50 ** KEPT (pick-wt=19): 225 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),hAPP_nat_nat(suc,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|A=hAPP_nat_nat(suc,B).
% 15.63/15.50 ** KEPT (pick-wt=14): 226 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),hAPP_nat_nat(suc,B))).
% 15.63/15.50 ** KEPT (pick-wt=16): 227 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,A)),hAPP_nat_nat(suc,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B)).
% 15.63/15.50 ** KEPT (pick-wt=16): 228 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,A)),hAPP_nat_nat(suc,B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B)).
% 15.63/15.50 Following clause subsumed by 225 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),hAPP_nat_nat(suc,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|A=hAPP_nat_nat(suc,B).
% 15.63/15.50 Following clause subsumed by 226 during input processing: 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),hAPP_nat_nat(suc,B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B)).
% 15.63/15.50 Following clause subsumed by 183 during input processing: 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),hAPP_nat_nat(suc,B)))|A!=hAPP_nat_nat(suc,B).
% 15.63/15.50 ** KEPT (pick-wt=14): 229 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,B)),A)).
% 15.63/15.50 ** KEPT (pick-wt=8): 230 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,A)),A)).
% 15.63/15.50 ** KEPT (pick-wt=32): 231 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),C))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,B),A)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,C),A)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),C)).
% 15.63/15.50 ** KEPT (pick-wt=32): 232 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,B),A)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,C),A)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),C)).
% 15.63/15.50 ** KEPT (pick-wt=31): 233 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),C))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,B),A)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,C),A))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,B),C).
% 15.63/15.50 ** KEPT (pick-wt=26): 234 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),C))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,B),A)!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,C),A)|B=C.
% 15.63/15.50 ** KEPT (pick-wt=26): 235 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),C))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,B),A)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,C),A)|B!=C.
% 15.63/15.50 ** KEPT (pick-wt=17): 236 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,B),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,B),A))=A.
% 15.63/15.50 ** KEPT (pick-wt=20): 237 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,A),C)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,B),C))).
% 15.63/15.50 ** KEPT (pick-wt=20): 238 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,C),B)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,C),A))).
% 15.63/15.50 ** KEPT (pick-wt=16): 239 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_a_a(C,A)))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B)).
% 15.63/15.50 ** KEPT (pick-wt=16): 240 [] -hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_fun_int_bool_a(C,A)))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B)).
% 15.63/15.50 ** KEPT (pick-wt=16): 241 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_fun_nat_bool_a(C,A)))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B)).
% 15.63/15.50 ** KEPT (pick-wt=16): 242 [] -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_876012084bool_a(C,A)))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B)).
% 15.63/15.50 ** KEPT (pick-wt=16): 243 [] -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_fun_a_bool_a(C,A)))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B)).
% 15.63/15.50 ** KEPT (pick-wt=16): 244 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))| -hBOOL(hAPP_f215623910l_bool(hAPP_f317860125l_bool(ord_le1848167016l_bool,B),image_1512837979t_bool(C,A)))|hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,B)).
% 15.63/15.50 ** KEPT (pick-wt=16): 245 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))| -hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,B),image_2129980159t_bool(C,A)))|hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B)).
% 15.63/15.50 ** KEPT (pick-wt=16): 246 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))| -hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,B),image_47868345e_bool(C,A)))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B)).
% 15.63/15.50 ** KEPT (pick-wt=16): 247 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))| -hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,B),image_112932426a_bool(C,A)))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B)).
% 15.63/15.50 ** KEPT (pick-wt=16): 248 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_pname_pname(C,A)))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B)).
% 15.63/15.50 ** KEPT (pick-wt=16): 249 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_nat_a(C,A)))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B)).
% 15.63/15.50 ** KEPT (pick-wt=16): 250 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))| -hBOOL(hAPP_f215623910l_bool(hAPP_f317860125l_bool(ord_le1848167016l_bool,B),image_1556378401t_bool(C,A)))|hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,B)).
% 15.63/15.50 ** KEPT (pick-wt=16): 251 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))| -hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,B),image_26036933t_bool(C,A)))|hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B)).
% 15.63/15.50 ** KEPT (pick-wt=16): 252 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))| -hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,B),image_1655916159e_bool(C,A)))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B)).
% 15.63/15.50 ** KEPT (pick-wt=16): 253 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))| -hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,B),image_nat_fun_a_bool(C,A)))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B)).
% 15.63/15.50 ** KEPT (pick-wt=16): 254 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_nat_pname(C,A)))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B)).
% 15.63/15.50 ** KEPT (pick-wt=16): 255 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_int_a(C,A)))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B)).
% 15.63/15.50 ** KEPT (pick-wt=16): 256 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))| -hBOOL(hAPP_f215623910l_bool(hAPP_f317860125l_bool(ord_le1848167016l_bool,B),image_275383677t_bool(C,A)))|hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,B)).
% 15.63/15.50 ** KEPT (pick-wt=16): 257 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))| -hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,B),image_892525857t_bool(C,A)))|hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B)).
% 15.63/15.50 ** KEPT (pick-wt=16): 258 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))| -hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,B),image_637364955e_bool(C,A)))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B)).
% 15.63/15.50 ** KEPT (pick-wt=16): 259 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))| -hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,B),image_int_fun_a_bool(C,A)))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B)).
% 15.63/15.50 ** KEPT (pick-wt=16): 260 [] -hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_int_pname(C,A)))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B)).
% 15.63/15.50 ** KEPT (pick-wt=16): 261 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_a_pname(C,A)))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B)).
% 15.63/15.50 ** KEPT (pick-wt=16): 262 [] -hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_62782965_pname(C,A)))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B)).
% 15.63/15.50 ** KEPT (pick-wt=16): 263 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_1921560913_pname(C,A)))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B)).
% 15.63/15.50 ** KEPT (pick-wt=16): 264 [] -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_1283814551_pname(C,A)))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B)).
% 15.63/15.50 ** KEPT (pick-wt=16): 265 [] -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),image_1854862208_pname(C,A)))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B)).
% 15.63/15.50 ** KEPT (pick-wt=16): 266 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),image_a_nat(C,A)))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B)).
% 15.63/15.50 ** KEPT (pick-wt=16): 267 [] -hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),image_1431733819ol_nat(C,A)))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B)).
% 15.63/15.50 ** KEPT (pick-wt=16): 268 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),image_496248727ol_nat(C,A)))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B)).
% 15.63/15.50 ** KEPT (pick-wt=16): 269 [] -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),image_1551609309ol_nat(C,A)))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B)).
% 15.63/15.50 ** KEPT (pick-wt=16): 270 [] -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),image_fun_a_bool_nat(C,A)))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B)).
% 15.63/15.50 ** KEPT (pick-wt=16): 271 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),image_a_int(C,A)))|hBOOL(hAPP_f448129468l_bool(finite_finite_int,B)).
% 15.63/15.50 ** KEPT (pick-wt=16): 272 [] -hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),image_2069007511ol_int(C,A)))|hBOOL(hAPP_f448129468l_bool(finite_finite_int,B)).
% 15.63/15.50 ** KEPT (pick-wt=16): 273 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),image_1133522419ol_int(C,A)))|hBOOL(hAPP_f448129468l_bool(finite_finite_int,B)).
% 15.63/15.50 ** KEPT (pick-wt=16): 274 [] -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),image_41399353ol_int(C,A)))|hBOOL(hAPP_f448129468l_bool(finite_finite_int,B)).
% 15.63/15.50 ** KEPT (pick-wt=16): 275 [] -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),image_fun_a_bool_int(C,A)))|hBOOL(hAPP_f448129468l_bool(finite_finite_int,B)).
% 15.63/15.50 ** KEPT (pick-wt=16): 276 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),image_pname_a(C,A)))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B)).
% 15.63/15.50 ** KEPT (pick-wt=16): 277 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),image_nat_int(C,A)))|hBOOL(hAPP_f448129468l_bool(finite_finite_int,B)).
% 15.63/15.50 ** KEPT (pick-wt=23): 278 [] -is_fun_a_bool(A)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),image_fun_int_bool_a(B,C)))|hBOOL(hAPP_f215623910l_bool(hAPP_f317860125l_bool(ord_le1848167016l_bool,$f1(B,C,A)),C)).
% 15.63/15.50 ** KEPT (pick-wt=21): 279 [] -is_fun_a_bool(A)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),image_fun_int_bool_a(B,C)))|hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,$f1(B,C,A))).
% 15.63/15.50 ** KEPT (pick-wt=22): 281 [copy,280,flip.4] -is_fun_a_bool(A)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),image_fun_int_bool_a(B,C)))|image_fun_int_bool_a(B,$f1(B,C,A))=A.
% 15.63/15.50 ** KEPT (pick-wt=23): 282 [] -is_fun_a_bool(A)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),image_fun_nat_bool_a(B,C)))|hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,$f2(B,C,A)),C)).
% 15.63/15.50 ** KEPT (pick-wt=21): 283 [] -is_fun_a_bool(A)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),image_fun_nat_bool_a(B,C)))|hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,$f2(B,C,A))).
% 15.63/15.50 ** KEPT (pick-wt=22): 285 [copy,284,flip.4] -is_fun_a_bool(A)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),image_fun_nat_bool_a(B,C)))|image_fun_nat_bool_a(B,$f2(B,C,A))=A.
% 15.63/15.50 ** KEPT (pick-wt=19): 286 [] -is_fun_a_bool(A)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),image_876012084bool_a(B,C)))|is_fun1661590463l_bool($f3(B,C,A)).
% 15.63/15.50 ** KEPT (pick-wt=23): 287 [] -is_fun_a_bool(A)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),image_876012084bool_a(B,C)))|hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,$f3(B,C,A)),C)).
% 15.63/15.50 ** KEPT (pick-wt=21): 288 [] -is_fun_a_bool(A)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),image_876012084bool_a(B,C)))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,$f3(B,C,A))).
% 15.63/15.50 ** KEPT (pick-wt=22): 290 [copy,289,flip.4] -is_fun_a_bool(A)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),image_876012084bool_a(B,C)))|image_876012084bool_a(B,$f3(B,C,A))=A.
% 15.63/15.50 ** KEPT (pick-wt=19): 291 [] -is_fun_a_bool(A)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),image_fun_a_bool_a(B,C)))|is_fun949378684l_bool($f4(B,C,A)).
% 15.63/15.50 ** KEPT (pick-wt=23): 292 [] -is_fun_a_bool(A)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),image_fun_a_bool_a(B,C)))|hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,$f4(B,C,A)),C)).
% 15.63/15.50 ** KEPT (pick-wt=21): 293 [] -is_fun_a_bool(A)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),image_fun_a_bool_a(B,C)))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,$f4(B,C,A))).
% 15.63/15.50 ** KEPT (pick-wt=22): 295 [copy,294,flip.4] -is_fun_a_bool(A)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),image_fun_a_bool_a(B,C)))|image_fun_a_bool_a(B,$f4(B,C,A))=A.
% 15.63/15.50 ** KEPT (pick-wt=19): 296 [] -is_fun_a_bool(A)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),image_a_a(B,C)))|is_fun_a_bool($f5(B,C,A)).
% 15.63/15.50 ** KEPT (pick-wt=23): 297 [] -is_fun_a_bool(A)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),image_a_a(B,C)))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,$f5(B,C,A)),C)).
% 15.63/15.50 ** KEPT (pick-wt=21): 298 [] -is_fun_a_bool(A)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),image_a_a(B,C)))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,$f5(B,C,A))).
% 15.63/15.50 ** KEPT (pick-wt=22): 300 [copy,299,flip.4] -is_fun_a_bool(A)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),image_a_a(B,C)))|image_a_a(B,$f5(B,C,A))=A.
% 15.63/15.50 ** KEPT (pick-wt=17): 301 [] -hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A))| -hBOOL(hAPP_f215623910l_bool(hAPP_f317860125l_bool(ord_le1848167016l_bool,A),image_a_fun_int_bool(B,C)))|is_fun_a_bool($f6(B,C,A)).
% 15.63/15.50 ** KEPT (pick-wt=21): 302 [] -hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A))| -hBOOL(hAPP_f215623910l_bool(hAPP_f317860125l_bool(ord_le1848167016l_bool,A),image_a_fun_int_bool(B,C)))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,$f6(B,C,A)),C)).
% 15.63/15.50 ** KEPT (pick-wt=19): 303 [] -hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A))| -hBOOL(hAPP_f215623910l_bool(hAPP_f317860125l_bool(ord_le1848167016l_bool,A),image_a_fun_int_bool(B,C)))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,$f6(B,C,A))).
% 15.63/15.50 ** KEPT (pick-wt=20): 305 [copy,304,flip.3] -hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A))| -hBOOL(hAPP_f215623910l_bool(hAPP_f317860125l_bool(ord_le1848167016l_bool,A),image_a_fun_int_bool(B,C)))|image_a_fun_int_bool(B,$f6(B,C,A))=A.
% 15.63/15.50 ** KEPT (pick-wt=17): 306 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A))| -hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,A),image_a_fun_nat_bool(B,C)))|is_fun_a_bool($f7(B,C,A)).
% 15.63/15.50 ** KEPT (pick-wt=21): 307 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A))| -hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,A),image_a_fun_nat_bool(B,C)))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,$f7(B,C,A)),C)).
% 15.63/15.50 ** KEPT (pick-wt=19): 308 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A))| -hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,A),image_a_fun_nat_bool(B,C)))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,$f7(B,C,A))).
% 15.63/15.50 ** KEPT (pick-wt=20): 310 [copy,309,flip.3] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A))| -hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,A),image_a_fun_nat_bool(B,C)))|image_a_fun_nat_bool(B,$f7(B,C,A))=A.
% 15.63/15.50 ** KEPT (pick-wt=19): 311 [] -is_fun1661590463l_bool(A)| -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A))| -hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,A),image_819518260e_bool(B,C)))|is_fun_a_bool($f8(B,C,A)).
% 15.63/15.50 ** KEPT (pick-wt=23): 312 [] -is_fun1661590463l_bool(A)| -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A))| -hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,A),image_819518260e_bool(B,C)))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,$f8(B,C,A)),C)).
% 15.63/15.50 ** KEPT (pick-wt=21): 313 [] -is_fun1661590463l_bool(A)| -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A))| -hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,A),image_819518260e_bool(B,C)))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,$f8(B,C,A))).
% 15.63/15.50 ** KEPT (pick-wt=22): 315 [copy,314,flip.4] -is_fun1661590463l_bool(A)| -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A))| -hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,A),image_819518260e_bool(B,C)))|image_819518260e_bool(B,$f8(B,C,A))=A.
% 15.63/15.50 ** KEPT (pick-wt=19): 316 [] -is_fun949378684l_bool(A)| -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A))| -hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,A),image_a_fun_a_bool(B,C)))|is_fun_a_bool($f9(B,C,A)).
% 15.63/15.50 ** KEPT (pick-wt=23): 317 [] -is_fun949378684l_bool(A)| -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A))| -hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,A),image_a_fun_a_bool(B,C)))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,$f9(B,C,A)),C)).
% 15.63/15.50 ** KEPT (pick-wt=21): 318 [] -is_fun949378684l_bool(A)| -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A))| -hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,A),image_a_fun_a_bool(B,C)))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,$f9(B,C,A))).
% 15.63/15.50 ** KEPT (pick-wt=22): 320 [copy,319,flip.4] -is_fun949378684l_bool(A)| -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A))| -hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,A),image_a_fun_a_bool(B,C)))|image_a_fun_a_bool(B,$f9(B,C,A))=A.
% 15.63/15.50 ** KEPT (pick-wt=19): 321 [] -is_fun_pname_bool(A)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))|
% 15.63/15.50 Search stopped in tp_alloc by max_mem option.
% 15.63/15.50 -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),image_a_pname(B,C)))|is_fun_a_bool($f10(B,C,A)).
% 15.63/15.50 ** KEPT (pick-wt=23): 322 [] -is_fun_pname_bool(A)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),image_a_pname(B,C)))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,$f10(B,C,A)),C)).
% 15.63/15.50 ** KEPT (pick-wt=21): 323 [] -is_fun_pname_bool(A)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),image_a_pname(B,C)))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,$f10(B,C,A))).
% 15.63/15.50 ** KEPT (pick-wt=22): 325 [copy,324,flip.4] -is_fun_pname_bool(A)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),image_a_pname(B,C)))|image_a_pname(B,$f10(B,C,A))=A.
% 15.63/15.50 ** KEPT (pick-wt=23): 326 [] -is_fun_pname_bool(A)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),image_62782965_pname(B,C)))|hBOOL(hAPP_f215623910l_bool(hAPP_f317860125l_bool(ord_le1848167016l_bool,$f11(B,C,A)),C)).
% 15.63/15.50 ** KEPT (pick-wt=21): 327 [] -is_fun_pname_bool(A)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),image_62782965_pname(B,C)))|hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,$f11(B,C,A))).
% 15.63/15.50 ** KEPT (pick-wt=22): 329 [copy,328,flip.4] -is_fun_pname_bool(A)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),image_62782965_pname(B,C)))|image_62782965_pname(B,$f11(B,C,A))=A.
% 15.63/15.50 ** KEPT (pick-wt=23): 330 [] -is_fun_pname_bool(A)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),image_1921560913_pname(B,C)))|hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,$f12(B,C,A)),C)).
% 15.63/15.50 ** KEPT (pick-wt=21): 331 [] -is_fun_pname_bool(A)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),image_1921560913_pname(B,C)))|hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,$f12(B,C,A))).
% 15.63/15.50
% 15.63/15.50 Search stopped in tp_alloc by max_mem option.
% 15.63/15.50
% 15.63/15.50 ============ end of search ============
% 15.63/15.50
% 15.63/15.50 -------------- statistics -------------
% 15.63/15.50 clauses given 0
% 15.63/15.50 clauses generated 0
% 15.63/15.50 clauses kept 320
% 15.63/15.50 clauses forward subsumed 29
% 15.63/15.50 clauses back subsumed 0
% 15.63/15.50 Kbytes malloced 11718
% 15.63/15.50
% 15.63/15.50 ----------- times (seconds) -----------
% 15.63/15.50 user CPU time 0.28 (0 hr, 0 min, 0 sec)
% 15.63/15.50 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 15.63/15.50 wall-clock time 15 (0 hr, 0 min, 15 sec)
% 15.63/15.50
% 15.63/15.50 Process 12688 finished Wed Jul 27 03:04:54 2022
% 15.63/15.50 Otter interrupted
% 15.63/15.50 PROOF NOT FOUND
%------------------------------------------------------------------------------