TSTP Solution File: SWW473+2 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SWW473+2 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n015.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 13:22:39 EDT 2022
% Result : Unknown 8.10s 8.11s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW473+2 : TPTP v8.1.0. Released v5.3.0.
% 0.07/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n015.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 03:15:11 EDT 2022
% 0.12/0.33 % CPUTime :
% 8.10/8.07 ----- Otter 3.3f, August 2004 -----
% 8.10/8.07 The process was started by sandbox on n015.cluster.edu,
% 8.10/8.07 Wed Jul 27 03:15:11 2022
% 8.10/8.07 The command was "./otter". The process ID is 3998.
% 8.10/8.07
% 8.10/8.07 set(prolog_style_variables).
% 8.10/8.07 set(auto).
% 8.10/8.07 dependent: set(auto1).
% 8.10/8.07 dependent: set(process_input).
% 8.10/8.07 dependent: clear(print_kept).
% 8.10/8.07 dependent: clear(print_new_demod).
% 8.10/8.07 dependent: clear(print_back_demod).
% 8.10/8.07 dependent: clear(print_back_sub).
% 8.10/8.07 dependent: set(control_memory).
% 8.10/8.07 dependent: assign(max_mem, 12000).
% 8.10/8.07 dependent: assign(pick_given_ratio, 4).
% 8.10/8.07 dependent: assign(stats_level, 1).
% 8.10/8.07 dependent: assign(max_seconds, 10800).
% 8.10/8.07 clear(print_given).
% 8.10/8.07
% 8.10/8.07 formula_list(usable).
% 8.10/8.07 all A (A=A).
% 8.10/8.07 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))).
% 8.10/8.07 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))).
% 8.10/8.07 all B_1_1 B_2_1 (is_fun949378684l_bool(B_2_1)->is_fun949378684l_bool(cOMBB_2140588453a_bool(B_1_1,B_2_1))).
% 8.10/8.07 all B_1_1 B_2_1 (is_fun1661590463l_bool(B_2_1)->is_fun1661590463l_bool(cOMBB_307249310e_bool(B_1_1,B_2_1))).
% 8.10/8.07 all B_1_1 (is_bool(B_1_1)->is_fun_a_bool(cOMBK_bool_a(B_1_1))).
% 8.10/8.07 all B_1_1 (is_bool(B_1_1)->is_fun_pname_bool(cOMBK_bool_pname(B_1_1))).
% 8.10/8.07 all B_1_1 (is_bool(B_1_1)->is_fun949378684l_bool(cOMBK_324466864a_bool(B_1_1))).
% 8.10/8.07 all B_1_1 (is_bool(B_1_1)->is_fun1661590463l_bool(cOMBK_1857069011e_bool(B_1_1))).
% 8.10/8.07 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))).
% 8.10/8.07 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))).
% 8.10/8.07 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))).
% 8.10/8.07 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))).
% 8.10/8.07 is_fun949378684l_bool(finite_finite_a).
% 8.10/8.07 is_fun1661590463l_bool(finite_finite_pname).
% 8.10/8.07 is_a(undefined_a(x_a)).
% 8.10/8.07 is_pname(undefined_pname(pname)).
% 8.10/8.07 is_fun_a_bool(undefined_fun_a_bool(fun(x_a,bool))).
% 8.10/8.07 is_fun_pname_bool(undefi17486888e_bool(fun(pname,bool))).
% 8.10/8.07 is_fun949378684l_bool(undefi1699038445l_bool(fun(fun(x_a,bool),bool))).
% 8.10/8.07 is_fun1661590463l_bool(undefi64961550l_bool(fun(fun(pname,bool),bool))).
% 8.10/8.07 is_bool(bot_bot_bool).
% 8.10/8.07 is_fun_a_bool(bot_bot_fun_a_bool).
% 8.10/8.07 is_fun_pname_bool(bot_bo844097828e_bool).
% 8.10/8.07 is_fun949378684l_bool(bot_bo1389914601l_bool).
% 8.10/8.07 is_fun1661590463l_bool(bot_bo1649642514l_bool).
% 8.10/8.07 all B_1_1 (is_fun_a_bool(B_1_1)->is_fun_a_bool(collect_a(B_1_1))).
% 8.10/8.07 all B_1_1 (is_fun_pname_bool(B_1_1)->is_fun_pname_bool(collect_pname(B_1_1))).
% 8.10/8.07 all B_1_1 (is_fun949378684l_bool(B_1_1)->is_fun949378684l_bool(collect_fun_a_bool(B_1_1))).
% 8.10/8.07 all B_1_1 (is_fun1661590463l_bool(B_1_1)->is_fun1661590463l_bool(collec1974731493e_bool(B_1_1))).
% 8.10/8.07 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))).
% 8.10/8.07 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))).
% 8.10/8.07 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))).
% 8.10/8.07 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))).
% 8.10/8.07 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))).
% 8.10/8.07 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))).
% 8.10/8.07 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))).
% 8.10/8.07 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))).
% 8.10/8.07 all B_1_1 B_2_1 is_fun_a_bool(image_nat_a(B_1_1,B_2_1)).
% 8.10/8.07 all B_1_1 B_2_1 is_fun_pname_bool(image_nat_pname(B_1_1,B_2_1)).
% 8.10/8.07 all B_1_1 B_2_1 is_fun949378684l_bool(image_nat_fun_a_bool(B_1_1,B_2_1)).
% 8.10/8.07 all B_1_1 B_2_1 is_fun1661590463l_bool(image_1655916159e_bool(B_1_1,B_2_1)).
% 8.10/8.07 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))).
% 8.10/8.07 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))).
% 8.10/8.07 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))).
% 8.10/8.07 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))).
% 8.10/8.07 all B_1_1 B_2_1 is_fun_a_bool(image_fun_nat_bool_a(B_1_1,B_2_1)).
% 8.10/8.07 all B_1_1 B_2_1 is_fun_pname_bool(image_1921560913_pname(B_1_1,B_2_1)).
% 8.10/8.07 all B_1_1 B_2_1 (is_a(B_1_1)&is_fun_a_bool(B_2_1)->is_fun_a_bool(insert_a(B_1_1,B_2_1))).
% 8.10/8.07 all B_1_1 B_2_1 (is_pname(B_1_1)&is_fun_pname_bool(B_2_1)->is_fun_pname_bool(insert_pname(B_1_1,B_2_1))).
% 8.10/8.07 all B_1_1 B_2_1 (is_fun_a_bool(B_1_1)&is_fun949378684l_bool(B_2_1)->is_fun949378684l_bool(insert_fun_a_bool(B_1_1,B_2_1))).
% 8.10/8.07 all B_1_1 B_2_1 (is_fun_pname_bool(B_1_1)&is_fun1661590463l_bool(B_2_1)->is_fun1661590463l_bool(insert1325755072e_bool(B_1_1,B_2_1))).
% 8.10/8.07 is_bool(fFalse).
% 8.10/8.07 is_bool(fTrue).
% 8.10/8.07 all B_1_1 B_2_1 (is_a(B_2_1)->is_a(hAPP_a_a(B_1_1,B_2_1))).
% 8.10/8.07 all B_1_1 B_2_1 (is_a(B_2_1)->is_pname(hAPP_a_pname(B_1_1,B_2_1))).
% 8.10/8.07 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))).
% 8.10/8.07 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))).
% 8.10/8.07 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))).
% 8.10/8.07 all B_1_1 B_2_1 (is_a(B_2_1)->is_fun949378684l_bool(hAPP_a85458249l_bool(B_1_1,B_2_1))).
% 8.10/8.07 all B_1_1 B_2_1 (is_a(B_2_1)->is_fun1661590463l_bool(hAPP_a217006258l_bool(B_1_1,B_2_1))).
% 8.10/8.07 all B_1_1 B_2_1 (is_pname(B_2_1)->is_a(hAPP_pname_a(B_1_1,B_2_1))).
% 8.10/8.07 all B_1_1 B_2_1 (is_pname(B_2_1)->is_pname(hAPP_pname_pname(B_1_1,B_2_1))).
% 8.10/8.07 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))).
% 8.10/8.07 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))).
% 8.10/8.07 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))).
% 8.10/8.07 all B_1_1 B_2_1 (is_pname(B_2_1)->is_fun949378684l_bool(hAPP_p1824510254l_bool(B_1_1,B_2_1))).
% 8.10/8.07 all B_1_1 B_2_1 (is_pname(B_2_1)->is_fun1661590463l_bool(hAPP_p338031245l_bool(B_1_1,B_2_1))).
% 8.10/8.07 all B_1_1 B_2_1 (is_bool(B_2_1)->is_bool(hAPP_bool_bool(B_1_1,B_2_1))).
% 8.10/8.07 all B_1_1 B_2_1 is_a(hAPP_nat_a(B_1_1,B_2_1)).
% 8.10/8.07 all B_1_1 B_2_1 is_pname(hAPP_nat_pname(B_1_1,B_2_1)).
% 8.10/8.07 all B_1_1 B_2_1 is_bool(hAPP_nat_bool(B_1_1,B_2_1)).
% 8.10/8.07 all B_1_1 B_2_1 is_fun_a_bool(hAPP_nat_fun_a_bool(B_1_1,B_2_1)).
% 8.10/8.07 all B_1_1 B_2_1 is_fun_pname_bool(hAPP_n1025906991e_bool(B_1_1,B_2_1)).
% 8.10/8.07 all B_1_1 B_2_1 is_fun949378684l_bool(hAPP_n1414589940l_bool(B_1_1,B_2_1)).
% 8.10/8.07 all B_1_1 B_2_1 is_fun1661590463l_bool(hAPP_n850744903l_bool(B_1_1,B_2_1)).
% 8.10/8.07 all B_1_1 B_2_1 (is_fun_a_bool(B_2_1)->is_pname(hAPP_f1128469712_pname(B_1_1,B_2_1))).
% 8.10/8.07 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))).
% 8.10/8.07 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))).
% 8.10/8.07 all B_1_1 B_2_1 (is_fun_a_bool(B_2_1)->is_fun_pname_bool(hAPP_f1794073134e_bool(B_1_1,B_2_1))).
% 8.10/8.07 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))).
% 8.10/8.07 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))).
% 8.10/8.07 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))).
% 8.10/8.07 all B_1_1 B_2_1 (is_fun_pname_bool(B_2_1)->is_fun_a_bool(hAPP_f1051908748a_bool(B_1_1,B_2_1))).
% 8.10/8.07 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))).
% 8.10/8.07 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))).
% 8.10/8.07 all B_1_1 B_2_1 is_pname(hAPP_f1291551745_pname(B_1_1,B_2_1)).
% 8.10/8.07 all B_1_1 B_2_1 is_bool(hAPP_f54304608l_bool(B_1_1,B_2_1)).
% 8.10/8.07 all B_1_1 B_2_1 is_fun_a_bool(hAPP_f1549043526a_bool(B_1_1,B_2_1)).
% 8.10/8.07 all B_1_1 B_2_1 is_fun_pname_bool(hAPP_f654413245e_bool(B_1_1,B_2_1)).
% 8.10/8.07 all B_1_1 B_2_1 (is_fun949378684l_bool(B_2_1)->is_bool(hAPP_f621171935l_bool(B_1_1,B_2_1))).
% 8.10/8.07 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))).
% 8.10/8.07 all B_1_1 B_2_1 (is_fun1661590463l_bool(B_2_1)->is_bool(hAPP_f1935102916l_bool(B_1_1,B_2_1))).
% 8.10/8.07 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))).
% 8.10/8.07 all B_1_1 B_2_1 is_bool(hAPP_f1637334154l_bool(B_1_1,B_2_1)).
% 8.10/8.07 all B_1_1 B_2_1 is_bool(hAPP_f292226953l_bool(B_1_1,B_2_1)).
% 8.10/8.07 all B_1_1 B_2_1 is_bool(hAPP_f389811538l_bool(B_1_1,B_2_1)).
% 8.10/8.07 all B_1_1 B_2_1 is_bool(hAPP_f937997336l_bool(B_1_1,B_2_1)).
% 8.10/8.07 is_fun_a_bool(g).
% 8.10/8.07 all B_1_1 (is_fun_a_bool(B_1_1)->is_fun949378684l_bool(p(B_1_1))).
% 8.10/8.07 is_fun_pname_bool(u).
% 8.10/8.07 all B_1_1 is_a(mgt(B_1_1)).
% 8.10/8.07 is_pname(pn).
% 8.10/8.07 all B_1_1 is_bool(wt(B_1_1)).
% 8.10/8.07 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))).
% 8.10/8.07 all A_1 (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A_1))->hBOOL(hAPP_f937997336l_bool(finite1701474069l_bool,collec1015864663l_bool(hAPP_f1772781669l_bool(cOMBC_595898202l_bool(ord_le1454342156l_bool),A_1))))).
% 8.10/8.07 all A_1 (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A_1))->hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,collec1613912337l_bool(hAPP_f510955609l_bool(cOMBC_7971162l_bool(ord_le675606854l_bool),A_1))))).
% 8.10/8.07 all A_1 (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A_1))->hBOOL(hAPP_f292226953l_bool(finite1381704300l_bool,collec707592106l_bool(hAPP_f1434722111l_bool(cOMBC_331553030l_bool(ord_le1375614389l_bool),A_1))))).
% 8.10/8.07 all A_1 (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_1))->hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(ord_le1311769555a_bool),A_1))))).
% 8.10/8.07 all A_1 (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))->hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(hAPP_f434788991l_bool(cOMBC_1284144636l_bool(ord_le313189616e_bool),A_1))))).
% 8.10/8.07 all A_1 (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_1))->hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(hAPP_f103356543l_bool(cOMBC_1693257480l_bool(ord_le1568362934t_bool),A_1))))).
% 8.10/8.07 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)))).
% 8.10/8.07 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)))).
% 8.10/8.07 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)))).
% 8.10/8.07 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)))).
% 8.10/8.07 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)))).
% 8.10/8.07 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)))).
% 8.10/8.07 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)))).
% 8.10/8.07 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)))).
% 8.10/8.07 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)))).
% 8.10/8.07 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)))).
% 8.10/8.07 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)))).
% 8.10/8.07 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)))).
% 8.10/8.07 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)))).
% 8.10/8.07 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)))).
% 8.10/8.07 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)))).
% 8.10/8.07 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)))).
% 8.10/8.07 all A_3 A_1 (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A_1))->hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,insert_fun_nat_bool(A_3,A_1)))).
% 8.10/8.07 all A_3 A_1 (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A_1))->hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,insert1325755072e_bool(A_3,A_1)))).
% 8.10/8.07 all A_3 A_1 (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A_1))->hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,insert_fun_a_bool(A_3,A_1)))).
% 8.10/8.07 all A_3 A_1 (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))->hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,insert_pname(A_3,A_1)))).
% 8.10/8.07 all A_3 A_1 (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_1))->hBOOL(hAPP_f54304608l_bool(finite_finite_nat,insert_nat(A_3,A_1)))).
% 8.10/8.07 all A_3 A_1 (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_1))->hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,insert_a(A_3,A_1)))).
% 8.10/8.07 all F A_1 (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f921600141ol_nat(finite_card_pname,image_pname_pname(F,A_1))),hAPP_f921600141ol_nat(finite_card_pname,A_1)))).
% 8.10/8.07 all F A_1 (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_1))->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_1))),hAPP_fun_a_bool_nat(finite_card_a,A_1)))).
% 8.10/8.07 all F A_1 (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A_1))->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_1))),hAPP_f696928925ol_nat(finite346522414t_bool,A_1)))).
% 8.10/8.07 all F A_1 (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A_1))->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_1))),hAPP_f55526627ol_nat(finite1340463720e_bool,A_1)))).
% 8.10/8.07 all F A_1 (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A_1))->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_1))),hAPP_f2009550088ol_nat(finite1306199131a_bool,A_1)))).
% 8.10/8.07 all F A_1 (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f22106695ol_nat(finite_card_nat,image_pname_nat(F,A_1))),hAPP_f921600141ol_nat(finite_card_pname,A_1)))).
% 8.10/8.07 all F A_1 (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f22106695ol_nat(finite_card_nat,image_a_nat(F,A_1))),hAPP_fun_a_bool_nat(finite_card_a,A_1)))).
% 8.10/8.07 all F A_1 (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f22106695ol_nat(finite_card_nat,image_496248727ol_nat(F,A_1))),hAPP_f696928925ol_nat(finite346522414t_bool,A_1)))).
% 8.10/8.07 all F A_1 (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f22106695ol_nat(finite_card_nat,image_1551609309ol_nat(F,A_1))),hAPP_f55526627ol_nat(finite1340463720e_bool,A_1)))).
% 8.10/8.07 all F A_1 (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A_1))->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_1))),hAPP_f2009550088ol_nat(finite1306199131a_bool,A_1)))).
% 8.10/8.07 all F A_1 (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f921600141ol_nat(finite_card_pname,image_a_pname(F,A_1))),hAPP_fun_a_bool_nat(finite_card_a,A_1)))).
% 8.10/8.07 all F A_1 (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f921600141ol_nat(finite_card_pname,image_nat_pname(F,A_1))),hAPP_f22106695ol_nat(finite_card_nat,A_1)))).
% 8.10/8.07 all F A_1 (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))->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_1))),hAPP_f921600141ol_nat(finite_card_pname,A_1)))).
% 8.10/8.07 all A_1 B_6 (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B_6))-> (hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,A_1),B_6))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f696928925ol_nat(finite346522414t_bool,A_1)),hAPP_f696928925ol_nat(finite346522414t_bool,B_6))))).
% 8.10/8.07 all A_1 B_6 (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B_6))-> (hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,A_1),B_6))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f55526627ol_nat(finite1340463720e_bool,A_1)),hAPP_f55526627ol_nat(finite1340463720e_bool,B_6))))).
% 8.10/8.07 all A_1 B_6 (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B_6))-> (hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,A_1),B_6))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f2009550088ol_nat(finite1306199131a_bool,A_1)),hAPP_f2009550088ol_nat(finite1306199131a_bool,B_6))))).
% 8.10/8.07 all A_1 B_6 (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B_6))-> (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),B_6))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f921600141ol_nat(finite_card_pname,A_1)),hAPP_f921600141ol_nat(finite_card_pname,B_6))))).
% 8.10/8.07 all A_1 B_6 (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B_6))-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),B_6))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_fun_a_bool_nat(finite_card_a,A_1)),hAPP_fun_a_bool_nat(finite_card_a,B_6))))).
% 8.10/8.07 all A_1 B_6 (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B_6))-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_1),B_6))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f22106695ol_nat(finite_card_nat,A_1)),hAPP_f22106695ol_nat(finite_card_nat,B_6))))).
% 8.10/8.07 all A_1 B_6 (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B_6))-> (hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,A_1),B_6))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f696928925ol_nat(finite346522414t_bool,B_6)),hAPP_f696928925ol_nat(finite346522414t_bool,A_1)))->A_1=B_6))).
% 8.10/8.07 all A_1 B_6 (is_fun1661590463l_bool(A_1)&is_fun1661590463l_bool(B_6)-> (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B_6))-> (hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,A_1),B_6))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f55526627ol_nat(finite1340463720e_bool,B_6)),hAPP_f55526627ol_nat(finite1340463720e_bool,A_1)))->A_1=B_6)))).
% 8.10/8.07 all A_1 B_6 (is_fun949378684l_bool(A_1)&is_fun949378684l_bool(B_6)-> (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B_6))-> (hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,A_1),B_6))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f2009550088ol_nat(finite1306199131a_bool,B_6)),hAPP_f2009550088ol_nat(finite1306199131a_bool,A_1)))->A_1=B_6)))).
% 8.10/8.07 all A_1 B_6 (is_fun_pname_bool(A_1)&is_fun_pname_bool(B_6)-> (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B_6))-> (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),B_6))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f921600141ol_nat(finite_card_pname,B_6)),hAPP_f921600141ol_nat(finite_card_pname,A_1)))->A_1=B_6)))).
% 8.10/8.07 all A_1 B_6 (is_fun_a_bool(A_1)&is_fun_a_bool(B_6)-> (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B_6))-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),B_6))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_fun_a_bool_nat(finite_card_a,B_6)),hAPP_fun_a_bool_nat(finite_card_a,A_1)))->A_1=B_6)))).
% 8.10/8.07 all A_1 B_6 (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B_6))-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_1),B_6))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f22106695ol_nat(finite_card_nat,B_6)),hAPP_f22106695ol_nat(finite_card_nat,A_1)))->A_1=B_6))).
% 8.10/8.07 all X_3 A_1 (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f696928925ol_nat(finite346522414t_bool,A_1)),hAPP_f696928925ol_nat(finite346522414t_bool,insert_fun_nat_bool(X_3,A_1))))).
% 8.10/8.07 all X_3 A_1 (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f55526627ol_nat(finite1340463720e_bool,A_1)),hAPP_f55526627ol_nat(finite1340463720e_bool,insert1325755072e_bool(X_3,A_1))))).
% 8.10/8.07 all X_3 A_1 (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f2009550088ol_nat(finite1306199131a_bool,A_1)),hAPP_f2009550088ol_nat(finite1306199131a_bool,insert_fun_a_bool(X_3,A_1))))).
% 8.10/8.07 all X_3 A_1 (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f921600141ol_nat(finite_card_pname,A_1)),hAPP_f921600141ol_nat(finite_card_pname,insert_pname(X_3,A_1))))).
% 8.10/8.07 all X_3 A_1 (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f22106695ol_nat(finite_card_nat,A_1)),hAPP_f22106695ol_nat(finite_card_nat,insert_nat(X_3,A_1))))).
% 8.10/8.07 all X_3 A_1 (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_fun_a_bool_nat(finite_card_a,A_1)),hAPP_fun_a_bool_nat(finite_card_a,insert_a(X_3,A_1))))).
% 8.10/8.07 all X_3 A_1 (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A_1))-> (hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,X_3),A_1))->hAPP_f696928925ol_nat(finite346522414t_bool,insert_fun_nat_bool(X_3,A_1))=hAPP_f696928925ol_nat(finite346522414t_bool,A_1))& (-hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,X_3),A_1))->hAPP_f696928925ol_nat(finite346522414t_bool,insert_fun_nat_bool(X_3,A_1))=hAPP_nat_nat(suc,hAPP_f696928925ol_nat(finite346522414t_bool,A_1)))).
% 8.10/8.07 all X_3 A_1 (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A_1))-> (hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X_3),A_1))->hAPP_f55526627ol_nat(finite1340463720e_bool,insert1325755072e_bool(X_3,A_1))=hAPP_f55526627ol_nat(finite1340463720e_bool,A_1))& (-hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X_3),A_1))->hAPP_f55526627ol_nat(finite1340463720e_bool,insert1325755072e_bool(X_3,A_1))=hAPP_nat_nat(suc,hAPP_f55526627ol_nat(finite1340463720e_bool,A_1)))).
% 8.10/8.07 all X_3 A_1 (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A_1))-> (hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool,X_3),A_1))->hAPP_f2009550088ol_nat(finite1306199131a_bool,insert_fun_a_bool(X_3,A_1))=hAPP_f2009550088ol_nat(finite1306199131a_bool,A_1))& (-hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool,X_3),A_1))->hAPP_f2009550088ol_nat(finite1306199131a_bool,insert_fun_a_bool(X_3,A_1))=hAPP_nat_nat(suc,hAPP_f2009550088ol_nat(finite1306199131a_bool,A_1)))).
% 8.10/8.07 all X_3 A_1 (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_1))-> (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_3),A_1))->hAPP_f22106695ol_nat(finite_card_nat,insert_nat(X_3,A_1))=hAPP_f22106695ol_nat(finite_card_nat,A_1))& (-hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_3),A_1))->hAPP_f22106695ol_nat(finite_card_nat,insert_nat(X_3,A_1))=hAPP_nat_nat(suc,hAPP_f22106695ol_nat(finite_card_nat,A_1)))).
% 8.10/8.07 all X_3 A_1 (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))-> (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_3),A_1))->hAPP_f921600141ol_nat(finite_card_pname,insert_pname(X_3,A_1))=hAPP_f921600141ol_nat(finite_card_pname,A_1))& (-hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_3),A_1))->hAPP_f921600141ol_nat(finite_card_pname,insert_pname(X_3,A_1))=hAPP_nat_nat(suc,hAPP_f921600141ol_nat(finite_card_pname,A_1)))).
% 8.10/8.07 all X_3 A_1 (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_1))-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_3),A_1))->hAPP_fun_a_bool_nat(finite_card_a,insert_a(X_3,A_1))=hAPP_fun_a_bool_nat(finite_card_a,A_1))& (-hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_3),A_1))->hAPP_fun_a_bool_nat(finite_card_a,insert_a(X_3,A_1))=hAPP_nat_nat(suc,hAPP_fun_a_bool_nat(finite_card_a,A_1)))).
% 8.10/8.07 all X_3 A_1 (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A_1))-> (-hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,X_3),A_1))->hAPP_f696928925ol_nat(finite346522414t_bool,insert_fun_nat_bool(X_3,A_1))=hAPP_nat_nat(suc,hAPP_f696928925ol_nat(finite346522414t_bool,A_1)))).
% 8.10/8.07 all X_3 A_1 (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A_1))-> (-hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X_3),A_1))->hAPP_f55526627ol_nat(finite1340463720e_bool,insert1325755072e_bool(X_3,A_1))=hAPP_nat_nat(suc,hAPP_f55526627ol_nat(finite1340463720e_bool,A_1)))).
% 8.10/8.07 all X_3 A_1 (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A_1))-> (-hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool,X_3),A_1))->hAPP_f2009550088ol_nat(finite1306199131a_bool,insert_fun_a_bool(X_3,A_1))=hAPP_nat_nat(suc,hAPP_f2009550088ol_nat(finite1306199131a_bool,A_1)))).
% 8.10/8.07 all X_3 A_1 (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_1))-> (-hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_3),A_1))->hAPP_f22106695ol_nat(finite_card_nat,insert_nat(X_3,A_1))=hAPP_nat_nat(suc,hAPP_f22106695ol_nat(finite_card_nat,A_1)))).
% 8.10/8.07 all X_3 A_1 (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))-> (-hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_3),A_1))->hAPP_f921600141ol_nat(finite_card_pname,insert_pname(X_3,A_1))=hAPP_nat_nat(suc,hAPP_f921600141ol_nat(finite_card_pname,A_1)))).
% 8.10/8.07 all X_3 A_1 (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_1))-> (-hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_3),A_1))->hAPP_fun_a_bool_nat(finite_card_a,insert_a(X_3,A_1))=hAPP_nat_nat(suc,hAPP_fun_a_bool_nat(finite_card_a,A_1)))).
% 8.10/8.07 all Q_1 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_1)))->hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,Pa),Q_1))))).
% 8.10/8.07 all Q_1 Pa (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(Pa)))|hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(Q_1)))->hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fconj,Pa),Q_1))))).
% 8.10/8.07 all Q_1 Pa (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(Pa)))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(Q_1)))->hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,Pa),Q_1))))).
% 8.10/8.07 all Q_1 Pa (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(Pa)))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(Q_1)))->hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fconj,Pa),Q_1))))).
% 8.10/8.07 all Q_1 Pa (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(Pa)))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(Q_1)))->hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,Pa),Q_1))))).
% 8.10/8.07 all Q_1 Pa (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(Pa)))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(Q_1)))->hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,Pa),Q_1))))).
% 8.10/8.07 all N M (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),M))->hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(suc,M)),N)=hAPP_nat_nat(suc,hAPP_nat_nat(minus_minus_nat(M),N))).
% 8.10/8.07 all K_2 hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_e_q_nat),K_2)))).
% 8.10/8.07 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)).
% 8.10/8.07 all X Y (hAPP_nat_nat(suc,X)=hAPP_nat_nat(suc,Y)->X=Y).
% 8.10/8.07 all Nat_3 Nat_2 (hAPP_nat_nat(suc,Nat_3)=hAPP_nat_nat(suc,Nat_2)<->Nat_3=Nat_2).
% 8.10/8.07 all N (hAPP_nat_nat(suc,N)!=N).
% 8.10/8.07 all N (N!=hAPP_nat_nat(suc,N)).
% 8.10/8.07 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),M))->M=N)).
% 8.10/8.07 all K I J_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),J_2))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J_2),K))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),K)))).
% 8.10/8.07 all M N (M=N->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))).
% 8.10/8.07 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),M))).
% 8.10/8.07 all N hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),N)).
% 8.10/8.07 all I J_2 K (hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(I),J_2)),K)=hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(I),K)),J_2)).
% 8.10/8.07 all Pa Q_1 (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,Pa),Q_1))))<->hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(Pa)))&hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(Q_1)))).
% 8.10/8.07 all Pa Q_1 (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fdisj,Pa),Q_1))))<->hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(Pa)))&hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(Q_1)))).
% 8.10/8.07 all Pa Q_1 (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,Pa),Q_1))))<->hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(Pa)))&hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(Q_1)))).
% 8.10/8.07 all Pa Q_1 (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj,Pa),Q_1))))<->hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(Pa)))&hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(Q_1)))).
% 8.10/8.07 all Pa Q_1 (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,Pa),Q_1))))<->hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(Pa)))&hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(Q_1)))).
% 8.10/8.07 all Pa Q_1 (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,Pa),Q_1))))<->hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(Pa)))&hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(Q_1)))).
% 8.10/8.07 all A_3 A_1 (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,insert_fun_nat_bool(A_3,A_1)))<->hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A_1))).
% 8.10/8.07 all A_3 A_1 (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,insert1325755072e_bool(A_3,A_1)))<->hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A_1))).
% 8.10/8.07 all A_3 A_1 (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,insert_fun_a_bool(A_3,A_1)))<->hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A_1))).
% 8.10/8.07 all A_3 A_1 (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,insert_pname(A_3,A_1)))<->hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))).
% 8.10/8.07 all A_3 A_1 (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,insert_nat(A_3,A_1)))<->hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_1))).
% 8.10/8.07 all A_3 A_1 (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,insert_a(A_3,A_1)))<->hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_1))).
% 8.10/8.07 all A_1 B_6 (hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,A_1),B_6))-> (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B_6))->hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A_1)))).
% 8.10/8.07 all A_1 B_6 (hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,A_1),B_6))-> (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B_6))->hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A_1)))).
% 8.10/8.07 all A_1 B_6 (hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,A_1),B_6))-> (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B_6))->hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A_1)))).
% 8.10/8.07 all A_1 B_6 (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),B_6))-> (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B_6))->hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_1)))).
% 8.10/8.07 all A_1 B_6 (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),B_6))-> (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B_6))->hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1)))).
% 8.10/8.07 all A_1 B_6 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_1),B_6))-> (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B_6))->hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_1)))).
% 8.10/8.07 all A_1 B_6 (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B_6))-> (hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,A_1),B_6))->hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A_1)))).
% 8.10/8.07 all A_1 B_6 (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B_6))-> (hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,A_1),B_6))->hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A_1)))).
% 8.10/8.07 all A_1 B_6 (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B_6))-> (hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,A_1),B_6))->hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A_1)))).
% 8.10/8.07 all A_1 B_6 (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B_6))-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),B_6))->hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_1)))).
% 8.10/8.07 all A_1 B_6 (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B_6))-> (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),B_6))->hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1)))).
% 8.10/8.07 all A_1 B_6 (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B_6))-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_1),B_6))->hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_1)))).
% 8.10/8.07 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,M)),N))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))).
% 8.10/8.07 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),hAPP_nat_nat(suc,N)))-> (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))->M=hAPP_nat_nat(suc,N))).
% 8.10/8.07 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),hAPP_nat_nat(suc,N)))).
% 8.10/8.07 all Na M_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,Na)),hAPP_nat_nat(suc,M_1)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Na),M_1))).
% 8.10/8.07 all M_1 Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),hAPP_nat_nat(suc,Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),Na))|M_1=hAPP_nat_nat(suc,Na)).
% 8.10/8.07 all M_1 Na (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),Na))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,Na)),M_1))).
% 8.10/8.07 all N (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,N)),N))).
% 8.10/8.07 all M N K (hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(suc,M)),N)),hAPP_nat_nat(suc,K))=hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(M),N)),K)).
% 8.10/8.07 all M N (hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(suc,M)),hAPP_nat_nat(suc,N))=hAPP_nat_nat(minus_minus_nat(M),N)).
% 8.10/8.07 all Na K_2 M_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_2),M_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_2),Na))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(minus_minus_nat(M_1),K_2)),hAPP_nat_nat(minus_minus_nat(Na),K_2)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),Na))))).
% 8.10/8.07 all N 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),N))->hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(M),K)),hAPP_nat_nat(minus_minus_nat(N),K))=hAPP_nat_nat(minus_minus_nat(M),N))).
% 8.10/8.07 all Na K_2 M_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_2),M_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_2),Na))-> (hAPP_nat_nat(minus_minus_nat(M_1),K_2)=hAPP_nat_nat(minus_minus_nat(Na),K_2)<->M_1=Na))).
% 8.10/8.07 all I N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),N))->hAPP_nat_nat(minus_minus_nat(N),hAPP_nat_nat(minus_minus_nat(N),I))=I).
% 8.10/8.07 all L M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(minus_minus_nat(M),L)),hAPP_nat_nat(minus_minus_nat(N),L)))).
% 8.10/8.07 all L M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(minus_minus_nat(L),N)),hAPP_nat_nat(minus_minus_nat(L),M)))).
% 8.10/8.07 all M N hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(minus_minus_nat(M),N)),M)).
% 8.10/8.07 all B_6 F A_1 (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_1))-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_6),image_a_a(F,A_1)))->hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B_6)))).
% 8.10/8.07 all B_6 F A_1 (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A_1))-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_6),image_fun_nat_bool_a(F,A_1)))->hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B_6)))).
% 8.10/8.07 all B_6 F A_1 (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A_1))-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_6),image_876012084bool_a(F,A_1)))->hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B_6)))).
% 8.10/8.07 all B_6 F A_1 (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A_1))-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_6),image_fun_a_bool_a(F,A_1)))->hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B_6)))).
% 8.10/8.07 all B_6 F A_1 (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))-> (hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,B_6),image_2129980159t_bool(F,A_1)))->hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B_6)))).
% 8.10/8.07 all B_6 F A_1 (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))-> (hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,B_6),image_47868345e_bool(F,A_1)))->hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B_6)))).
% 8.10/8.07 all B_6 F A_1 (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))-> (hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,B_6),image_112932426a_bool(F,A_1)))->hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B_6)))).
% 8.10/8.07 all B_6 F A_1 (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))-> (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_6),image_pname_pname(F,A_1)))->hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B_6)))).
% 8.10/8.07 all B_6 F A_1 (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_6),image_pname_nat(F,A_1)))->hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B_6)))).
% 8.10/8.07 all B_6 F A_1 (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_1))-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_6),image_nat_a(F,A_1)))->hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B_6)))).
% 8.10/8.07 all B_6 F A_1 (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_1))-> (hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,B_6),image_26036933t_bool(F,A_1)))->hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B_6)))).
% 8.10/8.07 all B_6 F A_1 (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_1))-> (hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,B_6),image_1655916159e_bool(F,A_1)))->hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B_6)))).
% 8.10/8.07 all B_6 F A_1 (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_1))-> (hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,B_6),image_nat_fun_a_bool(F,A_1)))->hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B_6)))).
% 8.10/8.07 all B_6 F A_1 (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_1))-> (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_6),image_nat_pname(F,A_1)))->hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B_6)))).
% 8.10/8.07 all B_6 F A_1 (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_1))-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_6),image_nat_nat(F,A_1)))->hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B_6)))).
% 8.10/8.07 all B_6 F A_1 (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_1))-> (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_6),image_a_pname(F,A_1)))->hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B_6)))).
% 8.10/8.07 all B_6 F A_1 (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A_1))-> (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_6),image_1921560913_pname(F,A_1)))->hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B_6)))).
% 8.10/8.07 all B_6 F A_1 (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A_1))-> (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_6),image_1283814551_pname(F,A_1)))->hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B_6)))).
% 8.10/8.07 all B_6 F A_1 (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A_1))-> (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_6),image_1854862208_pname(F,A_1)))->hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B_6)))).
% 8.10/8.07 all B_6 F A_1 (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_1))-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_6),image_a_nat(F,A_1)))->hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B_6)))).
% 8.10/8.07 all B_6 F A_1 (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A_1))-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_6),image_496248727ol_nat(F,A_1)))->hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B_6)))).
% 8.10/8.07 all B_6 F A_1 (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A_1))-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_6),image_1551609309ol_nat(F,A_1)))->hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B_6)))).
% 8.10/8.07 all B_6 F A_1 (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A_1))-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_6),image_fun_a_bool_nat(F,A_1)))->hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B_6)))).
% 8.10/8.07 all B_6 F A_1 (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_6),image_pname_a(F,A_1)))->hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B_6)))).
% 8.10/8.07 all F A_1 B_6 (is_fun_a_bool(B_6)-> (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B_6))-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_6),image_fun_nat_bool_a(F,A_1)))-> (exists C_7 (hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,C_7),A_1))&hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,C_7))&B_6=image_fun_nat_bool_a(F,C_7)))))).
% 8.10/8.07 all F A_1 B_6 (is_fun_a_bool(B_6)-> (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B_6))-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_6),image_876012084bool_a(F,A_1)))-> (exists C_7 (is_fun1661590463l_bool(C_7)&hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,C_7),A_1))&hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,C_7))&B_6=image_876012084bool_a(F,C_7)))))).
% 8.10/8.07 all F A_1 B_6 (is_fun_a_bool(B_6)-> (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B_6))-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_6),image_fun_a_bool_a(F,A_1)))-> (exists C_7 (is_fun949378684l_bool(C_7)&hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,C_7),A_1))&hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,C_7))&B_6=image_fun_a_bool_a(F,C_7)))))).
% 8.10/8.07 all F A_1 B_6 (is_fun_a_bool(B_6)-> (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B_6))-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_6),image_a_a(F,A_1)))-> (exists C_7 (is_fun_a_bool(C_7)&hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,C_7),A_1))&hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,C_7))&B_6=image_a_a(F,C_7)))))).
% 8.10/8.07 all F A_1 B_6 (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B_6))-> (hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,B_6),image_a_fun_nat_bool(F,A_1)))-> (exists C_7 (is_fun_a_bool(C_7)&hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,C_7),A_1))&hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,C_7))&B_6=image_a_fun_nat_bool(F,C_7))))).
% 8.10/8.07 all F A_1 B_6 (is_fun1661590463l_bool(B_6)-> (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B_6))-> (hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,B_6),image_819518260e_bool(F,A_1)))-> (exists C_7 (is_fun_a_bool(C_7)&hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,C_7),A_1))&hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,C_7))&B_6=image_819518260e_bool(F,C_7)))))).
% 8.10/8.07 all F A_1 B_6 (is_fun949378684l_bool(B_6)-> (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B_6))-> (hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,B_6),image_a_fun_a_bool(F,A_1)))-> (exists C_7 (is_fun_a_bool(C_7)&hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,C_7),A_1))&hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,C_7))&B_6=image_a_fun_a_bool(F,C_7)))))).
% 8.10/8.07 all F A_1 B_6 (is_fun_pname_bool(B_6)-> (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B_6))-> (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_6),image_a_pname(F,A_1)))-> (exists C_7 (is_fun_a_bool(C_7)&hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,C_7),A_1))&hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,C_7))&B_6=image_a_pname(F,C_7)))))).
% 8.10/8.07 all F A_1 B_6 (is_fun_pname_bool(B_6)-> (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B_6))-> (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_6),image_1921560913_pname(F,A_1)))-> (exists C_7 (hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,C_7),A_1))&hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,C_7))&B_6=image_1921560913_pname(F,C_7)))))).
% 8.10/8.07 all F A_1 B_6 (is_fun_pname_bool(B_6)-> (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B_6))-> (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_6),image_1283814551_pname(F,A_1)))-> (exists C_7 (is_fun1661590463l_bool(C_7)&hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,C_7),A_1))&hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,C_7))&B_6=image_1283814551_pname(F,C_7)))))).
% 8.10/8.07 all F A_1 B_6 (is_fun_pname_bool(B_6)-> (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B_6))-> (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_6),image_1854862208_pname(F,A_1)))-> (exists C_7 (is_fun949378684l_bool(C_7)&hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,C_7),A_1))&hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,C_7))&B_6=image_1854862208_pname(F,C_7)))))).
% 8.10/8.07 all F A_1 B_6 (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B_6))-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_6),image_a_nat(F,A_1)))-> (exists C_7 (is_fun_a_bool(C_7)&hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,C_7),A_1))&hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,C_7))&B_6=image_a_nat(F,C_7))))).
% 8.10/8.07 all F A_1 B_6 (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B_6))-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_6),image_496248727ol_nat(F,A_1)))-> (exists C_7 (hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,C_7),A_1))&hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,C_7))&B_6=image_496248727ol_nat(F,C_7))))).
% 8.10/8.07 all F A_1 B_6 (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B_6))-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_6),image_1551609309ol_nat(F,A_1)))-> (exists C_7 (is_fun1661590463l_bool(C_7)&hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,C_7),A_1))&hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,C_7))&B_6=image_1551609309ol_nat(F,C_7))))).
% 8.10/8.07 all F A_1 B_6 (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B_6))-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_6),image_fun_a_bool_nat(F,A_1)))-> (exists C_7 (is_fun949378684l_bool(C_7)&hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,C_7),A_1))&hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,C_7))&B_6=image_fun_a_bool_nat(F,C_7))))).
% 8.10/8.07 all F A_1 B_6 (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B_6))-> (hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,B_6),image_2129980159t_bool(F,A_1)))-> (exists C_7 (is_fun_pname_bool(C_7)&hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,C_7),A_1))&hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,C_7))&B_6=image_2129980159t_bool(F,C_7))))).
% 8.10/8.07 all F A_1 B_6 (is_fun1661590463l_bool(B_6)-> (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B_6))-> (hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,B_6),image_47868345e_bool(F,A_1)))-> (exists C_7 (is_fun_pname_bool(C_7)&hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,C_7),A_1))&hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,C_7))&B_6=image_47868345e_bool(F,C_7)))))).
% 8.10/8.07 all F A_1 B_6 (is_fun949378684l_bool(B_6)-> (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B_6))-> (hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,B_6),image_112932426a_bool(F,A_1)))-> (exists C_7 (is_fun_pname_bool(C_7)&hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,C_7),A_1))&hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,C_7))&B_6=image_112932426a_bool(F,C_7)))))).
% 8.10/8.07 all F A_1 B_6 (is_fun_pname_bool(B_6)-> (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B_6))-> (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_6),image_pname_pname(F,A_1)))-> (exists C_7 (is_fun_pname_bool(C_7)&hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,C_7),A_1))&hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,C_7))&B_6=image_pname_pname(F,C_7)))))).
% 8.10/8.07 all F A_1 B_6 (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B_6))-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_6),image_pname_nat(F,A_1)))-> (exists C_7 (is_fun_pname_bool(C_7)&hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,C_7),A_1))&hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,C_7))&B_6=image_pname_nat(F,C_7))))).
% 8.10/8.07 all F A_1 B_6 (is_fun_a_bool(B_6)-> (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B_6))-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_6),image_nat_a(F,A_1)))-> (exists C_7 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,C_7),A_1))&hBOOL(hAPP_f54304608l_bool(finite_finite_nat,C_7))&B_6=image_nat_a(F,C_7)))))).
% 8.10/8.07 all F A_1 B_6 (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B_6))-> (hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,B_6),image_26036933t_bool(F,A_1)))-> (exists C_7 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,C_7),A_1))&hBOOL(hAPP_f54304608l_bool(finite_finite_nat,C_7))&B_6=image_26036933t_bool(F,C_7))))).
% 8.10/8.07 all F A_1 B_6 (is_fun1661590463l_bool(B_6)-> (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B_6))-> (hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,B_6),image_1655916159e_bool(F,A_1)))-> (exists C_7 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,C_7),A_1))&hBOOL(hAPP_f54304608l_bool(finite_finite_nat,C_7))&B_6=image_1655916159e_bool(F,C_7)))))).
% 8.10/8.07 all F A_1 B_6 (is_fun949378684l_bool(B_6)-> (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B_6))-> (hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,B_6),image_nat_fun_a_bool(F,A_1)))-> (exists C_7 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,C_7),A_1))&hBOOL(hAPP_f54304608l_bool(finite_finite_nat,C_7))&B_6=image_nat_fun_a_bool(F,C_7)))))).
% 8.10/8.07 all F A_1 B_6 (is_fun_pname_bool(B_6)-> (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B_6))-> (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_6),image_nat_pname(F,A_1)))-> (exists C_7 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,C_7),A_1))&hBOOL(hAPP_f54304608l_bool(finite_finite_nat,C_7))&B_6=image_nat_pname(F,C_7)))))).
% 8.10/8.07 all F A_1 B_6 (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B_6))-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_6),image_nat_nat(F,A_1)))-> (exists C_7 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,C_7),A_1))&hBOOL(hAPP_f54304608l_bool(finite_finite_nat,C_7))&B_6=image_nat_nat(F,C_7))))).
% 8.10/8.07 all F A_1 B_6 (is_fun_a_bool(B_6)-> (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B_6))-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_6),image_pname_a(F,A_1)))-> (exists C_7 (is_fun_pname_bool(C_7)&hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,C_7),A_1))&hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,C_7))&B_6=image_pname_a(F,C_7)))))).
% 8.10/8.07 all Na N_3 F ((all N_2 hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,hAPP_nat_bool(F,N_2)),hAPP_nat_bool(F,hAPP_nat_nat(suc,N_2)))))-> (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))))).
% 8.10/8.07 all Na N_3 F ((all N_2 hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_n1025906991e_bool(F,N_2)),hAPP_n1025906991e_bool(F,hAPP_nat_nat(suc,N_2)))))-> (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))))).
% 8.10/8.07 all Na N_3 F ((all N_2 hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_n1699378549t_bool(F,N_2)),hAPP_n1699378549t_bool(F,hAPP_nat_nat(suc,N_2)))))-> (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))))).
% 8.10/8.07 all Na N_3 F ((all N_2 hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_nat_fun_a_bool(F,N_2)),hAPP_nat_fun_a_bool(F,hAPP_nat_nat(suc,N_2)))))-> (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))))).
% 8.10/8.07 all Na N_3 F ((all N_2 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(F,N_2)),hAPP_nat_nat(F,hAPP_nat_nat(suc,N_2)))))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,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))))).
% 8.10/8.07 all F A_1 (-hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_1))-> (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_nat_pname(F,A_1)))-> (exists X_1 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A_1))& -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_1)),hAPP_p1499970991t_bool(cOMBC_nat_pname_bool(cOMBB_1212655066ol_nat(fe_qual_pname,F)),hAPP_nat_pname(F,X_1)))))))))).
% 8.10/8.07 all F A_1 (-hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_1))-> (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_a_pname(F,A_1)))-> (exists X_1 (is_a(X_1)&hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A_1))& -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),A_1)),hAPP_p1534023578a_bool(cOMBC_a_pname_bool(cOMBB_610033911bool_a(fe_qual_pname,F)),hAPP_a_pname(F,X_1)))))))))).
% 8.10/8.07 all F A_1 (-hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))-> (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_pname_pname(F,A_1)))-> (exists X_1 (is_pname(X_1)&hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A_1))& -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_1)),hAPP_p61793385e_bool(cOMBC_1149511130e_bool(cOMBB_542850580_pname(fe_qual_pname,F)),hAPP_pname_pname(F,X_1)))))))))).
% 8.10/8.07 all F A_1 (-hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A_1))-> (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1921560913_pname(F,A_1)))-> (exists X_1 (hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,X_1),A_1))& -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fconj,hAPP_f1246832597l_bool(cOMBC_1245412066l_bool(member_fun_nat_bool),A_1)),hAPP_p130839763l_bool(cOMBC_615407716e_bool(cOMBB_141086128t_bool(fe_qual_pname,F)),hAPP_f1291551745_pname(F,X_1)))))))))).
% 8.10/8.07 all F A_1 (-hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A_1))-> (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1283814551_pname(F,A_1)))-> (exists X_1 (is_fun_pname_bool(X_1)&hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X_1),A_1))& -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),A_1)),hAPP_p338031245l_bool(cOMBC_1004116266e_bool(cOMBB_598082538e_bool(fe_qual_pname,F)),hAPP_f1297739591_pname(F,X_1)))))))))).
% 8.10/8.07 all F A_1 (-hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A_1))-> (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1854862208_pname(F,A_1)))-> (exists X_1 (is_fun_a_bool(X_1)&hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool,X_1),A_1))& -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fconj,hAPP_f2117159681l_bool(cOMBC_1880041174l_bool(member_fun_a_bool),A_1)),hAPP_p1824510254l_bool(cOMBC_1738168533e_bool(cOMBB_1693087065a_bool(fe_qual_pname,F)),hAPP_f1128469712_pname(F,X_1)))))))))).
% 8.10/8.07 all F A_1 (-hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_1))-> (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_nat_nat(F,A_1)))-> (exists X_1 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A_1))& -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_1)),hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(cOMBB_800536526ol_nat(fe_qual_nat,F)),hAPP_nat_nat(F,X_1)))))))))).
% 8.10/8.07 all F A_1 (-hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_1))-> (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_a_nat(F,A_1)))-> (exists X_1 (is_a(X_1)&hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A_1))& -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),A_1)),hAPP_nat_fun_a_bool(cOMBC_a_nat_bool(cOMBB_1321347587bool_a(fe_qual_nat,F)),hAPP_a_nat(F,X_1)))))))))).
% 8.10/8.07 all F A_1 (-hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))-> (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_pname_nat(F,A_1)))-> (exists X_1 (is_pname(X_1)&hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A_1))& -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_1)),hAPP_n1025906991e_bool(cOMBC_pname_nat_bool(cOMBB_523834888_pname(fe_qual_nat,F)),hAPP_pname_nat(F,X_1)))))))))).
% 8.10/8.07 all F A_1 (-hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A_1))-> (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_496248727ol_nat(F,A_1)))-> (exists X_1 (hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,X_1),A_1))& -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fconj,hAPP_f1246832597l_bool(cOMBC_1245412066l_bool(member_fun_nat_bool),A_1)),hAPP_n215258509l_bool(cOMBC_385542954t_bool(cOMBB_1250273980t_bool(fe_qual_nat,F)),hAPP_f22106695ol_nat(F,X_1)))))))))).
% 8.10/8.07 all F A_1 (-hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A_1))-> (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_1551609309ol_nat(F,A_1)))-> (exists X_1 (is_fun_pname_bool(X_1)&hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X_1),A_1))& -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),A_1)),hAPP_n850744903l_bool(cOMBC_1666426608t_bool(cOMBB_1896684278e_bool(fe_qual_nat,F)),hAPP_f921600141ol_nat(F,X_1)))))))))).
% 8.10/8.07 all F A_1 (-hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A_1))-> (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_fun_a_bool_nat(F,A_1)))-> (exists X_1 (is_fun_a_bool(X_1)&hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool,X_1),A_1))& -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fconj,hAPP_f2117159681l_bool(cOMBC_1880041174l_bool(member_fun_a_bool),A_1)),hAPP_n1414589940l_bool(cOMBC_619334683t_bool(cOMBB_164527437a_bool(fe_qual_nat,F)),hAPP_fun_a_bool_nat(F,X_1)))))))))).
% 8.10/8.07 all F A_1 (-hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_1))-> (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_nat_a(F,A_1)))-> (exists X_1 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A_1))& -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_1)),hAPP_a_fun_nat_bool(cOMBC_nat_a_bool(cOMBB_1885489796ol_nat(fe_qual_a,F)),hAPP_nat_a(F,X_1)))))))))).
% 8.10/8.07 all F A_1 (-hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_1))-> (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_26036933t_bool(F,A_1)))-> (exists X_1 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A_1))& -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_1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(cOMBB_2026977092ol_nat(fe_qual_fun_nat_bool,F)),hAPP_n1699378549t_bool(F,X_1)))))))))).
% 8.10/8.07 all F A_1 (-hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_1))-> (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_1655916159e_bool(F,A_1)))-> (exists X_1 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A_1))& -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_1)),hAPP_f1066163005t_bool(cOMBC_386238098l_bool(cOMBB_2117322052ol_nat(fe_qual533582459e_bool,F)),hAPP_n1025906991e_bool(F,X_1)))))))))).
% 8.10/8.07 all F A_1 (-hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_1))-> (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_nat_fun_a_bool(F,A_1)))-> (exists X_1 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A_1))& -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_1)),hAPP_f282463732t_bool(cOMBC_1928494297l_bool(cOMBB_1823939024ol_nat(fe_qual_fun_a_bool,F)),hAPP_nat_fun_a_bool(F,X_1)))))))))).
% 8.10/8.07 all F A_1 (-hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))-> (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_2129980159t_bool(F,A_1)))-> (exists X_1 (is_pname(X_1)&hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A_1))& -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_1)),hAPP_f654413245e_bool(cOMBC_267053842l_bool(cOMBB_928955006_pname(fe_qual_fun_nat_bool,F)),hAPP_p1499970991t_bool(F,X_1)))))))))).
% 8.10/8.07 all F A_1 (-hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))-> (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_47868345e_bool(F,A_1)))-> (exists X_1 (is_pname(X_1)&hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A_1))& -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_1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(cOMBB_408569982_pname(fe_qual533582459e_bool,F)),hAPP_p61793385e_bool(F,X_1)))))))))).
% 8.10/8.07 all F A_1 (-hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))-> (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_112932426a_bool(F,A_1)))-> (exists X_1 (is_pname(X_1)&hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A_1))& -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_1)),hAPP_f1794073134e_bool(cOMBC_445755039l_bool(cOMBB_392435466_pname(fe_qual_fun_a_bool,F)),hAPP_p1534023578a_bool(F,X_1)))))))))).
% 8.10/8.07 all F A_1 (-hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_1))-> (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_a_a(F,A_1)))-> (exists X_1 (is_a(X_1)&hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A_1))& -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),A_1)),hAPP_a_fun_a_bool(cOMBC_a_a_bool(cOMBB_a_fun_a_bool_a(fe_qual_a,F)),hAPP_a_a(F,X_1)))))))))).
% 8.10/8.07 all F A_1 (-hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_1))-> (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_a_fun_nat_bool(F,A_1)))-> (exists X_1 (is_a(X_1)&hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A_1))& -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),A_1)),hAPP_f1549043526a_bool(cOMBC_777206479l_bool(cOMBB_743407885bool_a(fe_qual_fun_nat_bool,F)),hAPP_a_fun_nat_bool(F,X_1)))))))))).
% 8.10/8.07 all F A_1 (-hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_1))-> (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_819518260e_bool(F,A_1)))-> (exists X_1 (is_a(X_1)&hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A_1))& -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),A_1)),hAPP_f1051908748a_bool(cOMBC_1834145417l_bool(cOMBB_1137537805bool_a(fe_qual533582459e_bool,F)),hAPP_a93125764e_bool(F,X_1)))))))))).
% 8.10/8.07 all F A_1 (-hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_1))-> (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_a_fun_a_bool(F,A_1)))-> (exists X_1 (is_a(X_1)&hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A_1))& -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),A_1)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(cOMBB_472261505bool_a(fe_qual_fun_a_bool,F)),hAPP_a_fun_a_bool(F,X_1)))))))))).
% 8.10/8.07 all F A_1 (-hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))-> (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_pname_a(F,A_1)))-> (exists X_1 (is_pname(X_1)&hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A_1))& -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_1)),hAPP_a93125764e_bool(cOMBC_pname_a_bool(cOMBB_1897541054_pname(fe_qual_a,F)),hAPP_pname_a(F,X_1)))))))))).
% 8.10/8.07 all A_1 B_1 F X_3 (B_1=hAPP_pname_nat(F,X_3)-> (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_3),A_1))->hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,B_1),image_pname_nat(F,A_1))))).
% 8.10/8.07 all A_1 B_1 F X_3 (B_1=hAPP_a_nat(F,X_3)-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_3),A_1))->hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,B_1),image_a_nat(F,A_1))))).
% 8.10/8.07 all A_1 B_1 F X_3 (B_1=hAPP_nat_pname(F,X_3)-> (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_3),A_1))->hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,B_1),image_nat_pname(F,A_1))))).
% 8.10/8.07 all A_1 B_1 F X_3 (B_1=hAPP_nat_a(F,X_3)-> (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_3),A_1))->hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,B_1),image_nat_a(F,A_1))))).
% 8.10/8.07 all A_1 B_1 F X_3 (B_1=hAPP_pname_a(F,X_3)-> (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_3),A_1))->hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,B_1),image_pname_a(F,A_1))))).
% 8.10/8.07 all A_1 B_6 (is_fun_pname_bool(A_1)&is_fun_pname_bool(B_6)-> (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),B_6))-> (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_6),A_1))->A_1=B_6))).
% 8.10/8.07 all A_1 B_6 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_1),B_6))-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_6),A_1))->A_1=B_6)).
% 8.10/8.07 all A_1 B_6 (is_fun_a_bool(A_1)&is_fun_a_bool(B_6)-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),B_6))-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_6),A_1))->A_1=B_6))).
% 8.10/8.07 all C_1 A_1 B_6 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_1),B_6))-> (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_1),A_1))->hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_1),B_6)))).
% 8.10/8.07 all C_1 A_1 B_6 (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),B_6))-> (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C_1),A_1))->hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C_1),B_6)))).
% 8.10/8.07 all C_1 A_1 B_6 (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),B_6))-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,C_1),A_1))->hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,C_1),B_6)))).
% 8.10/8.07 all B_1 A_3 B_6 ((-hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_3),B_6))->A_3=B_1)->hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_3),insert_nat(B_1,B_6)))).
% 8.10/8.07 all B_1 A_3 B_6 ((-hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_3),B_6))->A_3=B_1)->hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_3),insert_pname(B_1,B_6)))).
% 8.10/8.07 all B_1 A_3 B_6 ((-hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_3),B_6))->A_3=B_1)->hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_3),insert_a(B_1,B_6)))).
% 8.10/8.07 all A_3 B_1 A_1 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_3),insert_nat(B_1,A_1)))-> (A_3!=B_1->hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_3),A_1)))).
% 8.10/8.07 all A_3 B_1 A_1 (is_pname(A_3)&is_pname(B_1)-> (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_3),insert_pname(B_1,A_1)))-> (A_3!=B_1->hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_3),A_1))))).
% 8.10/8.07 all A_3 B_1 A_1 (is_a(A_3)&is_a(B_1)-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_3),insert_a(B_1,A_1)))-> (A_3!=B_1->hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_3),A_1))))).
% 8.10/8.07 all I_1 Pa K_2 (hBOOL(hAPP_nat_bool(Pa,K_2))-> ((all N_2 (hBOOL(hAPP_nat_bool(Pa,hAPP_nat_nat(suc,N_2)))->hBOOL(hAPP_nat_bool(Pa,N_2))))->hBOOL(hAPP_nat_bool(Pa,hAPP_nat_nat(minus_minus_nat(K_2),I_1))))).
% 8.10/8.07 all N M_3 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,N)),M_3))-> (exists M_2 (M_3=hAPP_nat_nat(suc,M_2)))).
% 8.10/8.07 all A_3 B_6 hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_3),insert_nat(A_3,B_6))).
% 8.10/8.07 all A_3 B_6 hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_3),insert_pname(A_3,B_6))).
% 8.10/8.07 all A_3 B_6 hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_3),insert_a(A_3,B_6))).
% 8.10/8.07 all A_3 B_6 (insert_fun_nat_bool(A_3,B_6)=collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fdisj,hAPP_f103356543l_bool(cOMBC_1693257480l_bool(fe_qual_fun_nat_bool),A_3)),hAPP_f1246832597l_bool(cOMBC_1245412066l_bool(member_fun_nat_bool),B_6)))).
% 8.10/8.07 all A_3 B_6 (insert1325755072e_bool(A_3,B_6)=collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fe_qual533582459e_bool),A_3)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),B_6)))).
% 8.10/8.07 all A_3 B_6 (insert_fun_a_bool(A_3,B_6)=collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj,hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fe_qual_fun_a_bool),A_3)),hAPP_f2117159681l_bool(cOMBC_1880041174l_bool(member_fun_a_bool),B_6)))).
% 8.10/8.07 all A_3 B_6 (insert_nat(A_3,B_6)=collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fe_qual_nat),A_3)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),B_6)))).
% 8.10/8.07 all A_3 B_6 (insert_pname(A_3,B_6)=collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fe_qual_pname),A_3)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),B_6)))).
% 8.10/8.07 all A_3 B_6 (insert_a(A_3,B_6)=collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fe_qual_a),A_3)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),B_6)))).
% 8.10/8.07 all A_3 Pa (insert_pname(A_3,collect_pname(Pa))=collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fimplies,cOMBB_647938656_pname(fNot,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fe_qual_pname),A_3))),Pa))).
% 8.10/8.07 all A_3 Pa (insert_fun_nat_bool(A_3,collect_fun_nat_bool(Pa))=collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fimplies,cOMBB_238756964t_bool(fNot,hAPP_f103356543l_bool(cOMBC_1693257480l_bool(fe_qual_fun_nat_bool),A_3))),Pa))).
% 8.10/8.07 all A_3 Pa (insert1325755072e_bool(A_3,collec1974731493e_bool(Pa))=collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fimplies,cOMBB_307249310e_bool(fNot,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fe_qual533582459e_bool),A_3))),Pa))).
% 8.10/8.07 all A_3 Pa (insert_fun_a_bool(A_3,collect_fun_a_bool(Pa))=collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fimplies,cOMBB_2140588453a_bool(fNot,hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fe_qual_fun_a_bool),A_3))),Pa))).
% 8.10/8.07 all A_3 Pa (insert_nat(A_3,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_3))),Pa))).
% 8.10/8.07 all A_3 Pa (insert_a(A_3,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_3))),Pa))).
% 8.10/8.07 all X_3 A_1 (insert_pname(X_3,insert_pname(X_3,A_1))=insert_pname(X_3,A_1)).
% 8.10/8.07 all X_3 A_1 (insert_nat(X_3,insert_nat(X_3,A_1))=insert_nat(X_3,A_1)).
% 8.10/8.07 all X_3 A_1 (insert_a(X_3,insert_a(X_3,A_1))=insert_a(X_3,A_1)).
% 8.10/8.07 all X_3 Y_2 A_1 (insert_pname(X_3,insert_pname(Y_2,A_1))=insert_pname(Y_2,insert_pname(X_3,A_1))).
% 8.10/8.07 all X_3 Y_2 A_1 (insert_nat(X_3,insert_nat(Y_2,A_1))=insert_nat(Y_2,insert_nat(X_3,A_1))).
% 8.10/8.07 all X_3 Y_2 A_1 (insert_a(X_3,insert_a(Y_2,A_1))=insert_a(Y_2,insert_a(X_3,A_1))).
% 8.10/8.07 all A_3 B_1 A_1 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_3),insert_nat(B_1,A_1)))<->A_3=B_1|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_3),A_1))).
% 8.10/8.07 all A_3 B_1 A_1 (is_pname(A_3)&is_pname(B_1)-> (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_3),insert_pname(B_1,A_1)))<->A_3=B_1|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_3),A_1)))).
% 8.10/8.07 all A_3 B_1 A_1 (is_a(A_3)&is_a(B_1)-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_3),insert_a(B_1,A_1)))<->A_3=B_1|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_3),A_1)))).
% 8.10/8.07 all Y_2 A_1 X_3 (is_pname(Y_2)&is_pname(X_3)-> (hBOOL(hAPP_pname_bool(insert_pname(Y_2,A_1),X_3))<->Y_2=X_3|hBOOL(hAPP_pname_bool(A_1,X_3)))).
% 8.10/8.07 all Y_2 A_1 X_3 (hBOOL(hAPP_nat_bool(insert_nat(Y_2,A_1),X_3))<->Y_2=X_3|hBOOL(hAPP_nat_bool(A_1,X_3))).
% 8.10/8.07 all Y_2 A_1 X_3 (is_a(Y_2)&is_a(X_3)-> (hBOOL(hAPP_a_bool(insert_a(Y_2,A_1),X_3))<->Y_2=X_3|hBOOL(hAPP_a_bool(A_1,X_3)))).
% 8.10/8.07 all B_6 X_3 A_1 (-hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_3),A_1))-> (-hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_3),B_6))-> (insert_nat(X_3,A_1)=insert_nat(X_3,B_6)<->A_1=B_6))).
% 8.10/8.07 all B_6 X_3 A_1 (is_fun_pname_bool(B_6)&is_fun_pname_bool(A_1)-> (-hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_3),A_1))-> (-hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_3),B_6))-> (insert_pname(X_3,A_1)=insert_pname(X_3,B_6)<->A_1=B_6)))).
% 8.10/8.07 all B_6 X_3 A_1 (is_fun_a_bool(B_6)&is_fun_a_bool(A_1)-> (-hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_3),A_1))-> (-hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_3),B_6))-> (insert_a(X_3,A_1)=insert_a(X_3,B_6)<->A_1=B_6)))).
% 8.10/8.07 all B_1 A_3 B_6 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_3),B_6))->hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_3),insert_nat(B_1,B_6)))).
% 8.10/8.07 all B_1 A_3 B_6 (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_3),B_6))->hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_3),insert_pname(B_1,B_6)))).
% 8.10/8.07 all B_1 A_3 B_6 (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_3),B_6))->hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_3),insert_a(B_1,B_6)))).
% 8.10/8.07 all A_3 A_1 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_3),A_1))->insert_nat(A_3,A_1)=A_1).
% 8.10/8.07 all A_3 A_1 (is_fun_pname_bool(A_1)-> (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_3),A_1))->insert_pname(A_3,A_1)=A_1)).
% 8.10/8.07 all A_3 A_1 (is_fun_a_bool(A_1)-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_3),A_1))->insert_a(A_3,A_1)=A_1)).
% 8.10/8.07 all A_1 hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),A_1)).
% 8.10/8.07 all A_1 hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_1),A_1)).
% 8.10/8.07 all A_1 hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),A_1)).
% 8.10/8.07 all A_1 B_6 (is_fun_pname_bool(A_1)&is_fun_pname_bool(B_6)-> (A_1=B_6<->hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),B_6))&hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_6),A_1)))).
% 8.10/8.07 all A_1 B_6 (A_1=B_6<->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_1),B_6))&hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_6),A_1))).
% 8.10/8.07 all A_1 B_6 (is_fun_a_bool(A_1)&is_fun_a_bool(B_6)-> (A_1=B_6<->hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),B_6))&hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_6),A_1)))).
% 8.10/8.07 all A_1 B_6 (A_1=B_6->hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),B_6))).
% 8.10/8.07 all A_1 B_6 (A_1=B_6->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_1),B_6))).
% 8.10/8.07 all A_1 B_6 (A_1=B_6->hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),B_6))).
% 8.10/8.07 all A_1 B_6 (A_1=B_6->hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_6),A_1))).
% 8.10/8.07 all A_1 B_6 (A_1=B_6->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_6),A_1))).
% 8.10/8.07 all A_1 B_6 (A_1=B_6->hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_6),A_1))).
% 8.10/8.07 all X_3 A_1 B_6 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_1),B_6))-> (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_3),A_1))->hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_3),B_6)))).
% 8.10/8.07 all X_3 A_1 B_6 (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),B_6))-> (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_3),A_1))->hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_3),B_6)))).
% 8.10/8.07 all X_3 A_1 B_6 (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),B_6))-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_3),A_1))->hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_3),B_6)))).
% 8.10/8.07 all B_6 X_3 A_1 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_3),A_1))-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_1),B_6))->hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_3),B_6)))).
% 8.10/8.07 all B_6 X_3 A_1 (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_3),A_1))-> (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),B_6))->hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_3),B_6)))).
% 8.10/8.07 all B_6 X_3 A_1 (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_3),A_1))-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),B_6))->hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_3),B_6)))).
% 8.10/8.07 all X_3 A_1 B_6 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_1),B_6))-> (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_3),A_1))->hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_3),B_6)))).
% 8.10/8.07 all X_3 A_1 B_6 (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),B_6))-> (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_3),A_1))->hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_3),B_6)))).
% 8.10/8.07 all X_3 A_1 B_6 (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),B_6))-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_3),A_1))->hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_3),B_6)))).
% 8.10/8.07 all X_3 A_1 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_3),A_1))<->hBOOL(hAPP_nat_bool(A_1,X_3))).
% 8.10/8.07 all X_3 A_1 (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_3),A_1))<->hBOOL(hAPP_pname_bool(A_1,X_3))).
% 8.10/8.07 all X_3 A_1 (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_3),A_1))<->hBOOL(hAPP_a_bool(A_1,X_3))).
% 8.10/8.07 all Pa (is_fun_a_bool(Pa)->collect_a(Pa)=Pa).
% 8.10/8.07 all Pa (is_fun_pname_bool(Pa)->collect_pname(Pa)=Pa).
% 8.10/8.07 all Pa (collect_fun_nat_bool(Pa)=Pa).
% 8.10/8.07 all Pa (is_fun1661590463l_bool(Pa)->collec1974731493e_bool(Pa)=Pa).
% 8.10/8.07 all Pa (is_fun949378684l_bool(Pa)->collect_fun_a_bool(Pa)=Pa).
% 8.10/8.07 all Pa (collect_nat(Pa)=Pa).
% 8.10/8.07 all C_6 A_1 B_6 (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),B_6))-> (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_6),C_6))->hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),C_6)))).
% 8.10/8.07 all C_6 A_1 B_6 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_1),B_6))-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_6),C_6))->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_1),C_6)))).
% 8.10/8.07 all C_6 A_1 B_6 (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),B_6))-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_6),C_6))->hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),C_6)))).
% 8.10/8.07 all A_1 B_6 (A_1=B_6-> -(hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),B_6))-> -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_6),A_1)))).
% 8.10/8.07 all A_1 B_6 (A_1=B_6-> -(hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_1),B_6))-> -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_6),A_1)))).
% 8.10/8.07 all A_1 B_6 (A_1=B_6-> -(hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),B_6))-> -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_6),A_1)))).
% 8.10/8.07 all Z_1 F A_1 (is_a(Z_1)-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,Z_1),image_pname_a(F,A_1)))<-> (exists X_1 (is_pname(X_1)&hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A_1))&Z_1=hAPP_pname_a(F,X_1))))).
% 8.10/8.07 all F X_3 A_1 (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_3),A_1))->hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_pname_nat(F,X_3)),image_pname_nat(F,A_1)))).
% 8.10/8.07 all F X_3 A_1 (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_3),A_1))->hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_a_nat(F,X_3)),image_a_nat(F,A_1)))).
% 8.10/8.07 all F X_3 A_1 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_3),A_1))->hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_nat_pname(F,X_3)),image_nat_pname(F,A_1)))).
% 8.10/8.07 all F X_3 A_1 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_3),A_1))->hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_nat_a(F,X_3)),image_nat_a(F,A_1)))).
% 8.10/8.07 all F X_3 A_1 (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_3),A_1))->hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(F,X_3)),image_pname_a(F,A_1)))).
% 8.10/8.07 all B_1 F X_3 A_1 (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_3),A_1))-> (B_1=hAPP_pname_nat(F,X_3)->hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,B_1),image_pname_nat(F,A_1))))).
% 8.10/8.07 all B_1 F X_3 A_1 (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_3),A_1))-> (B_1=hAPP_a_nat(F,X_3)->hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,B_1),image_a_nat(F,A_1))))).
% 8.10/8.07 all B_1 F X_3 A_1 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_3),A_1))-> (B_1=hAPP_nat_pname(F,X_3)->hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,B_1),image_nat_pname(F,A_1))))).
% 8.10/8.07 all B_1 F X_3 A_1 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_3),A_1))-> (B_1=hAPP_nat_a(F,X_3)->hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,B_1),image_nat_a(F,A_1))))).
% 8.10/8.07 all B_1 F X_3 A_1 (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_3),A_1))-> (B_1=hAPP_pname_a(F,X_3)->hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,B_1),image_pname_a(F,A_1))))).
% 8.10/8.07 all X_1 Xa (insert_fun_nat_bool(X_1,Xa)=collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fdisj,hAPP_f103356543l_bool(cOMBC_1693257480l_bool(fe_qual_fun_nat_bool),X_1)),hAPP_f1246832597l_bool(cOMBC_1245412066l_bool(member_fun_nat_bool),Xa)))).
% 8.10/8.07 all X_1 Xa (insert1325755072e_bool(X_1,Xa)=collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fe_qual533582459e_bool),X_1)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),Xa)))).
% 8.10/8.07 all X_1 Xa (insert_fun_a_bool(X_1,Xa)=collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj,hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fe_qual_fun_a_bool),X_1)),hAPP_f2117159681l_bool(cOMBC_1880041174l_bool(member_fun_a_bool),Xa)))).
% 8.10/8.07 all X_1 Xa (insert_nat(X_1,Xa)=collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fe_qual_nat),X_1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),Xa)))).
% 8.10/8.07 all X_1 Xa (insert_pname(X_1,Xa)=collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fe_qual_pname),X_1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),Xa)))).
% 8.10/8.07 all X_1 Xa (insert_a(X_1,Xa)=collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fe_qual_a),X_1)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),Xa)))).
% 8.10/8.07 all B_6 A_3 hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_6),insert_pname(A_3,B_6))).
% 8.10/8.07 all B_6 A_3 hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_6),insert_nat(A_3,B_6))).
% 8.10/8.07 all B_6 A_3 hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_6),insert_a(A_3,B_6))).
% 8.10/8.07 all X_3 A_1 B_6 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,insert_nat(X_3,A_1)),B_6))<->hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_3),B_6))&hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_1),B_6))).
% 8.10/8.07 all X_3 A_1 B_6 (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,insert_pname(X_3,A_1)),B_6))<->hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_3),B_6))&hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),B_6))).
% 8.10/8.07 all X_3 A_1 B_6 (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X_3,A_1)),B_6))<->hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_3),B_6))&hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),B_6))).
% 8.10/8.07 all B_6 X_3 A_1 (-hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_3),A_1))-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_1),insert_nat(X_3,B_6)))<->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_1),B_6)))).
% 8.10/8.07 all B_6 X_3 A_1 (-hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_3),A_1))-> (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),insert_pname(X_3,B_6)))<->hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),B_6)))).
% 8.10/8.07 all B_6 X_3 A_1 (-hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_3),A_1))-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),insert_a(X_3,B_6)))<->hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),B_6)))).
% 8.10/8.07 all B_1 A_1 B_6 (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),B_6))->hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),insert_pname(B_1,B_6)))).
% 8.10/8.07 all B_1 A_1 B_6 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_1),B_6))->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_1),insert_nat(B_1,B_6)))).
% 8.10/8.07 all B_1 A_1 B_6 (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),B_6))->hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),insert_a(B_1,B_6)))).
% 8.10/8.07 all A_3 C_6 D_1 (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,C_6),D_1))->hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,insert_pname(A_3,C_6)),insert_pname(A_3,D_1)))).
% 8.10/8.07 all A_3 C_6 D_1 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,C_6),D_1))->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,insert_nat(A_3,C_6)),insert_nat(A_3,D_1)))).
% 8.10/8.07 all A_3 C_6 D_1 (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,C_6),D_1))->hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(A_3,C_6)),insert_a(A_3,D_1)))).
% 8.10/8.07 all F A_3 B_6 (image_a_pname(F,insert_a(A_3,B_6))=insert_pname(hAPP_a_pname(F,A_3),image_a_pname(F,B_6))).
% 8.10/8.07 all F A_3 B_6 (image_a_nat(F,insert_a(A_3,B_6))=insert_nat(hAPP_a_nat(F,A_3),image_a_nat(F,B_6))).
% 8.10/8.07 all F A_3 B_6 (image_nat_a(F,insert_nat(A_3,B_6))=insert_a(hAPP_nat_a(F,A_3),image_nat_a(F,B_6))).
% 8.10/8.07 all F A_3 B_6 (image_pname_a(F,insert_pname(A_3,B_6))=insert_a(hAPP_pname_a(F,A_3),image_pname_a(F,B_6))).
% 8.10/8.07 all F X_3 A_1 (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_3),A_1))->insert_pname(hAPP_pname_pname(F,X_3),image_pname_pname(F,A_1))=image_pname_pname(F,A_1)).
% 8.10/8.07 all F X_3 A_1 (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_3),A_1))->insert_nat(hAPP_pname_nat(F,X_3),image_pname_nat(F,A_1))=image_pname_nat(F,A_1)).
% 8.10/8.07 all F X_3 A_1 (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_3),A_1))->insert_pname(hAPP_a_pname(F,X_3),image_a_pname(F,A_1))=image_a_pname(F,A_1)).
% 8.10/8.07 all F X_3 A_1 (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_3),A_1))->insert_nat(hAPP_a_nat(F,X_3),image_a_nat(F,A_1))=image_a_nat(F,A_1)).
% 8.10/8.07 all F X_3 A_1 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_3),A_1))->insert_a(hAPP_nat_a(F,X_3),image_nat_a(F,A_1))=image_nat_a(F,A_1)).
% 8.10/8.07 all F X_3 A_1 (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_3),A_1))->insert_a(hAPP_pname_a(F,X_3),image_pname_a(F,A_1))=image_pname_a(F,A_1)).
% 8.10/8.07 all B_6 F A_1 (is_fun_a_bool(B_6)-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_6),image_nat_a(F,A_1)))<-> (exists AA (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,AA),A_1))&B_6=image_nat_a(F,AA))))).
% 8.10/8.07 all B_6 F A_1 (is_fun_pname_bool(B_6)-> (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_6),image_a_pname(F,A_1)))<-> (exists AA (is_fun_a_bool(AA)&hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,AA),A_1))&B_6=image_a_pname(F,AA))))).
% 8.10/8.07 all B_6 F A_1 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_6),image_a_nat(F,A_1)))<-> (exists AA (is_fun_a_bool(AA)&hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,AA),A_1))&B_6=image_a_nat(F,AA)))).
% 8.10/8.07 all B_6 F A_1 (is_fun_a_bool(B_6)-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_6),image_pname_a(F,A_1)))<-> (exists AA (is_fun_pname_bool(AA)&hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,AA),A_1))&B_6=image_pname_a(F,AA))))).
% 8.10/8.07 all F A_1 B_6 (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),B_6))->hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,image_a_pname(F,A_1)),image_a_pname(F,B_6)))).
% 8.10/8.07 all F A_1 B_6 (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),B_6))->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,image_a_nat(F,A_1)),image_a_nat(F,B_6)))).
% 8.10/8.07 all F A_1 B_6 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_1),B_6))->hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,image_nat_a(F,A_1)),image_nat_a(F,B_6)))).
% 8.10/8.07 all F A_1 B_6 (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),B_6))->hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,image_pname_a(F,A_1)),image_pname_a(F,B_6)))).
% 8.10/8.07 all B_1 F A_1 (is_pname(B_1)-> (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,B_1),image_nat_pname(F,A_1)))-> -(all X_1 (B_1=hAPP_nat_pname(F,X_1)-> -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A_1)))))).
% 8.10/8.07 all B_1 F A_1 (is_a(B_1)-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,B_1),image_nat_a(F,A_1)))-> -(all X_1 (B_1=hAPP_nat_a(F,X_1)-> -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A_1)))))).
% 8.10/8.07 all B_1 F A_1 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,B_1),image_pname_nat(F,A_1)))-> -(all X_1 (is_pname(X_1)-> (B_1=hAPP_pname_nat(F,X_1)-> -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A_1)))))).
% 8.10/8.07 all B_1 F A_1 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,B_1),image_a_nat(F,A_1)))-> -(all X_1 (is_a(X_1)-> (B_1=hAPP_a_nat(F,X_1)-> -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A_1)))))).
% 8.10/8.07 all B_1 F A_1 (is_a(B_1)-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,B_1),image_pname_a(F,A_1)))-> -(all X_1 (is_pname(X_1)-> (B_1=hAPP_pname_a(F,X_1)-> -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A_1))))))).
% 8.10/8.07 all B_6 A_1 ((all X_1 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A_1))->hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),B_6))))->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_1),B_6))).
% 8.10/8.07 all B_6 A_1 ((all X_1 (is_pname(X_1)-> (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A_1))->hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),B_6)))))->hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),B_6))).
% 8.10/8.07 all B_6 A_1 ((all X_1 (is_a(X_1)-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A_1))->hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),B_6)))))->hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),B_6))).
% 8.10/8.07 all F B_6 A_1 ((all X_1 (is_pname(X_1)-> (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A_1))->hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_pname_nat(F,X_1)),B_6)))))->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,image_pname_nat(F,A_1)),B_6))).
% 8.10/8.07 all F B_6 A_1 ((all X_1 (is_pname(X_1)-> (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A_1))->hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_pname_pname(F,X_1)),B_6)))))->hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,image_pname_pname(F,A_1)),B_6))).
% 8.10/8.07 all F B_6 A_1 ((all X_1 (is_a(X_1)-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A_1))->hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_a_nat(F,X_1)),B_6)))))->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,image_a_nat(F,A_1)),B_6))).
% 8.10/8.07 all F B_6 A_1 ((all X_1 (is_a(X_1)-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A_1))->hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_a_pname(F,X_1)),B_6)))))->hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,image_a_pname(F,A_1)),B_6))).
% 8.10/8.07 all F B_6 A_1 ((all X_1 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A_1))->hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_nat_pname(F,X_1)),B_6))))->hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,image_nat_pname(F,A_1)),B_6))).
% 8.10/8.07 all F B_6 A_1 ((all X_1 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A_1))->hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_nat_a(F,X_1)),B_6))))->hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,image_nat_a(F,A_1)),B_6))).
% 8.10/8.07 all F B_6 A_1 ((all X_1 (is_pname(X_1)-> (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A_1))->hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(F,X_1)),B_6)))))->hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,image_pname_a(F,A_1)),B_6))).
% 8.10/8.07 all X_3 hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,X_3),X_3)).
% 8.10/8.07 all X_3 hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X_3),X_3)).
% 8.10/8.07 all X_3 hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_3),X_3)).
% 8.10/8.07 all X_3 hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X_3),X_3)).
% 8.10/8.07 all X_10 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_10),X_10)).
% 8.10/8.07 all N_1 (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,N_1))<-> (exists M_2 all X_1 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),M_2))))).
% 8.10/8.07 all G C_1 (hBOOL(wt(C_1))-> ((all X_1 (is_pname(X_1)-> (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),u))->hBOOL(hAPP_fun_a_bool_bool(p(G),insert_a(hAPP_pname_a(mgt_call,X_1),bot_bot_fun_a_bool))))))->hBOOL(hAPP_fun_a_bool_bool(p(G),insert_a(mgt(C_1),bot_bot_fun_a_bool))))).
% 8.10/8.07 all F G_1 (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,F),G_1))<-> (all X_1 (is_pname(X_1)->hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,hAPP_pname_bool(F,X_1)),hAPP_pname_bool(G_1,X_1)))))).
% 8.10/8.07 all F G_1 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,F),G_1))<-> (all X_1 hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,hAPP_nat_bool(F,X_1)),hAPP_nat_bool(G_1,X_1))))).
% 8.10/8.07 all F G_1 (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,F),G_1))<-> (all X_1 (is_a(X_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)))))).
% 8.10/8.07 all X_3 F G_1 (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,F),G_1))->hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,hAPP_pname_bool(F,X_3)),hAPP_pname_bool(G_1,X_3)))).
% 8.10/8.07 all X_3 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_3)),hAPP_nat_bool(G_1,X_3)))).
% 8.10/8.07 all X_3 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_3)),hAPP_a_bool(G_1,X_3)))).
% 8.10/8.07 all X_3 F G_1 (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,F),G_1))->hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,hAPP_pname_bool(F,X_3)),hAPP_pname_bool(G_1,X_3)))).
% 8.10/8.07 all X_3 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_3)),hAPP_nat_bool(G_1,X_3)))).
% 8.10/8.07 all X_3 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_3)),hAPP_a_bool(G_1,X_3)))).
% 8.10/8.07 all A_3 (-hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_3),bot_bot_fun_nat_bool))).
% 8.10/8.07 all A_3 (-hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_3),bot_bo844097828e_bool))).
% 8.10/8.07 all A_3 (-hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_3),bot_bot_fun_a_bool))).
% 8.10/8.07 hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,bot_bo1701429464l_bool)).
% 8.10/8.07 hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,bot_bo1649642514l_bool)).
% 8.10/8.07 hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,bot_bo1389914601l_bool)).
% 8.10/8.07 hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,bot_bot_fun_a_bool)).
% 8.10/8.07 hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,bot_bo844097828e_bool)).
% 8.10/8.07 hBOOL(hAPP_f54304608l_bool(finite_finite_nat,bot_bot_fun_nat_bool)).
% 8.10/8.07 all A_1 hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,bot_bo844097828e_bool),A_1)).
% 8.10/8.07 all A_1 hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,bot_bot_fun_nat_bool),A_1)).
% 8.10/8.07 all A_1 hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,bot_bot_fun_a_bool),A_1)).
% 8.10/8.07 all A_3 A_1 (A_1=bot_bot_fun_nat_bool-> -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_3),A_1))).
% 8.10/8.07 all A_3 A_1 (A_1=bot_bo844097828e_bool-> -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_3),A_1))).
% 8.10/8.07 all A_3 A_1 (A_1=bot_bot_fun_a_bool-> -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_3),A_1))).
% 8.10/8.07 all Pa (collect_pname(Pa)=bot_bo844097828e_bool<-> (all X_1 (is_pname(X_1)-> -hBOOL(hAPP_pname_bool(Pa,X_1))))).
% 8.10/8.07 all Pa (collect_fun_nat_bool(Pa)=bot_bo1701429464l_bool<-> (all X_1 (-hBOOL(hAPP_f54304608l_bool(Pa,X_1))))).
% 8.10/8.07 all Pa (collec1974731493e_bool(Pa)=bot_bo1649642514l_bool<-> (all X_1 (is_fun_pname_bool(X_1)-> -hBOOL(hAPP_f1664156314l_bool(Pa,X_1))))).
% 8.10/8.07 all Pa (collect_fun_a_bool(Pa)=bot_bo1389914601l_bool<-> (all X_1 (is_fun_a_bool(X_1)-> -hBOOL(hAPP_fun_a_bool_bool(Pa,X_1))))).
% 8.10/8.07 all Pa (collect_a(Pa)=bot_bot_fun_a_bool<-> (all X_1 (is_a(X_1)-> -hBOOL(hAPP_a_bool(Pa,X_1))))).
% 8.10/8.07 all Pa (collect_nat(Pa)=bot_bot_fun_nat_bool<-> (all X_1 (-hBOOL(hAPP_nat_bool(Pa,X_1))))).
% 8.10/8.07 all C_1 (-hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_1),bot_bot_fun_nat_bool))).
% 8.10/8.07 all C_1 (-hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C_1),bot_bo844097828e_bool))).
% 8.10/8.07 all C_1 (-hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,C_1),bot_bot_fun_a_bool))).
% 8.10/8.07 all Pa (bot_bo844097828e_bool=collect_pname(Pa)<-> (all X_1 (is_pname(X_1)-> -hBOOL(hAPP_pname_bool(Pa,X_1))))).
% 8.10/8.07 all Pa (bot_bo1701429464l_bool=collect_fun_nat_bool(Pa)<-> (all X_1 (-hBOOL(hAPP_f54304608l_bool(Pa,X_1))))).
% 8.10/8.07 all Pa (bot_bo1649642514l_bool=collec1974731493e_bool(Pa)<-> (all X_1 (is_fun_pname_bool(X_1)-> -hBOOL(hAPP_f1664156314l_bool(Pa,X_1))))).
% 8.10/8.07 all Pa (bot_bo1389914601l_bool=collect_fun_a_bool(Pa)<-> (all X_1 (is_fun_a_bool(X_1)-> -hBOOL(hAPP_fun_a_bool_bool(Pa,X_1))))).
% 8.10/8.07 all Pa (bot_bot_fun_a_bool=collect_a(Pa)<-> (all X_1 (is_a(X_1)-> -hBOOL(hAPP_a_bool(Pa,X_1))))).
% 8.10/8.07 all Pa (bot_bot_fun_nat_bool=collect_nat(Pa)<-> (all X_1 (-hBOOL(hAPP_nat_bool(Pa,X_1))))).
% 8.10/8.07 all A_1 ((exists X_1 hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A_1)))<->A_1!=bot_bot_fun_nat_bool).
% 8.10/8.07 all A_1 (is_fun_pname_bool(A_1)-> ((exists X_1 (is_pname(X_1)&hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A_1))))<->A_1!=bot_bo844097828e_bool)).
% 8.10/8.07 all A_1 (is_fun_a_bool(A_1)-> ((exists X_1 (is_a(X_1)&hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A_1))))<->A_1!=bot_bot_fun_a_bool)).
% 8.10/8.07 all A_1 ((all X_1 (-hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A_1))))<->A_1=bot_bot_fun_nat_bool).
% 8.10/8.07 all A_1 (is_fun_pname_bool(A_1)-> ((all X_1 (is_pname(X_1)-> -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A_1))))<->A_1=bot_bo844097828e_bool)).
% 8.10/8.07 all A_1 (is_fun_a_bool(A_1)-> ((all X_1 (is_a(X_1)-> -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A_1))))<->A_1=bot_bot_fun_a_bool)).
% 8.10/8.07 bot_bo844097828e_bool=collect_pname(cOMBK_bool_pname(fFalse)).
% 8.10/8.07 bot_bo1701429464l_bool=collect_fun_nat_bool(cOMBK_1994329625t_bool(fFalse)).
% 8.10/8.07 bot_bo1649642514l_bool=collec1974731493e_bool(cOMBK_1857069011e_bool(fFalse)).
% 8.10/8.07 bot_bo1389914601l_bool=collect_fun_a_bool(cOMBK_324466864a_bool(fFalse)).
% 8.10/8.07 bot_bot_fun_a_bool=collect_a(cOMBK_bool_a(fFalse)).
% 8.10/8.07 bot_bot_fun_nat_bool=collect_nat(cOMBK_bool_nat(fFalse)).
% 8.10/8.07 all X_1 (hBOOL(hAPP_pname_bool(bot_bo844097828e_bool,X_1))<->hBOOL(bot_bot_bool)).
% 8.10/8.07 all X_1 (hBOOL(hAPP_nat_bool(bot_bot_fun_nat_bool,X_1))<->hBOOL(bot_bot_bool)).
% 8.10/8.07 all X_1 (hBOOL(hAPP_a_bool(bot_bot_fun_a_bool,X_1))<->hBOOL(bot_bot_bool)).
% 8.10/8.07 all X_3 (hBOOL(hAPP_pname_bool(bot_bo844097828e_bool,X_3))<->hBOOL(bot_bot_bool)).
% 8.10/8.07 all X_3 (hBOOL(hAPP_nat_bool(bot_bot_fun_nat_bool,X_3))<->hBOOL(bot_bot_bool)).
% 8.10/8.07 all X_3 (hBOOL(hAPP_a_bool(bot_bot_fun_a_bool,X_3))<->hBOOL(bot_bot_bool)).
% 8.10/8.07 all A_3 (is_fun_pname_bool(A_3)-> (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_3),bot_bo844097828e_bool))->A_3=bot_bo844097828e_bool)).
% 8.10/8.07 all A_3 (hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,A_3),bot_bot_bool))-> (hBOOL(A_3)<->hBOOL(bot_bot_bool))).
% 8.10/8.07 all A_3 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_3),bot_bot_fun_nat_bool))->A_3=bot_bot_fun_nat_bool).
% 8.10/8.07 all A_3 (is_fun_a_bool(A_3)-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_3),bot_bot_fun_a_bool))->A_3=bot_bot_fun_a_bool)).
% 8.10/8.07 all A_9 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_9),bot_bot_nat))->A_9=bot_bot_nat).
% 8.10/8.07 all A_3 (is_fun_pname_bool(A_3)-> (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_3),bot_bo844097828e_bool))<->A_3=bot_bo844097828e_bool)).
% 8.10/8.07 all A_3 (hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,A_3),bot_bot_bool))<-> (hBOOL(A_3)<->hBOOL(bot_bot_bool))).
% 8.10/8.07 all A_3 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_3),bot_bot_fun_nat_bool))<->A_3=bot_bot_fun_nat_bool).
% 8.10/8.07 all A_3 (is_fun_a_bool(A_3)-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_3),bot_bot_fun_a_bool))<->A_3=bot_bot_fun_a_bool)).
% 8.10/8.07 all A_3 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_3),bot_bot_nat))<->A_3=bot_bot_nat).
% 8.10/8.07 all A_3 hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,bot_bo844097828e_bool),A_3)).
% 8.10/8.07 all A_3 hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,bot_bot_bool),A_3)).
% 8.10/8.07 all A_3 hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,bot_bot_fun_nat_bool),A_3)).
% 8.10/8.07 all A_3 hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,bot_bot_fun_a_bool),A_3)).
% 8.10/8.07 all A_8 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,bot_bot_nat),A_8)).
% 8.10/8.07 all A_3 B_1 (is_pname(A_3)&is_pname(B_1)-> (insert_pname(A_3,bot_bo844097828e_bool)=insert_pname(B_1,bot_bo844097828e_bool)->A_3=B_1)).
% 8.10/8.07 all A_3 B_1 (insert_nat(A_3,bot_bot_fun_nat_bool)=insert_nat(B_1,bot_bot_fun_nat_bool)->A_3=B_1).
% 8.10/8.07 all A_3 B_1 (is_a(A_3)&is_a(B_1)-> (insert_a(A_3,bot_bot_fun_a_bool)=insert_a(B_1,bot_bot_fun_a_bool)->A_3=B_1)).
% 8.10/8.07 all B_1 A_3 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,B_1),insert_nat(A_3,bot_bot_fun_nat_bool)))->B_1=A_3).
% 8.10/8.07 all B_1 A_3 (is_pname(B_1)&is_pname(A_3)-> (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,B_1),insert_pname(A_3,bot_bo844097828e_bool)))->B_1=A_3)).
% 8.10/8.07 all B_1 A_3 (is_a(B_1)&is_a(A_3)-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,B_1),insert_a(A_3,bot_bot_fun_a_bool)))->B_1=A_3)).
% 8.10/8.07 all A_3 B_1 C_1 D (is_pname(A_3)&is_pname(B_1)&is_pname(C_1)&is_pname(D)-> (insert_pname(A_3,insert_pname(B_1,bot_bo844097828e_bool))=insert_pname(C_1,insert_pname(D,bot_bo844097828e_bool))<->A_3=C_1&B_1=D|A_3=D&B_1=C_1)).
% 8.10/8.07 all A_3 B_1 C_1 D (insert_nat(A_3,insert_nat(B_1,bot_bot_fun_nat_bool))=insert_nat(C_1,insert_nat(D,bot_bot_fun_nat_bool))<->A_3=C_1&B_1=D|A_3=D&B_1=C_1).
% 8.10/8.07 all A_3 B_1 C_1 D (is_a(A_3)&is_a(B_1)&is_a(C_1)&is_a(D)-> (insert_a(A_3,insert_a(B_1,bot_bot_fun_a_bool))=insert_a(C_1,insert_a(D,bot_bot_fun_a_bool))<->A_3=C_1&B_1=D|A_3=D&B_1=C_1)).
% 8.10/8.07 all B_1 A_3 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,B_1),insert_nat(A_3,bot_bot_fun_nat_bool)))<->B_1=A_3).
% 8.10/8.07 all B_1 A_3 (is_pname(B_1)&is_pname(A_3)-> (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,B_1),insert_pname(A_3,bot_bo844097828e_bool)))<->B_1=A_3)).
% 8.10/8.07 all B_1 A_3 (is_a(B_1)&is_a(A_3)-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,B_1),insert_a(A_3,bot_bot_fun_a_bool)))<->B_1=A_3)).
% 8.10/8.07 all A_3 A_1 (insert_pname(A_3,A_1)!=bot_bo844097828e_bool).
% 8.10/8.07 all A_3 A_1 (insert_nat(A_3,A_1)!=bot_bot_fun_nat_bool).
% 8.10/8.07 all A_3 A_1 (insert_a(A_3,A_1)!=bot_bot_fun_a_bool).
% 8.10/8.07 all A_3 A_1 (bot_bo844097828e_bool!=insert_pname(A_3,A_1)).
% 8.10/8.07 all A_3 A_1 (bot_bot_fun_nat_bool!=insert_nat(A_3,A_1)).
% 8.10/8.07 all A_3 A_1 (bot_bot_fun_a_bool!=insert_a(A_3,A_1)).
% 8.10/8.07 all A_1 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_1),bot_bot_fun_nat_bool))<->A_1=bot_bot_fun_nat_bool).
% 8.10/8.07 all A_1 (is_fun_pname_bool(A_1)-> (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),bot_bo844097828e_bool))<->A_1=bot_bo844097828e_bool)).
% 8.10/8.07 all A_1 (is_fun_a_bool(A_1)-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),bot_bot_fun_a_bool))<->A_1=bot_bot_fun_a_bool)).
% 8.10/8.07 all F A_1 (is_fun_pname_bool(A_1)-> (image_pname_a(F,A_1)=bot_bot_fun_a_bool<->A_1=bot_bo844097828e_bool)).
% 8.10/8.07 all F (image_pname_a(F,bot_bo844097828e_bool)=bot_bot_fun_a_bool).
% 8.10/8.07 all F A_1 (is_fun_pname_bool(A_1)-> (bot_bot_fun_a_bool=image_pname_a(F,A_1)<->A_1=bot_bo844097828e_bool)).
% 8.10/8.07 all Pa A_3 ((hBOOL(hAPP_nat_bool(Pa,A_3))->collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fe_qual_nat),A_3)),Pa))=insert_nat(A_3,bot_bot_fun_nat_bool))& (-hBOOL(hAPP_nat_bool(Pa,A_3))->collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fe_qual_nat),A_3)),Pa))=bot_bot_fun_nat_bool)).
% 8.10/8.07 all Pa A_3 ((hBOOL(hAPP_pname_bool(Pa,A_3))->collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fe_qual_pname),A_3)),Pa))=insert_pname(A_3,bot_bo844097828e_bool))& (-hBOOL(hAPP_pname_bool(Pa,A_3))->collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fe_qual_pname),A_3)),Pa))=bot_bo844097828e_bool)).
% 8.10/8.07 all Pa A_3 ((hBOOL(hAPP_a_bool(Pa,A_3))->collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fe_qual_a),A_3)),Pa))=insert_a(A_3,bot_bot_fun_a_bool))& (-hBOOL(hAPP_a_bool(Pa,A_3))->collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fe_qual_a),A_3)),Pa))=bot_bot_fun_a_bool)).
% 8.10/8.07 all Pa A_3 ((hBOOL(hAPP_f54304608l_bool(Pa,A_3))->collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fconj,hAPP_f103356543l_bool(cOMBC_1693257480l_bool(fe_qual_fun_nat_bool),A_3)),Pa))=insert_fun_nat_bool(A_3,bot_bo1701429464l_bool))& (-hBOOL(hAPP_f54304608l_bool(Pa,A_3))->collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fconj,hAPP_f103356543l_bool(cOMBC_1693257480l_bool(fe_qual_fun_nat_bool),A_3)),Pa))=bot_bo1701429464l_bool)).
% 8.10/8.07 all Pa A_3 ((hBOOL(hAPP_f1664156314l_bool(Pa,A_3))->collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fe_qual533582459e_bool),A_3)),Pa))=insert1325755072e_bool(A_3,bot_bo1649642514l_bool))& (-hBOOL(hAPP_f1664156314l_bool(Pa,A_3))->collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fe_qual533582459e_bool),A_3)),Pa))=bot_bo1649642514l_bool)).
% 8.10/8.07 all Pa A_3 ((hBOOL(hAPP_fun_a_bool_bool(Pa,A_3))->collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fconj,hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fe_qual_fun_a_bool),A_3)),Pa))=insert_fun_a_bool(A_3,bot_bo1389914601l_bool))& (-hBOOL(hAPP_fun_a_bool_bool(Pa,A_3))->collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fconj,hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fe_qual_fun_a_bool),A_3)),Pa))=bot_bo1389914601l_bool)).
% 8.10/8.07 all Pa A_3 ((hBOOL(hAPP_nat_bool(Pa,A_3))->collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_n1699378549t_bool(fe_qual_nat,A_3)),Pa))=insert_nat(A_3,bot_bot_fun_nat_bool))& (-hBOOL(hAPP_nat_bool(Pa,A_3))->collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_n1699378549t_bool(fe_qual_nat,A_3)),Pa))=bot_bot_fun_nat_bool)).
% 8.10/8.07 all Pa A_3 ((hBOOL(hAPP_pname_bool(Pa,A_3))->collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(fe_qual_pname,A_3)),Pa))=insert_pname(A_3,bot_bo844097828e_bool))& (-hBOOL(hAPP_pname_bool(Pa,A_3))->collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(fe_qual_pname,A_3)),Pa))=bot_bo844097828e_bool)).
% 8.10/8.07 all Pa A_3 ((hBOOL(hAPP_a_bool(Pa,A_3))->collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_a_fun_a_bool(fe_qual_a,A_3)),Pa))=insert_a(A_3,bot_bot_fun_a_bool))& (-hBOOL(hAPP_a_bool(Pa,A_3))->collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_a_fun_a_bool(fe_qual_a,A_3)),Pa))=bot_bot_fun_a_bool)).
% 8.10/8.07 all Pa A_3 ((hBOOL(hAPP_f54304608l_bool(Pa,A_3))->collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fconj,hAPP_f103356543l_bool(fe_qual_fun_nat_bool,A_3)),Pa))=insert_fun_nat_bool(A_3,bot_bo1701429464l_bool))& (-hBOOL(hAPP_f54304608l_bool(Pa,A_3))->collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fconj,hAPP_f103356543l_bool(fe_qual_fun_nat_bool,A_3)),Pa))=bot_bo1701429464l_bool)).
% 8.10/8.07 all Pa A_3 ((hBOOL(hAPP_f1664156314l_bool(Pa,A_3))->collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(fe_qual533582459e_bool,A_3)),Pa))=insert1325755072e_bool(A_3,bot_bo1649642514l_bool))& (-hBOOL(hAPP_f1664156314l_bool(Pa,A_3))->collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(fe_qual533582459e_bool,A_3)),Pa))=bot_bo1649642514l_bool)).
% 8.10/8.07 all Pa A_3 ((hBOOL(hAPP_fun_a_bool_bool(Pa,A_3))->collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fconj,hAPP_f1631501043l_bool(fe_qual_fun_a_bool,A_3)),Pa))=insert_fun_a_bool(A_3,bot_bo1389914601l_bool))& (-hBOOL(hAPP_fun_a_bool_bool(Pa,A_3))->collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fconj,hAPP_f1631501043l_bool(fe_qual_fun_a_bool,A_3)),Pa))=bot_bo1389914601l_bool)).
% 8.10/8.07 all A_3 (collect_nat(hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fe_qual_nat),A_3))=insert_nat(A_3,bot_bot_fun_nat_bool)).
% 8.10/8.07 all A_3 (collect_pname(hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fe_qual_pname),A_3))=insert_pname(A_3,bot_bo844097828e_bool)).
% 8.10/8.07 all A_3 (collect_a(hAPP_a_fun_a_bool(cOMBC_a_a_bool(fe_qual_a),A_3))=insert_a(A_3,bot_bot_fun_a_bool)).
% 8.10/8.07 all A_3 (collect_fun_nat_bool(hAPP_f103356543l_bool(cOMBC_1693257480l_bool(fe_qual_fun_nat_bool),A_3))=insert_fun_nat_bool(A_3,bot_bo1701429464l_bool)).
% 8.10/8.07 all A_3 (collec1974731493e_bool(hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fe_qual533582459e_bool),A_3))=insert1325755072e_bool(A_3,bot_bo1649642514l_bool)).
% 8.10/8.07 all A_3 (collect_fun_a_bool(hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fe_qual_fun_a_bool),A_3))=insert_fun_a_bool(A_3,bot_bo1389914601l_bool)).
% 8.10/8.07 all A_3 (collect_nat(hAPP_n1699378549t_bool(fe_qual_nat,A_3))=insert_nat(A_3,bot_bot_fun_nat_bool)).
% 8.10/8.07 all A_3 (collect_pname(hAPP_p61793385e_bool(fe_qual_pname,A_3))=insert_pname(A_3,bot_bo844097828e_bool)).
% 8.10/8.07 all A_3 (collect_a(hAPP_a_fun_a_bool(fe_qual_a,A_3))=insert_a(A_3,bot_bot_fun_a_bool)).
% 8.10/8.07 all A_3 (collect_fun_nat_bool(hAPP_f103356543l_bool(fe_qual_fun_nat_bool,A_3))=insert_fun_nat_bool(A_3,bot_bo1701429464l_bool)).
% 8.10/8.07 all A_3 (collec1974731493e_bool(hAPP_f434788991l_bool(fe_qual533582459e_bool,A_3))=insert1325755072e_bool(A_3,bot_bo1649642514l_bool)).
% 8.10/8.07 all A_3 (collect_fun_a_bool(hAPP_f1631501043l_bool(fe_qual_fun_a_bool,A_3))=insert_fun_a_bool(A_3,bot_bo1389914601l_bool)).
% 8.10/8.07 all A_1 X_3 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_1),insert_nat(X_3,bot_bot_fun_nat_bool)))->A_1=bot_bot_fun_nat_bool|A_1=insert_nat(X_3,bot_bot_fun_nat_bool)).
% 8.10/8.07 all A_1 X_3 (is_fun_pname_bool(A_1)-> (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),insert_pname(X_3,bot_bo844097828e_bool)))->A_1=bot_bo844097828e_bool|A_1=insert_pname(X_3,bot_bo844097828e_bool))).
% 8.10/8.07 all A_1 X_3 (is_fun_a_bool(A_1)-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),insert_a(X_3,bot_bot_fun_a_bool)))->A_1=bot_bot_fun_a_bool|A_1=insert_a(X_3,bot_bot_fun_a_bool))).
% 8.10/8.07 all C_1 X_3 A_1 (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_3),A_1))->image_pname_a(cOMBK_a_pname(C_1),A_1)=insert_a(C_1,bot_bot_fun_a_bool)).
% 8.10/8.07 all C_1 A_1 (is_fun_pname_bool(A_1)-> (A_1=bot_bo844097828e_bool->image_pname_a(cOMBK_a_pname(C_1),A_1)=bot_bot_fun_a_bool)& (A_1!=bot_bo844097828e_bool->image_pname_a(cOMBK_a_pname(C_1),A_1)=insert_a(C_1,bot_bot_fun_a_bool))).
% 8.10/8.07 all X_9 Y_8 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_9),Y_8))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_8),X_9))).
% 8.10/8.07 all Z_1 Y_2 X_3 (hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,Y_2),X_3))-> (hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,Z_1),Y_2))->hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,Z_1),X_3)))).
% 8.10/8.07 all Z_1 Y_2 X_3 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Y_2),X_3))-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Z_1),Y_2))->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Z_1),X_3)))).
% 8.10/8.07 all Z_1 Y_2 X_3 (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,Y_2),X_3))-> (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,Z_1),Y_2))->hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,Z_1),X_3)))).
% 8.10/8.07 all Z_3 Y_7 X_8 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_7),X_8))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Z_3),Y_7))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Z_3),X_8)))).
% 8.10/8.07 all Z_1 Y_2 X_3 (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,Y_2),X_3))-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,Z_1),Y_2))->hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,Z_1),X_3)))).
% 8.10/8.07 all Y_2 X_3 (hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,Y_2),X_3))-> (hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,X_3),Y_2))-> (hBOOL(X_3)<->hBOOL(Y_2)))).
% 8.10/8.07 all Y_2 X_3 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Y_2),X_3))-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_3),Y_2))->X_3=Y_2)).
% 8.10/8.07 all Y_2 X_3 (is_fun_pname_bool(Y_2)&is_fun_pname_bool(X_3)-> (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,Y_2),X_3))-> (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X_3),Y_2))->X_3=Y_2))).
% 8.10/8.07 all Y_6 X_7 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_6),X_7))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_7),Y_6))->X_7=Y_6)).
% 8.10/8.07 all Y_2 X_3 (is_fun_a_bool(Y_2)&is_fun_a_bool(X_3)-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,Y_2),X_3))-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X_3),Y_2))->X_3=Y_2))).
% 8.10/8.07 all Z_1 X_3 Y_2 (hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,X_3),Y_2))-> (hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,Y_2),Z_1))->hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,X_3),Z_1)))).
% 8.10/8.07 all Z_1 X_3 Y_2 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_3),Y_2))-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Y_2),Z_1))->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_3),Z_1)))).
% 8.10/8.07 all Z_1 X_3 Y_2 (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X_3),Y_2))-> (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,Y_2),Z_1))->hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X_3),Z_1)))).
% 8.10/8.07 all Z_2 X_6 Y_5 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_6),Y_5))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_5),Z_2))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_6),Z_2)))).
% 8.10/8.07 all Z_1 X_3 Y_2 (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X_3),Y_2))-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,Y_2),Z_1))->hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X_3),Z_1)))).
% 8.10/8.07 all X_3 Y_2 (hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,X_3),Y_2))-> (hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,Y_2),X_3))-> (hBOOL(X_3)<->hBOOL(Y_2)))).
% 8.10/8.07 all X_3 Y_2 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_3),Y_2))-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Y_2),X_3))->X_3=Y_2)).
% 8.10/8.07 all X_3 Y_2 (is_fun_pname_bool(X_3)&is_fun_pname_bool(Y_2)-> (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X_3),Y_2))-> (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,Y_2),X_3))->X_3=Y_2))).
% 8.10/8.07 all X_5 Y_4 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_5),Y_4))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_4),X_5))->X_5=Y_4)).
% 8.10/8.07 all X_3 Y_2 (is_fun_a_bool(X_3)&is_fun_a_bool(Y_2)-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X_3),Y_2))-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,Y_2),X_3))->X_3=Y_2))).
% 8.10/8.07 all C_1 B_1 A_3 (hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,B_1),A_3))-> ((hBOOL(B_1)<->hBOOL(C_1))->hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,C_1),A_3)))).
% 8.10/8.07 all C_1 B_1 A_3 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_1),A_3))-> (B_1=C_1->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,C_1),A_3)))).
% 8.10/8.07 all C_1 B_1 A_3 (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_1),A_3))-> (B_1=C_1->hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,C_1),A_3)))).
% 8.10/8.07 all C_5 B_5 A_7 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_5),A_7))-> (B_5=C_5->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_5),A_7)))).
% 8.10/8.07 all C_1 B_1 A_3 (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_1),A_3))-> (B_1=C_1->hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,C_1),A_3)))).
% 8.10/8.07 all C_1 A_3 B_1 (hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,A_3),B_1))-> ((hBOOL(B_1)<->hBOOL(C_1))->hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,A_3),C_1)))).
% 8.10/8.07 all C_1 A_3 B_1 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_3),B_1))-> (B_1=C_1->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_3),C_1)))).
% 8.10/8.07 all C_1 A_3 B_1 (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_3),B_1))-> (B_1=C_1->hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_3),C_1)))).
% 8.10/8.07 all C_4 A_6 B_4 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_6),B_4))-> (B_4=C_4->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_6),C_4)))).
% 8.10/8.07 all C_1 A_3 B_1 (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_3),B_1))-> (B_1=C_1->hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_3),C_1)))).
% 8.10/8.07 all C_1 B_1 A_3 ((hBOOL(A_3)<->hBOOL(B_1))-> (hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,C_1),B_1))->hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,C_1),A_3)))).
% 8.10/8.07 all C_1 A_3 B_1 (A_3=B_1-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,C_1),B_1))->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,C_1),A_3)))).
% 8.10/8.07 all C_1 A_3 B_1 (A_3=B_1-> (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,C_1),B_1))->hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,C_1),A_3)))).
% 8.10/8.07 all C_3 A_5 B_3 (A_5=B_3-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_3),B_3))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_3),A_5)))).
% 8.10/8.07 all C_1 A_3 B_1 (A_3=B_1-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,C_1),B_1))->hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,C_1),A_3)))).
% 8.10/8.07 all C_1 B_1 A_3 ((hBOOL(A_3)<->hBOOL(B_1))-> (hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,B_1),C_1))->hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,A_3),C_1)))).
% 8.10/8.07 all C_1 A_3 B_1 (A_3=B_1-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_1),C_1))->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_3),C_1)))).
% 8.10/8.07 all C_1 A_3 B_1 (A_3=B_1-> (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_1),C_1))->hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_3),C_1)))).
% 8.10/8.07 all C_2 A_4 B_2 (A_4=B_2-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_2),C_2))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_4),C_2)))).
% 8.10/8.07 all C_1 A_3 B_1 (A_3=B_1-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_1),C_1))->hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_3),C_1)))).
% 8.10/8.07 all Y_2 X_3 (hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,Y_2),X_3))-> (hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,X_3),Y_2))<-> (hBOOL(X_3)<->hBOOL(Y_2)))).
% 8.10/8.07 all Y_2 X_3 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Y_2),X_3))-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_3),Y_2))<->X_3=Y_2)).
% 8.10/8.07 all Y_2 X_3 (is_fun_pname_bool(Y_2)&is_fun_pname_bool(X_3)-> (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,Y_2),X_3))-> (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X_3),Y_2))<->X_3=Y_2))).
% 8.10/8.07 all Y_2 X_3 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_2),X_3))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_3),Y_2))<->X_3=Y_2)).
% 8.10/8.07 all Y_2 X_3 (is_fun_a_bool(Y_2)&is_fun_a_bool(X_3)-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,Y_2),X_3))-> (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X_3),Y_2))<->X_3=Y_2))).
% 8.10/8.07 all Y_2 X_3 ((hBOOL(X_3)<->hBOOL(Y_2))->hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,X_3),Y_2))).
% 8.10/8.07 all X_3 Y_2 (X_3=Y_2->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_3),Y_2))).
% 8.10/8.07 all X_3 Y_2 (X_3=Y_2->hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X_3),Y_2))).
% 8.10/8.07 all X_4 Y_3 (X_4=Y_3->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_4),Y_3))).
% 8.10/8.07 all X_3 Y_2 (X_3=Y_2->hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X_3),Y_2))).
% 8.10/8.07 all Y_2 X_3 ((hBOOL(X_3)<->hBOOL(Y_2))<->hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,X_3),Y_2))&hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,Y_2),X_3))).
% 8.10/8.07 all X_3 Y_2 (X_3=Y_2<->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_3),Y_2))&hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Y_2),X_3))).
% 8.10/8.07 all X_3 Y_2 (is_fun_pname_bool(X_3)&is_fun_pname_bool(Y_2)-> (X_3=Y_2<->hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X_3),Y_2))&hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,Y_2),X_3)))).
% 8.10/8.07 all X_3 Y_2 (X_3=Y_2<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_3),Y_2))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_2),X_3))).
% 8.10/8.07 all X_3 Y_2 (is_fun_a_bool(X_3)&is_fun_a_bool(Y_2)-> (X_3=Y_2<->hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X_3),Y_2))&hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,Y_2),X_3)))).
% 8.10/8.07 all X_2 Y_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_2),Y_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_1),X_2))).
% 8.10/8.07 all Pa A_1 F_1 (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,F_1))-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,F_1),A_1))-> (hBOOL(hAPP_f54304608l_bool(Pa,bot_bot_fun_nat_bool))-> ((all A_2 F_2 (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,F_2))-> (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_2),A_1))-> (-hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_2),F_2))-> (hBOOL(hAPP_f54304608l_bool(Pa,F_2))->hBOOL(hAPP_f54304608l_bool(Pa,insert_nat(A_2,F_2))))))))->hBOOL(hAPP_f54304608l_bool(Pa,F_1)))))).
% 8.10/8.07 all Pa A_1 F_1 (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1))-> (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,F_1),A_1))-> (hBOOL(hAPP_f1664156314l_bool(Pa,bot_bo844097828e_bool))-> ((all A_2 F_2 (is_pname(A_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,A_2),A_1))-> (-hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_2),F_2))-> (hBOOL(hAPP_f1664156314l_bool(Pa,F_2))->hBOOL(hAPP_f1664156314l_bool(Pa,insert_pname(A_2,F_2)))))))))->hBOOL(hAPP_f1664156314l_bool(Pa,F_1)))))).
% 8.10/8.07 all Pa A_1 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_1))-> (hBOOL(hAPP_fun_a_bool_bool(Pa,bot_bot_fun_a_bool))-> ((all A_2 F_2 (is_a(A_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,A_2),A_1))-> (-hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_2),F_2))-> (hBOOL(hAPP_fun_a_bool_bool(Pa,F_2))->hBOOL(hAPP_fun_a_bool_bool(Pa,insert_a(A_2,F_2)))))))))->hBOOL(hAPP_fun_a_bool_bool(Pa,F_1)))))).
% 8.10/8.07 all Pa A_1 F_1 (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,F_1))-> (hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,F_1),A_1))-> (hBOOL(hAPP_f1637334154l_bool(Pa,bot_bo1701429464l_bool))-> ((all A_2 F_2 (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,F_2))-> (hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,A_2),A_1))-> (-hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,A_2),F_2))-> (hBOOL(hAPP_f1637334154l_bool(Pa,F_2))->hBOOL(hAPP_f1637334154l_bool(Pa,insert_fun_nat_bool(A_2,F_2))))))))->hBOOL(hAPP_f1637334154l_bool(Pa,F_1)))))).
% 8.10/8.07 all Pa A_1 F_1 (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,F_1))-> (hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,F_1),A_1))-> (hBOOL(hAPP_f1935102916l_bool(Pa,bot_bo1649642514l_bool))-> ((all A_2 F_2 (is_fun_pname_bool(A_2)&is_fun1661590463l_bool(F_2)-> (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,F_2))-> (hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,A_2),A_1))-> (-hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,A_2),F_2))-> (hBOOL(hAPP_f1935102916l_bool(Pa,F_2))->hBOOL(hAPP_f1935102916l_bool(Pa,insert1325755072e_bool(A_2,F_2)))))))))->hBOOL(hAPP_f1935102916l_bool(Pa,F_1)))))).
% 8.10/8.07 all Pa A_1 F_1 (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,F_1))-> (hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,F_1),A_1))-> (hBOOL(hAPP_f621171935l_bool(Pa,bot_bo1389914601l_bool))-> ((all A_2 F_2 (is_fun_a_bool(A_2)&is_fun949378684l_bool(F_2)-> (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,F_2))-> (hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool,A_2),A_1))-> (-hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool,A_2),F_2))-> (hBOOL(hAPP_f621171935l_bool(Pa,F_2))->hBOOL(hAPP_f621171935l_bool(Pa,insert_fun_a_bool(A_2,F_2)))))))))->hBOOL(hAPP_f621171935l_bool(Pa,F_1)))))).
% 8.10/8.07 all Pn G (hBOOL(hAPP_fun_a_bool_bool(p(insert_a(hAPP_pname_a(mgt_call,Pn),G)),insert_a(mgt(the_com(body(Pn))),bot_bot_fun_a_bool)))->hBOOL(hAPP_fun_a_bool_bool(p(G),insert_a(hAPP_pname_a(mgt_call,Pn),bot_bot_fun_a_bool)))).
% 8.10/8.07 all Pa F_1 (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,F_1))-> (hBOOL(hAPP_f1637334154l_bool(Pa,bot_bo1701429464l_bool))-> ((all X_1 F_2 (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,F_2))-> (-hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,X_1),F_2))-> (hBOOL(hAPP_f1637334154l_bool(Pa,F_2))->hBOOL(hAPP_f1637334154l_bool(Pa,insert_fun_nat_bool(X_1,F_2)))))))->hBOOL(hAPP_f1637334154l_bool(Pa,F_1))))).
% 8.10/8.07 all Pa F_1 (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,F_1))-> (hBOOL(hAPP_f1935102916l_bool(Pa,bot_bo1649642514l_bool))-> ((all X_1 F_2 (is_fun_pname_bool(X_1)&is_fun1661590463l_bool(F_2)-> (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,F_2))-> (-hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X_1),F_2))-> (hBOOL(hAPP_f1935102916l_bool(Pa,F_2))->hBOOL(hAPP_f1935102916l_bool(Pa,insert1325755072e_bool(X_1,F_2))))))))->hBOOL(hAPP_f1935102916l_bool(Pa,F_1))))).
% 8.10/8.07 all Pa F_1 (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,F_1))-> (hBOOL(hAPP_f621171935l_bool(Pa,bot_bo1389914601l_bool))-> ((all X_1 F_2 (is_fun_a_bool(X_1)&is_fun949378684l_bool(F_2)-> (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,F_2))-> (-hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool,X_1),F_2))-> (hBOOL(hAPP_f621171935l_bool(Pa,F_2))->hBOOL(hAPP_f621171935l_bool(Pa,insert_fun_a_bool(X_1,F_2))))))))->hBOOL(hAPP_f621171935l_bool(Pa,F_1))))).
% 8.10/8.07 all U F ((all N_2 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_2),hAPP_nat_nat(F,N_2))))->hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(cOMBB_800536526ol_nat(ord_less_e_q_nat,F)),U))))).
% 8.10/8.07 all Pn (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,Pn),u))->hBOOL(wt(the_com(body(Pn))))).
% 8.10/8.07 all M N (hAPP_nat_nat(minus_minus_nat(M),hAPP_nat_nat(suc,N))=hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(M),one_one_nat)),N)).
% 8.10/8.07 all N (hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(suc,N)),one_one_nat)=N).
% 8.10/8.07 all M_1 Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,M_1)),Na))<->hBOOL(hAPP_nat_bool(nat_case_bool(fFalse,hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1)),Na))).
% 8.10/8.07 all M N (hAPP_nat_nat(plus_plus_nat(M),hAPP_nat_nat(suc,N))=hAPP_nat_nat(suc,hAPP_nat_nat(plus_plus_nat(M),N))).
% 8.10/8.07 all M N (hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(suc,M)),N)=hAPP_nat_nat(suc,hAPP_nat_nat(plus_plus_nat(M),N))).
% 8.10/8.07 all M N (hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(suc,M)),N)=hAPP_nat_nat(plus_plus_nat(M),hAPP_nat_nat(suc,N))).
% 8.10/8.07 all M_1 K_2 Na (hAPP_nat_nat(plus_plus_nat(M_1),K_2)=hAPP_nat_nat(plus_plus_nat(Na),K_2)<->M_1=Na).
% 8.10/8.07 all K_2 M_1 Na (hAPP_nat_nat(plus_plus_nat(K_2),M_1)=hAPP_nat_nat(plus_plus_nat(K_2),Na)<->M_1=Na).
% 8.10/8.07 all M N K (hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(M),N)),K)=hAPP_nat_nat(plus_plus_nat(M),hAPP_nat_nat(plus_plus_nat(N),K))).
% 8.10/8.07 all X Y Z (hAPP_nat_nat(plus_plus_nat(X),hAPP_nat_nat(plus_plus_nat(Y),Z))=hAPP_nat_nat(plus_plus_nat(Y),hAPP_nat_nat(plus_plus_nat(X),Z))).
% 8.10/8.07 all M N (hAPP_nat_nat(plus_plus_nat(M),N)=hAPP_nat_nat(plus_plus_nat(N),M)).
% 8.10/8.07 all M N (hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(M),N)),N)=M).
% 8.10/8.07 all N M (hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(N),M)),N)=M).
% 8.10/8.07 all I J_2 K (hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(I),J_2)),K)=hAPP_nat_nat(minus_minus_nat(I),hAPP_nat_nat(plus_plus_nat(J_2),K))).
% 8.10/8.07 all K M N (hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(K),M)),hAPP_nat_nat(plus_plus_nat(K),N))=hAPP_nat_nat(minus_minus_nat(M),N)).
% 8.10/8.07 all M K N (hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(M),K)),hAPP_nat_nat(plus_plus_nat(N),K))=hAPP_nat_nat(minus_minus_nat(M),N)).
% 8.10/8.07 all N M hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),hAPP_nat_nat(plus_plus_nat(M),N))).
% 8.10/8.07 all N M hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),hAPP_nat_nat(plus_plus_nat(N),M))).
% 8.10/8.07 all M_1 Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),Na))<-> (exists K_1 (Na=hAPP_nat_nat(plus_plus_nat(M_1),K_1)))).
% 8.10/8.07 all K_2 M_1 Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(K_2),M_1)),hAPP_nat_nat(plus_plus_nat(K_2),Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),Na))).
% 8.10/8.07 all M I J_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),J_2))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),hAPP_nat_nat(plus_plus_nat(J_2),M)))).
% 8.10/8.07 all M I J_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),J_2))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),hAPP_nat_nat(plus_plus_nat(M),J_2)))).
% 8.10/8.07 all K I J_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),J_2))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(I),K)),hAPP_nat_nat(plus_plus_nat(J_2),K)))).
% 8.10/8.07 all K L I J_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),J_2))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),L))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(I),K)),hAPP_nat_nat(plus_plus_nat(J_2),L))))).
% 8.10/8.07 all M K N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(M),K)),N))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),N))).
% 8.10/8.07 all M K N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(M),K)),N))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))).
% 8.10/8.07 all M K N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(M),K)),N))-> -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))-> -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),N)))).
% 8.10/8.07 all I K J_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),J_2))->hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(J_2),I)),K)=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(minus_minus_nat(J_2),K)),I)).
% 8.10/8.07 all I K J_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),J_2))->hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(minus_minus_nat(J_2),K)),I)=hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(J_2),I)),K)).
% 8.10/8.07 all I K J_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),J_2))->hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(I),J_2)),K)=hAPP_nat_nat(plus_plus_nat(I),hAPP_nat_nat(minus_minus_nat(J_2),K))).
% 8.10/8.07 all K_2 I_1 J_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_1),J_1))-> (hAPP_nat_nat(minus_minus_nat(J_1),I_1)=K_2<->J_1=hAPP_nat_nat(plus_plus_nat(K_2),I_1))).
% 8.10/8.07 all N M (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),M))->hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(minus_minus_nat(M),N)),N)=M).
% 8.10/8.07 all I_1 K_2 J_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_2),J_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_1),hAPP_nat_nat(minus_minus_nat(J_1),K_2)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(I_1),K_2)),J_1)))).
% 8.10/8.07 all I K J_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),J_2))->hAPP_nat_nat(plus_plus_nat(I),hAPP_nat_nat(minus_minus_nat(J_2),K))=hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(I),J_2)),K)).
% 8.10/8.07 all N M (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),M))->hAPP_nat_nat(plus_plus_nat(N),hAPP_nat_nat(minus_minus_nat(M),N))=M).
% 8.10/8.07 all M K N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),N))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(N),M)),K)))).
% 8.10/8.07 all J_1 K_2 I_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(minus_minus_nat(J_1),K_2)),I_1))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J_1),hAPP_nat_nat(plus_plus_nat(I_1),K_2)))).
% 8.10/8.07 all I K J_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),J_2))->hAPP_nat_nat(minus_minus_nat(I),hAPP_nat_nat(minus_minus_nat(J_2),K))=hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(I),K)),J_2)).
% 8.10/8.07 all N (hAPP_nat_nat(suc,N)=hAPP_nat_nat(plus_plus_nat(N),one_one_nat)).
% 8.10/8.07 all N (hAPP_nat_nat(suc,N)=hAPP_nat_nat(plus_plus_nat(one_one_nat),N)).
% 8.10/8.07 all M K J_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),J_2))->hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(suc,hAPP_nat_nat(minus_minus_nat(J_2),K))),M)=hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(suc,J_2)),hAPP_nat_nat(plus_plus_nat(K),M))).
% 8.10/8.07 all M K J_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),J_2))->hAPP_nat_nat(minus_minus_nat(M),hAPP_nat_nat(suc,hAPP_nat_nat(minus_minus_nat(J_2),K)))=hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(M),K)),hAPP_nat_nat(suc,J_2))).
% 8.10/8.07 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(plus_plus_nat(Y),Z)))).
% 8.10/8.07 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(plus_plus_nat(Y),Z)))).
% 8.10/8.07 all N hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),hAPP_nat_nat(suc,N))).
% 8.10/8.07 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,M)),hAPP_nat_nat(suc,N)))).
% 8.10/8.07 all K_2 hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_nat),K_2)))).
% 8.10/8.07 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(plus_plus_nat(Y),Z)))).
% 8.10/8.07 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(plus_plus_nat(Y),Z)))).
% 8.10/8.07 all I J_2 K (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(I),J_2)),K))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),K))).
% 8.10/8.07 all M N K L (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,K),L))-> (hAPP_nat_nat(plus_plus_nat(M),L)=hAPP_nat_nat(plus_plus_nat(K),N)->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N)))).
% 8.10/8.07 all K L I J_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J_2))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,K),L))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(I),K)),hAPP_nat_nat(plus_plus_nat(J_2),L))))).
% 8.10/8.07 all K 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(plus_plus_nat(I),K)),hAPP_nat_nat(plus_plus_nat(J_2),K)))).
% 8.10/8.07 all M I J_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J_2))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),hAPP_nat_nat(plus_plus_nat(M),J_2)))).
% 8.10/8.07 all M I J_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J_2))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),hAPP_nat_nat(plus_plus_nat(J_2),M)))).
% 8.10/8.07 all K_2 M_1 Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(K_2),M_1)),hAPP_nat_nat(plus_plus_nat(K_2),Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),Na))).
% 8.10/8.07 all J_2 I (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(J_2),I)),I))).
% 8.10/8.07 all I J_2 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(I),J_2)),I))).
% 8.10/8.07 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,M)),hAPP_nat_nat(suc,N)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))).
% 8.10/8.07 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,M)),N))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))).
% 8.10/8.07 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),hAPP_nat_nat(suc,N)))-> (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))->M=N)).
% 8.10/8.07 all K I J_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J_2))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J_2),K))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,I)),K)))).
% 8.10/8.07 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))-> (hAPP_nat_nat(suc,M)!=N->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,M)),N)))).
% 8.10/8.07 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),hAPP_nat_nat(suc,N)))).
% 8.10/8.07 all N M (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),M))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),hAPP_nat_nat(suc,M)))->M=N)).
% 8.10/8.07 all Na M_1 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),M_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),hAPP_nat_nat(suc,M_1)))<->Na=M_1)).
% 8.10/8.07 all M_1 Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,M_1)),hAPP_nat_nat(suc,Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),Na))).
% 8.10/8.07 all M_1 Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),hAPP_nat_nat(suc,Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),Na))|M_1=Na).
% 8.10/8.07 all M_1 Na (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),Na))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),hAPP_nat_nat(suc,M_1)))).
% 8.10/8.07 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))|M=N->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))).
% 8.10/8.07 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))-> (M!=N->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N)))).
% 8.10/8.07 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))).
% 8.10/8.07 all M_1 Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),Na))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),Na))|M_1=Na).
% 8.10/8.07 all M_1 Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),Na))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),Na))&M_1!=Na).
% 8.10/8.07 all L M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),L))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(L),N)),hAPP_nat_nat(minus_minus_nat(L),M))))).
% 8.10/8.07 all N J_2 K (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J_2),K))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(J_2),N)),K))).
% 8.10/8.07 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))).
% 8.10/8.07 all N (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),N))).
% 8.10/8.07 all M_1 Na (M_1!=Na<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),Na))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),M_1))).
% 8.10/8.07 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)))).
% 8.10/8.07 all N (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),N))).
% 8.10/8.07 all N M (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),M))->M!=N).
% 8.10/8.07 all S T (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,S),T))->S!=T).
% 8.10/8.07 all Pa M_1 Na ((hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),Na))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(Pa,Na),M_1)))-> ((M_1=Na->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(Pa,Na),M_1)))-> ((hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),M_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(Pa,Na),M_1)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(Pa,Na),M_1))))).
% 8.10/8.08 all N_1 (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,N_1))<-> (exists M_2 all X_1 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),M_2))))).
% 8.10/8.08 all Na (hAPP_f22106695ol_nat(finite_card_nat,collect_nat(hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_nat),Na)))=Na).
% 8.10/8.08 all Pa I_1 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_1))))).
% 8.10/8.08 all I M hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),hAPP_nat_nat(suc,hAPP_nat_nat(plus_plus_nat(I),M)))).
% 8.10/8.08 all I M hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),hAPP_nat_nat(suc,hAPP_nat_nat(plus_plus_nat(M),I)))).
% 8.10/8.08 all M_1 Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),Na))<-> (exists K_1 (Na=hAPP_nat_nat(suc,hAPP_nat_nat(plus_plus_nat(M_1),K_1))))).
% 8.10/8.08 all Na M_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),M_1))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,Na)),M_1))).
% 8.10/8.08 all M_1 Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),hAPP_nat_nat(suc,Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),Na))).
% 8.10/8.08 all M_1 Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,M_1)),Na))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),Na))).
% 8.10/8.08 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),hAPP_nat_nat(suc,N)))).
% 8.10/8.08 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,M)),N))).
% 8.10/8.08 all M_1 Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),Na))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),hAPP_nat_nat(suc,M_1)))<->Na=M_1)).
% 8.10/8.08 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,M)),N))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))).
% 8.10/8.08 all M N hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(M),N)),hAPP_nat_nat(suc,M))).
% 8.10/8.08 all M N (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))->hAPP_nat_nat(plus_plus_nat(N),hAPP_nat_nat(minus_minus_nat(M),N))=M).
% 8.10/8.08 all I_1 J_1 K_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),hAPP_nat_nat(minus_minus_nat(J_1),K_2)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(I_1),K_2)),J_1))).
% 8.10/8.08 all C A B (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C),A))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(A),C)),hAPP_nat_nat(minus_minus_nat(B),C))))).
% 8.10/8.08 all Na K_2 M_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_2),M_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_2),Na))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(M_1),K_2)),hAPP_nat_nat(minus_minus_nat(Na),K_2)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),Na))))).
% 8.10/8.08 all X_1 (hAPP_n1699378549t_bool(ord_less_nat,X_1)=hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,X_1))).
% 8.10/8.08 all M_1 K_2 F ((all M_2 N_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_2),N_2))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(F,M_2)),hAPP_nat_nat(F,N_2)))))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(F,M_1)),K_2)),hAPP_nat_nat(F,hAPP_nat_nat(plus_plus_nat(M_1),K_2))))).
% 8.10/8.08 all Pa I_1 J_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_1),J_1))-> (hBOOL(hAPP_nat_bool(Pa,J_1))-> ((all I_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),J_1))-> (hBOOL(hAPP_nat_bool(Pa,hAPP_nat_nat(suc,I_2)))->hBOOL(hAPP_nat_bool(Pa,I_2)))))->hBOOL(hAPP_nat_bool(Pa,I_1))))).
% 8.10/8.08 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))-> (exists K_1 (N=hAPP_nat_nat(suc,hAPP_nat_nat(plus_plus_nat(M),K_1))))).
% 8.10/8.08 all Na N_1 ((all X_1 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Na))))->hBOOL(hAPP_f54304608l_bool(finite_finite_nat,N_1))).
% 8.10/8.08 all I_1 J_1 F ((all I_2 J (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),J))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(F,I_2)),hAPP_nat_nat(F,J)))))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_1),J_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(F,I_1)),hAPP_nat_nat(F,J_1))))).
% 8.10/8.08 all I K (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,I)),K))-> -(all J (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J))->K!=hAPP_nat_nat(suc,J)))).
% 8.10/8.08 all I K (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),K))-> (K!=hAPP_nat_nat(suc,I)-> -(all J (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J))->K!=hAPP_nat_nat(suc,J))))).
% 8.10/8.08 all N (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),zero_zero_nat))).
% 8.10/8.08 all N hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),N)).
% 8.10/8.08 all N hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(suc,N))).
% 8.10/8.08 all M_1 Na (hAPP_nat_nat(plus_plus_nat(M_1),Na)=hAPP_nat_nat(suc,zero_zero_nat)<->M_1=hAPP_nat_nat(suc,zero_zero_nat)&Na=zero_zero_nat|M_1=zero_zero_nat&Na=hAPP_nat_nat(suc,zero_zero_nat)).
% 8.10/8.08 all M_1 Na (hAPP_nat_nat(suc,zero_zero_nat)=hAPP_nat_nat(plus_plus_nat(M_1),Na)<->M_1=hAPP_nat_nat(suc,zero_zero_nat)&Na=zero_zero_nat|M_1=zero_zero_nat&Na=hAPP_nat_nat(suc,zero_zero_nat)).
% 8.10/8.08 all N M (hAPP_nat_nat(minus_minus_nat(N),hAPP_nat_nat(plus_plus_nat(N),M))=zero_zero_nat).
% 8.10/8.08 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))->hAPP_nat_nat(minus_minus_nat(M),N)=zero_zero_nat).
% 8.10/8.08 all M_1 Na (hAPP_nat_nat(minus_minus_nat(M_1),Na)=zero_zero_nat<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),Na))).
% 8.10/8.08 one_one_nat=hAPP_nat_nat(suc,zero_zero_nat).
% 8.10/8.08 all M N (hAPP_nat_nat(minus_minus_nat(M),N)=zero_zero_nat-> (hAPP_nat_nat(minus_minus_nat(N),M)=zero_zero_nat->M=N)).
% 8.10/8.08 all M (hAPP_nat_nat(minus_minus_nat(M),M)=zero_zero_nat).
% 8.10/8.08 all M (hAPP_nat_nat(minus_minus_nat(M),zero_zero_nat)=M).
% 8.10/8.08 all N (hAPP_nat_nat(minus_minus_nat(zero_zero_nat),N)=zero_zero_nat).
% 8.10/8.08 all M (hAPP_nat_nat(suc,M)!=zero_zero_nat).
% 8.10/8.08 all M (zero_zero_nat!=hAPP_nat_nat(suc,M)).
% 8.10/8.08 all Nat_1 (hAPP_nat_nat(suc,Nat_1)!=zero_zero_nat).
% 8.10/8.08 all M (hAPP_nat_nat(suc,M)!=zero_zero_nat).
% 8.10/8.08 all Nat (zero_zero_nat!=hAPP_nat_nat(suc,Nat)).
% 8.10/8.08 all M (zero_zero_nat!=hAPP_nat_nat(suc,M)).
% 8.10/8.08 bot_bot_nat=zero_zero_nat.
% 8.10/8.08 all Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Na),zero_zero_nat))<->Na=zero_zero_nat).
% 8.10/8.08 all N hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),N)).
% 8.10/8.08 all P (-hBOOL(hAPP_bool_bool(fNot,P))| -hBOOL(P)).
% 8.10/8.08 all P (hBOOL(P)|hBOOL(hAPP_bool_bool(fNot,P))).
% 8.10/8.08 all Q P (-hBOOL(P)| -hBOOL(Q)|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,P),Q))).
% 8.10/8.08 all P Q (-hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,P),Q))|hBOOL(P)).
% 8.10/8.08 all P Q (-hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,P),Q))|hBOOL(Q)).
% 8.10/8.08 all Q P (-hBOOL(P)|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,P),Q))).
% 8.10/8.08 all P Q (-hBOOL(Q)|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,P),Q))).
% 8.10/8.08 all P Q (-hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,P),Q))|hBOOL(P)|hBOOL(Q)).
% 8.10/8.08 -hBOOL(fFalse).
% 8.10/8.08 all P (is_bool(P)->P=fTrue|P=fFalse).
% 8.10/8.08 all Q P (hBOOL(P)|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,P),Q))).
% 8.10/8.08 all P Q (-hBOOL(Q)|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,P),Q))).
% 8.10/8.08 all P Q (-hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,P),Q))| -hBOOL(P)|hBOOL(Q)).
% 8.10/8.08 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).
% 8.10/8.08 all X Y (X!=Y|hBOOL(hAPP_a_bool(hAPP_a_fun_a_bool(fe_qual_a,X),Y))).
% 8.10/8.08 all X Y (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fe_qual_nat,X),Y))|X=Y).
% 8.10/8.08 all X Y (X!=Y|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fe_qual_nat,X),Y))).
% 8.10/8.08 all X Y (is_pname(X)&is_pname(Y)-> -hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fe_qual_pname,X),Y))|X=Y).
% 8.10/8.08 all X Y (X!=Y|hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fe_qual_pname,X),Y))).
% 8.10/8.08 all P Q (is_bool(P)->hAPP_a_bool(cOMBK_bool_a(P),Q)=P).
% 8.10/8.08 all P Q (is_a(P)->hAPP_pname_a(cOMBK_a_pname(P),Q)=P).
% 8.10/8.08 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)).
% 8.10/8.08 all P Q (is_bool(P)->hAPP_nat_bool(cOMBK_bool_nat(P),Q)=P).
% 8.10/8.08 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).
% 8.10/8.08 all X Y (X!=Y|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(fe_qual_fun_a_bool,X),Y))).
% 8.10/8.08 all P Q (is_bool(P)->hAPP_pname_bool(cOMBK_bool_pname(P),Q)=P).
% 8.10/8.08 all P Q R (hAPP_a_bool(hAPP_nat_fun_a_bool(cOMBC_a_nat_bool(P),Q),R)=hAPP_nat_bool(hAPP_a_fun_nat_bool(P,R),Q)).
% 8.10/8.08 all P Q R (hAPP_nat_bool(hAPP_a_fun_nat_bool(cOMBC_nat_a_bool(P),Q),R)=hAPP_a_bool(hAPP_nat_fun_a_bool(P,R),Q)).
% 8.10/8.08 all P Q R (hAPP_a_bool(cOMBB_bool_bool_a(P,Q),R)=hAPP_bool_bool(P,hAPP_a_bool(Q,R))).
% 8.10/8.08 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))).
% 8.10/8.08 all P Q R (hAPP_a_bool(hAPP_p1534023578a_bool(cOMBC_a_pname_bool(P),Q),R)=hAPP_pname_bool(hAPP_a93125764e_bool(P,R),Q)).
% 8.10/8.08 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)).
% 8.10/8.08 all X Y (-hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(fe_qual_fun_nat_bool,X),Y))|X=Y).
% 8.10/8.08 all X Y (X!=Y|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(fe_qual_fun_nat_bool,X),Y))).
% 8.10/8.08 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).
% 8.10/8.08 all X Y (X!=Y|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(fe_qual533582459e_bool,X),Y))).
% 8.10/8.08 all P Q R (hAPP_a_fun_a_bool(cOMBB_a_fun_a_bool_a(P,Q),R)=hAPP_a_fun_a_bool(P,hAPP_a_a(Q,R))).
% 8.10/8.08 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)).
% 8.10/8.08 all P Q R (hAPP_nat_bool(cOMBB_bool_bool_nat(P,Q),R)=hAPP_bool_bool(P,hAPP_nat_bool(Q,R))).
% 8.10/8.08 all P Q (is_bool(P)->hAPP_fun_a_bool_bool(cOMBK_324466864a_bool(P),Q)=P).
% 8.10/8.08 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))).
% 8.10/8.08 all P Q R (hAPP_pname_bool(hAPP_n1025906991e_bool(cOMBC_pname_nat_bool(P),Q),R)=hAPP_nat_bool(hAPP_p1499970991t_bool(P,R),Q)).
% 8.10/8.08 all P Q R (hAPP_nat_bool(hAPP_p1499970991t_bool(cOMBC_nat_pname_bool(P),Q),R)=hAPP_pname_bool(hAPP_n1025906991e_bool(P,R),Q)).
% 8.10/8.08 all P Q R (hAPP_pname_bool(cOMBB_647938656_pname(P,Q),R)=hAPP_bool_bool(P,hAPP_pname_bool(Q,R))).
% 8.10/8.08 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))).
% 8.10/8.08 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)).
% 8.10/8.08 all P Q R (hAPP_nat_fun_a_bool(cOMBB_1885489796ol_nat(P,Q),R)=hAPP_a_fun_a_bool(P,hAPP_nat_a(Q,R))).
% 8.10/8.08 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)).
% 8.10/8.08 all P Q R (hAPP_p1534023578a_bool(cOMBB_1897541054_pname(P,Q),R)=hAPP_a_fun_a_bool(P,hAPP_pname_a(Q,R))).
% 8.10/8.08 all P Q (is_bool(P)->hAPP_f54304608l_bool(cOMBK_1994329625t_bool(P),Q)=P).
% 8.10/8.08 all P Q (is_bool(P)->hAPP_f1664156314l_bool(cOMBK_1857069011e_bool(P),Q)=P).
% 8.10/8.08 all P Q R (hAPP_a_fun_nat_bool(cOMBB_1321347587bool_a(P,Q),R)=hAPP_n1699378549t_bool(P,hAPP_a_nat(Q,R))).
% 8.10/8.08 all P Q R (hAPP_a_bool(hAPP_f1549043526a_bool(cOMBC_777206479l_bool(P),Q),R)=hAPP_f54304608l_bool(hAPP_a1392362872l_bool(P,R),Q)).
% 8.10/8.08 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)).
% 8.10/8.08 all P Q R (hAPP_fun_a_bool_bool(hAPP_n1414589940l_bool(cOMBC_619334683t_bool(P),Q),R)=hAPP_nat_bool(hAPP_f282463732t_bool(P,R),Q)).
% 8.10/8.08 all P Q R (hAPP_fun_a_bool_bool(cOMBB_2140588453a_bool(P,Q),R)=hAPP_bool_bool(P,hAPP_fun_a_bool_bool(Q,R))).
% 8.10/8.08 all P Q R (hAPP_a_fun_bool_bool(cOMBB_1972296269bool_a(P,Q),R)=hAPP_b589554111l_bool(P,hAPP_a_bool(Q,R))).
% 8.10/8.08 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))).
% 8.10/8.08 all P Q R (hAPP_a_bool(hAPP_f1051908748a_bool(cOMBC_1834145417l_bool(P),Q),R)=hAPP_f1664156314l_bool(hAPP_a217006258l_bool(P,R),Q)).
% 8.10/8.08 all P Q R (hAPP_pname_bool(hAPP_f1794073134e_bool(cOMBC_445755039l_bool(P),Q),R)=hAPP_fun_a_bool_bool(hAPP_p1824510254l_bool(P,R),Q)).
% 8.10/8.08 all P Q R (hAPP_fun_a_bool_bool(hAPP_p1824510254l_bool(cOMBC_1738168533e_bool(P),Q),R)=hAPP_pname_bool(hAPP_f1794073134e_bool(P,R),Q)).
% 8.10/8.08 all P Q R (hAPP_a93125764e_bool(cOMBB_610033911bool_a(P,Q),R)=hAPP_p61793385e_bool(P,hAPP_a_pname(Q,R))).
% 8.10/8.08 all P Q R (hAPP_n1699378549t_bool(cOMBB_800536526ol_nat(P,Q),R)=hAPP_n1699378549t_bool(P,hAPP_nat_nat(Q,R))).
% 8.10/8.08 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)).
% 8.10/8.08 all P Q R (hAPP_f54304608l_bool(hAPP_n215258509l_bool(cOMBC_385542954t_bool(P),Q),R)=hAPP_nat_bool(hAPP_f800510211t_bool(P,R),Q)).
% 8.10/8.08 all P Q R (hAPP_f54304608l_bool(cOMBB_238756964t_bool(P,Q),R)=hAPP_bool_bool(P,hAPP_f54304608l_bool(Q,R))).
% 8.10/8.08 all P Q R (hAPP_n1006566506l_bool(cOMBB_1015721476ol_nat(P,Q),R)=hAPP_b589554111l_bool(P,hAPP_nat_bool(Q,R))).
% 8.10/8.08 all P Q R (hAPP_p1499970991t_bool(cOMBB_523834888_pname(P,Q),R)=hAPP_n1699378549t_bool(P,hAPP_pname_nat(Q,R))).
% 8.10/8.08 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))).
% 8.10/8.08 all P Q R (hAPP_pname_bool(hAPP_f654413245e_bool(cOMBC_267053842l_bool(P),Q),R)=hAPP_f54304608l_bool(hAPP_p130839763l_bool(P,R),Q)).
% 8.10/8.08 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)).
% 8.10/8.08 all P Q R (hAPP_f1664156314l_bool(hAPP_n850744903l_bool(cOMBC_1666426608t_bool(P),Q),R)=hAPP_nat_bool(hAPP_f1066163005t_bool(P,R),Q)).
% 8.10/8.08 all P Q R (hAPP_f54304608l_bool(hAPP_p130839763l_bool(cOMBC_615407716e_bool(P),Q),R)=hAPP_pname_bool(hAPP_f654413245e_bool(P,R),Q)).
% 8.10/8.08 all P Q R (hAPP_n1025906991e_bool(cOMBB_1212655066ol_nat(P,Q),R)=hAPP_p61793385e_bool(P,hAPP_nat_pname(Q,R))).
% 8.10/8.08 all P Q R (hAPP_f1664156314l_bool(cOMBB_307249310e_bool(P,Q),R)=hAPP_bool_bool(P,hAPP_f1664156314l_bool(Q,R))).
% 8.10/8.08 all P Q R (hAPP_p393069232l_bool(cOMBB_675860798_pname(P,Q),R)=hAPP_b589554111l_bool(P,hAPP_pname_bool(Q,R))).
% 8.10/8.08 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))).
% 8.10/8.08 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)).
% 8.10/8.08 all P Q R (hAPP_f1664156314l_bool(hAPP_p338031245l_bool(cOMBC_1004116266e_bool(P),Q),R)=hAPP_pname_bool(hAPP_f759274231e_bool(P,R),Q)).
% 8.10/8.08 all P Q R (hAPP_p61793385e_bool(cOMBB_542850580_pname(P,Q),R)=hAPP_p61793385e_bool(P,hAPP_pname_pname(Q,R))).
% 8.10/8.08 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)).
% 8.10/8.08 all P Q R (hAPP_f282463732t_bool(cOMBB_164527437a_bool(P,Q),R)=hAPP_n1699378549t_bool(P,hAPP_fun_a_bool_nat(Q,R))).
% 8.10/8.08 all P Q R (hAPP_f198738859l_bool(cOMBB_338059395a_bool(P,Q),R)=hAPP_b589554111l_bool(P,hAPP_fun_a_bool_bool(Q,R))).
% 8.10/8.08 all P Q R (hAPP_f1794073134e_bool(cOMBB_1693087065a_bool(P,Q),R)=hAPP_p61793385e_bool(P,hAPP_f1128469712_pname(Q,R))).
% 8.10/8.08 all P Q R (hAPP_f800510211t_bool(cOMBB_1250273980t_bool(P,Q),R)=hAPP_n1699378549t_bool(P,hAPP_f22106695ol_nat(Q,R))).
% 8.10/8.08 all P Q R (hAPP_a85458249l_bool(cOMBB_472261505bool_a(P,Q),R)=hAPP_f1631501043l_bool(P,hAPP_a_fun_a_bool(Q,R))).
% 8.10/8.08 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)).
% 8.10/8.08 all P Q R (hAPP_f1748468828l_bool(cOMBB_444170502t_bool(P,Q),R)=hAPP_b589554111l_bool(P,hAPP_f54304608l_bool(Q,R))).
% 8.10/8.08 all P Q R (hAPP_f1066163005t_bool(cOMBB_1896684278e_bool(P,Q),R)=hAPP_n1699378549t_bool(P,hAPP_f921600141ol_nat(Q,R))).
% 8.10/8.08 all P Q R (hAPP_f654413245e_bool(cOMBB_141086128t_bool(P,Q),R)=hAPP_p61793385e_bool(P,hAPP_f1291551745_pname(Q,R))).
% 8.10/8.08 all P Q R (hAPP_f1476298914l_bool(cOMBB_2095475776e_bool(P,Q),R)=hAPP_b589554111l_bool(P,hAPP_f1664156314l_bool(Q,R))).
% 8.10/8.08 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)).
% 8.10/8.08 all P Q R (hAPP_f759274231e_bool(cOMBB_598082538e_bool(P,Q),R)=hAPP_p61793385e_bool(P,hAPP_f1297739591_pname(Q,R))).
% 8.10/8.08 all P Q R (hAPP_n1414589940l_bool(cOMBB_1823939024ol_nat(P,Q),R)=hAPP_f1631501043l_bool(P,hAPP_nat_fun_a_bool(Q,R))).
% 8.10/8.08 all P Q R (hAPP_fun_a_bool_bool(hAPP_f2117159681l_bool(cOMBC_1880041174l_bool(P),Q),R)=hAPP_f621171935l_bool(hAPP_f285962445l_bool(P,R),Q)).
% 8.10/8.08 all P Q R (hAPP_p1824510254l_bool(cOMBB_392435466_pname(P,Q),R)=hAPP_f1631501043l_bool(P,hAPP_p1534023578a_bool(Q,R))).
% 8.10/8.08 all P Q R (hAPP_a1392362872l_bool(cOMBB_743407885bool_a(P,Q),R)=hAPP_f103356543l_bool(P,hAPP_a_fun_nat_bool(Q,R))).
% 8.10/8.08 all P Q R (hAPP_a217006258l_bool(cOMBB_1137537805bool_a(P,Q),R)=hAPP_f434788991l_bool(P,hAPP_a93125764e_bool(Q,R))).
% 8.10/8.08 all P Q R (hAPP_n215258509l_bool(cOMBB_2026977092ol_nat(P,Q),R)=hAPP_f103356543l_bool(P,hAPP_n1699378549t_bool(Q,R))).
% 8.10/8.08 all P Q R (hAPP_f54304608l_bool(hAPP_f1246832597l_bool(cOMBC_1245412066l_bool(P),Q),R)=hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(P,R),Q)).
% 8.10/8.08 all P Q R (hAPP_p130839763l_bool(cOMBB_928955006_pname(P,Q),R)=hAPP_f103356543l_bool(P,hAPP_p1499970991t_bool(Q,R))).
% 8.10/8.08 all P Q R (hAPP_n850744903l_bool(cOMBB_2117322052ol_nat(P,Q),R)=hAPP_f434788991l_bool(P,hAPP_n1025906991e_bool(Q,R))).
% 8.10/8.08 all P Q R (hAPP_f1664156314l_bool(hAPP_f559147733l_bool(cOMBC_1988546018l_bool(P),Q),R)=hAPP_f1935102916l_bool(hAPP_f556039215l_bool(P,R),Q)).
% 8.10/8.08 all P Q R (hAPP_p338031245l_bool(cOMBB_408569982_pname(P,Q),R)=hAPP_f434788991l_bool(P,hAPP_p61793385e_bool(Q,R))).
% 8.10/8.08 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)).
% 8.10/8.08 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)).
% 8.10/8.08 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)).
% 8.10/8.08 hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,u)).
% 8.10/8.08 hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),image_pname_a(mgt_call,u))).
% 8.10/8.08 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)))).
% 8.10/8.08 hAPP_fun_a_bool_nat(finite_card_a,g)=hAPP_nat_nat(minus_minus_nat(hAPP_fun_a_bool_nat(finite_card_a,image_pname_a(mgt_call,u))),hAPP_nat_nat(suc,na)).
% 8.10/8.08 hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)).
% 8.10/8.08 -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(mgt_call,pn)),g)).
% 8.10/8.08 -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(hAPP_pname_a(mgt_call,pn),g)),image_pname_a(mgt_call,u))).
% 8.10/8.08 end_of_list.
% 8.10/8.08
% 8.10/8.08 -------> usable clausifies to:
% 8.10/8.08
% 8.10/8.08 list(usable).
% 8.10/8.08 0 [] A=A.
% 8.10/8.08 0 [] -is_fun_a_bool(B_2_1)|is_fun_a_bool(cOMBB_bool_bool_a(B_1_1,B_2_1)).
% 8.10/8.08 0 [] -is_fun_pname_bool(B_2_1)|is_fun_pname_bool(cOMBB_647938656_pname(B_1_1,B_2_1)).
% 8.10/8.08 0 [] -is_fun949378684l_bool(B_2_1)|is_fun949378684l_bool(cOMBB_2140588453a_bool(B_1_1,B_2_1)).
% 8.10/8.08 0 [] -is_fun1661590463l_bool(B_2_1)|is_fun1661590463l_bool(cOMBB_307249310e_bool(B_1_1,B_2_1)).
% 8.10/8.08 0 [] -is_bool(B_1_1)|is_fun_a_bool(cOMBK_bool_a(B_1_1)).
% 8.10/8.08 0 [] -is_bool(B_1_1)|is_fun_pname_bool(cOMBK_bool_pname(B_1_1)).
% 8.10/8.08 0 [] -is_bool(B_1_1)|is_fun949378684l_bool(cOMBK_324466864a_bool(B_1_1)).
% 8.10/8.08 0 [] -is_bool(B_1_1)|is_fun1661590463l_bool(cOMBK_1857069011e_bool(B_1_1)).
% 8.10/8.08 0 [] -is_fun_a_bool(B_2_1)|is_fun_a_bool(cOMBS_a_bool_bool(B_1_1,B_2_1)).
% 8.10/8.08 0 [] -is_fun_pname_bool(B_2_1)|is_fun_pname_bool(cOMBS_568398431l_bool(B_1_1,B_2_1)).
% 8.10/8.08 0 [] -is_fun949378684l_bool(B_2_1)|is_fun949378684l_bool(cOMBS_1035972772l_bool(B_1_1,B_2_1)).
% 8.10/8.08 0 [] -is_fun1661590463l_bool(B_2_1)|is_fun1661590463l_bool(cOMBS_350070575l_bool(B_1_1,B_2_1)).
% 8.10/8.08 0 [] is_fun949378684l_bool(finite_finite_a).
% 8.10/8.08 0 [] is_fun1661590463l_bool(finite_finite_pname).
% 8.10/8.08 0 [] is_a(undefined_a(x_a)).
% 8.10/8.08 0 [] is_pname(undefined_pname(pname)).
% 8.10/8.08 0 [] is_fun_a_bool(undefined_fun_a_bool(fun(x_a,bool))).
% 8.10/8.08 0 [] is_fun_pname_bool(undefi17486888e_bool(fun(pname,bool))).
% 8.10/8.08 0 [] is_fun949378684l_bool(undefi1699038445l_bool(fun(fun(x_a,bool),bool))).
% 8.10/8.08 0 [] is_fun1661590463l_bool(undefi64961550l_bool(fun(fun(pname,bool),bool))).
% 8.10/8.08 0 [] is_bool(bot_bot_bool).
% 8.10/8.08 0 [] is_fun_a_bool(bot_bot_fun_a_bool).
% 8.10/8.08 0 [] is_fun_pname_bool(bot_bo844097828e_bool).
% 8.10/8.08 0 [] is_fun949378684l_bool(bot_bo1389914601l_bool).
% 8.10/8.08 0 [] is_fun1661590463l_bool(bot_bo1649642514l_bool).
% 8.10/8.08 0 [] -is_fun_a_bool(B_1_1)|is_fun_a_bool(collect_a(B_1_1)).
% 8.10/8.08 0 [] -is_fun_pname_bool(B_1_1)|is_fun_pname_bool(collect_pname(B_1_1)).
% 8.10/8.08 0 [] -is_fun949378684l_bool(B_1_1)|is_fun949378684l_bool(collect_fun_a_bool(B_1_1)).
% 8.10/8.08 0 [] -is_fun1661590463l_bool(B_1_1)|is_fun1661590463l_bool(collec1974731493e_bool(B_1_1)).
% 8.10/8.08 0 [] -is_fun_a_bool(B_2_1)|is_fun_a_bool(image_a_a(B_1_1,B_2_1)).
% 8.10/8.08 0 [] -is_fun_a_bool(B_2_1)|is_fun_pname_bool(image_a_pname(B_1_1,B_2_1)).
% 8.10/8.08 0 [] -is_fun_a_bool(B_2_1)|is_fun949378684l_bool(image_a_fun_a_bool(B_1_1,B_2_1)).
% 8.10/8.08 0 [] -is_fun_a_bool(B_2_1)|is_fun1661590463l_bool(image_819518260e_bool(B_1_1,B_2_1)).
% 8.10/8.08 0 [] -is_fun_pname_bool(B_2_1)|is_fun_a_bool(image_pname_a(B_1_1,B_2_1)).
% 8.10/8.08 0 [] -is_fun_pname_bool(B_2_1)|is_fun_pname_bool(image_pname_pname(B_1_1,B_2_1)).
% 8.10/8.08 0 [] -is_fun_pname_bool(B_2_1)|is_fun949378684l_bool(image_112932426a_bool(B_1_1,B_2_1)).
% 8.10/8.08 0 [] -is_fun_pname_bool(B_2_1)|is_fun1661590463l_bool(image_47868345e_bool(B_1_1,B_2_1)).
% 8.10/8.08 0 [] is_fun_a_bool(image_nat_a(B_1_1,B_2_1)).
% 8.10/8.08 0 [] is_fun_pname_bool(image_nat_pname(B_1_1,B_2_1)).
% 8.10/8.08 0 [] is_fun949378684l_bool(image_nat_fun_a_bool(B_1_1,B_2_1)).
% 8.10/8.08 0 [] is_fun1661590463l_bool(image_1655916159e_bool(B_1_1,B_2_1)).
% 8.10/8.08 0 [] -is_fun949378684l_bool(B_2_1)|is_fun_a_bool(image_fun_a_bool_a(B_1_1,B_2_1)).
% 8.10/8.08 0 [] -is_fun949378684l_bool(B_2_1)|is_fun_pname_bool(image_1854862208_pname(B_1_1,B_2_1)).
% 8.10/8.08 0 [] -is_fun1661590463l_bool(B_2_1)|is_fun_a_bool(image_876012084bool_a(B_1_1,B_2_1)).
% 8.10/8.08 0 [] -is_fun1661590463l_bool(B_2_1)|is_fun_pname_bool(image_1283814551_pname(B_1_1,B_2_1)).
% 8.10/8.08 0 [] is_fun_a_bool(image_fun_nat_bool_a(B_1_1,B_2_1)).
% 8.10/8.08 0 [] is_fun_pname_bool(image_1921560913_pname(B_1_1,B_2_1)).
% 8.10/8.08 0 [] -is_a(B_1_1)| -is_fun_a_bool(B_2_1)|is_fun_a_bool(insert_a(B_1_1,B_2_1)).
% 8.10/8.08 0 [] -is_pname(B_1_1)| -is_fun_pname_bool(B_2_1)|is_fun_pname_bool(insert_pname(B_1_1,B_2_1)).
% 8.10/8.08 0 [] -is_fun_a_bool(B_1_1)| -is_fun949378684l_bool(B_2_1)|is_fun949378684l_bool(insert_fun_a_bool(B_1_1,B_2_1)).
% 8.10/8.08 0 [] -is_fun_pname_bool(B_1_1)| -is_fun1661590463l_bool(B_2_1)|is_fun1661590463l_bool(insert1325755072e_bool(B_1_1,B_2_1)).
% 8.10/8.08 0 [] is_bool(fFalse).
% 8.10/8.08 0 [] is_bool(fTrue).
% 8.10/8.08 0 [] -is_a(B_2_1)|is_a(hAPP_a_a(B_1_1,B_2_1)).
% 8.10/8.08 0 [] -is_a(B_2_1)|is_pname(hAPP_a_pname(B_1_1,B_2_1)).
% 8.10/8.08 0 [] -is_fun_a_bool(B_1_1)| -is_a(B_2_1)|is_bool(hAPP_a_bool(B_1_1,B_2_1)).
% 8.10/8.08 0 [] -is_a(B_2_1)|is_fun_a_bool(hAPP_a_fun_a_bool(B_1_1,B_2_1)).
% 8.10/8.08 0 [] -is_a(B_2_1)|is_fun_pname_bool(hAPP_a93125764e_bool(B_1_1,B_2_1)).
% 8.10/8.08 0 [] -is_a(B_2_1)|is_fun949378684l_bool(hAPP_a85458249l_bool(B_1_1,B_2_1)).
% 8.10/8.08 0 [] -is_a(B_2_1)|is_fun1661590463l_bool(hAPP_a217006258l_bool(B_1_1,B_2_1)).
% 8.10/8.08 0 [] -is_pname(B_2_1)|is_a(hAPP_pname_a(B_1_1,B_2_1)).
% 8.10/8.08 0 [] -is_pname(B_2_1)|is_pname(hAPP_pname_pname(B_1_1,B_2_1)).
% 8.10/8.08 0 [] -is_fun_pname_bool(B_1_1)| -is_pname(B_2_1)|is_bool(hAPP_pname_bool(B_1_1,B_2_1)).
% 8.10/8.08 0 [] -is_pname(B_2_1)|is_fun_a_bool(hAPP_p1534023578a_bool(B_1_1,B_2_1)).
% 8.10/8.08 0 [] -is_pname(B_2_1)|is_fun_pname_bool(hAPP_p61793385e_bool(B_1_1,B_2_1)).
% 8.10/8.08 0 [] -is_pname(B_2_1)|is_fun949378684l_bool(hAPP_p1824510254l_bool(B_1_1,B_2_1)).
% 8.10/8.08 0 [] -is_pname(B_2_1)|is_fun1661590463l_bool(hAPP_p338031245l_bool(B_1_1,B_2_1)).
% 8.10/8.08 0 [] -is_bool(B_2_1)|is_bool(hAPP_bool_bool(B_1_1,B_2_1)).
% 8.10/8.08 0 [] is_a(hAPP_nat_a(B_1_1,B_2_1)).
% 8.10/8.08 0 [] is_pname(hAPP_nat_pname(B_1_1,B_2_1)).
% 8.10/8.08 0 [] is_bool(hAPP_nat_bool(B_1_1,B_2_1)).
% 8.10/8.08 0 [] is_fun_a_bool(hAPP_nat_fun_a_bool(B_1_1,B_2_1)).
% 8.10/8.08 0 [] is_fun_pname_bool(hAPP_n1025906991e_bool(B_1_1,B_2_1)).
% 8.10/8.08 0 [] is_fun949378684l_bool(hAPP_n1414589940l_bool(B_1_1,B_2_1)).
% 8.10/8.08 0 [] is_fun1661590463l_bool(hAPP_n850744903l_bool(B_1_1,B_2_1)).
% 8.10/8.08 0 [] -is_fun_a_bool(B_2_1)|is_pname(hAPP_f1128469712_pname(B_1_1,B_2_1)).
% 8.10/8.08 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)).
% 8.10/8.08 0 [] -is_fun_a_bool(B_2_1)|is_fun_a_bool(hAPP_f2050579477a_bool(B_1_1,B_2_1)).
% 8.10/8.08 0 [] -is_fun_a_bool(B_2_1)|is_fun_pname_bool(hAPP_f1794073134e_bool(B_1_1,B_2_1)).
% 8.10/8.08 0 [] -is_fun_a_bool(B_2_1)|is_fun949378684l_bool(hAPP_f1631501043l_bool(B_1_1,B_2_1)).
% 8.10/8.08 0 [] -is_fun_pname_bool(B_2_1)|is_pname(hAPP_f1297739591_pname(B_1_1,B_2_1)).
% 8.10/8.08 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)).
% 8.10/8.08 0 [] -is_fun_pname_bool(B_2_1)|is_fun_a_bool(hAPP_f1051908748a_bool(B_1_1,B_2_1)).
% 8.10/8.08 0 [] -is_fun_pname_bool(B_2_1)|is_fun_pname_bool(hAPP_f759274231e_bool(B_1_1,B_2_1)).
% 8.10/8.08 0 [] -is_fun_pname_bool(B_2_1)|is_fun1661590463l_bool(hAPP_f434788991l_bool(B_1_1,B_2_1)).
% 8.10/8.08 0 [] is_pname(hAPP_f1291551745_pname(B_1_1,B_2_1)).
% 8.10/8.08 0 [] is_bool(hAPP_f54304608l_bool(B_1_1,B_2_1)).
% 8.10/8.08 0 [] is_fun_a_bool(hAPP_f1549043526a_bool(B_1_1,B_2_1)).
% 8.10/8.08 0 [] is_fun_pname_bool(hAPP_f654413245e_bool(B_1_1,B_2_1)).
% 8.10/8.08 0 [] -is_fun949378684l_bool(B_2_1)|is_bool(hAPP_f621171935l_bool(B_1_1,B_2_1)).
% 8.10/8.08 0 [] -is_fun949378684l_bool(B_2_1)|is_fun949378684l_bool(hAPP_f2117159681l_bool(B_1_1,B_2_1)).
% 8.10/8.08 0 [] -is_fun1661590463l_bool(B_2_1)|is_bool(hAPP_f1935102916l_bool(B_1_1,B_2_1)).
% 8.10/8.08 0 [] -is_fun1661590463l_bool(B_2_1)|is_fun1661590463l_bool(hAPP_f559147733l_bool(B_1_1,B_2_1)).
% 8.10/8.08 0 [] is_bool(hAPP_f1637334154l_bool(B_1_1,B_2_1)).
% 8.10/8.08 0 [] is_bool(hAPP_f292226953l_bool(B_1_1,B_2_1)).
% 8.10/8.08 0 [] is_bool(hAPP_f389811538l_bool(B_1_1,B_2_1)).
% 8.10/8.08 0 [] is_bool(hAPP_f937997336l_bool(B_1_1,B_2_1)).
% 8.10/8.08 0 [] is_fun_a_bool(g).
% 8.10/8.08 0 [] -is_fun_a_bool(B_1_1)|is_fun949378684l_bool(p(B_1_1)).
% 8.10/8.08 0 [] is_fun_pname_bool(u).
% 8.10/8.08 0 [] is_a(mgt(B_1_1)).
% 8.10/8.08 0 [] is_pname(pn).
% 8.10/8.08 0 [] is_bool(wt(B_1_1)).
% 8.10/8.08 0 [] -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,Ts),G))|hBOOL(hAPP_fun_a_bool_bool(p(G),Ts)).
% 8.10/8.08 0 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A_1))|hBOOL(hAPP_f937997336l_bool(finite1701474069l_bool,collec1015864663l_bool(hAPP_f1772781669l_bool(cOMBC_595898202l_bool(ord_le1454342156l_bool),A_1)))).
% 8.10/8.08 0 [] -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A_1))|hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,collec1613912337l_bool(hAPP_f510955609l_bool(cOMBC_7971162l_bool(ord_le675606854l_bool),A_1)))).
% 8.10/8.08 0 [] -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A_1))|hBOOL(hAPP_f292226953l_bool(finite1381704300l_bool,collec707592106l_bool(hAPP_f1434722111l_bool(cOMBC_331553030l_bool(ord_le1375614389l_bool),A_1)))).
% 8.10/8.08 0 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_1))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(ord_le1311769555a_bool),A_1)))).
% 8.10/8.08 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(hAPP_f434788991l_bool(cOMBC_1284144636l_bool(ord_le313189616e_bool),A_1)))).
% 8.10/8.08 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_1))|hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(hAPP_f103356543l_bool(cOMBC_1693257480l_bool(ord_le1568362934t_bool),A_1)))).
% 8.10/8.08 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1))|hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_2129980159t_bool(H,F_1))).
% 8.10/8.08 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_47868345e_bool(H,F_1))).
% 8.10/8.08 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_112932426a_bool(H,F_1))).
% 8.10/8.08 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))).
% 8.10/8.08 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,F_1))|hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_26036933t_bool(H,F_1))).
% 8.10/8.08 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,F_1))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_1655916159e_bool(H,F_1))).
% 8.10/8.08 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,F_1))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_nat_fun_a_bool(H,F_1))).
% 8.10/8.08 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))).
% 8.10/8.08 0 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,F_1))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1921560913_pname(H,F_1))).
% 8.10/8.08 0 [] -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,F_1))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1283814551_pname(H,F_1))).
% 8.10/8.08 0 [] -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,F_1))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1854862208_pname(H,F_1))).
% 8.10/8.08 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))).
% 8.10/8.08 0 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,F_1))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_496248727ol_nat(H,F_1))).
% 8.10/8.08 0 [] -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,F_1))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_1551609309ol_nat(H,F_1))).
% 8.10/8.08 0 [] -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,F_1))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_fun_a_bool_nat(H,F_1))).
% 8.10/8.08 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))).
% 8.10/8.08 0 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A_1))|hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,insert_fun_nat_bool(A_3,A_1))).
% 8.10/8.08 0 [] -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A_1))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,insert1325755072e_bool(A_3,A_1))).
% 8.10/8.08 0 [] -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A_1))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,insert_fun_a_bool(A_3,A_1))).
% 8.10/8.08 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,insert_pname(A_3,A_1))).
% 8.10/8.08 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_1))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,insert_nat(A_3,A_1))).
% 8.10/8.08 0 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_1))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,insert_a(A_3,A_1))).
% 8.10/8.08 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f921600141ol_nat(finite_card_pname,image_pname_pname(F,A_1))),hAPP_f921600141ol_nat(finite_card_pname,A_1))).
% 8.10/8.08 0 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_1))|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_1))),hAPP_fun_a_bool_nat(finite_card_a,A_1))).
% 8.10/8.08 0 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A_1))|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_1))),hAPP_f696928925ol_nat(finite346522414t_bool,A_1))).
% 8.10/8.08 0 [] -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A_1))|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_1))),hAPP_f55526627ol_nat(finite1340463720e_bool,A_1))).
% 8.10/8.08 0 [] -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A_1))|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_1))),hAPP_f2009550088ol_nat(finite1306199131a_bool,A_1))).
% 8.10/8.08 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f22106695ol_nat(finite_card_nat,image_pname_nat(F,A_1))),hAPP_f921600141ol_nat(finite_card_pname,A_1))).
% 8.10/8.08 0 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f22106695ol_nat(finite_card_nat,image_a_nat(F,A_1))),hAPP_fun_a_bool_nat(finite_card_a,A_1))).
% 8.10/8.08 0 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f22106695ol_nat(finite_card_nat,image_496248727ol_nat(F,A_1))),hAPP_f696928925ol_nat(finite346522414t_bool,A_1))).
% 8.10/8.08 0 [] -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f22106695ol_nat(finite_card_nat,image_1551609309ol_nat(F,A_1))),hAPP_f55526627ol_nat(finite1340463720e_bool,A_1))).
% 8.10/8.08 0 [] -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A_1))|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_1))),hAPP_f2009550088ol_nat(finite1306199131a_bool,A_1))).
% 8.10/8.08 0 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f921600141ol_nat(finite_card_pname,image_a_pname(F,A_1))),hAPP_fun_a_bool_nat(finite_card_a,A_1))).
% 8.10/8.08 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f921600141ol_nat(finite_card_pname,image_nat_pname(F,A_1))),hAPP_f22106695ol_nat(finite_card_nat,A_1))).
% 8.10/8.08 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))|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_1))),hAPP_f921600141ol_nat(finite_card_pname,A_1))).
% 8.10/8.08 0 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B_6))| -hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,A_1),B_6))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f696928925ol_nat(finite346522414t_bool,A_1)),hAPP_f696928925ol_nat(finite346522414t_bool,B_6))).
% 8.10/8.08 0 [] -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B_6))| -hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,A_1),B_6))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f55526627ol_nat(finite1340463720e_bool,A_1)),hAPP_f55526627ol_nat(finite1340463720e_bool,B_6))).
% 8.10/8.08 0 [] -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B_6))| -hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,A_1),B_6))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f2009550088ol_nat(finite1306199131a_bool,A_1)),hAPP_f2009550088ol_nat(finite1306199131a_bool,B_6))).
% 8.10/8.08 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B_6))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),B_6))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f921600141ol_nat(finite_card_pname,A_1)),hAPP_f921600141ol_nat(finite_card_pname,B_6))).
% 8.10/8.08 0 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B_6))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),B_6))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_fun_a_bool_nat(finite_card_a,A_1)),hAPP_fun_a_bool_nat(finite_card_a,B_6))).
% 8.10/8.08 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B_6))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_1),B_6))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f22106695ol_nat(finite_card_nat,A_1)),hAPP_f22106695ol_nat(finite_card_nat,B_6))).
% 8.10/8.08 0 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B_6))| -hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,A_1),B_6))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f696928925ol_nat(finite346522414t_bool,B_6)),hAPP_f696928925ol_nat(finite346522414t_bool,A_1)))|A_1=B_6.
% 8.10/8.08 0 [] -is_fun1661590463l_bool(A_1)| -is_fun1661590463l_bool(B_6)| -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B_6))| -hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,A_1),B_6))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f55526627ol_nat(finite1340463720e_bool,B_6)),hAPP_f55526627ol_nat(finite1340463720e_bool,A_1)))|A_1=B_6.
% 8.10/8.08 0 [] -is_fun949378684l_bool(A_1)| -is_fun949378684l_bool(B_6)| -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B_6))| -hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,A_1),B_6))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f2009550088ol_nat(finite1306199131a_bool,B_6)),hAPP_f2009550088ol_nat(finite1306199131a_bool,A_1)))|A_1=B_6.
% 8.10/8.08 0 [] -is_fun_pname_bool(A_1)| -is_fun_pname_bool(B_6)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B_6))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),B_6))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f921600141ol_nat(finite_card_pname,B_6)),hAPP_f921600141ol_nat(finite_card_pname,A_1)))|A_1=B_6.
% 8.10/8.08 0 [] -is_fun_a_bool(A_1)| -is_fun_a_bool(B_6)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B_6))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),B_6))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_fun_a_bool_nat(finite_card_a,B_6)),hAPP_fun_a_bool_nat(finite_card_a,A_1)))|A_1=B_6.
% 8.10/8.08 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B_6))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_1),B_6))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f22106695ol_nat(finite_card_nat,B_6)),hAPP_f22106695ol_nat(finite_card_nat,A_1)))|A_1=B_6.
% 8.10/8.08 0 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f696928925ol_nat(finite346522414t_bool,A_1)),hAPP_f696928925ol_nat(finite346522414t_bool,insert_fun_nat_bool(X_3,A_1)))).
% 8.10/8.08 0 [] -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f55526627ol_nat(finite1340463720e_bool,A_1)),hAPP_f55526627ol_nat(finite1340463720e_bool,insert1325755072e_bool(X_3,A_1)))).
% 8.10/8.08 0 [] -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f2009550088ol_nat(finite1306199131a_bool,A_1)),hAPP_f2009550088ol_nat(finite1306199131a_bool,insert_fun_a_bool(X_3,A_1)))).
% 8.10/8.08 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f921600141ol_nat(finite_card_pname,A_1)),hAPP_f921600141ol_nat(finite_card_pname,insert_pname(X_3,A_1)))).
% 8.10/8.08 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_f22106695ol_nat(finite_card_nat,A_1)),hAPP_f22106695ol_nat(finite_card_nat,insert_nat(X_3,A_1)))).
% 8.10/8.08 0 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_fun_a_bool_nat(finite_card_a,A_1)),hAPP_fun_a_bool_nat(finite_card_a,insert_a(X_3,A_1)))).
% 8.10/8.08 0 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A_1))| -hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,X_3),A_1))|hAPP_f696928925ol_nat(finite346522414t_bool,insert_fun_nat_bool(X_3,A_1))=hAPP_f696928925ol_nat(finite346522414t_bool,A_1).
% 8.10/8.08 0 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A_1))|hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,X_3),A_1))|hAPP_f696928925ol_nat(finite346522414t_bool,insert_fun_nat_bool(X_3,A_1))=hAPP_nat_nat(suc,hAPP_f696928925ol_nat(finite346522414t_bool,A_1)).
% 8.10/8.08 0 [] -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A_1))| -hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X_3),A_1))|hAPP_f55526627ol_nat(finite1340463720e_bool,insert1325755072e_bool(X_3,A_1))=hAPP_f55526627ol_nat(finite1340463720e_bool,A_1).
% 8.10/8.08 0 [] -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A_1))|hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X_3),A_1))|hAPP_f55526627ol_nat(finite1340463720e_bool,insert1325755072e_bool(X_3,A_1))=hAPP_nat_nat(suc,hAPP_f55526627ol_nat(finite1340463720e_bool,A_1)).
% 8.10/8.08 0 [] -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A_1))| -hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool,X_3),A_1))|hAPP_f2009550088ol_nat(finite1306199131a_bool,insert_fun_a_bool(X_3,A_1))=hAPP_f2009550088ol_nat(finite1306199131a_bool,A_1).
% 8.10/8.08 0 [] -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A_1))|hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool,X_3),A_1))|hAPP_f2009550088ol_nat(finite1306199131a_bool,insert_fun_a_bool(X_3,A_1))=hAPP_nat_nat(suc,hAPP_f2009550088ol_nat(finite1306199131a_bool,A_1)).
% 8.10/8.08 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_1))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_3),A_1))|hAPP_f22106695ol_nat(finite_card_nat,insert_nat(X_3,A_1))=hAPP_f22106695ol_nat(finite_card_nat,A_1).
% 8.10/8.08 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_1))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_3),A_1))|hAPP_f22106695ol_nat(finite_card_nat,insert_nat(X_3,A_1))=hAPP_nat_nat(suc,hAPP_f22106695ol_nat(finite_card_nat,A_1)).
% 8.10/8.08 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))| -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_3),A_1))|hAPP_f921600141ol_nat(finite_card_pname,insert_pname(X_3,A_1))=hAPP_f921600141ol_nat(finite_card_pname,A_1).
% 8.10/8.08 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_3),A_1))|hAPP_f921600141ol_nat(finite_card_pname,insert_pname(X_3,A_1))=hAPP_nat_nat(suc,hAPP_f921600141ol_nat(finite_card_pname,A_1)).
% 8.10/8.08 0 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_1))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_3),A_1))|hAPP_fun_a_bool_nat(finite_card_a,insert_a(X_3,A_1))=hAPP_fun_a_bool_nat(finite_card_a,A_1).
% 8.10/8.08 0 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_1))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_3),A_1))|hAPP_fun_a_bool_nat(finite_card_a,insert_a(X_3,A_1))=hAPP_nat_nat(suc,hAPP_fun_a_bool_nat(finite_card_a,A_1)).
% 8.10/8.08 0 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A_1))|hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,X_3),A_1))|hAPP_f696928925ol_nat(finite346522414t_bool,insert_fun_nat_bool(X_3,A_1))=hAPP_nat_nat(suc,hAPP_f696928925ol_nat(finite346522414t_bool,A_1)).
% 8.10/8.08 0 [] -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A_1))|hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X_3),A_1))|hAPP_f55526627ol_nat(finite1340463720e_bool,insert1325755072e_bool(X_3,A_1))=hAPP_nat_nat(suc,hAPP_f55526627ol_nat(finite1340463720e_bool,A_1)).
% 8.10/8.08 0 [] -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A_1))|hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool,X_3),A_1))|hAPP_f2009550088ol_nat(finite1306199131a_bool,insert_fun_a_bool(X_3,A_1))=hAPP_nat_nat(suc,hAPP_f2009550088ol_nat(finite1306199131a_bool,A_1)).
% 8.10/8.08 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_1))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_3),A_1))|hAPP_f22106695ol_nat(finite_card_nat,insert_nat(X_3,A_1))=hAPP_nat_nat(suc,hAPP_f22106695ol_nat(finite_card_nat,A_1)).
% 8.10/8.08 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_3),A_1))|hAPP_f921600141ol_nat(finite_card_pname,insert_pname(X_3,A_1))=hAPP_nat_nat(suc,hAPP_f921600141ol_nat(finite_card_pname,A_1)).
% 8.10/8.08 0 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_1))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_3),A_1))|hAPP_fun_a_bool_nat(finite_card_a,insert_a(X_3,A_1))=hAPP_nat_nat(suc,hAPP_fun_a_bool_nat(finite_card_a,A_1)).
% 8.10/8.08 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_1)))).
% 8.10/8.08 0 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(Q_1)))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,Pa),Q_1)))).
% 8.10/8.08 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_1)))).
% 8.10/8.08 0 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(Q_1)))|hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fconj,Pa),Q_1)))).
% 8.10/8.08 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_1)))).
% 8.10/8.08 0 [] -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(Q_1)))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,Pa),Q_1)))).
% 8.10/8.08 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_1)))).
% 8.10/8.08 0 [] -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(Q_1)))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fconj,Pa),Q_1)))).
% 8.10/8.08 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_1)))).
% 8.10/8.08 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(Q_1)))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,Pa),Q_1)))).
% 8.10/8.08 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_1)))).
% 8.10/8.08 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(Q_1)))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,Pa),Q_1)))).
% 8.10/8.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),M))|hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(suc,M)),N)=hAPP_nat_nat(suc,hAPP_nat_nat(minus_minus_nat(M),N)).
% 8.10/8.08 0 [] hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_e_q_nat),K_2)))).
% 8.10/8.08 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).
% 8.10/8.08 0 [] hAPP_nat_nat(suc,X)!=hAPP_nat_nat(suc,Y)|X=Y.
% 8.10/8.08 0 [] hAPP_nat_nat(suc,Nat_3)!=hAPP_nat_nat(suc,Nat_2)|Nat_3=Nat_2.
% 8.10/8.08 0 [] hAPP_nat_nat(suc,Nat_3)=hAPP_nat_nat(suc,Nat_2)|Nat_3!=Nat_2.
% 8.10/8.08 0 [] hAPP_nat_nat(suc,N)!=N.
% 8.10/8.08 0 [] N!=hAPP_nat_nat(suc,N).
% 8.10/8.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),M))|M=N.
% 8.10/8.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),J_2))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J_2),K))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),K)).
% 8.10/8.08 0 [] M!=N|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N)).
% 8.10/8.08 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),M)).
% 8.10/8.08 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),N)).
% 8.10/8.08 0 [] hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(I),J_2)),K)=hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(I),K)),J_2).
% 8.10/8.08 0 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,Pa),Q_1))))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(Pa))).
% 8.10/8.08 0 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,Pa),Q_1))))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(Q_1))).
% 8.10/8.08 0 [] hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,Pa),Q_1))))| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(Pa)))| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(Q_1))).
% 8.10/8.08 0 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fdisj,Pa),Q_1))))|hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(Pa))).
% 8.10/8.08 0 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fdisj,Pa),Q_1))))|hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(Q_1))).
% 8.10/8.08 0 [] hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fdisj,Pa),Q_1))))| -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(Pa)))| -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(Q_1))).
% 8.10/8.08 0 [] -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,Pa),Q_1))))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(Pa))).
% 8.10/8.08 0 [] -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,Pa),Q_1))))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(Q_1))).
% 8.10/8.08 0 [] hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,Pa),Q_1))))| -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(Pa)))| -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(Q_1))).
% 8.10/8.08 0 [] -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj,Pa),Q_1))))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(Pa))).
% 8.10/8.08 0 [] -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj,Pa),Q_1))))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(Q_1))).
% 8.10/8.08 0 [] hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj,Pa),Q_1))))| -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(Pa)))| -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(Q_1))).
% 8.10/8.08 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,Pa),Q_1))))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(Pa))).
% 8.10/8.08 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,Pa),Q_1))))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(Q_1))).
% 8.10/8.08 0 [] hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,Pa),Q_1))))| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(Pa)))| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(Q_1))).
% 8.10/8.08 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,Pa),Q_1))))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(Pa))).
% 8.10/8.08 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,Pa),Q_1))))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(Q_1))).
% 8.10/8.08 0 [] hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,Pa),Q_1))))| -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(Pa)))| -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(Q_1))).
% 8.10/8.08 0 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,insert_fun_nat_bool(A_3,A_1)))|hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A_1)).
% 8.10/8.08 0 [] hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,insert_fun_nat_bool(A_3,A_1)))| -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A_1)).
% 8.10/8.08 0 [] -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,insert1325755072e_bool(A_3,A_1)))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A_1)).
% 8.10/8.08 0 [] hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,insert1325755072e_bool(A_3,A_1)))| -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A_1)).
% 8.10/8.08 0 [] -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,insert_fun_a_bool(A_3,A_1)))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A_1)).
% 8.10/8.08 0 [] hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,insert_fun_a_bool(A_3,A_1)))| -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A_1)).
% 8.10/8.08 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,insert_pname(A_3,A_1)))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1)).
% 8.10/8.08 0 [] hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,insert_pname(A_3,A_1)))| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1)).
% 8.10/8.08 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,insert_nat(A_3,A_1)))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_1)).
% 8.10/8.08 0 [] hBOOL(hAPP_f54304608l_bool(finite_finite_nat,insert_nat(A_3,A_1)))| -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_1)).
% 8.10/8.08 0 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,insert_a(A_3,A_1)))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_1)).
% 8.10/8.08 0 [] hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,insert_a(A_3,A_1)))| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_1)).
% 8.10/8.08 0 [] -hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,A_1),B_6))| -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B_6))|hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A_1)).
% 8.10/8.08 0 [] -hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,A_1),B_6))| -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B_6))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A_1)).
% 8.10/8.08 0 [] -hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,A_1),B_6))| -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B_6))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A_1)).
% 8.10/8.08 0 [] -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),B_6))| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B_6))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_1)).
% 8.10/8.08 0 [] -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),B_6))| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B_6))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1)).
% 8.10/8.08 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_1),B_6))| -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B_6))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_1)).
% 8.10/8.08 0 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B_6))| -hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,A_1),B_6))|hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A_1)).
% 8.10/8.08 0 [] -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B_6))| -hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,A_1),B_6))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A_1)).
% 8.10/8.08 0 [] -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B_6))| -hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,A_1),B_6))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A_1)).
% 8.10/8.08 0 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B_6))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),B_6))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_1)).
% 8.10/8.08 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B_6))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),B_6))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1)).
% 8.10/8.08 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B_6))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_1),B_6))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_1)).
% 8.10/8.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,M)),N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N)).
% 8.10/8.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),hAPP_nat_nat(suc,N)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))|M=hAPP_nat_nat(suc,N).
% 8.10/8.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),hAPP_nat_nat(suc,N))).
% 8.10/8.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,Na)),hAPP_nat_nat(suc,M_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Na),M_1)).
% 8.10/8.08 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,Na)),hAPP_nat_nat(suc,M_1)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Na),M_1)).
% 8.10/8.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),hAPP_nat_nat(suc,Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),Na))|M_1=hAPP_nat_nat(suc,Na).
% 8.10/8.08 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),hAPP_nat_nat(suc,Na)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),Na)).
% 8.10/8.08 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),hAPP_nat_nat(suc,Na)))|M_1!=hAPP_nat_nat(suc,Na).
% 8.10/8.08 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),Na))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,Na)),M_1)).
% 8.10/8.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),Na))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,Na)),M_1)).
% 8.10/8.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,N)),N)).
% 8.10/8.08 0 [] hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(suc,M)),N)),hAPP_nat_nat(suc,K))=hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(M),N)),K).
% 8.10/8.08 0 [] hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(suc,M)),hAPP_nat_nat(suc,N))=hAPP_nat_nat(minus_minus_nat(M),N).
% 8.10/8.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_2),M_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_2),Na))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(minus_minus_nat(M_1),K_2)),hAPP_nat_nat(minus_minus_nat(Na),K_2)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),Na)).
% 8.10/8.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_2),M_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_2),Na))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(minus_minus_nat(M_1),K_2)),hAPP_nat_nat(minus_minus_nat(Na),K_2)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),Na)).
% 8.10/8.08 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),N))|hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(M),K)),hAPP_nat_nat(minus_minus_nat(N),K))=hAPP_nat_nat(minus_minus_nat(M),N).
% 8.10/8.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_2),M_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_2),Na))|hAPP_nat_nat(minus_minus_nat(M_1),K_2)!=hAPP_nat_nat(minus_minus_nat(Na),K_2)|M_1=Na.
% 8.10/8.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_2),M_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_2),Na))|hAPP_nat_nat(minus_minus_nat(M_1),K_2)=hAPP_nat_nat(minus_minus_nat(Na),K_2)|M_1!=Na.
% 8.10/8.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),N))|hAPP_nat_nat(minus_minus_nat(N),hAPP_nat_nat(minus_minus_nat(N),I))=I.
% 8.10/8.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(minus_minus_nat(M),L)),hAPP_nat_nat(minus_minus_nat(N),L))).
% 8.10/8.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(minus_minus_nat(L),N)),hAPP_nat_nat(minus_minus_nat(L),M))).
% 8.10/8.08 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(minus_minus_nat(M),N)),M)).
% 8.10/8.08 0 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_1))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_6),image_a_a(F,A_1)))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B_6)).
% 8.10/8.08 0 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A_1))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_6),image_fun_nat_bool_a(F,A_1)))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B_6)).
% 8.10/8.08 0 [] -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A_1))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_6),image_876012084bool_a(F,A_1)))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B_6)).
% 8.10/8.08 0 [] -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A_1))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_6),image_fun_a_bool_a(F,A_1)))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B_6)).
% 8.10/8.08 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))| -hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,B_6),image_2129980159t_bool(F,A_1)))|hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B_6)).
% 8.10/8.08 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))| -hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,B_6),image_47868345e_bool(F,A_1)))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B_6)).
% 8.10/8.08 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))| -hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,B_6),image_112932426a_bool(F,A_1)))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B_6)).
% 8.10/8.08 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_6),image_pname_pname(F,A_1)))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B_6)).
% 8.10/8.08 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_6),image_pname_nat(F,A_1)))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B_6)).
% 8.10/8.08 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_1))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_6),image_nat_a(F,A_1)))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B_6)).
% 8.10/8.08 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_1))| -hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,B_6),image_26036933t_bool(F,A_1)))|hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B_6)).
% 8.10/8.08 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_1))| -hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,B_6),image_1655916159e_bool(F,A_1)))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B_6)).
% 8.10/8.08 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_1))| -hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,B_6),image_nat_fun_a_bool(F,A_1)))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B_6)).
% 8.10/8.08 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_1))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_6),image_nat_pname(F,A_1)))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B_6)).
% 8.10/8.08 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_1))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_6),image_nat_nat(F,A_1)))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B_6)).
% 8.10/8.08 0 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_1))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_6),image_a_pname(F,A_1)))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B_6)).
% 8.10/8.08 0 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A_1))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_6),image_1921560913_pname(F,A_1)))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B_6)).
% 8.10/8.08 0 [] -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A_1))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_6),image_1283814551_pname(F,A_1)))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B_6)).
% 8.10/8.08 0 [] -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A_1))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_6),image_1854862208_pname(F,A_1)))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B_6)).
% 8.10/8.08 0 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_1))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_6),image_a_nat(F,A_1)))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B_6)).
% 8.10/8.08 0 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A_1))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_6),image_496248727ol_nat(F,A_1)))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B_6)).
% 8.10/8.08 0 [] -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A_1))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_6),image_1551609309ol_nat(F,A_1)))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B_6)).
% 8.10/8.08 0 [] -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A_1))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_6),image_fun_a_bool_nat(F,A_1)))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B_6)).
% 8.10/8.08 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_6),image_pname_a(F,A_1)))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B_6)).
% 8.10/8.08 0 [] -is_fun_a_bool(B_6)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B_6))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_6),image_fun_nat_bool_a(F,A_1)))|hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,$f1(F,A_1,B_6)),A_1)).
% 8.10/8.08 0 [] -is_fun_a_bool(B_6)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B_6))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_6),image_fun_nat_bool_a(F,A_1)))|hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,$f1(F,A_1,B_6))).
% 8.10/8.08 0 [] -is_fun_a_bool(B_6)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B_6))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_6),image_fun_nat_bool_a(F,A_1)))|B_6=image_fun_nat_bool_a(F,$f1(F,A_1,B_6)).
% 8.10/8.08 0 [] -is_fun_a_bool(B_6)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B_6))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_6),image_876012084bool_a(F,A_1)))|is_fun1661590463l_bool($f2(F,A_1,B_6)).
% 8.10/8.08 0 [] -is_fun_a_bool(B_6)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B_6))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_6),image_876012084bool_a(F,A_1)))|hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,$f2(F,A_1,B_6)),A_1)).
% 8.10/8.08 0 [] -is_fun_a_bool(B_6)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B_6))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_6),image_876012084bool_a(F,A_1)))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,$f2(F,A_1,B_6))).
% 8.10/8.08 0 [] -is_fun_a_bool(B_6)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B_6))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_6),image_876012084bool_a(F,A_1)))|B_6=image_876012084bool_a(F,$f2(F,A_1,B_6)).
% 8.10/8.08 0 [] -is_fun_a_bool(B_6)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B_6))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_6),image_fun_a_bool_a(F,A_1)))|is_fun949378684l_bool($f3(F,A_1,B_6)).
% 8.10/8.08 0 [] -is_fun_a_bool(B_6)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B_6))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_6),image_fun_a_bool_a(F,A_1)))|hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,$f3(F,A_1,B_6)),A_1)).
% 8.10/8.08 0 [] -is_fun_a_bool(B_6)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B_6))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_6),image_fun_a_bool_a(F,A_1)))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,$f3(F,A_1,B_6))).
% 8.10/8.08 0 [] -is_fun_a_bool(B_6)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B_6))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_6),image_fun_a_bool_a(F,A_1)))|B_6=image_fun_a_bool_a(F,$f3(F,A_1,B_6)).
% 8.10/8.08 0 [] -is_fun_a_bool(B_6)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B_6))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_6),image_a_a(F,A_1)))|is_fun_a_bool($f4(F,A_1,B_6)).
% 8.10/8.08 0 [] -is_fun_a_bool(B_6)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B_6))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_6),image_a_a(F,A_1)))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,$f4(F,A_1,B_6)),A_1)).
% 8.10/8.08 0 [] -is_fun_a_bool(B_6)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B_6))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_6),image_a_a(F,A_1)))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,$f4(F,A_1,B_6))).
% 8.10/8.08 0 [] -is_fun_a_bool(B_6)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B_6))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_6),image_a_a(F,A_1)))|B_6=image_a_a(F,$f4(F,A_1,B_6)).
% 8.10/8.08 0 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B_6))| -hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,B_6),image_a_fun_nat_bool(F,A_1)))|is_fun_a_bool($f5(F,A_1,B_6)).
% 8.10/8.08 0 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B_6))| -hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,B_6),image_a_fun_nat_bool(F,A_1)))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,$f5(F,A_1,B_6)),A_1)).
% 8.10/8.08 0 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B_6))| -hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,B_6),image_a_fun_nat_bool(F,A_1)))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,$f5(F,A_1,B_6))).
% 8.10/8.08 0 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B_6))| -hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,B_6),image_a_fun_nat_bool(F,A_1)))|B_6=image_a_fun_nat_bool(F,$f5(F,A_1,B_6)).
% 8.10/8.08 0 [] -is_fun1661590463l_bool(B_6)| -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B_6))| -hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,B_6),image_819518260e_bool(F,A_1)))|is_fun_a_bool($f6(F,A_1,B_6)).
% 8.10/8.08 0 [] -is_fun1661590463l_bool(B_6)| -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B_6))| -hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,B_6),image_819518260e_bool(F,A_1)))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,$f6(F,A_1,B_6)),A_1)).
% 8.10/8.08 0 [] -is_fun1661590463l_bool(B_6)| -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B_6))| -hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,B_6),image_819518260e_bool(F,A_1)))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,$f6(F,A_1,B_6))).
% 8.10/8.08 0 [] -is_fun1661590463l_bool(B_6)| -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B_6))| -hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,B_6),image_819518260e_bool(F,A_1)))|B_6=image_819518260e_bool(F,$f6(F,A_1,B_6)).
% 8.10/8.08 0 [] -is_fun949378684l_bool(B_6)| -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B_6))| -hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,B_6),image_a_fun_a_bool(F,A_1)))|is_fun_a_bool($f7(F,A_1,B_6)).
% 8.10/8.08 0 [] -is_fun949378684l_bool(B_6)| -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B_6))| -hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,B_6),image_a_fun_a_bool(F,A_1)))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,$f7(F,A_1,B_6)),A_1)).
% 8.10/8.08 0 [] -is_fun949378684l_bool(B_6)| -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B_6))| -hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,B_6),image_a_fun_a_bool(F,A_1)))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,$f7(F,A_1,B_6))).
% 8.10/8.08 0 [] -is_fun949378684l_bool(B_6)| -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B_6))| -hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,B_6),image_a_fun_a_bool(F,A_1)))|B_6=image_a_fun_a_bool(F,$f7(F,A_1,B_6)).
% 8.10/8.08 0 [] -is_fun_pname_bool(B_6)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B_6))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_6),image_a_pname(F,A_1)))|is_fun_a_bool($f8(F,A_1,B_6)).
% 8.10/8.08 0 [] -is_fun_pname_bool(B_6)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B_6))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_6),image_a_pname(F,A_1)))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,$f8(F,A_1,B_6)),A_1)).
% 8.10/8.08 0 [] -is_fun_pname_bool(B_6)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B_6))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_6),image_a_pname(F,A_1)))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,$f8(F,A_1,B_6))).
% 8.10/8.08 0 [] -is_fun_pname_bool(B_6)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B_6))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_6),image_a_pname(F,A_1)))|B_6=image_a_pname(F,$f8(F,A_1,B_6)).
% 8.10/8.08 0 [] -is_fun_pname_bool(B_6)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B_6))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_6),image_1921560913_pname(F,A_1)))|hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,$f9(F,A_1,B_6)),A_1)).
% 8.10/8.08 0 [] -is_fun_pname_bool(B_6)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B_6))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_6),image_1921560913_pname(F,A_1)))|hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,$f9(F,A_1,B_6))).
% 8.10/8.08 0 [] -is_fun_pname_bool(B_6)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B_6))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_6),image_1921560913_pname(F,A_1)))|B_6=image_1921560913_pname(F,$f9(F,A_1,B_6)).
% 8.10/8.08 0 [] -is_fun_pname_bool(B_6)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B_6))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_6),image_1283814551_pname(F,A_1)))|is_fun1661590463l_bool($f10(F,A_1,B_6)).
% 8.10/8.08 0 [] -is_fun_pname_bool(B_6)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B_6))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_6),image_1283814551_pname(F,A_1)))|hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,$f10(F,A_1,B_6)),A_1)).
% 8.10/8.08 0 [] -is_fun_pname_bool(B_6)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B_6))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_6),image_1283814551_pname(F,A_1)))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,$f10(F,A_1,B_6))).
% 8.10/8.08 0 [] -is_fun_pname_bool(B_6)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B_6))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_6),image_1283814551_pname(F,A_1)))|B_6=image_1283814551_pname(F,$f10(F,A_1,B_6)).
% 8.10/8.08 0 [] -is_fun_pname_bool(B_6)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B_6))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_6),image_1854862208_pname(F,A_1)))|is_fun949378684l_bool($f11(F,A_1,B_6)).
% 8.10/8.08 0 [] -is_fun_pname_bool(B_6)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B_6))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_6),image_1854862208_pname(F,A_1)))|hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,$f11(F,A_1,B_6)),A_1)).
% 8.10/8.08 0 [] -is_fun_pname_bool(B_6)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B_6))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_6),image_1854862208_pname(F,A_1)))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,$f11(F,A_1,B_6))).
% 8.10/8.08 0 [] -is_fun_pname_bool(B_6)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B_6))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_6),image_1854862208_pname(F,A_1)))|B_6=image_1854862208_pname(F,$f11(F,A_1,B_6)).
% 8.10/8.08 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B_6))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_6),image_a_nat(F,A_1)))|is_fun_a_bool($f12(F,A_1,B_6)).
% 8.10/8.08 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B_6))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_6),image_a_nat(F,A_1)))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,$f12(F,A_1,B_6)),A_1)).
% 8.10/8.08 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B_6))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_6),image_a_nat(F,A_1)))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,$f12(F,A_1,B_6))).
% 8.10/8.08 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B_6))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_6),image_a_nat(F,A_1)))|B_6=image_a_nat(F,$f12(F,A_1,B_6)).
% 8.10/8.08 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B_6))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_6),image_496248727ol_nat(F,A_1)))|hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,$f13(F,A_1,B_6)),A_1)).
% 8.10/8.08 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B_6))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_6),image_496248727ol_nat(F,A_1)))|hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,$f13(F,A_1,B_6))).
% 8.10/8.08 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B_6))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_6),image_496248727ol_nat(F,A_1)))|B_6=image_496248727ol_nat(F,$f13(F,A_1,B_6)).
% 8.10/8.08 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B_6))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_6),image_1551609309ol_nat(F,A_1)))|is_fun1661590463l_bool($f14(F,A_1,B_6)).
% 8.10/8.08 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B_6))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_6),image_1551609309ol_nat(F,A_1)))|hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,$f14(F,A_1,B_6)),A_1)).
% 8.10/8.08 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B_6))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_6),image_1551609309ol_nat(F,A_1)))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,$f14(F,A_1,B_6))).
% 8.10/8.08 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B_6))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_6),image_1551609309ol_nat(F,A_1)))|B_6=image_1551609309ol_nat(F,$f14(F,A_1,B_6)).
% 8.10/8.08 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B_6))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_6),image_fun_a_bool_nat(F,A_1)))|is_fun949378684l_bool($f15(F,A_1,B_6)).
% 8.10/8.08 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B_6))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_6),image_fun_a_bool_nat(F,A_1)))|hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,$f15(F,A_1,B_6)),A_1)).
% 8.10/8.08 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B_6))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_6),image_fun_a_bool_nat(F,A_1)))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,$f15(F,A_1,B_6))).
% 8.10/8.08 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B_6))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_6),image_fun_a_bool_nat(F,A_1)))|B_6=image_fun_a_bool_nat(F,$f15(F,A_1,B_6)).
% 8.10/8.08 0 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B_6))| -hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,B_6),image_2129980159t_bool(F,A_1)))|is_fun_pname_bool($f16(F,A_1,B_6)).
% 8.10/8.08 0 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B_6))| -hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,B_6),image_2129980159t_bool(F,A_1)))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,$f16(F,A_1,B_6)),A_1)).
% 8.10/8.08 0 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B_6))| -hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,B_6),image_2129980159t_bool(F,A_1)))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,$f16(F,A_1,B_6))).
% 8.10/8.08 0 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B_6))| -hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,B_6),image_2129980159t_bool(F,A_1)))|B_6=image_2129980159t_bool(F,$f16(F,A_1,B_6)).
% 8.10/8.08 0 [] -is_fun1661590463l_bool(B_6)| -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B_6))| -hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,B_6),image_47868345e_bool(F,A_1)))|is_fun_pname_bool($f17(F,A_1,B_6)).
% 8.10/8.08 0 [] -is_fun1661590463l_bool(B_6)| -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B_6))| -hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,B_6),image_47868345e_bool(F,A_1)))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,$f17(F,A_1,B_6)),A_1)).
% 8.10/8.08 0 [] -is_fun1661590463l_bool(B_6)| -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B_6))| -hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,B_6),image_47868345e_bool(F,A_1)))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,$f17(F,A_1,B_6))).
% 8.10/8.08 0 [] -is_fun1661590463l_bool(B_6)| -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B_6))| -hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,B_6),image_47868345e_bool(F,A_1)))|B_6=image_47868345e_bool(F,$f17(F,A_1,B_6)).
% 8.10/8.08 0 [] -is_fun949378684l_bool(B_6)| -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B_6))| -hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,B_6),image_112932426a_bool(F,A_1)))|is_fun_pname_bool($f18(F,A_1,B_6)).
% 8.10/8.08 0 [] -is_fun949378684l_bool(B_6)| -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B_6))| -hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,B_6),image_112932426a_bool(F,A_1)))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,$f18(F,A_1,B_6)),A_1)).
% 8.10/8.08 0 [] -is_fun949378684l_bool(B_6)| -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B_6))| -hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,B_6),image_112932426a_bool(F,A_1)))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,$f18(F,A_1,B_6))).
% 8.10/8.08 0 [] -is_fun949378684l_bool(B_6)| -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B_6))| -hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,B_6),image_112932426a_bool(F,A_1)))|B_6=image_112932426a_bool(F,$f18(F,A_1,B_6)).
% 8.10/8.08 0 [] -is_fun_pname_bool(B_6)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B_6))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_6),image_pname_pname(F,A_1)))|is_fun_pname_bool($f19(F,A_1,B_6)).
% 8.10/8.08 0 [] -is_fun_pname_bool(B_6)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B_6))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_6),image_pname_pname(F,A_1)))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,$f19(F,A_1,B_6)),A_1)).
% 8.10/8.08 0 [] -is_fun_pname_bool(B_6)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B_6))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_6),image_pname_pname(F,A_1)))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,$f19(F,A_1,B_6))).
% 8.10/8.08 0 [] -is_fun_pname_bool(B_6)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B_6))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_6),image_pname_pname(F,A_1)))|B_6=image_pname_pname(F,$f19(F,A_1,B_6)).
% 8.10/8.08 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B_6))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_6),image_pname_nat(F,A_1)))|is_fun_pname_bool($f20(F,A_1,B_6)).
% 8.10/8.08 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B_6))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_6),image_pname_nat(F,A_1)))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,$f20(F,A_1,B_6)),A_1)).
% 8.10/8.08 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B_6))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_6),image_pname_nat(F,A_1)))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,$f20(F,A_1,B_6))).
% 8.10/8.08 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B_6))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_6),image_pname_nat(F,A_1)))|B_6=image_pname_nat(F,$f20(F,A_1,B_6)).
% 8.10/8.08 0 [] -is_fun_a_bool(B_6)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B_6))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_6),image_nat_a(F,A_1)))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,$f21(F,A_1,B_6)),A_1)).
% 8.10/8.08 0 [] -is_fun_a_bool(B_6)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B_6))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_6),image_nat_a(F,A_1)))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,$f21(F,A_1,B_6))).
% 8.10/8.08 0 [] -is_fun_a_bool(B_6)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B_6))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_6),image_nat_a(F,A_1)))|B_6=image_nat_a(F,$f21(F,A_1,B_6)).
% 8.10/8.08 0 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B_6))| -hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,B_6),image_26036933t_bool(F,A_1)))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,$f22(F,A_1,B_6)),A_1)).
% 8.10/8.08 0 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B_6))| -hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,B_6),image_26036933t_bool(F,A_1)))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,$f22(F,A_1,B_6))).
% 8.10/8.08 0 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B_6))| -hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,B_6),image_26036933t_bool(F,A_1)))|B_6=image_26036933t_bool(F,$f22(F,A_1,B_6)).
% 8.10/8.08 0 [] -is_fun1661590463l_bool(B_6)| -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B_6))| -hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,B_6),image_1655916159e_bool(F,A_1)))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,$f23(F,A_1,B_6)),A_1)).
% 8.10/8.08 0 [] -is_fun1661590463l_bool(B_6)| -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B_6))| -hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,B_6),image_1655916159e_bool(F,A_1)))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,$f23(F,A_1,B_6))).
% 8.10/8.08 0 [] -is_fun1661590463l_bool(B_6)| -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B_6))| -hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,B_6),image_1655916159e_bool(F,A_1)))|B_6=image_1655916159e_bool(F,$f23(F,A_1,B_6)).
% 8.10/8.08 0 [] -is_fun949378684l_bool(B_6)| -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B_6))| -hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,B_6),image_nat_fun_a_bool(F,A_1)))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,$f24(F,A_1,B_6)),A_1)).
% 8.10/8.08 0 [] -is_fun949378684l_bool(B_6)| -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B_6))| -hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,B_6),image_nat_fun_a_bool(F,A_1)))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,$f24(F,A_1,B_6))).
% 8.10/8.08 0 [] -is_fun949378684l_bool(B_6)| -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B_6))| -hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,B_6),image_nat_fun_a_bool(F,A_1)))|B_6=image_nat_fun_a_bool(F,$f24(F,A_1,B_6)).
% 8.10/8.08 0 [] -is_fun_pname_bool(B_6)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B_6))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_6),image_nat_pname(F,A_1)))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,$f25(F,A_1,B_6)),A_1)).
% 8.10/8.08 0 [] -is_fun_pname_bool(B_6)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B_6))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_6),image_nat_pname(F,A_1)))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,$f25(F,A_1,B_6))).
% 8.10/8.08 0 [] -is_fun_pname_bool(B_6)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B_6))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_6),image_nat_pname(F,A_1)))|B_6=image_nat_pname(F,$f25(F,A_1,B_6)).
% 8.10/8.08 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B_6))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_6),image_nat_nat(F,A_1)))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,$f26(F,A_1,B_6)),A_1)).
% 8.10/8.08 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B_6))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_6),image_nat_nat(F,A_1)))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,$f26(F,A_1,B_6))).
% 8.10/8.08 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B_6))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_6),image_nat_nat(F,A_1)))|B_6=image_nat_nat(F,$f26(F,A_1,B_6)).
% 8.10/8.08 0 [] -is_fun_a_bool(B_6)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B_6))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_6),image_pname_a(F,A_1)))|is_fun_pname_bool($f27(F,A_1,B_6)).
% 8.10/8.08 0 [] -is_fun_a_bool(B_6)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B_6))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_6),image_pname_a(F,A_1)))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,$f27(F,A_1,B_6)),A_1)).
% 8.10/8.08 0 [] -is_fun_a_bool(B_6)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B_6))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_6),image_pname_a(F,A_1)))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,$f27(F,A_1,B_6))).
% 8.10/8.08 0 [] -is_fun_a_bool(B_6)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B_6))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_6),image_pname_a(F,A_1)))|B_6=image_pname_a(F,$f27(F,A_1,B_6)).
% 8.10/8.08 0 [] -hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,hAPP_nat_bool(F,$f28(Na,N_3,F))),hAPP_nat_bool(F,hAPP_nat_nat(suc,$f28(Na,N_3,F)))))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Na),N_3))|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,hAPP_nat_bool(F,Na)),hAPP_nat_bool(F,N_3))).
% 8.10/8.08 0 [] -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_n1025906991e_bool(F,$f29(Na,N_3,F))),hAPP_n1025906991e_bool(F,hAPP_nat_nat(suc,$f29(Na,N_3,F)))))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Na),N_3))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_n1025906991e_bool(F,Na)),hAPP_n1025906991e_bool(F,N_3))).
% 8.10/8.08 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_n1699378549t_bool(F,$f30(Na,N_3,F))),hAPP_n1699378549t_bool(F,hAPP_nat_nat(suc,$f30(Na,N_3,F)))))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Na),N_3))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_n1699378549t_bool(F,Na)),hAPP_n1699378549t_bool(F,N_3))).
% 8.10/8.08 0 [] -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_nat_fun_a_bool(F,$f31(Na,N_3,F))),hAPP_nat_fun_a_bool(F,hAPP_nat_nat(suc,$f31(Na,N_3,F)))))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Na),N_3))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_nat_fun_a_bool(F,Na)),hAPP_nat_fun_a_bool(F,N_3))).
% 8.10/8.08 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(F,$f32(Na,N_3,F))),hAPP_nat_nat(F,hAPP_nat_nat(suc,$f32(Na,N_3,F)))))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Na),N_3))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(F,Na)),hAPP_nat_nat(F,N_3))).
% 8.10/8.08 0 [] hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_1))| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_nat_pname(F,A_1)))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f33(F,A_1)),A_1)).
% 8.10/8.08 0 [] hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_1))| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_nat_pname(F,A_1)))| -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_1)),hAPP_p1499970991t_bool(cOMBC_nat_pname_bool(cOMBB_1212655066ol_nat(fe_qual_pname,F)),hAPP_nat_pname(F,$f33(F,A_1))))))).
% 8.10/8.08 0 [] hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_1))| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_a_pname(F,A_1)))|is_a($f34(F,A_1)).
% 8.10/8.08 0 [] hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_1))| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_a_pname(F,A_1)))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,$f34(F,A_1)),A_1)).
% 8.10/8.08 0 [] hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_1))| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_a_pname(F,A_1)))| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),A_1)),hAPP_p1534023578a_bool(cOMBC_a_pname_bool(cOMBB_610033911bool_a(fe_qual_pname,F)),hAPP_a_pname(F,$f34(F,A_1))))))).
% 8.10/8.08 0 [] hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_pname_pname(F,A_1)))|is_pname($f35(F,A_1)).
% 8.10/8.08 0 [] hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_pname_pname(F,A_1)))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,$f35(F,A_1)),A_1)).
% 8.10/8.08 0 [] hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_pname_pname(F,A_1)))| -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_1)),hAPP_p61793385e_bool(cOMBC_1149511130e_bool(cOMBB_542850580_pname(fe_qual_pname,F)),hAPP_pname_pname(F,$f35(F,A_1))))))).
% 8.10/8.08 0 [] hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A_1))| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1921560913_pname(F,A_1)))|hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,$f36(F,A_1)),A_1)).
% 8.10/8.08 0 [] hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A_1))| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1921560913_pname(F,A_1)))| -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fconj,hAPP_f1246832597l_bool(cOMBC_1245412066l_bool(member_fun_nat_bool),A_1)),hAPP_p130839763l_bool(cOMBC_615407716e_bool(cOMBB_141086128t_bool(fe_qual_pname,F)),hAPP_f1291551745_pname(F,$f36(F,A_1))))))).
% 8.10/8.08 0 [] hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A_1))| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1283814551_pname(F,A_1)))|is_fun_pname_bool($f37(F,A_1)).
% 8.10/8.08 0 [] hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A_1))| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1283814551_pname(F,A_1)))|hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,$f37(F,A_1)),A_1)).
% 8.10/8.08 0 [] hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A_1))| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1283814551_pname(F,A_1)))| -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),A_1)),hAPP_p338031245l_bool(cOMBC_1004116266e_bool(cOMBB_598082538e_bool(fe_qual_pname,F)),hAPP_f1297739591_pname(F,$f37(F,A_1))))))).
% 8.10/8.08 0 [] hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A_1))| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1854862208_pname(F,A_1)))|is_fun_a_bool($f38(F,A_1)).
% 8.10/8.08 0 [] hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A_1))| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1854862208_pname(F,A_1)))|hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool,$f38(F,A_1)),A_1)).
% 8.10/8.08 0 [] hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A_1))| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1854862208_pname(F,A_1)))| -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fconj,hAPP_f2117159681l_bool(cOMBC_1880041174l_bool(member_fun_a_bool),A_1)),hAPP_p1824510254l_bool(cOMBC_1738168533e_bool(cOMBB_1693087065a_bool(fe_qual_pname,F)),hAPP_f1128469712_pname(F,$f38(F,A_1))))))).
% 8.10/8.08 0 [] hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_1))| -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_nat_nat(F,A_1)))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f39(F,A_1)),A_1)).
% 8.10/8.08 0 [] hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_1))| -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_nat_nat(F,A_1)))| -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_1)),hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(cOMBB_800536526ol_nat(fe_qual_nat,F)),hAPP_nat_nat(F,$f39(F,A_1))))))).
% 8.10/8.08 0 [] hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_1))| -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_a_nat(F,A_1)))|is_a($f40(F,A_1)).
% 8.10/8.08 0 [] hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_1))| -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_a_nat(F,A_1)))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,$f40(F,A_1)),A_1)).
% 8.10/8.08 0 [] hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_1))| -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_a_nat(F,A_1)))| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),A_1)),hAPP_nat_fun_a_bool(cOMBC_a_nat_bool(cOMBB_1321347587bool_a(fe_qual_nat,F)),hAPP_a_nat(F,$f40(F,A_1))))))).
% 8.10/8.08 0 [] hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))| -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_pname_nat(F,A_1)))|is_pname($f41(F,A_1)).
% 8.10/8.08 0 [] hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))| -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_pname_nat(F,A_1)))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,$f41(F,A_1)),A_1)).
% 8.10/8.08 0 [] hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))| -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_pname_nat(F,A_1)))| -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_1)),hAPP_n1025906991e_bool(cOMBC_pname_nat_bool(cOMBB_523834888_pname(fe_qual_nat,F)),hAPP_pname_nat(F,$f41(F,A_1))))))).
% 8.10/8.08 0 [] hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A_1))| -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_496248727ol_nat(F,A_1)))|hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,$f42(F,A_1)),A_1)).
% 8.10/8.08 0 [] hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A_1))| -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_496248727ol_nat(F,A_1)))| -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fconj,hAPP_f1246832597l_bool(cOMBC_1245412066l_bool(member_fun_nat_bool),A_1)),hAPP_n215258509l_bool(cOMBC_385542954t_bool(cOMBB_1250273980t_bool(fe_qual_nat,F)),hAPP_f22106695ol_nat(F,$f42(F,A_1))))))).
% 8.10/8.08 0 [] hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A_1))| -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_1551609309ol_nat(F,A_1)))|is_fun_pname_bool($f43(F,A_1)).
% 8.10/8.08 0 [] hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A_1))| -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_1551609309ol_nat(F,A_1)))|hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,$f43(F,A_1)),A_1)).
% 8.10/8.08 0 [] hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A_1))| -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_1551609309ol_nat(F,A_1)))| -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),A_1)),hAPP_n850744903l_bool(cOMBC_1666426608t_bool(cOMBB_1896684278e_bool(fe_qual_nat,F)),hAPP_f921600141ol_nat(F,$f43(F,A_1))))))).
% 8.10/8.08 0 [] hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A_1))| -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_fun_a_bool_nat(F,A_1)))|is_fun_a_bool($f44(F,A_1)).
% 8.10/8.08 0 [] hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A_1))| -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_fun_a_bool_nat(F,A_1)))|hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool,$f44(F,A_1)),A_1)).
% 8.10/8.08 0 [] hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A_1))| -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_fun_a_bool_nat(F,A_1)))| -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fconj,hAPP_f2117159681l_bool(cOMBC_1880041174l_bool(member_fun_a_bool),A_1)),hAPP_n1414589940l_bool(cOMBC_619334683t_bool(cOMBB_164527437a_bool(fe_qual_nat,F)),hAPP_fun_a_bool_nat(F,$f44(F,A_1))))))).
% 8.10/8.08 0 [] hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_1))| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_nat_a(F,A_1)))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f45(F,A_1)),A_1)).
% 8.10/8.08 0 [] hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_1))| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_nat_a(F,A_1)))| -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_1)),hAPP_a_fun_nat_bool(cOMBC_nat_a_bool(cOMBB_1885489796ol_nat(fe_qual_a,F)),hAPP_nat_a(F,$f45(F,A_1))))))).
% 8.10/8.08 0 [] hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_1))| -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_26036933t_bool(F,A_1)))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f46(F,A_1)),A_1)).
% 8.10/8.08 0 [] hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_1))| -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_26036933t_bool(F,A_1)))| -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_1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(cOMBB_2026977092ol_nat(fe_qual_fun_nat_bool,F)),hAPP_n1699378549t_bool(F,$f46(F,A_1))))))).
% 8.10/8.08 0 [] hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_1))| -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_1655916159e_bool(F,A_1)))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f47(F,A_1)),A_1)).
% 8.10/8.08 0 [] hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_1))| -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_1655916159e_bool(F,A_1)))| -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_1)),hAPP_f1066163005t_bool(cOMBC_386238098l_bool(cOMBB_2117322052ol_nat(fe_qual533582459e_bool,F)),hAPP_n1025906991e_bool(F,$f47(F,A_1))))))).
% 8.10/8.08 0 [] hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_1))| -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_nat_fun_a_bool(F,A_1)))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f48(F,A_1)),A_1)).
% 8.10/8.08 0 [] hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_1))| -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_nat_fun_a_bool(F,A_1)))| -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_1)),hAPP_f282463732t_bool(cOMBC_1928494297l_bool(cOMBB_1823939024ol_nat(fe_qual_fun_a_bool,F)),hAPP_nat_fun_a_bool(F,$f48(F,A_1))))))).
% 8.10/8.08 0 [] hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))| -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_2129980159t_bool(F,A_1)))|is_pname($f49(F,A_1)).
% 8.10/8.08 0 [] hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))| -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_2129980159t_bool(F,A_1)))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,$f49(F,A_1)),A_1)).
% 8.10/8.08 0 [] hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))| -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_2129980159t_bool(F,A_1)))| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),A_1)),hAPP_f654413245e_bool(cOMBC_267053842l_bool(cOMBB_928955006_pname(fe_qual_fun_nat_bool,F)),hAPP_p1499970991t_bool(F,$f49(F,A_1))))))).
% 8.10/8.08 0 [] hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))| -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_47868345e_bool(F,A_1)))|is_pname($f50(F,A_1)).
% 8.10/8.08 0 [] hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))| -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_47868345e_bool(F,A_1)))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,$f50(F,A_1)),A_1)).
% 8.10/8.08 0 [] hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))| -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_47868345e_bool(F,A_1)))| -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_1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(cOMBB_408569982_pname(fe_qual533582459e_bool,F)),hAPP_p61793385e_bool(F,$f50(F,A_1))))))).
% 8.10/8.08 0 [] hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))| -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_112932426a_bool(F,A_1)))|is_pname($f51(F,A_1)).
% 8.10/8.08 0 [] hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))| -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_112932426a_bool(F,A_1)))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,$f51(F,A_1)),A_1)).
% 8.10/8.08 0 [] hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))| -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_112932426a_bool(F,A_1)))| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),A_1)),hAPP_f1794073134e_bool(cOMBC_445755039l_bool(cOMBB_392435466_pname(fe_qual_fun_a_bool,F)),hAPP_p1534023578a_bool(F,$f51(F,A_1))))))).
% 8.10/8.08 0 [] hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_1))| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_a_a(F,A_1)))|is_a($f52(F,A_1)).
% 8.10/8.08 0 [] hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_1))| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_a_a(F,A_1)))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,$f52(F,A_1)),A_1)).
% 8.10/8.08 0 [] hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_1))| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_a_a(F,A_1)))| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),A_1)),hAPP_a_fun_a_bool(cOMBC_a_a_bool(cOMBB_a_fun_a_bool_a(fe_qual_a,F)),hAPP_a_a(F,$f52(F,A_1))))))).
% 8.10/8.08 0 [] hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_1))| -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_a_fun_nat_bool(F,A_1)))|is_a($f53(F,A_1)).
% 8.10/8.08 0 [] hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_1))| -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_a_fun_nat_bool(F,A_1)))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,$f53(F,A_1)),A_1)).
% 8.10/8.09 0 [] hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_1))| -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_a_fun_nat_bool(F,A_1)))| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),A_1)),hAPP_f1549043526a_bool(cOMBC_777206479l_bool(cOMBB_743407885bool_a(fe_qual_fun_nat_bool,F)),hAPP_a_fun_nat_bool(F,$f53(F,A_1))))))).
% 8.10/8.09 0 [] hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_1))| -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_819518260e_bool(F,A_1)))|is_a($f54(F,A_1)).
% 8.10/8.09 0 [] hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_1))| -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_819518260e_bool(F,A_1)))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,$f54(F,A_1)),A_1)).
% 8.10/8.09 0 [] hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_1))| -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_819518260e_bool(F,A_1)))| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),A_1)),hAPP_f1051908748a_bool(cOMBC_1834145417l_bool(cOMBB_1137537805bool_a(fe_qual533582459e_bool,F)),hAPP_a93125764e_bool(F,$f54(F,A_1))))))).
% 8.10/8.09 0 [] hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_1))| -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_a_fun_a_bool(F,A_1)))|is_a($f55(F,A_1)).
% 8.10/8.09 0 [] hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_1))| -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_a_fun_a_bool(F,A_1)))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,$f55(F,A_1)),A_1)).
% 8.10/8.09 0 [] hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_1))| -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_a_fun_a_bool(F,A_1)))| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),A_1)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(cOMBB_472261505bool_a(fe_qual_fun_a_bool,F)),hAPP_a_fun_a_bool(F,$f55(F,A_1))))))).
% 8.10/8.09 0 [] hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_pname_a(F,A_1)))|is_pname($f56(F,A_1)).
% 8.10/8.09 0 [] hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_pname_a(F,A_1)))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,$f56(F,A_1)),A_1)).
% 8.10/8.09 0 [] hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A_1))| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_pname_a(F,A_1)))| -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_1)),hAPP_a93125764e_bool(cOMBC_pname_a_bool(cOMBB_1897541054_pname(fe_qual_a,F)),hAPP_pname_a(F,$f56(F,A_1))))))).
% 8.10/8.09 0 [] B_1!=hAPP_pname_nat(F,X_3)| -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_3),A_1))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,B_1),image_pname_nat(F,A_1))).
% 8.10/8.09 0 [] B_1!=hAPP_a_nat(F,X_3)| -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_3),A_1))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,B_1),image_a_nat(F,A_1))).
% 8.10/8.09 0 [] B_1!=hAPP_nat_pname(F,X_3)| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_3),A_1))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,B_1),image_nat_pname(F,A_1))).
% 8.10/8.09 0 [] B_1!=hAPP_nat_a(F,X_3)| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_3),A_1))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,B_1),image_nat_a(F,A_1))).
% 8.10/8.09 0 [] B_1!=hAPP_pname_a(F,X_3)| -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_3),A_1))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,B_1),image_pname_a(F,A_1))).
% 8.10/8.09 0 [] -is_fun_pname_bool(A_1)| -is_fun_pname_bool(B_6)| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),B_6))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_6),A_1))|A_1=B_6.
% 8.10/8.09 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_1),B_6))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_6),A_1))|A_1=B_6.
% 8.10/8.09 0 [] -is_fun_a_bool(A_1)| -is_fun_a_bool(B_6)| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),B_6))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_6),A_1))|A_1=B_6.
% 8.10/8.09 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_1),B_6))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_1),A_1))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_1),B_6)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),B_6))| -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C_1),A_1))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C_1),B_6)).
% 8.10/8.09 0 [] -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),B_6))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,C_1),A_1))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,C_1),B_6)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_3),B_6))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_3),insert_nat(B_1,B_6))).
% 8.10/8.09 0 [] A_3!=B_1|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_3),insert_nat(B_1,B_6))).
% 8.10/8.09 0 [] -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_3),B_6))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_3),insert_pname(B_1,B_6))).
% 8.10/8.09 0 [] A_3!=B_1|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_3),insert_pname(B_1,B_6))).
% 8.10/8.09 0 [] -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_3),B_6))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_3),insert_a(B_1,B_6))).
% 8.10/8.09 0 [] A_3!=B_1|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_3),insert_a(B_1,B_6))).
% 8.10/8.09 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_3),insert_nat(B_1,A_1)))|A_3=B_1|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_3),A_1)).
% 8.10/8.09 0 [] -is_pname(A_3)| -is_pname(B_1)| -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_3),insert_pname(B_1,A_1)))|A_3=B_1|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_3),A_1)).
% 8.10/8.09 0 [] -is_a(A_3)| -is_a(B_1)| -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_3),insert_a(B_1,A_1)))|A_3=B_1|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_3),A_1)).
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(Pa,K_2))|hBOOL(hAPP_nat_bool(Pa,hAPP_nat_nat(suc,$f57(I_1,Pa,K_2))))|hBOOL(hAPP_nat_bool(Pa,hAPP_nat_nat(minus_minus_nat(K_2),I_1))).
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(Pa,K_2))| -hBOOL(hAPP_nat_bool(Pa,$f57(I_1,Pa,K_2)))|hBOOL(hAPP_nat_bool(Pa,hAPP_nat_nat(minus_minus_nat(K_2),I_1))).
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,N)),M_3))|M_3=hAPP_nat_nat(suc,$f58(N,M_3)).
% 8.10/8.09 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_3),insert_nat(A_3,B_6))).
% 8.10/8.09 0 [] hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_3),insert_pname(A_3,B_6))).
% 8.10/8.09 0 [] hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_3),insert_a(A_3,B_6))).
% 8.10/8.09 0 [] insert_fun_nat_bool(A_3,B_6)=collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fdisj,hAPP_f103356543l_bool(cOMBC_1693257480l_bool(fe_qual_fun_nat_bool),A_3)),hAPP_f1246832597l_bool(cOMBC_1245412066l_bool(member_fun_nat_bool),B_6))).
% 8.10/8.09 0 [] insert1325755072e_bool(A_3,B_6)=collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fe_qual533582459e_bool),A_3)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),B_6))).
% 8.10/8.09 0 [] insert_fun_a_bool(A_3,B_6)=collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj,hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fe_qual_fun_a_bool),A_3)),hAPP_f2117159681l_bool(cOMBC_1880041174l_bool(member_fun_a_bool),B_6))).
% 8.10/8.09 0 [] insert_nat(A_3,B_6)=collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fe_qual_nat),A_3)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),B_6))).
% 8.10/8.09 0 [] insert_pname(A_3,B_6)=collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fe_qual_pname),A_3)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),B_6))).
% 8.10/8.09 0 [] insert_a(A_3,B_6)=collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fe_qual_a),A_3)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),B_6))).
% 8.10/8.09 0 [] insert_pname(A_3,collect_pname(Pa))=collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fimplies,cOMBB_647938656_pname(fNot,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fe_qual_pname),A_3))),Pa)).
% 8.10/8.09 0 [] insert_fun_nat_bool(A_3,collect_fun_nat_bool(Pa))=collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fimplies,cOMBB_238756964t_bool(fNot,hAPP_f103356543l_bool(cOMBC_1693257480l_bool(fe_qual_fun_nat_bool),A_3))),Pa)).
% 8.10/8.09 0 [] insert1325755072e_bool(A_3,collec1974731493e_bool(Pa))=collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fimplies,cOMBB_307249310e_bool(fNot,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fe_qual533582459e_bool),A_3))),Pa)).
% 8.10/8.09 0 [] insert_fun_a_bool(A_3,collect_fun_a_bool(Pa))=collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fimplies,cOMBB_2140588453a_bool(fNot,hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fe_qual_fun_a_bool),A_3))),Pa)).
% 8.10/8.09 0 [] insert_nat(A_3,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_3))),Pa)).
% 8.10/8.09 0 [] insert_a(A_3,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_3))),Pa)).
% 8.10/8.09 0 [] insert_pname(X_3,insert_pname(X_3,A_1))=insert_pname(X_3,A_1).
% 8.10/8.09 0 [] insert_nat(X_3,insert_nat(X_3,A_1))=insert_nat(X_3,A_1).
% 8.10/8.09 0 [] insert_a(X_3,insert_a(X_3,A_1))=insert_a(X_3,A_1).
% 8.10/8.09 0 [] insert_pname(X_3,insert_pname(Y_2,A_1))=insert_pname(Y_2,insert_pname(X_3,A_1)).
% 8.10/8.09 0 [] insert_nat(X_3,insert_nat(Y_2,A_1))=insert_nat(Y_2,insert_nat(X_3,A_1)).
% 8.10/8.09 0 [] insert_a(X_3,insert_a(Y_2,A_1))=insert_a(Y_2,insert_a(X_3,A_1)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_3),insert_nat(B_1,A_1)))|A_3=B_1|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_3),A_1)).
% 8.10/8.09 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_3),insert_nat(B_1,A_1)))|A_3!=B_1.
% 8.10/8.09 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_3),insert_nat(B_1,A_1)))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_3),A_1)).
% 8.10/8.09 0 [] -is_pname(A_3)| -is_pname(B_1)| -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_3),insert_pname(B_1,A_1)))|A_3=B_1|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_3),A_1)).
% 8.10/8.09 0 [] -is_pname(A_3)| -is_pname(B_1)|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_3),insert_pname(B_1,A_1)))|A_3!=B_1.
% 8.10/8.09 0 [] -is_pname(A_3)| -is_pname(B_1)|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_3),insert_pname(B_1,A_1)))| -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_3),A_1)).
% 8.10/8.09 0 [] -is_a(A_3)| -is_a(B_1)| -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_3),insert_a(B_1,A_1)))|A_3=B_1|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_3),A_1)).
% 8.10/8.09 0 [] -is_a(A_3)| -is_a(B_1)|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_3),insert_a(B_1,A_1)))|A_3!=B_1.
% 8.10/8.09 0 [] -is_a(A_3)| -is_a(B_1)|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_3),insert_a(B_1,A_1)))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_3),A_1)).
% 8.10/8.09 0 [] -is_pname(Y_2)| -is_pname(X_3)| -hBOOL(hAPP_pname_bool(insert_pname(Y_2,A_1),X_3))|Y_2=X_3|hBOOL(hAPP_pname_bool(A_1,X_3)).
% 8.10/8.09 0 [] -is_pname(Y_2)| -is_pname(X_3)|hBOOL(hAPP_pname_bool(insert_pname(Y_2,A_1),X_3))|Y_2!=X_3.
% 8.10/8.09 0 [] -is_pname(Y_2)| -is_pname(X_3)|hBOOL(hAPP_pname_bool(insert_pname(Y_2,A_1),X_3))| -hBOOL(hAPP_pname_bool(A_1,X_3)).
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(insert_nat(Y_2,A_1),X_3))|Y_2=X_3|hBOOL(hAPP_nat_bool(A_1,X_3)).
% 8.10/8.09 0 [] hBOOL(hAPP_nat_bool(insert_nat(Y_2,A_1),X_3))|Y_2!=X_3.
% 8.10/8.09 0 [] hBOOL(hAPP_nat_bool(insert_nat(Y_2,A_1),X_3))| -hBOOL(hAPP_nat_bool(A_1,X_3)).
% 8.10/8.09 0 [] -is_a(Y_2)| -is_a(X_3)| -hBOOL(hAPP_a_bool(insert_a(Y_2,A_1),X_3))|Y_2=X_3|hBOOL(hAPP_a_bool(A_1,X_3)).
% 8.10/8.09 0 [] -is_a(Y_2)| -is_a(X_3)|hBOOL(hAPP_a_bool(insert_a(Y_2,A_1),X_3))|Y_2!=X_3.
% 8.10/8.09 0 [] -is_a(Y_2)| -is_a(X_3)|hBOOL(hAPP_a_bool(insert_a(Y_2,A_1),X_3))| -hBOOL(hAPP_a_bool(A_1,X_3)).
% 8.10/8.09 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_3),A_1))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_3),B_6))|insert_nat(X_3,A_1)!=insert_nat(X_3,B_6)|A_1=B_6.
% 8.10/8.09 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_3),A_1))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_3),B_6))|insert_nat(X_3,A_1)=insert_nat(X_3,B_6)|A_1!=B_6.
% 8.10/8.09 0 [] -is_fun_pname_bool(B_6)| -is_fun_pname_bool(A_1)|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_3),A_1))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_3),B_6))|insert_pname(X_3,A_1)!=insert_pname(X_3,B_6)|A_1=B_6.
% 8.10/8.09 0 [] -is_fun_pname_bool(B_6)| -is_fun_pname_bool(A_1)|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_3),A_1))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_3),B_6))|insert_pname(X_3,A_1)=insert_pname(X_3,B_6)|A_1!=B_6.
% 8.10/8.09 0 [] -is_fun_a_bool(B_6)| -is_fun_a_bool(A_1)|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_3),A_1))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_3),B_6))|insert_a(X_3,A_1)!=insert_a(X_3,B_6)|A_1=B_6.
% 8.10/8.09 0 [] -is_fun_a_bool(B_6)| -is_fun_a_bool(A_1)|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_3),A_1))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_3),B_6))|insert_a(X_3,A_1)=insert_a(X_3,B_6)|A_1!=B_6.
% 8.10/8.09 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_3),B_6))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_3),insert_nat(B_1,B_6))).
% 8.10/8.09 0 [] -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_3),B_6))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_3),insert_pname(B_1,B_6))).
% 8.10/8.09 0 [] -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_3),B_6))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_3),insert_a(B_1,B_6))).
% 8.10/8.09 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_3),A_1))|insert_nat(A_3,A_1)=A_1.
% 8.10/8.09 0 [] -is_fun_pname_bool(A_1)| -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_3),A_1))|insert_pname(A_3,A_1)=A_1.
% 8.10/8.09 0 [] -is_fun_a_bool(A_1)| -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_3),A_1))|insert_a(A_3,A_1)=A_1.
% 8.10/8.09 0 [] hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),A_1)).
% 8.10/8.09 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_1),A_1)).
% 8.10/8.09 0 [] hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),A_1)).
% 8.10/8.09 0 [] -is_fun_pname_bool(A_1)| -is_fun_pname_bool(B_6)|A_1!=B_6|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),B_6)).
% 8.10/8.09 0 [] -is_fun_pname_bool(A_1)| -is_fun_pname_bool(B_6)|A_1!=B_6|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_6),A_1)).
% 8.10/8.09 0 [] -is_fun_pname_bool(A_1)| -is_fun_pname_bool(B_6)|A_1=B_6| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),B_6))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_6),A_1)).
% 8.10/8.09 0 [] A_1!=B_6|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_1),B_6)).
% 8.10/8.09 0 [] A_1!=B_6|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_6),A_1)).
% 8.10/8.09 0 [] A_1=B_6| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_1),B_6))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_6),A_1)).
% 8.10/8.09 0 [] -is_fun_a_bool(A_1)| -is_fun_a_bool(B_6)|A_1!=B_6|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),B_6)).
% 8.10/8.09 0 [] -is_fun_a_bool(A_1)| -is_fun_a_bool(B_6)|A_1!=B_6|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_6),A_1)).
% 8.10/8.09 0 [] -is_fun_a_bool(A_1)| -is_fun_a_bool(B_6)|A_1=B_6| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),B_6))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_6),A_1)).
% 8.10/8.09 0 [] A_1!=B_6|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),B_6)).
% 8.10/8.09 0 [] A_1!=B_6|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_1),B_6)).
% 8.10/8.09 0 [] A_1!=B_6|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),B_6)).
% 8.10/8.09 0 [] A_1!=B_6|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_6),A_1)).
% 8.10/8.09 0 [] A_1!=B_6|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_6),A_1)).
% 8.10/8.09 0 [] A_1!=B_6|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_6),A_1)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_1),B_6))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_3),A_1))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_3),B_6)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),B_6))| -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_3),A_1))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_3),B_6)).
% 8.10/8.09 0 [] -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),B_6))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_3),A_1))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_3),B_6)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_3),A_1))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_1),B_6))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_3),B_6)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_3),A_1))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),B_6))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_3),B_6)).
% 8.10/8.09 0 [] -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_3),A_1))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),B_6))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_3),B_6)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_1),B_6))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_3),A_1))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_3),B_6)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),B_6))| -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_3),A_1))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_3),B_6)).
% 8.10/8.09 0 [] -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),B_6))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_3),A_1))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_3),B_6)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_3),A_1))|hBOOL(hAPP_nat_bool(A_1,X_3)).
% 8.10/8.09 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_3),A_1))| -hBOOL(hAPP_nat_bool(A_1,X_3)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_3),A_1))|hBOOL(hAPP_pname_bool(A_1,X_3)).
% 8.10/8.09 0 [] hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_3),A_1))| -hBOOL(hAPP_pname_bool(A_1,X_3)).
% 8.10/8.09 0 [] -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_3),A_1))|hBOOL(hAPP_a_bool(A_1,X_3)).
% 8.10/8.09 0 [] hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_3),A_1))| -hBOOL(hAPP_a_bool(A_1,X_3)).
% 8.10/8.09 0 [] -is_fun_a_bool(Pa)|collect_a(Pa)=Pa.
% 8.10/8.09 0 [] -is_fun_pname_bool(Pa)|collect_pname(Pa)=Pa.
% 8.10/8.09 0 [] collect_fun_nat_bool(Pa)=Pa.
% 8.10/8.09 0 [] -is_fun1661590463l_bool(Pa)|collec1974731493e_bool(Pa)=Pa.
% 8.10/8.09 0 [] -is_fun949378684l_bool(Pa)|collect_fun_a_bool(Pa)=Pa.
% 8.10/8.09 0 [] collect_nat(Pa)=Pa.
% 8.10/8.09 0 [] -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),B_6))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_6),C_6))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),C_6)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_1),B_6))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_6),C_6))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_1),C_6)).
% 8.10/8.09 0 [] -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),B_6))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_6),C_6))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),C_6)).
% 8.10/8.09 0 [] A_1!=B_6|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),B_6)).
% 8.10/8.09 0 [] A_1!=B_6|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_6),A_1)).
% 8.10/8.09 0 [] A_1!=B_6|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_1),B_6)).
% 8.10/8.09 0 [] A_1!=B_6|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_6),A_1)).
% 8.10/8.09 0 [] A_1!=B_6|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),B_6)).
% 8.10/8.09 0 [] A_1!=B_6|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_6),A_1)).
% 8.10/8.09 0 [] -is_a(Z_1)| -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,Z_1),image_pname_a(F,A_1)))|is_pname($f59(Z_1,F,A_1)).
% 8.10/8.09 0 [] -is_a(Z_1)| -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,Z_1),image_pname_a(F,A_1)))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,$f59(Z_1,F,A_1)),A_1)).
% 8.10/8.09 0 [] -is_a(Z_1)| -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,Z_1),image_pname_a(F,A_1)))|Z_1=hAPP_pname_a(F,$f59(Z_1,F,A_1)).
% 8.10/8.09 0 [] -is_a(Z_1)|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,Z_1),image_pname_a(F,A_1)))| -is_pname(X_1)| -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A_1))|Z_1!=hAPP_pname_a(F,X_1).
% 8.10/8.09 0 [] -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_3),A_1))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_pname_nat(F,X_3)),image_pname_nat(F,A_1))).
% 8.10/8.09 0 [] -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_3),A_1))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_a_nat(F,X_3)),image_a_nat(F,A_1))).
% 8.10/8.09 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_3),A_1))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_nat_pname(F,X_3)),image_nat_pname(F,A_1))).
% 8.10/8.09 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_3),A_1))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_nat_a(F,X_3)),image_nat_a(F,A_1))).
% 8.10/8.09 0 [] -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_3),A_1))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(F,X_3)),image_pname_a(F,A_1))).
% 8.10/8.09 0 [] -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_3),A_1))|B_1!=hAPP_pname_nat(F,X_3)|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,B_1),image_pname_nat(F,A_1))).
% 8.10/8.09 0 [] -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_3),A_1))|B_1!=hAPP_a_nat(F,X_3)|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,B_1),image_a_nat(F,A_1))).
% 8.10/8.09 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_3),A_1))|B_1!=hAPP_nat_pname(F,X_3)|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,B_1),image_nat_pname(F,A_1))).
% 8.10/8.09 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_3),A_1))|B_1!=hAPP_nat_a(F,X_3)|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,B_1),image_nat_a(F,A_1))).
% 8.10/8.09 0 [] -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_3),A_1))|B_1!=hAPP_pname_a(F,X_3)|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,B_1),image_pname_a(F,A_1))).
% 8.10/8.09 0 [] insert_fun_nat_bool(X_1,Xa)=collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fdisj,hAPP_f103356543l_bool(cOMBC_1693257480l_bool(fe_qual_fun_nat_bool),X_1)),hAPP_f1246832597l_bool(cOMBC_1245412066l_bool(member_fun_nat_bool),Xa))).
% 8.10/8.09 0 [] insert1325755072e_bool(X_1,Xa)=collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fe_qual533582459e_bool),X_1)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),Xa))).
% 8.10/8.09 0 [] insert_fun_a_bool(X_1,Xa)=collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj,hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fe_qual_fun_a_bool),X_1)),hAPP_f2117159681l_bool(cOMBC_1880041174l_bool(member_fun_a_bool),Xa))).
% 8.10/8.09 0 [] insert_nat(X_1,Xa)=collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fe_qual_nat),X_1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),Xa))).
% 8.10/8.09 0 [] insert_pname(X_1,Xa)=collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fe_qual_pname),X_1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),Xa))).
% 8.10/8.09 0 [] insert_a(X_1,Xa)=collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fe_qual_a),X_1)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),Xa))).
% 8.10/8.09 0 [] hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_6),insert_pname(A_3,B_6))).
% 8.10/8.09 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_6),insert_nat(A_3,B_6))).
% 8.10/8.09 0 [] hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_6),insert_a(A_3,B_6))).
% 8.10/8.09 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,insert_nat(X_3,A_1)),B_6))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_3),B_6)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,insert_nat(X_3,A_1)),B_6))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_1),B_6)).
% 8.10/8.09 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,insert_nat(X_3,A_1)),B_6))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_3),B_6))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_1),B_6)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,insert_pname(X_3,A_1)),B_6))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_3),B_6)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,insert_pname(X_3,A_1)),B_6))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),B_6)).
% 8.10/8.09 0 [] hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,insert_pname(X_3,A_1)),B_6))| -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_3),B_6))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),B_6)).
% 8.10/8.09 0 [] -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X_3,A_1)),B_6))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_3),B_6)).
% 8.10/8.09 0 [] -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X_3,A_1)),B_6))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),B_6)).
% 8.10/8.09 0 [] hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X_3,A_1)),B_6))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_3),B_6))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),B_6)).
% 8.10/8.09 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_3),A_1))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_1),insert_nat(X_3,B_6)))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_1),B_6)).
% 8.10/8.09 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_3),A_1))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_1),insert_nat(X_3,B_6)))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_1),B_6)).
% 8.10/8.09 0 [] hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_3),A_1))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),insert_pname(X_3,B_6)))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),B_6)).
% 8.10/8.09 0 [] hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_3),A_1))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),insert_pname(X_3,B_6)))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),B_6)).
% 8.10/8.09 0 [] hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_3),A_1))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),insert_a(X_3,B_6)))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),B_6)).
% 8.10/8.09 0 [] hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_3),A_1))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),insert_a(X_3,B_6)))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),B_6)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),B_6))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),insert_pname(B_1,B_6))).
% 8.10/8.09 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_1),B_6))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_1),insert_nat(B_1,B_6))).
% 8.10/8.09 0 [] -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),B_6))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),insert_a(B_1,B_6))).
% 8.10/8.09 0 [] -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,C_6),D_1))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,insert_pname(A_3,C_6)),insert_pname(A_3,D_1))).
% 8.10/8.09 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,C_6),D_1))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,insert_nat(A_3,C_6)),insert_nat(A_3,D_1))).
% 8.10/8.09 0 [] -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,C_6),D_1))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(A_3,C_6)),insert_a(A_3,D_1))).
% 8.10/8.09 0 [] image_a_pname(F,insert_a(A_3,B_6))=insert_pname(hAPP_a_pname(F,A_3),image_a_pname(F,B_6)).
% 8.10/8.09 0 [] image_a_nat(F,insert_a(A_3,B_6))=insert_nat(hAPP_a_nat(F,A_3),image_a_nat(F,B_6)).
% 8.10/8.09 0 [] image_nat_a(F,insert_nat(A_3,B_6))=insert_a(hAPP_nat_a(F,A_3),image_nat_a(F,B_6)).
% 8.10/8.09 0 [] image_pname_a(F,insert_pname(A_3,B_6))=insert_a(hAPP_pname_a(F,A_3),image_pname_a(F,B_6)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_3),A_1))|insert_pname(hAPP_pname_pname(F,X_3),image_pname_pname(F,A_1))=image_pname_pname(F,A_1).
% 8.10/8.09 0 [] -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_3),A_1))|insert_nat(hAPP_pname_nat(F,X_3),image_pname_nat(F,A_1))=image_pname_nat(F,A_1).
% 8.10/8.09 0 [] -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_3),A_1))|insert_pname(hAPP_a_pname(F,X_3),image_a_pname(F,A_1))=image_a_pname(F,A_1).
% 8.10/8.09 0 [] -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_3),A_1))|insert_nat(hAPP_a_nat(F,X_3),image_a_nat(F,A_1))=image_a_nat(F,A_1).
% 8.10/8.09 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_3),A_1))|insert_a(hAPP_nat_a(F,X_3),image_nat_a(F,A_1))=image_nat_a(F,A_1).
% 8.10/8.09 0 [] -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_3),A_1))|insert_a(hAPP_pname_a(F,X_3),image_pname_a(F,A_1))=image_pname_a(F,A_1).
% 8.10/8.09 0 [] -is_fun_a_bool(B_6)| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_6),image_nat_a(F,A_1)))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,$f60(B_6,F,A_1)),A_1)).
% 8.10/8.09 0 [] -is_fun_a_bool(B_6)| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_6),image_nat_a(F,A_1)))|B_6=image_nat_a(F,$f60(B_6,F,A_1)).
% 8.10/8.09 0 [] -is_fun_a_bool(B_6)|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_6),image_nat_a(F,A_1)))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,AA),A_1))|B_6!=image_nat_a(F,AA).
% 8.10/8.09 0 [] -is_fun_pname_bool(B_6)| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_6),image_a_pname(F,A_1)))|is_fun_a_bool($f61(B_6,F,A_1)).
% 8.10/8.09 0 [] -is_fun_pname_bool(B_6)| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_6),image_a_pname(F,A_1)))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,$f61(B_6,F,A_1)),A_1)).
% 8.10/8.09 0 [] -is_fun_pname_bool(B_6)| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_6),image_a_pname(F,A_1)))|B_6=image_a_pname(F,$f61(B_6,F,A_1)).
% 8.10/8.09 0 [] -is_fun_pname_bool(B_6)|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_6),image_a_pname(F,A_1)))| -is_fun_a_bool(AA)| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,AA),A_1))|B_6!=image_a_pname(F,AA).
% 8.10/8.09 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_6),image_a_nat(F,A_1)))|is_fun_a_bool($f62(B_6,F,A_1)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_6),image_a_nat(F,A_1)))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,$f62(B_6,F,A_1)),A_1)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_6),image_a_nat(F,A_1)))|B_6=image_a_nat(F,$f62(B_6,F,A_1)).
% 8.10/8.09 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_6),image_a_nat(F,A_1)))| -is_fun_a_bool(AA)| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,AA),A_1))|B_6!=image_a_nat(F,AA).
% 8.10/8.09 0 [] -is_fun_a_bool(B_6)| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_6),image_pname_a(F,A_1)))|is_fun_pname_bool($f63(B_6,F,A_1)).
% 8.10/8.09 0 [] -is_fun_a_bool(B_6)| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_6),image_pname_a(F,A_1)))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,$f63(B_6,F,A_1)),A_1)).
% 8.10/8.09 0 [] -is_fun_a_bool(B_6)| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_6),image_pname_a(F,A_1)))|B_6=image_pname_a(F,$f63(B_6,F,A_1)).
% 8.10/8.09 0 [] -is_fun_a_bool(B_6)|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_6),image_pname_a(F,A_1)))| -is_fun_pname_bool(AA)| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,AA),A_1))|B_6!=image_pname_a(F,AA).
% 8.10/8.09 0 [] -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),B_6))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,image_a_pname(F,A_1)),image_a_pname(F,B_6))).
% 8.10/8.09 0 [] -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),B_6))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,image_a_nat(F,A_1)),image_a_nat(F,B_6))).
% 8.10/8.09 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_1),B_6))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,image_nat_a(F,A_1)),image_nat_a(F,B_6))).
% 8.10/8.09 0 [] -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),B_6))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,image_pname_a(F,A_1)),image_pname_a(F,B_6))).
% 8.10/8.09 0 [] -is_pname(B_1)| -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,B_1),image_nat_pname(F,A_1)))|B_1=hAPP_nat_pname(F,$f64(B_1,F,A_1)).
% 8.10/8.09 0 [] -is_pname(B_1)| -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,B_1),image_nat_pname(F,A_1)))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f64(B_1,F,A_1)),A_1)).
% 8.10/8.09 0 [] -is_a(B_1)| -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,B_1),image_nat_a(F,A_1)))|B_1=hAPP_nat_a(F,$f65(B_1,F,A_1)).
% 8.10/8.09 0 [] -is_a(B_1)| -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,B_1),image_nat_a(F,A_1)))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f65(B_1,F,A_1)),A_1)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,B_1),image_pname_nat(F,A_1)))|is_pname($f66(B_1,F,A_1)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,B_1),image_pname_nat(F,A_1)))|B_1=hAPP_pname_nat(F,$f66(B_1,F,A_1)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,B_1),image_pname_nat(F,A_1)))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,$f66(B_1,F,A_1)),A_1)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,B_1),image_a_nat(F,A_1)))|is_a($f67(B_1,F,A_1)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,B_1),image_a_nat(F,A_1)))|B_1=hAPP_a_nat(F,$f67(B_1,F,A_1)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,B_1),image_a_nat(F,A_1)))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,$f67(B_1,F,A_1)),A_1)).
% 8.10/8.09 0 [] -is_a(B_1)| -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,B_1),image_pname_a(F,A_1)))|is_pname($f68(B_1,F,A_1)).
% 8.10/8.09 0 [] -is_a(B_1)| -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,B_1),image_pname_a(F,A_1)))|B_1=hAPP_pname_a(F,$f68(B_1,F,A_1)).
% 8.10/8.09 0 [] -is_a(B_1)| -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,B_1),image_pname_a(F,A_1)))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,$f68(B_1,F,A_1)),A_1)).
% 8.10/8.09 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f69(B_6,A_1)),A_1))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_1),B_6)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f69(B_6,A_1)),B_6))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_1),B_6)).
% 8.10/8.09 0 [] is_pname($f70(B_6,A_1))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),B_6)).
% 8.10/8.09 0 [] hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,$f70(B_6,A_1)),A_1))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),B_6)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,$f70(B_6,A_1)),B_6))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),B_6)).
% 8.10/8.09 0 [] is_a($f71(B_6,A_1))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),B_6)).
% 8.10/8.09 0 [] hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,$f71(B_6,A_1)),A_1))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),B_6)).
% 8.10/8.09 0 [] -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,$f71(B_6,A_1)),B_6))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),B_6)).
% 8.10/8.09 0 [] is_pname($f72(F,B_6,A_1))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,image_pname_nat(F,A_1)),B_6)).
% 8.10/8.09 0 [] hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,$f72(F,B_6,A_1)),A_1))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,image_pname_nat(F,A_1)),B_6)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_pname_nat(F,$f72(F,B_6,A_1))),B_6))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,image_pname_nat(F,A_1)),B_6)).
% 8.10/8.09 0 [] is_pname($f73(F,B_6,A_1))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,image_pname_pname(F,A_1)),B_6)).
% 8.10/8.09 0 [] hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,$f73(F,B_6,A_1)),A_1))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,image_pname_pname(F,A_1)),B_6)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_pname_pname(F,$f73(F,B_6,A_1))),B_6))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,image_pname_pname(F,A_1)),B_6)).
% 8.10/8.09 0 [] is_a($f74(F,B_6,A_1))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,image_a_nat(F,A_1)),B_6)).
% 8.10/8.09 0 [] hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,$f74(F,B_6,A_1)),A_1))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,image_a_nat(F,A_1)),B_6)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_a_nat(F,$f74(F,B_6,A_1))),B_6))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,image_a_nat(F,A_1)),B_6)).
% 8.10/8.09 0 [] is_a($f75(F,B_6,A_1))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,image_a_pname(F,A_1)),B_6)).
% 8.10/8.09 0 [] hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,$f75(F,B_6,A_1)),A_1))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,image_a_pname(F,A_1)),B_6)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_a_pname(F,$f75(F,B_6,A_1))),B_6))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,image_a_pname(F,A_1)),B_6)).
% 8.10/8.09 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f76(F,B_6,A_1)),A_1))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,image_nat_pname(F,A_1)),B_6)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_nat_pname(F,$f76(F,B_6,A_1))),B_6))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,image_nat_pname(F,A_1)),B_6)).
% 8.10/8.09 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f77(F,B_6,A_1)),A_1))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,image_nat_a(F,A_1)),B_6)).
% 8.10/8.09 0 [] -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_nat_a(F,$f77(F,B_6,A_1))),B_6))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,image_nat_a(F,A_1)),B_6)).
% 8.10/8.09 0 [] is_pname($f78(F,B_6,A_1))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,image_pname_a(F,A_1)),B_6)).
% 8.10/8.09 0 [] hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,$f78(F,B_6,A_1)),A_1))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,image_pname_a(F,A_1)),B_6)).
% 8.10/8.09 0 [] -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(F,$f78(F,B_6,A_1))),B_6))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,image_pname_a(F,A_1)),B_6)).
% 8.10/8.09 0 [] hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,X_3),X_3)).
% 8.10/8.09 0 [] hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X_3),X_3)).
% 8.10/8.09 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_3),X_3)).
% 8.10/8.09 0 [] hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X_3),X_3)).
% 8.10/8.09 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_10),X_10)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,N_1))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),$f79(N_1))).
% 8.10/8.09 0 [] hBOOL(hAPP_f54304608l_bool(finite_finite_nat,N_1))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f80(N_1,M_2)),N_1)).
% 8.10/8.09 0 [] hBOOL(hAPP_f54304608l_bool(finite_finite_nat,N_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,$f80(N_1,M_2)),M_2)).
% 8.10/8.09 0 [] -hBOOL(wt(C_1))|is_pname($f81(G,C_1))|hBOOL(hAPP_fun_a_bool_bool(p(G),insert_a(mgt(C_1),bot_bot_fun_a_bool))).
% 8.10/8.09 0 [] -hBOOL(wt(C_1))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,$f81(G,C_1)),u))|hBOOL(hAPP_fun_a_bool_bool(p(G),insert_a(mgt(C_1),bot_bot_fun_a_bool))).
% 8.10/8.09 0 [] -hBOOL(wt(C_1))| -hBOOL(hAPP_fun_a_bool_bool(p(G),insert_a(hAPP_pname_a(mgt_call,$f81(G,C_1)),bot_bot_fun_a_bool)))|hBOOL(hAPP_fun_a_bool_bool(p(G),insert_a(mgt(C_1),bot_bot_fun_a_bool))).
% 8.10/8.09 0 [] -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,F),G_1))| -is_pname(X_1)|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,hAPP_pname_bool(F,X_1)),hAPP_pname_bool(G_1,X_1))).
% 8.10/8.09 0 [] hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,F),G_1))|is_pname($f82(F,G_1)).
% 8.10/8.09 0 [] hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,F),G_1))| -hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,hAPP_pname_bool(F,$f82(F,G_1))),hAPP_pname_bool(G_1,$f82(F,G_1)))).
% 8.10/8.09 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,F),G_1))|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,hAPP_nat_bool(F,X_1)),hAPP_nat_bool(G_1,X_1))).
% 8.10/8.09 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,F),G_1))| -hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,hAPP_nat_bool(F,$f83(F,G_1))),hAPP_nat_bool(G_1,$f83(F,G_1)))).
% 8.10/8.09 0 [] -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,F),G_1))| -is_a(X_1)|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,hAPP_a_bool(F,X_1)),hAPP_a_bool(G_1,X_1))).
% 8.10/8.09 0 [] hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,F),G_1))|is_a($f84(F,G_1)).
% 8.10/8.09 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,$f84(F,G_1))),hAPP_a_bool(G_1,$f84(F,G_1)))).
% 8.10/8.09 0 [] -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,F),G_1))|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,hAPP_pname_bool(F,X_3)),hAPP_pname_bool(G_1,X_3))).
% 8.10/8.09 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_3)),hAPP_nat_bool(G_1,X_3))).
% 8.10/8.09 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_3)),hAPP_a_bool(G_1,X_3))).
% 8.10/8.09 0 [] -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,F),G_1))|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,hAPP_pname_bool(F,X_3)),hAPP_pname_bool(G_1,X_3))).
% 8.10/8.09 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_3)),hAPP_nat_bool(G_1,X_3))).
% 8.10/8.09 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_3)),hAPP_a_bool(G_1,X_3))).
% 8.10/8.09 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_3),bot_bot_fun_nat_bool)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_3),bot_bo844097828e_bool)).
% 8.10/8.09 0 [] -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_3),bot_bot_fun_a_bool)).
% 8.10/8.09 0 [] hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,bot_bo1701429464l_bool)).
% 8.10/8.09 0 [] hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,bot_bo1649642514l_bool)).
% 8.10/8.09 0 [] hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,bot_bo1389914601l_bool)).
% 8.10/8.09 0 [] hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,bot_bot_fun_a_bool)).
% 8.10/8.09 0 [] hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,bot_bo844097828e_bool)).
% 8.10/8.09 0 [] hBOOL(hAPP_f54304608l_bool(finite_finite_nat,bot_bot_fun_nat_bool)).
% 8.10/8.09 0 [] hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,bot_bo844097828e_bool),A_1)).
% 8.10/8.09 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,bot_bot_fun_nat_bool),A_1)).
% 8.10/8.09 0 [] hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,bot_bot_fun_a_bool),A_1)).
% 8.10/8.09 0 [] A_1!=bot_bot_fun_nat_bool| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A_3),A_1)).
% 8.10/8.09 0 [] A_1!=bot_bo844097828e_bool| -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_3),A_1)).
% 8.10/8.09 0 [] A_1!=bot_bot_fun_a_bool| -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A_3),A_1)).
% 8.10/8.09 0 [] collect_pname(Pa)!=bot_bo844097828e_bool| -is_pname(X_1)| -hBOOL(hAPP_pname_bool(Pa,X_1)).
% 8.10/8.09 0 [] collect_pname(Pa)=bot_bo844097828e_bool|is_pname($f85(Pa)).
% 8.10/8.09 0 [] collect_pname(Pa)=bot_bo844097828e_bool|hBOOL(hAPP_pname_bool(Pa,$f85(Pa))).
% 8.10/8.09 0 [] collect_fun_nat_bool(Pa)!=bot_bo1701429464l_bool| -hBOOL(hAPP_f54304608l_bool(Pa,X_1)).
% 8.10/8.09 0 [] collect_fun_nat_bool(Pa)=bot_bo1701429464l_bool|hBOOL(hAPP_f54304608l_bool(Pa,$f86(Pa))).
% 8.10/8.09 0 [] collec1974731493e_bool(Pa)!=bot_bo1649642514l_bool| -is_fun_pname_bool(X_1)| -hBOOL(hAPP_f1664156314l_bool(Pa,X_1)).
% 8.10/8.09 0 [] collec1974731493e_bool(Pa)=bot_bo1649642514l_bool|is_fun_pname_bool($f87(Pa)).
% 8.10/8.09 0 [] collec1974731493e_bool(Pa)=bot_bo1649642514l_bool|hBOOL(hAPP_f1664156314l_bool(Pa,$f87(Pa))).
% 8.10/8.09 0 [] collect_fun_a_bool(Pa)!=bot_bo1389914601l_bool| -is_fun_a_bool(X_1)| -hBOOL(hAPP_fun_a_bool_bool(Pa,X_1)).
% 8.10/8.09 0 [] collect_fun_a_bool(Pa)=bot_bo1389914601l_bool|is_fun_a_bool($f88(Pa)).
% 8.10/8.09 0 [] collect_fun_a_bool(Pa)=bot_bo1389914601l_bool|hBOOL(hAPP_fun_a_bool_bool(Pa,$f88(Pa))).
% 8.10/8.09 0 [] collect_a(Pa)!=bot_bot_fun_a_bool| -is_a(X_1)| -hBOOL(hAPP_a_bool(Pa,X_1)).
% 8.10/8.09 0 [] collect_a(Pa)=bot_bot_fun_a_bool|is_a($f89(Pa)).
% 8.10/8.09 0 [] collect_a(Pa)=bot_bot_fun_a_bool|hBOOL(hAPP_a_bool(Pa,$f89(Pa))).
% 8.10/8.09 0 [] collect_nat(Pa)!=bot_bot_fun_nat_bool| -hBOOL(hAPP_nat_bool(Pa,X_1)).
% 8.10/8.09 0 [] collect_nat(Pa)=bot_bot_fun_nat_bool|hBOOL(hAPP_nat_bool(Pa,$f90(Pa))).
% 8.10/8.09 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_1),bot_bot_fun_nat_bool)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C_1),bot_bo844097828e_bool)).
% 8.10/8.09 0 [] -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,C_1),bot_bot_fun_a_bool)).
% 8.10/8.09 0 [] bot_bo844097828e_bool!=collect_pname(Pa)| -is_pname(X_1)| -hBOOL(hAPP_pname_bool(Pa,X_1)).
% 8.10/8.09 0 [] bot_bo844097828e_bool=collect_pname(Pa)|is_pname($f91(Pa)).
% 8.10/8.09 0 [] bot_bo844097828e_bool=collect_pname(Pa)|hBOOL(hAPP_pname_bool(Pa,$f91(Pa))).
% 8.10/8.09 0 [] bot_bo1701429464l_bool!=collect_fun_nat_bool(Pa)| -hBOOL(hAPP_f54304608l_bool(Pa,X_1)).
% 8.10/8.09 0 [] bot_bo1701429464l_bool=collect_fun_nat_bool(Pa)|hBOOL(hAPP_f54304608l_bool(Pa,$f92(Pa))).
% 8.10/8.09 0 [] bot_bo1649642514l_bool!=collec1974731493e_bool(Pa)| -is_fun_pname_bool(X_1)| -hBOOL(hAPP_f1664156314l_bool(Pa,X_1)).
% 8.10/8.09 0 [] bot_bo1649642514l_bool=collec1974731493e_bool(Pa)|is_fun_pname_bool($f93(Pa)).
% 8.10/8.09 0 [] bot_bo1649642514l_bool=collec1974731493e_bool(Pa)|hBOOL(hAPP_f1664156314l_bool(Pa,$f93(Pa))).
% 8.10/8.09 0 [] bot_bo1389914601l_bool!=collect_fun_a_bool(Pa)| -is_fun_a_bool(X_1)| -hBOOL(hAPP_fun_a_bool_bool(Pa,X_1)).
% 8.10/8.09 0 [] bot_bo1389914601l_bool=collect_fun_a_bool(Pa)|is_fun_a_bool($f94(Pa)).
% 8.10/8.09 0 [] bot_bo1389914601l_bool=collect_fun_a_bool(Pa)|hBOOL(hAPP_fun_a_bool_bool(Pa,$f94(Pa))).
% 8.10/8.09 0 [] bot_bot_fun_a_bool!=collect_a(Pa)| -is_a(X_1)| -hBOOL(hAPP_a_bool(Pa,X_1)).
% 8.10/8.09 0 [] bot_bot_fun_a_bool=collect_a(Pa)|is_a($f95(Pa)).
% 8.10/8.09 0 [] bot_bot_fun_a_bool=collect_a(Pa)|hBOOL(hAPP_a_bool(Pa,$f95(Pa))).
% 8.10/8.09 0 [] bot_bot_fun_nat_bool!=collect_nat(Pa)| -hBOOL(hAPP_nat_bool(Pa,X_1)).
% 8.10/8.09 0 [] bot_bot_fun_nat_bool=collect_nat(Pa)|hBOOL(hAPP_nat_bool(Pa,$f96(Pa))).
% 8.10/8.09 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A_1))|A_1!=bot_bot_fun_nat_bool.
% 8.10/8.09 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f97(A_1)),A_1))|A_1=bot_bot_fun_nat_bool.
% 8.10/8.09 0 [] -is_fun_pname_bool(A_1)| -is_pname(X_1)| -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A_1))|A_1!=bot_bo844097828e_bool.
% 8.10/8.09 0 [] -is_fun_pname_bool(A_1)|is_pname($f98(A_1))|A_1=bot_bo844097828e_bool.
% 8.10/8.09 0 [] -is_fun_pname_bool(A_1)|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,$f98(A_1)),A_1))|A_1=bot_bo844097828e_bool.
% 8.10/8.09 0 [] -is_fun_a_bool(A_1)| -is_a(X_1)| -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A_1))|A_1!=bot_bot_fun_a_bool.
% 8.10/8.09 0 [] -is_fun_a_bool(A_1)|is_a($f99(A_1))|A_1=bot_bot_fun_a_bool.
% 8.10/8.09 0 [] -is_fun_a_bool(A_1)|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,$f99(A_1)),A_1))|A_1=bot_bot_fun_a_bool.
% 8.10/8.09 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f100(A_1)),A_1))|A_1=bot_bot_fun_nat_bool.
% 8.10/8.09 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A_1))|A_1!=bot_bot_fun_nat_bool.
% 8.10/8.09 0 [] -is_fun_pname_bool(A_1)|is_pname($f101(A_1))|A_1=bot_bo844097828e_bool.
% 8.10/8.09 0 [] -is_fun_pname_bool(A_1)|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,$f101(A_1)),A_1))|A_1=bot_bo844097828e_bool.
% 8.10/8.09 0 [] -is_fun_pname_bool(A_1)| -is_pname(X_1)| -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A_1))|A_1!=bot_bo844097828e_bool.
% 8.10/8.09 0 [] -is_fun_a_bool(A_1)|is_a($f102(A_1))|A_1=bot_bot_fun_a_bool.
% 8.10/8.09 0 [] -is_fun_a_bool(A_1)|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,$f102(A_1)),A_1))|A_1=bot_bot_fun_a_bool.
% 8.10/8.09 0 [] -is_fun_a_bool(A_1)| -is_a(X_1)| -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),A_1))|A_1!=bot_bot_fun_a_bool.
% 8.10/8.09 0 [] bot_bo844097828e_bool=collect_pname(cOMBK_bool_pname(fFalse)).
% 8.10/8.09 0 [] bot_bo1701429464l_bool=collect_fun_nat_bool(cOMBK_1994329625t_bool(fFalse)).
% 8.10/8.09 0 [] bot_bo1649642514l_bool=collec1974731493e_bool(cOMBK_1857069011e_bool(fFalse)).
% 8.10/8.09 0 [] bot_bo1389914601l_bool=collect_fun_a_bool(cOMBK_324466864a_bool(fFalse)).
% 8.10/8.09 0 [] bot_bot_fun_a_bool=collect_a(cOMBK_bool_a(fFalse)).
% 8.10/8.09 0 [] bot_bot_fun_nat_bool=collect_nat(cOMBK_bool_nat(fFalse)).
% 8.10/8.09 0 [] -hBOOL(hAPP_pname_bool(bot_bo844097828e_bool,X_1))|hBOOL(bot_bot_bool).
% 8.10/8.09 0 [] hBOOL(hAPP_pname_bool(bot_bo844097828e_bool,X_1))| -hBOOL(bot_bot_bool).
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(bot_bot_fun_nat_bool,X_1))|hBOOL(bot_bot_bool).
% 8.10/8.09 0 [] hBOOL(hAPP_nat_bool(bot_bot_fun_nat_bool,X_1))| -hBOOL(bot_bot_bool).
% 8.10/8.09 0 [] -hBOOL(hAPP_a_bool(bot_bot_fun_a_bool,X_1))|hBOOL(bot_bot_bool).
% 8.10/8.09 0 [] hBOOL(hAPP_a_bool(bot_bot_fun_a_bool,X_1))| -hBOOL(bot_bot_bool).
% 8.10/8.09 0 [] -hBOOL(hAPP_pname_bool(bot_bo844097828e_bool,X_3))|hBOOL(bot_bot_bool).
% 8.10/8.09 0 [] hBOOL(hAPP_pname_bool(bot_bo844097828e_bool,X_3))| -hBOOL(bot_bot_bool).
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(bot_bot_fun_nat_bool,X_3))|hBOOL(bot_bot_bool).
% 8.10/8.09 0 [] hBOOL(hAPP_nat_bool(bot_bot_fun_nat_bool,X_3))| -hBOOL(bot_bot_bool).
% 8.10/8.09 0 [] -hBOOL(hAPP_a_bool(bot_bot_fun_a_bool,X_3))|hBOOL(bot_bot_bool).
% 8.10/8.09 0 [] hBOOL(hAPP_a_bool(bot_bot_fun_a_bool,X_3))| -hBOOL(bot_bot_bool).
% 8.10/8.09 0 [] -is_fun_pname_bool(A_3)| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_3),bot_bo844097828e_bool))|A_3=bot_bo844097828e_bool.
% 8.10/8.09 0 [] -hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,A_3),bot_bot_bool))| -hBOOL(A_3)|hBOOL(bot_bot_bool).
% 8.10/8.09 0 [] -hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,A_3),bot_bot_bool))|hBOOL(A_3)| -hBOOL(bot_bot_bool).
% 8.10/8.09 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_3),bot_bot_fun_nat_bool))|A_3=bot_bot_fun_nat_bool.
% 8.10/8.09 0 [] -is_fun_a_bool(A_3)| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_3),bot_bot_fun_a_bool))|A_3=bot_bot_fun_a_bool.
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_9),bot_bot_nat))|A_9=bot_bot_nat.
% 8.10/8.09 0 [] -is_fun_pname_bool(A_3)| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_3),bot_bo844097828e_bool))|A_3=bot_bo844097828e_bool.
% 8.10/8.09 0 [] -is_fun_pname_bool(A_3)|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_3),bot_bo844097828e_bool))|A_3!=bot_bo844097828e_bool.
% 8.10/8.09 0 [] -hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,A_3),bot_bot_bool))| -hBOOL(A_3)|hBOOL(bot_bot_bool).
% 8.10/8.09 0 [] -hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,A_3),bot_bot_bool))|hBOOL(A_3)| -hBOOL(bot_bot_bool).
% 8.10/8.09 0 [] hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,A_3),bot_bot_bool))|hBOOL(A_3)|hBOOL(bot_bot_bool).
% 8.10/8.09 0 [] hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,A_3),bot_bot_bool))| -hBOOL(A_3)| -hBOOL(bot_bot_bool).
% 8.10/8.09 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_3),bot_bot_fun_nat_bool))|A_3=bot_bot_fun_nat_bool.
% 8.10/8.09 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_3),bot_bot_fun_nat_bool))|A_3!=bot_bot_fun_nat_bool.
% 8.10/8.09 0 [] -is_fun_a_bool(A_3)| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_3),bot_bot_fun_a_bool))|A_3=bot_bot_fun_a_bool.
% 8.10/8.09 0 [] -is_fun_a_bool(A_3)|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_3),bot_bot_fun_a_bool))|A_3!=bot_bot_fun_a_bool.
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_3),bot_bot_nat))|A_3=bot_bot_nat.
% 8.10/8.09 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_3),bot_bot_nat))|A_3!=bot_bot_nat.
% 8.10/8.09 0 [] hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,bot_bo844097828e_bool),A_3)).
% 8.10/8.09 0 [] hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,bot_bot_bool),A_3)).
% 8.10/8.09 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,bot_bot_fun_nat_bool),A_3)).
% 8.10/8.09 0 [] hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,bot_bot_fun_a_bool),A_3)).
% 8.10/8.09 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,bot_bot_nat),A_8)).
% 8.10/8.09 0 [] -is_pname(A_3)| -is_pname(B_1)|insert_pname(A_3,bot_bo844097828e_bool)!=insert_pname(B_1,bot_bo844097828e_bool)|A_3=B_1.
% 8.10/8.09 0 [] insert_nat(A_3,bot_bot_fun_nat_bool)!=insert_nat(B_1,bot_bot_fun_nat_bool)|A_3=B_1.
% 8.10/8.09 0 [] -is_a(A_3)| -is_a(B_1)|insert_a(A_3,bot_bot_fun_a_bool)!=insert_a(B_1,bot_bot_fun_a_bool)|A_3=B_1.
% 8.10/8.09 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,B_1),insert_nat(A_3,bot_bot_fun_nat_bool)))|B_1=A_3.
% 8.10/8.09 0 [] -is_pname(B_1)| -is_pname(A_3)| -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,B_1),insert_pname(A_3,bot_bo844097828e_bool)))|B_1=A_3.
% 8.10/8.09 0 [] -is_a(B_1)| -is_a(A_3)| -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,B_1),insert_a(A_3,bot_bot_fun_a_bool)))|B_1=A_3.
% 8.10/8.09 0 [] -is_pname(A_3)| -is_pname(B_1)| -is_pname(C_1)| -is_pname(D)|insert_pname(A_3,insert_pname(B_1,bot_bo844097828e_bool))!=insert_pname(C_1,insert_pname(D,bot_bo844097828e_bool))|A_3=C_1|A_3=D.
% 8.10/8.09 0 [] -is_pname(A_3)| -is_pname(B_1)| -is_pname(C_1)| -is_pname(D)|insert_pname(A_3,insert_pname(B_1,bot_bo844097828e_bool))!=insert_pname(C_1,insert_pname(D,bot_bo844097828e_bool))|A_3=C_1|B_1=C_1.
% 8.10/8.09 0 [] -is_pname(A_3)| -is_pname(B_1)| -is_pname(C_1)| -is_pname(D)|insert_pname(A_3,insert_pname(B_1,bot_bo844097828e_bool))!=insert_pname(C_1,insert_pname(D,bot_bo844097828e_bool))|B_1=D|A_3=D.
% 8.10/8.09 0 [] -is_pname(A_3)| -is_pname(B_1)| -is_pname(C_1)| -is_pname(D)|insert_pname(A_3,insert_pname(B_1,bot_bo844097828e_bool))!=insert_pname(C_1,insert_pname(D,bot_bo844097828e_bool))|B_1=D|B_1=C_1.
% 8.10/8.09 0 [] -is_pname(A_3)| -is_pname(B_1)| -is_pname(C_1)| -is_pname(D)|insert_pname(A_3,insert_pname(B_1,bot_bo844097828e_bool))=insert_pname(C_1,insert_pname(D,bot_bo844097828e_bool))|A_3!=C_1|B_1!=D.
% 8.10/8.09 0 [] -is_pname(A_3)| -is_pname(B_1)| -is_pname(C_1)| -is_pname(D)|insert_pname(A_3,insert_pname(B_1,bot_bo844097828e_bool))=insert_pname(C_1,insert_pname(D,bot_bo844097828e_bool))|A_3!=D|B_1!=C_1.
% 8.10/8.09 0 [] insert_nat(A_3,insert_nat(B_1,bot_bot_fun_nat_bool))!=insert_nat(C_1,insert_nat(D,bot_bot_fun_nat_bool))|A_3=C_1|A_3=D.
% 8.10/8.09 0 [] insert_nat(A_3,insert_nat(B_1,bot_bot_fun_nat_bool))!=insert_nat(C_1,insert_nat(D,bot_bot_fun_nat_bool))|A_3=C_1|B_1=C_1.
% 8.10/8.09 0 [] insert_nat(A_3,insert_nat(B_1,bot_bot_fun_nat_bool))!=insert_nat(C_1,insert_nat(D,bot_bot_fun_nat_bool))|B_1=D|A_3=D.
% 8.10/8.09 0 [] insert_nat(A_3,insert_nat(B_1,bot_bot_fun_nat_bool))!=insert_nat(C_1,insert_nat(D,bot_bot_fun_nat_bool))|B_1=D|B_1=C_1.
% 8.10/8.09 0 [] insert_nat(A_3,insert_nat(B_1,bot_bot_fun_nat_bool))=insert_nat(C_1,insert_nat(D,bot_bot_fun_nat_bool))|A_3!=C_1|B_1!=D.
% 8.10/8.09 0 [] insert_nat(A_3,insert_nat(B_1,bot_bot_fun_nat_bool))=insert_nat(C_1,insert_nat(D,bot_bot_fun_nat_bool))|A_3!=D|B_1!=C_1.
% 8.10/8.09 0 [] -is_a(A_3)| -is_a(B_1)| -is_a(C_1)| -is_a(D)|insert_a(A_3,insert_a(B_1,bot_bot_fun_a_bool))!=insert_a(C_1,insert_a(D,bot_bot_fun_a_bool))|A_3=C_1|A_3=D.
% 8.10/8.09 0 [] -is_a(A_3)| -is_a(B_1)| -is_a(C_1)| -is_a(D)|insert_a(A_3,insert_a(B_1,bot_bot_fun_a_bool))!=insert_a(C_1,insert_a(D,bot_bot_fun_a_bool))|A_3=C_1|B_1=C_1.
% 8.10/8.09 0 [] -is_a(A_3)| -is_a(B_1)| -is_a(C_1)| -is_a(D)|insert_a(A_3,insert_a(B_1,bot_bot_fun_a_bool))!=insert_a(C_1,insert_a(D,bot_bot_fun_a_bool))|B_1=D|A_3=D.
% 8.10/8.09 0 [] -is_a(A_3)| -is_a(B_1)| -is_a(C_1)| -is_a(D)|insert_a(A_3,insert_a(B_1,bot_bot_fun_a_bool))!=insert_a(C_1,insert_a(D,bot_bot_fun_a_bool))|B_1=D|B_1=C_1.
% 8.10/8.09 0 [] -is_a(A_3)| -is_a(B_1)| -is_a(C_1)| -is_a(D)|insert_a(A_3,insert_a(B_1,bot_bot_fun_a_bool))=insert_a(C_1,insert_a(D,bot_bot_fun_a_bool))|A_3!=C_1|B_1!=D.
% 8.10/8.09 0 [] -is_a(A_3)| -is_a(B_1)| -is_a(C_1)| -is_a(D)|insert_a(A_3,insert_a(B_1,bot_bot_fun_a_bool))=insert_a(C_1,insert_a(D,bot_bot_fun_a_bool))|A_3!=D|B_1!=C_1.
% 8.10/8.09 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,B_1),insert_nat(A_3,bot_bot_fun_nat_bool)))|B_1=A_3.
% 8.10/8.09 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,B_1),insert_nat(A_3,bot_bot_fun_nat_bool)))|B_1!=A_3.
% 8.10/8.09 0 [] -is_pname(B_1)| -is_pname(A_3)| -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,B_1),insert_pname(A_3,bot_bo844097828e_bool)))|B_1=A_3.
% 8.10/8.09 0 [] -is_pname(B_1)| -is_pname(A_3)|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,B_1),insert_pname(A_3,bot_bo844097828e_bool)))|B_1!=A_3.
% 8.10/8.09 0 [] -is_a(B_1)| -is_a(A_3)| -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,B_1),insert_a(A_3,bot_bot_fun_a_bool)))|B_1=A_3.
% 8.10/8.09 0 [] -is_a(B_1)| -is_a(A_3)|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,B_1),insert_a(A_3,bot_bot_fun_a_bool)))|B_1!=A_3.
% 8.10/8.09 0 [] insert_pname(A_3,A_1)!=bot_bo844097828e_bool.
% 8.10/8.09 0 [] insert_nat(A_3,A_1)!=bot_bot_fun_nat_bool.
% 8.10/8.09 0 [] insert_a(A_3,A_1)!=bot_bot_fun_a_bool.
% 8.10/8.09 0 [] bot_bo844097828e_bool!=insert_pname(A_3,A_1).
% 8.10/8.09 0 [] bot_bot_fun_nat_bool!=insert_nat(A_3,A_1).
% 8.10/8.09 0 [] bot_bot_fun_a_bool!=insert_a(A_3,A_1).
% 8.10/8.09 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_1),bot_bot_fun_nat_bool))|A_1=bot_bot_fun_nat_bool.
% 8.10/8.09 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_1),bot_bot_fun_nat_bool))|A_1!=bot_bot_fun_nat_bool.
% 8.10/8.09 0 [] -is_fun_pname_bool(A_1)| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),bot_bo844097828e_bool))|A_1=bot_bo844097828e_bool.
% 8.10/8.09 0 [] -is_fun_pname_bool(A_1)|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),bot_bo844097828e_bool))|A_1!=bot_bo844097828e_bool.
% 8.10/8.09 0 [] -is_fun_a_bool(A_1)| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),bot_bot_fun_a_bool))|A_1=bot_bot_fun_a_bool.
% 8.10/8.09 0 [] -is_fun_a_bool(A_1)|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),bot_bot_fun_a_bool))|A_1!=bot_bot_fun_a_bool.
% 8.10/8.09 0 [] -is_fun_pname_bool(A_1)|image_pname_a(F,A_1)!=bot_bot_fun_a_bool|A_1=bot_bo844097828e_bool.
% 8.10/8.09 0 [] -is_fun_pname_bool(A_1)|image_pname_a(F,A_1)=bot_bot_fun_a_bool|A_1!=bot_bo844097828e_bool.
% 8.10/8.09 0 [] image_pname_a(F,bot_bo844097828e_bool)=bot_bot_fun_a_bool.
% 8.10/8.09 0 [] -is_fun_pname_bool(A_1)|bot_bot_fun_a_bool!=image_pname_a(F,A_1)|A_1=bot_bo844097828e_bool.
% 8.10/8.09 0 [] -is_fun_pname_bool(A_1)|bot_bot_fun_a_bool=image_pname_a(F,A_1)|A_1!=bot_bo844097828e_bool.
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(Pa,A_3))|collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fe_qual_nat),A_3)),Pa))=insert_nat(A_3,bot_bot_fun_nat_bool).
% 8.10/8.09 0 [] hBOOL(hAPP_nat_bool(Pa,A_3))|collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fe_qual_nat),A_3)),Pa))=bot_bot_fun_nat_bool.
% 8.10/8.09 0 [] -hBOOL(hAPP_pname_bool(Pa,A_3))|collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fe_qual_pname),A_3)),Pa))=insert_pname(A_3,bot_bo844097828e_bool).
% 8.10/8.09 0 [] hBOOL(hAPP_pname_bool(Pa,A_3))|collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fe_qual_pname),A_3)),Pa))=bot_bo844097828e_bool.
% 8.10/8.09 0 [] -hBOOL(hAPP_a_bool(Pa,A_3))|collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fe_qual_a),A_3)),Pa))=insert_a(A_3,bot_bot_fun_a_bool).
% 8.10/8.09 0 [] hBOOL(hAPP_a_bool(Pa,A_3))|collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fe_qual_a),A_3)),Pa))=bot_bot_fun_a_bool.
% 8.10/8.09 0 [] -hBOOL(hAPP_f54304608l_bool(Pa,A_3))|collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fconj,hAPP_f103356543l_bool(cOMBC_1693257480l_bool(fe_qual_fun_nat_bool),A_3)),Pa))=insert_fun_nat_bool(A_3,bot_bo1701429464l_bool).
% 8.10/8.09 0 [] hBOOL(hAPP_f54304608l_bool(Pa,A_3))|collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fconj,hAPP_f103356543l_bool(cOMBC_1693257480l_bool(fe_qual_fun_nat_bool),A_3)),Pa))=bot_bo1701429464l_bool.
% 8.10/8.09 0 [] -hBOOL(hAPP_f1664156314l_bool(Pa,A_3))|collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fe_qual533582459e_bool),A_3)),Pa))=insert1325755072e_bool(A_3,bot_bo1649642514l_bool).
% 8.10/8.09 0 [] hBOOL(hAPP_f1664156314l_bool(Pa,A_3))|collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fe_qual533582459e_bool),A_3)),Pa))=bot_bo1649642514l_bool.
% 8.10/8.09 0 [] -hBOOL(hAPP_fun_a_bool_bool(Pa,A_3))|collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fconj,hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fe_qual_fun_a_bool),A_3)),Pa))=insert_fun_a_bool(A_3,bot_bo1389914601l_bool).
% 8.10/8.09 0 [] hBOOL(hAPP_fun_a_bool_bool(Pa,A_3))|collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fconj,hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fe_qual_fun_a_bool),A_3)),Pa))=bot_bo1389914601l_bool.
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(Pa,A_3))|collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_n1699378549t_bool(fe_qual_nat,A_3)),Pa))=insert_nat(A_3,bot_bot_fun_nat_bool).
% 8.10/8.09 0 [] hBOOL(hAPP_nat_bool(Pa,A_3))|collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_n1699378549t_bool(fe_qual_nat,A_3)),Pa))=bot_bot_fun_nat_bool.
% 8.10/8.09 0 [] -hBOOL(hAPP_pname_bool(Pa,A_3))|collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(fe_qual_pname,A_3)),Pa))=insert_pname(A_3,bot_bo844097828e_bool).
% 8.10/8.09 0 [] hBOOL(hAPP_pname_bool(Pa,A_3))|collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(fe_qual_pname,A_3)),Pa))=bot_bo844097828e_bool.
% 8.10/8.09 0 [] -hBOOL(hAPP_a_bool(Pa,A_3))|collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_a_fun_a_bool(fe_qual_a,A_3)),Pa))=insert_a(A_3,bot_bot_fun_a_bool).
% 8.10/8.09 0 [] hBOOL(hAPP_a_bool(Pa,A_3))|collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_a_fun_a_bool(fe_qual_a,A_3)),Pa))=bot_bot_fun_a_bool.
% 8.10/8.09 0 [] -hBOOL(hAPP_f54304608l_bool(Pa,A_3))|collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fconj,hAPP_f103356543l_bool(fe_qual_fun_nat_bool,A_3)),Pa))=insert_fun_nat_bool(A_3,bot_bo1701429464l_bool).
% 8.10/8.09 0 [] hBOOL(hAPP_f54304608l_bool(Pa,A_3))|collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fconj,hAPP_f103356543l_bool(fe_qual_fun_nat_bool,A_3)),Pa))=bot_bo1701429464l_bool.
% 8.10/8.09 0 [] -hBOOL(hAPP_f1664156314l_bool(Pa,A_3))|collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(fe_qual533582459e_bool,A_3)),Pa))=insert1325755072e_bool(A_3,bot_bo1649642514l_bool).
% 8.10/8.09 0 [] hBOOL(hAPP_f1664156314l_bool(Pa,A_3))|collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(fe_qual533582459e_bool,A_3)),Pa))=bot_bo1649642514l_bool.
% 8.10/8.09 0 [] -hBOOL(hAPP_fun_a_bool_bool(Pa,A_3))|collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fconj,hAPP_f1631501043l_bool(fe_qual_fun_a_bool,A_3)),Pa))=insert_fun_a_bool(A_3,bot_bo1389914601l_bool).
% 8.10/8.09 0 [] hBOOL(hAPP_fun_a_bool_bool(Pa,A_3))|collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fconj,hAPP_f1631501043l_bool(fe_qual_fun_a_bool,A_3)),Pa))=bot_bo1389914601l_bool.
% 8.10/8.09 0 [] collect_nat(hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fe_qual_nat),A_3))=insert_nat(A_3,bot_bot_fun_nat_bool).
% 8.10/8.09 0 [] collect_pname(hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fe_qual_pname),A_3))=insert_pname(A_3,bot_bo844097828e_bool).
% 8.10/8.09 0 [] collect_a(hAPP_a_fun_a_bool(cOMBC_a_a_bool(fe_qual_a),A_3))=insert_a(A_3,bot_bot_fun_a_bool).
% 8.10/8.09 0 [] collect_fun_nat_bool(hAPP_f103356543l_bool(cOMBC_1693257480l_bool(fe_qual_fun_nat_bool),A_3))=insert_fun_nat_bool(A_3,bot_bo1701429464l_bool).
% 8.10/8.09 0 [] collec1974731493e_bool(hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fe_qual533582459e_bool),A_3))=insert1325755072e_bool(A_3,bot_bo1649642514l_bool).
% 8.10/8.09 0 [] collect_fun_a_bool(hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fe_qual_fun_a_bool),A_3))=insert_fun_a_bool(A_3,bot_bo1389914601l_bool).
% 8.10/8.09 0 [] collect_nat(hAPP_n1699378549t_bool(fe_qual_nat,A_3))=insert_nat(A_3,bot_bot_fun_nat_bool).
% 8.10/8.09 0 [] collect_pname(hAPP_p61793385e_bool(fe_qual_pname,A_3))=insert_pname(A_3,bot_bo844097828e_bool).
% 8.10/8.09 0 [] collect_a(hAPP_a_fun_a_bool(fe_qual_a,A_3))=insert_a(A_3,bot_bot_fun_a_bool).
% 8.10/8.09 0 [] collect_fun_nat_bool(hAPP_f103356543l_bool(fe_qual_fun_nat_bool,A_3))=insert_fun_nat_bool(A_3,bot_bo1701429464l_bool).
% 8.10/8.09 0 [] collec1974731493e_bool(hAPP_f434788991l_bool(fe_qual533582459e_bool,A_3))=insert1325755072e_bool(A_3,bot_bo1649642514l_bool).
% 8.10/8.09 0 [] collect_fun_a_bool(hAPP_f1631501043l_bool(fe_qual_fun_a_bool,A_3))=insert_fun_a_bool(A_3,bot_bo1389914601l_bool).
% 8.10/8.09 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_1),insert_nat(X_3,bot_bot_fun_nat_bool)))|A_1=bot_bot_fun_nat_bool|A_1=insert_nat(X_3,bot_bot_fun_nat_bool).
% 8.10/8.09 0 [] -is_fun_pname_bool(A_1)| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_1),insert_pname(X_3,bot_bo844097828e_bool)))|A_1=bot_bo844097828e_bool|A_1=insert_pname(X_3,bot_bo844097828e_bool).
% 8.10/8.09 0 [] -is_fun_a_bool(A_1)| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),insert_a(X_3,bot_bot_fun_a_bool)))|A_1=bot_bot_fun_a_bool|A_1=insert_a(X_3,bot_bot_fun_a_bool).
% 8.10/8.09 0 [] -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_3),A_1))|image_pname_a(cOMBK_a_pname(C_1),A_1)=insert_a(C_1,bot_bot_fun_a_bool).
% 8.10/8.09 0 [] -is_fun_pname_bool(A_1)|A_1!=bot_bo844097828e_bool|image_pname_a(cOMBK_a_pname(C_1),A_1)=bot_bot_fun_a_bool.
% 8.10/8.09 0 [] -is_fun_pname_bool(A_1)|A_1=bot_bo844097828e_bool|image_pname_a(cOMBK_a_pname(C_1),A_1)=insert_a(C_1,bot_bot_fun_a_bool).
% 8.10/8.09 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_9),Y_8))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_8),X_9)).
% 8.10/8.09 0 [] -hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,Y_2),X_3))| -hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,Z_1),Y_2))|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,Z_1),X_3)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Y_2),X_3))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Z_1),Y_2))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Z_1),X_3)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,Y_2),X_3))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,Z_1),Y_2))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,Z_1),X_3)).
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_7),X_8))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Z_3),Y_7))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Z_3),X_8)).
% 8.10/8.09 0 [] -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,Y_2),X_3))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,Z_1),Y_2))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,Z_1),X_3)).
% 8.10/8.09 0 [] -hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,Y_2),X_3))| -hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,X_3),Y_2))| -hBOOL(X_3)|hBOOL(Y_2).
% 8.10/8.09 0 [] -hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,Y_2),X_3))| -hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,X_3),Y_2))|hBOOL(X_3)| -hBOOL(Y_2).
% 8.10/8.09 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Y_2),X_3))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_3),Y_2))|X_3=Y_2.
% 8.10/8.09 0 [] -is_fun_pname_bool(Y_2)| -is_fun_pname_bool(X_3)| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,Y_2),X_3))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X_3),Y_2))|X_3=Y_2.
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_6),X_7))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_7),Y_6))|X_7=Y_6.
% 8.10/8.09 0 [] -is_fun_a_bool(Y_2)| -is_fun_a_bool(X_3)| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,Y_2),X_3))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X_3),Y_2))|X_3=Y_2.
% 8.10/8.09 0 [] -hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,X_3),Y_2))| -hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,Y_2),Z_1))|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,X_3),Z_1)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_3),Y_2))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Y_2),Z_1))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_3),Z_1)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X_3),Y_2))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,Y_2),Z_1))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X_3),Z_1)).
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_6),Y_5))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_5),Z_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_6),Z_2)).
% 8.10/8.09 0 [] -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X_3),Y_2))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,Y_2),Z_1))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X_3),Z_1)).
% 8.10/8.09 0 [] -hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,X_3),Y_2))| -hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,Y_2),X_3))| -hBOOL(X_3)|hBOOL(Y_2).
% 8.10/8.09 0 [] -hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,X_3),Y_2))| -hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,Y_2),X_3))|hBOOL(X_3)| -hBOOL(Y_2).
% 8.10/8.09 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_3),Y_2))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Y_2),X_3))|X_3=Y_2.
% 8.10/8.09 0 [] -is_fun_pname_bool(X_3)| -is_fun_pname_bool(Y_2)| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X_3),Y_2))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,Y_2),X_3))|X_3=Y_2.
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_5),Y_4))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_4),X_5))|X_5=Y_4.
% 8.10/8.09 0 [] -is_fun_a_bool(X_3)| -is_fun_a_bool(Y_2)| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X_3),Y_2))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,Y_2),X_3))|X_3=Y_2.
% 8.10/8.09 0 [] -hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,B_1),A_3))|hBOOL(B_1)|hBOOL(C_1)|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,C_1),A_3)).
% 8.10/8.09 0 [] -hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,B_1),A_3))| -hBOOL(B_1)| -hBOOL(C_1)|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,C_1),A_3)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_1),A_3))|B_1!=C_1|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,C_1),A_3)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_1),A_3))|B_1!=C_1|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,C_1),A_3)).
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_5),A_7))|B_5!=C_5|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_5),A_7)).
% 8.10/8.09 0 [] -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_1),A_3))|B_1!=C_1|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,C_1),A_3)).
% 8.10/8.09 0 [] -hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,A_3),B_1))|hBOOL(B_1)|hBOOL(C_1)|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,A_3),C_1)).
% 8.10/8.09 0 [] -hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,A_3),B_1))| -hBOOL(B_1)| -hBOOL(C_1)|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,A_3),C_1)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_3),B_1))|B_1!=C_1|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_3),C_1)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_3),B_1))|B_1!=C_1|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_3),C_1)).
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_6),B_4))|B_4!=C_4|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_6),C_4)).
% 8.10/8.09 0 [] -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_3),B_1))|B_1!=C_1|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_3),C_1)).
% 8.10/8.09 0 [] hBOOL(A_3)|hBOOL(B_1)| -hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,C_1),B_1))|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,C_1),A_3)).
% 8.10/8.09 0 [] -hBOOL(A_3)| -hBOOL(B_1)| -hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,C_1),B_1))|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,C_1),A_3)).
% 8.10/8.09 0 [] A_3!=B_1| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,C_1),B_1))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,C_1),A_3)).
% 8.10/8.09 0 [] A_3!=B_1| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,C_1),B_1))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,C_1),A_3)).
% 8.10/8.09 0 [] A_5!=B_3| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_3),B_3))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_3),A_5)).
% 8.10/8.09 0 [] A_3!=B_1| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,C_1),B_1))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,C_1),A_3)).
% 8.10/8.09 0 [] hBOOL(A_3)|hBOOL(B_1)| -hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,B_1),C_1))|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,A_3),C_1)).
% 8.10/8.09 0 [] -hBOOL(A_3)| -hBOOL(B_1)| -hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,B_1),C_1))|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,A_3),C_1)).
% 8.10/8.09 0 [] A_3!=B_1| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_1),C_1))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_3),C_1)).
% 8.10/8.09 0 [] A_3!=B_1| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B_1),C_1))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A_3),C_1)).
% 8.10/8.09 0 [] A_4!=B_2| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_2),C_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_4),C_2)).
% 8.10/8.09 0 [] A_3!=B_1| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B_1),C_1))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_3),C_1)).
% 8.10/8.09 0 [] -hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,Y_2),X_3))| -hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,X_3),Y_2))| -hBOOL(X_3)|hBOOL(Y_2).
% 8.10/8.09 0 [] -hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,Y_2),X_3))| -hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,X_3),Y_2))|hBOOL(X_3)| -hBOOL(Y_2).
% 8.10/8.09 0 [] -hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,Y_2),X_3))|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,X_3),Y_2))|hBOOL(X_3)|hBOOL(Y_2).
% 8.10/8.09 0 [] -hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,Y_2),X_3))|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,X_3),Y_2))| -hBOOL(X_3)| -hBOOL(Y_2).
% 8.10/8.09 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Y_2),X_3))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_3),Y_2))|X_3=Y_2.
% 8.10/8.09 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Y_2),X_3))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_3),Y_2))|X_3!=Y_2.
% 8.10/8.09 0 [] -is_fun_pname_bool(Y_2)| -is_fun_pname_bool(X_3)| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,Y_2),X_3))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X_3),Y_2))|X_3=Y_2.
% 8.10/8.09 0 [] -is_fun_pname_bool(Y_2)| -is_fun_pname_bool(X_3)| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,Y_2),X_3))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X_3),Y_2))|X_3!=Y_2.
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_2),X_3))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_3),Y_2))|X_3=Y_2.
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_2),X_3))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_3),Y_2))|X_3!=Y_2.
% 8.10/8.09 0 [] -is_fun_a_bool(Y_2)| -is_fun_a_bool(X_3)| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,Y_2),X_3))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X_3),Y_2))|X_3=Y_2.
% 8.10/8.09 0 [] -is_fun_a_bool(Y_2)| -is_fun_a_bool(X_3)| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,Y_2),X_3))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X_3),Y_2))|X_3!=Y_2.
% 8.10/8.09 0 [] hBOOL(X_3)|hBOOL(Y_2)|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,X_3),Y_2)).
% 8.10/8.09 0 [] -hBOOL(X_3)| -hBOOL(Y_2)|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,X_3),Y_2)).
% 8.10/8.09 0 [] X_3!=Y_2|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_3),Y_2)).
% 8.10/8.09 0 [] X_3!=Y_2|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X_3),Y_2)).
% 8.10/8.09 0 [] X_4!=Y_3|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_4),Y_3)).
% 8.10/8.09 0 [] X_3!=Y_2|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X_3),Y_2)).
% 8.10/8.09 0 [] hBOOL(X_3)|hBOOL(Y_2)|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,X_3),Y_2)).
% 8.10/8.09 0 [] hBOOL(X_3)|hBOOL(Y_2)|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,Y_2),X_3)).
% 8.10/8.09 0 [] -hBOOL(X_3)| -hBOOL(Y_2)|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,X_3),Y_2)).
% 8.10/8.09 0 [] -hBOOL(X_3)| -hBOOL(Y_2)|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,Y_2),X_3)).
% 8.10/8.09 0 [] -hBOOL(X_3)|hBOOL(Y_2)| -hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,X_3),Y_2))| -hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,Y_2),X_3)).
% 8.10/8.09 0 [] hBOOL(X_3)| -hBOOL(Y_2)| -hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,X_3),Y_2))| -hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,Y_2),X_3)).
% 8.10/8.09 0 [] X_3!=Y_2|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_3),Y_2)).
% 8.10/8.09 0 [] X_3!=Y_2|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Y_2),X_3)).
% 8.10/8.09 0 [] X_3=Y_2| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_3),Y_2))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Y_2),X_3)).
% 8.10/8.09 0 [] -is_fun_pname_bool(X_3)| -is_fun_pname_bool(Y_2)|X_3!=Y_2|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X_3),Y_2)).
% 8.10/8.09 0 [] -is_fun_pname_bool(X_3)| -is_fun_pname_bool(Y_2)|X_3!=Y_2|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,Y_2),X_3)).
% 8.10/8.09 0 [] -is_fun_pname_bool(X_3)| -is_fun_pname_bool(Y_2)|X_3=Y_2| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X_3),Y_2))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,Y_2),X_3)).
% 8.10/8.09 0 [] X_3!=Y_2|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_3),Y_2)).
% 8.10/8.09 0 [] X_3!=Y_2|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_2),X_3)).
% 8.10/8.09 0 [] X_3=Y_2| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_3),Y_2))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_2),X_3)).
% 8.10/8.09 0 [] -is_fun_a_bool(X_3)| -is_fun_a_bool(Y_2)|X_3!=Y_2|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X_3),Y_2)).
% 8.10/8.09 0 [] -is_fun_a_bool(X_3)| -is_fun_a_bool(Y_2)|X_3!=Y_2|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,Y_2),X_3)).
% 8.10/8.09 0 [] -is_fun_a_bool(X_3)| -is_fun_a_bool(Y_2)|X_3=Y_2| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X_3),Y_2))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,Y_2),X_3)).
% 8.10/8.09 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_2),Y_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_1),X_2)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,F_1))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,F_1),A_1))| -hBOOL(hAPP_f54304608l_bool(Pa,bot_bot_fun_nat_bool))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,$f103(Pa,A_1,F_1)))|hBOOL(hAPP_f54304608l_bool(Pa,F_1)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,F_1))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,F_1),A_1))| -hBOOL(hAPP_f54304608l_bool(Pa,bot_bot_fun_nat_bool))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f104(Pa,A_1,F_1)),A_1))|hBOOL(hAPP_f54304608l_bool(Pa,F_1)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,F_1))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,F_1),A_1))| -hBOOL(hAPP_f54304608l_bool(Pa,bot_bot_fun_nat_bool))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f104(Pa,A_1,F_1)),$f103(Pa,A_1,F_1)))|hBOOL(hAPP_f54304608l_bool(Pa,F_1)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,F_1))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,F_1),A_1))| -hBOOL(hAPP_f54304608l_bool(Pa,bot_bot_fun_nat_bool))|hBOOL(hAPP_f54304608l_bool(Pa,$f103(Pa,A_1,F_1)))|hBOOL(hAPP_f54304608l_bool(Pa,F_1)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,F_1))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,F_1),A_1))| -hBOOL(hAPP_f54304608l_bool(Pa,bot_bot_fun_nat_bool))| -hBOOL(hAPP_f54304608l_bool(Pa,insert_nat($f104(Pa,A_1,F_1),$f103(Pa,A_1,F_1))))|hBOOL(hAPP_f54304608l_bool(Pa,F_1)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,F_1),A_1))| -hBOOL(hAPP_f1664156314l_bool(Pa,bot_bo844097828e_bool))|is_pname($f106(Pa,A_1,F_1))|hBOOL(hAPP_f1664156314l_bool(Pa,F_1)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,F_1),A_1))| -hBOOL(hAPP_f1664156314l_bool(Pa,bot_bo844097828e_bool))|is_fun_pname_bool($f105(Pa,A_1,F_1))|hBOOL(hAPP_f1664156314l_bool(Pa,F_1)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,F_1),A_1))| -hBOOL(hAPP_f1664156314l_bool(Pa,bot_bo844097828e_bool))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,$f105(Pa,A_1,F_1)))|hBOOL(hAPP_f1664156314l_bool(Pa,F_1)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,F_1),A_1))| -hBOOL(hAPP_f1664156314l_bool(Pa,bot_bo844097828e_bool))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,$f106(Pa,A_1,F_1)),A_1))|hBOOL(hAPP_f1664156314l_bool(Pa,F_1)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,F_1),A_1))| -hBOOL(hAPP_f1664156314l_bool(Pa,bot_bo844097828e_bool))| -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,$f106(Pa,A_1,F_1)),$f105(Pa,A_1,F_1)))|hBOOL(hAPP_f1664156314l_bool(Pa,F_1)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,F_1),A_1))| -hBOOL(hAPP_f1664156314l_bool(Pa,bot_bo844097828e_bool))|hBOOL(hAPP_f1664156314l_bool(Pa,$f105(Pa,A_1,F_1)))|hBOOL(hAPP_f1664156314l_bool(Pa,F_1)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,F_1),A_1))| -hBOOL(hAPP_f1664156314l_bool(Pa,bot_bo844097828e_bool))| -hBOOL(hAPP_f1664156314l_bool(Pa,insert_pname($f106(Pa,A_1,F_1),$f105(Pa,A_1,F_1))))|hBOOL(hAPP_f1664156314l_bool(Pa,F_1)).
% 8.10/8.09 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_1))| -hBOOL(hAPP_fun_a_bool_bool(Pa,bot_bot_fun_a_bool))|is_a($f108(Pa,A_1,F_1))|hBOOL(hAPP_fun_a_bool_bool(Pa,F_1)).
% 8.10/8.09 0 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,F_1))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,F_1),A_1))| -hBOOL(hAPP_fun_a_bool_bool(Pa,bot_bot_fun_a_bool))|is_fun_a_bool($f107(Pa,A_1,F_1))|hBOOL(hAPP_fun_a_bool_bool(Pa,F_1)).
% 8.10/8.09 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_1))| -hBOOL(hAPP_fun_a_bool_bool(Pa,bot_bot_fun_a_bool))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,$f107(Pa,A_1,F_1)))|hBOOL(hAPP_fun_a_bool_bool(Pa,F_1)).
% 8.10/8.09 0 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,F_1))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,F_1),A_1))| -hBOOL(hAPP_fun_a_bool_bool(Pa,bot_bot_fun_a_bool))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,$f108(Pa,A_1,F_1)),A_1))|hBOOL(hAPP_fun_a_bool_bool(Pa,F_1)).
% 8.10/8.09 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_1))| -hBOOL(hAPP_fun_a_bool_bool(Pa,bot_bot_fun_a_bool))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,$f108(Pa,A_1,F_1)),$f107(Pa,A_1,F_1)))|hBOOL(hAPP_fun_a_bool_bool(Pa,F_1)).
% 8.10/8.09 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_1))| -hBOOL(hAPP_fun_a_bool_bool(Pa,bot_bot_fun_a_bool))|hBOOL(hAPP_fun_a_bool_bool(Pa,$f107(Pa,A_1,F_1)))|hBOOL(hAPP_fun_a_bool_bool(Pa,F_1)).
% 8.10/8.09 0 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,F_1))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,F_1),A_1))| -hBOOL(hAPP_fun_a_bool_bool(Pa,bot_bot_fun_a_bool))| -hBOOL(hAPP_fun_a_bool_bool(Pa,insert_a($f108(Pa,A_1,F_1),$f107(Pa,A_1,F_1))))|hBOOL(hAPP_fun_a_bool_bool(Pa,F_1)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,F_1))| -hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,F_1),A_1))| -hBOOL(hAPP_f1637334154l_bool(Pa,bot_bo1701429464l_bool))|hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,$f109(Pa,A_1,F_1)))|hBOOL(hAPP_f1637334154l_bool(Pa,F_1)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,F_1))| -hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,F_1),A_1))| -hBOOL(hAPP_f1637334154l_bool(Pa,bot_bo1701429464l_bool))|hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,$f110(Pa,A_1,F_1)),A_1))|hBOOL(hAPP_f1637334154l_bool(Pa,F_1)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,F_1))| -hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,F_1),A_1))| -hBOOL(hAPP_f1637334154l_bool(Pa,bot_bo1701429464l_bool))| -hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,$f110(Pa,A_1,F_1)),$f109(Pa,A_1,F_1)))|hBOOL(hAPP_f1637334154l_bool(Pa,F_1)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,F_1))| -hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,F_1),A_1))| -hBOOL(hAPP_f1637334154l_bool(Pa,bot_bo1701429464l_bool))|hBOOL(hAPP_f1637334154l_bool(Pa,$f109(Pa,A_1,F_1)))|hBOOL(hAPP_f1637334154l_bool(Pa,F_1)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,F_1))| -hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,F_1),A_1))| -hBOOL(hAPP_f1637334154l_bool(Pa,bot_bo1701429464l_bool))| -hBOOL(hAPP_f1637334154l_bool(Pa,insert_fun_nat_bool($f110(Pa,A_1,F_1),$f109(Pa,A_1,F_1))))|hBOOL(hAPP_f1637334154l_bool(Pa,F_1)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,F_1))| -hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,F_1),A_1))| -hBOOL(hAPP_f1935102916l_bool(Pa,bot_bo1649642514l_bool))|is_fun_pname_bool($f112(Pa,A_1,F_1))|hBOOL(hAPP_f1935102916l_bool(Pa,F_1)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,F_1))| -hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,F_1),A_1))| -hBOOL(hAPP_f1935102916l_bool(Pa,bot_bo1649642514l_bool))|is_fun1661590463l_bool($f111(Pa,A_1,F_1))|hBOOL(hAPP_f1935102916l_bool(Pa,F_1)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,F_1))| -hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,F_1),A_1))| -hBOOL(hAPP_f1935102916l_bool(Pa,bot_bo1649642514l_bool))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,$f111(Pa,A_1,F_1)))|hBOOL(hAPP_f1935102916l_bool(Pa,F_1)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,F_1))| -hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,F_1),A_1))| -hBOOL(hAPP_f1935102916l_bool(Pa,bot_bo1649642514l_bool))|hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,$f112(Pa,A_1,F_1)),A_1))|hBOOL(hAPP_f1935102916l_bool(Pa,F_1)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,F_1))| -hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,F_1),A_1))| -hBOOL(hAPP_f1935102916l_bool(Pa,bot_bo1649642514l_bool))| -hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,$f112(Pa,A_1,F_1)),$f111(Pa,A_1,F_1)))|hBOOL(hAPP_f1935102916l_bool(Pa,F_1)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,F_1))| -hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,F_1),A_1))| -hBOOL(hAPP_f1935102916l_bool(Pa,bot_bo1649642514l_bool))|hBOOL(hAPP_f1935102916l_bool(Pa,$f111(Pa,A_1,F_1)))|hBOOL(hAPP_f1935102916l_bool(Pa,F_1)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,F_1))| -hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,F_1),A_1))| -hBOOL(hAPP_f1935102916l_bool(Pa,bot_bo1649642514l_bool))| -hBOOL(hAPP_f1935102916l_bool(Pa,insert1325755072e_bool($f112(Pa,A_1,F_1),$f111(Pa,A_1,F_1))))|hBOOL(hAPP_f1935102916l_bool(Pa,F_1)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,F_1))| -hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,F_1),A_1))| -hBOOL(hAPP_f621171935l_bool(Pa,bot_bo1389914601l_bool))|is_fun_a_bool($f114(Pa,A_1,F_1))|hBOOL(hAPP_f621171935l_bool(Pa,F_1)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,F_1))| -hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,F_1),A_1))| -hBOOL(hAPP_f621171935l_bool(Pa,bot_bo1389914601l_bool))|is_fun949378684l_bool($f113(Pa,A_1,F_1))|hBOOL(hAPP_f621171935l_bool(Pa,F_1)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,F_1))| -hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,F_1),A_1))| -hBOOL(hAPP_f621171935l_bool(Pa,bot_bo1389914601l_bool))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,$f113(Pa,A_1,F_1)))|hBOOL(hAPP_f621171935l_bool(Pa,F_1)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,F_1))| -hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,F_1),A_1))| -hBOOL(hAPP_f621171935l_bool(Pa,bot_bo1389914601l_bool))|hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool,$f114(Pa,A_1,F_1)),A_1))|hBOOL(hAPP_f621171935l_bool(Pa,F_1)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,F_1))| -hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,F_1),A_1))| -hBOOL(hAPP_f621171935l_bool(Pa,bot_bo1389914601l_bool))| -hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool,$f114(Pa,A_1,F_1)),$f113(Pa,A_1,F_1)))|hBOOL(hAPP_f621171935l_bool(Pa,F_1)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,F_1))| -hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,F_1),A_1))| -hBOOL(hAPP_f621171935l_bool(Pa,bot_bo1389914601l_bool))|hBOOL(hAPP_f621171935l_bool(Pa,$f113(Pa,A_1,F_1)))|hBOOL(hAPP_f621171935l_bool(Pa,F_1)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,F_1))| -hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,F_1),A_1))| -hBOOL(hAPP_f621171935l_bool(Pa,bot_bo1389914601l_bool))| -hBOOL(hAPP_f621171935l_bool(Pa,insert_fun_a_bool($f114(Pa,A_1,F_1),$f113(Pa,A_1,F_1))))|hBOOL(hAPP_f621171935l_bool(Pa,F_1)).
% 8.10/8.09 0 [] -hBOOL(hAPP_fun_a_bool_bool(p(insert_a(hAPP_pname_a(mgt_call,Pn),G)),insert_a(mgt(the_com(body(Pn))),bot_bot_fun_a_bool)))|hBOOL(hAPP_fun_a_bool_bool(p(G),insert_a(hAPP_pname_a(mgt_call,Pn),bot_bot_fun_a_bool))).
% 8.10/8.09 0 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,F_1))| -hBOOL(hAPP_f1637334154l_bool(Pa,bot_bo1701429464l_bool))|hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,$f115(Pa,F_1)))|hBOOL(hAPP_f1637334154l_bool(Pa,F_1)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,F_1))| -hBOOL(hAPP_f1637334154l_bool(Pa,bot_bo1701429464l_bool))| -hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,$f116(Pa,F_1)),$f115(Pa,F_1)))|hBOOL(hAPP_f1637334154l_bool(Pa,F_1)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,F_1))| -hBOOL(hAPP_f1637334154l_bool(Pa,bot_bo1701429464l_bool))|hBOOL(hAPP_f1637334154l_bool(Pa,$f115(Pa,F_1)))|hBOOL(hAPP_f1637334154l_bool(Pa,F_1)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,F_1))| -hBOOL(hAPP_f1637334154l_bool(Pa,bot_bo1701429464l_bool))| -hBOOL(hAPP_f1637334154l_bool(Pa,insert_fun_nat_bool($f116(Pa,F_1),$f115(Pa,F_1))))|hBOOL(hAPP_f1637334154l_bool(Pa,F_1)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,F_1))| -hBOOL(hAPP_f1935102916l_bool(Pa,bot_bo1649642514l_bool))|is_fun_pname_bool($f118(Pa,F_1))|hBOOL(hAPP_f1935102916l_bool(Pa,F_1)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,F_1))| -hBOOL(hAPP_f1935102916l_bool(Pa,bot_bo1649642514l_bool))|is_fun1661590463l_bool($f117(Pa,F_1))|hBOOL(hAPP_f1935102916l_bool(Pa,F_1)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,F_1))| -hBOOL(hAPP_f1935102916l_bool(Pa,bot_bo1649642514l_bool))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,$f117(Pa,F_1)))|hBOOL(hAPP_f1935102916l_bool(Pa,F_1)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,F_1))| -hBOOL(hAPP_f1935102916l_bool(Pa,bot_bo1649642514l_bool))| -hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,$f118(Pa,F_1)),$f117(Pa,F_1)))|hBOOL(hAPP_f1935102916l_bool(Pa,F_1)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,F_1))| -hBOOL(hAPP_f1935102916l_bool(Pa,bot_bo1649642514l_bool))|hBOOL(hAPP_f1935102916l_bool(Pa,$f117(Pa,F_1)))|hBOOL(hAPP_f1935102916l_bool(Pa,F_1)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,F_1))| -hBOOL(hAPP_f1935102916l_bool(Pa,bot_bo1649642514l_bool))| -hBOOL(hAPP_f1935102916l_bool(Pa,insert1325755072e_bool($f118(Pa,F_1),$f117(Pa,F_1))))|hBOOL(hAPP_f1935102916l_bool(Pa,F_1)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,F_1))| -hBOOL(hAPP_f621171935l_bool(Pa,bot_bo1389914601l_bool))|is_fun_a_bool($f120(Pa,F_1))|hBOOL(hAPP_f621171935l_bool(Pa,F_1)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,F_1))| -hBOOL(hAPP_f621171935l_bool(Pa,bot_bo1389914601l_bool))|is_fun949378684l_bool($f119(Pa,F_1))|hBOOL(hAPP_f621171935l_bool(Pa,F_1)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,F_1))| -hBOOL(hAPP_f621171935l_bool(Pa,bot_bo1389914601l_bool))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,$f119(Pa,F_1)))|hBOOL(hAPP_f621171935l_bool(Pa,F_1)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,F_1))| -hBOOL(hAPP_f621171935l_bool(Pa,bot_bo1389914601l_bool))| -hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool,$f120(Pa,F_1)),$f119(Pa,F_1)))|hBOOL(hAPP_f621171935l_bool(Pa,F_1)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,F_1))| -hBOOL(hAPP_f621171935l_bool(Pa,bot_bo1389914601l_bool))|hBOOL(hAPP_f621171935l_bool(Pa,$f119(Pa,F_1)))|hBOOL(hAPP_f621171935l_bool(Pa,F_1)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,F_1))| -hBOOL(hAPP_f621171935l_bool(Pa,bot_bo1389914601l_bool))| -hBOOL(hAPP_f621171935l_bool(Pa,insert_fun_a_bool($f120(Pa,F_1),$f119(Pa,F_1))))|hBOOL(hAPP_f621171935l_bool(Pa,F_1)).
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,$f121(U,F)),hAPP_nat_nat(F,$f121(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)))).
% 8.10/8.09 0 [] -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,Pn),u))|hBOOL(wt(the_com(body(Pn)))).
% 8.10/8.09 0 [] hAPP_nat_nat(minus_minus_nat(M),hAPP_nat_nat(suc,N))=hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(M),one_one_nat)),N).
% 8.10/8.09 0 [] hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(suc,N)),one_one_nat)=N.
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,M_1)),Na))|hBOOL(hAPP_nat_bool(nat_case_bool(fFalse,hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1)),Na)).
% 8.10/8.09 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,M_1)),Na))| -hBOOL(hAPP_nat_bool(nat_case_bool(fFalse,hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1)),Na)).
% 8.10/8.09 0 [] hAPP_nat_nat(plus_plus_nat(M),hAPP_nat_nat(suc,N))=hAPP_nat_nat(suc,hAPP_nat_nat(plus_plus_nat(M),N)).
% 8.10/8.09 0 [] hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(suc,M)),N)=hAPP_nat_nat(suc,hAPP_nat_nat(plus_plus_nat(M),N)).
% 8.10/8.09 0 [] hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(suc,M)),N)=hAPP_nat_nat(plus_plus_nat(M),hAPP_nat_nat(suc,N)).
% 8.10/8.09 0 [] hAPP_nat_nat(plus_plus_nat(M_1),K_2)!=hAPP_nat_nat(plus_plus_nat(Na),K_2)|M_1=Na.
% 8.10/8.09 0 [] hAPP_nat_nat(plus_plus_nat(M_1),K_2)=hAPP_nat_nat(plus_plus_nat(Na),K_2)|M_1!=Na.
% 8.10/8.09 0 [] hAPP_nat_nat(plus_plus_nat(K_2),M_1)!=hAPP_nat_nat(plus_plus_nat(K_2),Na)|M_1=Na.
% 8.10/8.09 0 [] hAPP_nat_nat(plus_plus_nat(K_2),M_1)=hAPP_nat_nat(plus_plus_nat(K_2),Na)|M_1!=Na.
% 8.10/8.09 0 [] hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(M),N)),K)=hAPP_nat_nat(plus_plus_nat(M),hAPP_nat_nat(plus_plus_nat(N),K)).
% 8.10/8.09 0 [] hAPP_nat_nat(plus_plus_nat(X),hAPP_nat_nat(plus_plus_nat(Y),Z))=hAPP_nat_nat(plus_plus_nat(Y),hAPP_nat_nat(plus_plus_nat(X),Z)).
% 8.10/8.09 0 [] hAPP_nat_nat(plus_plus_nat(M),N)=hAPP_nat_nat(plus_plus_nat(N),M).
% 8.10/8.09 0 [] hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(M),N)),N)=M.
% 8.10/8.09 0 [] hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(N),M)),N)=M.
% 8.10/8.09 0 [] hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(I),J_2)),K)=hAPP_nat_nat(minus_minus_nat(I),hAPP_nat_nat(plus_plus_nat(J_2),K)).
% 8.10/8.09 0 [] hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(K),M)),hAPP_nat_nat(plus_plus_nat(K),N))=hAPP_nat_nat(minus_minus_nat(M),N).
% 8.10/8.09 0 [] hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(M),K)),hAPP_nat_nat(plus_plus_nat(N),K))=hAPP_nat_nat(minus_minus_nat(M),N).
% 8.10/8.09 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),hAPP_nat_nat(plus_plus_nat(M),N))).
% 8.10/8.09 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),hAPP_nat_nat(plus_plus_nat(N),M))).
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),Na))|Na=hAPP_nat_nat(plus_plus_nat(M_1),$f122(M_1,Na)).
% 8.10/8.09 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),Na))|Na!=hAPP_nat_nat(plus_plus_nat(M_1),K_1).
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(K_2),M_1)),hAPP_nat_nat(plus_plus_nat(K_2),Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),Na)).
% 8.10/8.09 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(K_2),M_1)),hAPP_nat_nat(plus_plus_nat(K_2),Na)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),Na)).
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),J_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),hAPP_nat_nat(plus_plus_nat(J_2),M))).
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),J_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),hAPP_nat_nat(plus_plus_nat(M),J_2))).
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),J_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(I),K)),hAPP_nat_nat(plus_plus_nat(J_2),K))).
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),J_2))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),L))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(I),K)),hAPP_nat_nat(plus_plus_nat(J_2),L))).
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(M),K)),N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),N)).
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(M),K)),N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N)).
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(M),K)),N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N)).
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(M),K)),N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),N)).
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),J_2))|hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(J_2),I)),K)=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(minus_minus_nat(J_2),K)),I).
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),J_2))|hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(minus_minus_nat(J_2),K)),I)=hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(J_2),I)),K).
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),J_2))|hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(I),J_2)),K)=hAPP_nat_nat(plus_plus_nat(I),hAPP_nat_nat(minus_minus_nat(J_2),K)).
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_1),J_1))|hAPP_nat_nat(minus_minus_nat(J_1),I_1)!=K_2|J_1=hAPP_nat_nat(plus_plus_nat(K_2),I_1).
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_1),J_1))|hAPP_nat_nat(minus_minus_nat(J_1),I_1)=K_2|J_1!=hAPP_nat_nat(plus_plus_nat(K_2),I_1).
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),M))|hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(minus_minus_nat(M),N)),N)=M.
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_2),J_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_1),hAPP_nat_nat(minus_minus_nat(J_1),K_2)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(I_1),K_2)),J_1)).
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_2),J_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_1),hAPP_nat_nat(minus_minus_nat(J_1),K_2)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(I_1),K_2)),J_1)).
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),J_2))|hAPP_nat_nat(plus_plus_nat(I),hAPP_nat_nat(minus_minus_nat(J_2),K))=hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(I),J_2)),K).
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),M))|hAPP_nat_nat(plus_plus_nat(N),hAPP_nat_nat(minus_minus_nat(M),N))=M.
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(N),M)),K))).
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(minus_minus_nat(J_1),K_2)),I_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J_1),hAPP_nat_nat(plus_plus_nat(I_1),K_2))).
% 8.10/8.09 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(minus_minus_nat(J_1),K_2)),I_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J_1),hAPP_nat_nat(plus_plus_nat(I_1),K_2))).
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),J_2))|hAPP_nat_nat(minus_minus_nat(I),hAPP_nat_nat(minus_minus_nat(J_2),K))=hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(I),K)),J_2).
% 8.10/8.09 0 [] hAPP_nat_nat(suc,N)=hAPP_nat_nat(plus_plus_nat(N),one_one_nat).
% 8.10/8.09 0 [] hAPP_nat_nat(suc,N)=hAPP_nat_nat(plus_plus_nat(one_one_nat),N).
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),J_2))|hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(suc,hAPP_nat_nat(minus_minus_nat(J_2),K))),M)=hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(suc,J_2)),hAPP_nat_nat(plus_plus_nat(K),M)).
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),J_2))|hAPP_nat_nat(minus_minus_nat(M),hAPP_nat_nat(suc,hAPP_nat_nat(minus_minus_nat(J_2),K)))=hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(M),K)),hAPP_nat_nat(suc,J_2)).
% 8.10/8.09 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(plus_plus_nat(Y),Z))).
% 8.10/8.09 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(plus_plus_nat(Y),Z))).
% 8.10/8.09 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),hAPP_nat_nat(suc,N))).
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,M)),hAPP_nat_nat(suc,N))).
% 8.10/8.09 0 [] hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_nat),K_2)))).
% 8.10/8.09 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(plus_plus_nat(Y),Z))).
% 8.10/8.09 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(plus_plus_nat(Y),Z))).
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(I),J_2)),K))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),K)).
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,K),L))|hAPP_nat_nat(plus_plus_nat(M),L)!=hAPP_nat_nat(plus_plus_nat(K),N)|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N)).
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J_2))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,K),L))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(I),K)),hAPP_nat_nat(plus_plus_nat(J_2),L))).
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(I),K)),hAPP_nat_nat(plus_plus_nat(J_2),K))).
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),hAPP_nat_nat(plus_plus_nat(M),J_2))).
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),hAPP_nat_nat(plus_plus_nat(J_2),M))).
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(K_2),M_1)),hAPP_nat_nat(plus_plus_nat(K_2),Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),Na)).
% 8.10/8.09 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(K_2),M_1)),hAPP_nat_nat(plus_plus_nat(K_2),Na)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),Na)).
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(J_2),I)),I)).
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(I),J_2)),I)).
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,M)),hAPP_nat_nat(suc,N)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N)).
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,M)),N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N)).
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),hAPP_nat_nat(suc,N)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))|M=N.
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J_2))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J_2),K))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,I)),K)).
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))|hAPP_nat_nat(suc,M)=N|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,M)),N)).
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),hAPP_nat_nat(suc,N))).
% 8.10/8.09 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),M))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),hAPP_nat_nat(suc,M)))|M=N.
% 8.10/8.09 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),M_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),hAPP_nat_nat(suc,M_1)))|Na=M_1.
% 8.10/8.09 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),M_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),hAPP_nat_nat(suc,M_1)))|Na!=M_1.
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,M_1)),hAPP_nat_nat(suc,Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),Na)).
% 8.10/8.09 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,M_1)),hAPP_nat_nat(suc,Na)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),Na)).
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),hAPP_nat_nat(suc,Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),Na))|M_1=Na.
% 8.10/8.09 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),hAPP_nat_nat(suc,Na)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),Na)).
% 8.10/8.09 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),hAPP_nat_nat(suc,Na)))|M_1!=Na.
% 8.10/8.09 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),Na))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),hAPP_nat_nat(suc,M_1))).
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),Na))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),hAPP_nat_nat(suc,M_1))).
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N)).
% 8.10/8.09 0 [] M!=N|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N)).
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))|M=N|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N)).
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N)).
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),Na))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),Na))|M_1=Na.
% 8.10/8.09 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),Na))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),Na)).
% 8.10/8.09 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),Na))|M_1!=Na.
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),Na))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),Na)).
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),Na))|M_1!=Na.
% 8.10/8.09 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),Na))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),Na))|M_1=Na.
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),L))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(L),N)),hAPP_nat_nat(minus_minus_nat(L),M))).
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J_2),K))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(J_2),N)),K)).
% 8.10/8.09 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)).
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),N)).
% 8.10/8.09 0 [] M_1=Na|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),Na))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),M_1)).
% 8.10/8.09 0 [] M_1!=Na| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),Na)).
% 8.10/8.09 0 [] M_1!=Na| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),M_1)).
% 8.10/8.09 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)).
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),N)).
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),M))|M!=N.
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,S),T))|S!=T.
% 8.10/8.09 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),Na))|M_1=Na|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),M_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(Pa,Na),M_1)).
% 8.10/8.09 0 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,N_1))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),$f123(N_1))).
% 8.10/8.09 0 [] hBOOL(hAPP_f54304608l_bool(finite_finite_nat,N_1))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f124(N_1,M_2)),N_1)).
% 8.10/8.09 0 [] hBOOL(hAPP_f54304608l_bool(finite_finite_nat,N_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f124(N_1,M_2)),M_2)).
% 8.10/8.09 0 [] hAPP_f22106695ol_nat(finite_card_nat,collect_nat(hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_nat),Na)))=Na.
% 8.10/8.09 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_1))))).
% 8.10/8.09 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),hAPP_nat_nat(suc,hAPP_nat_nat(plus_plus_nat(I),M)))).
% 8.10/8.09 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),hAPP_nat_nat(suc,hAPP_nat_nat(plus_plus_nat(M),I)))).
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),Na))|Na=hAPP_nat_nat(suc,hAPP_nat_nat(plus_plus_nat(M_1),$f125(M_1,Na))).
% 8.10/8.09 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),Na))|Na!=hAPP_nat_nat(suc,hAPP_nat_nat(plus_plus_nat(M_1),K_1)).
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),M_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,Na)),M_1)).
% 8.10/8.09 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),M_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,Na)),M_1)).
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),hAPP_nat_nat(suc,Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),Na)).
% 8.10/8.09 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),hAPP_nat_nat(suc,Na)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),Na)).
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,M_1)),Na))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),Na)).
% 8.10/8.09 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,M_1)),Na))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),Na)).
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),hAPP_nat_nat(suc,N))).
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,M)),N)).
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),Na))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),hAPP_nat_nat(suc,M_1)))|Na=M_1.
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),Na))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),hAPP_nat_nat(suc,M_1)))|Na!=M_1.
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,M)),N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N)).
% 8.10/8.09 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(M),N)),hAPP_nat_nat(suc,M))).
% 8.10/8.09 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))|hAPP_nat_nat(plus_plus_nat(N),hAPP_nat_nat(minus_minus_nat(M),N))=M.
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),hAPP_nat_nat(minus_minus_nat(J_1),K_2)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(I_1),K_2)),J_1)).
% 8.10/8.09 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),hAPP_nat_nat(minus_minus_nat(J_1),K_2)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(I_1),K_2)),J_1)).
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C),A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(A),C)),hAPP_nat_nat(minus_minus_nat(B),C))).
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_2),M_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_2),Na))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(M_1),K_2)),hAPP_nat_nat(minus_minus_nat(Na),K_2)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),Na)).
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_2),M_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_2),Na))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(M_1),K_2)),hAPP_nat_nat(minus_minus_nat(Na),K_2)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),Na)).
% 8.10/8.09 0 [] hAPP_n1699378549t_bool(ord_less_nat,X_1)=hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,X_1)).
% 8.10/8.09 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f127(M_1,K_2,F)),$f126(M_1,K_2,F)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(F,M_1)),K_2)),hAPP_nat_nat(F,hAPP_nat_nat(plus_plus_nat(M_1),K_2)))).
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(F,$f127(M_1,K_2,F))),hAPP_nat_nat(F,$f126(M_1,K_2,F))))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(F,M_1)),K_2)),hAPP_nat_nat(F,hAPP_nat_nat(plus_plus_nat(M_1),K_2)))).
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_1),J_1))| -hBOOL(hAPP_nat_bool(Pa,J_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f128(Pa,I_1,J_1)),J_1))|hBOOL(hAPP_nat_bool(Pa,I_1)).
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_1),J_1))| -hBOOL(hAPP_nat_bool(Pa,J_1))|hBOOL(hAPP_nat_bool(Pa,hAPP_nat_nat(suc,$f128(Pa,I_1,J_1))))|hBOOL(hAPP_nat_bool(Pa,I_1)).
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_1),J_1))| -hBOOL(hAPP_nat_bool(Pa,J_1))| -hBOOL(hAPP_nat_bool(Pa,$f128(Pa,I_1,J_1)))|hBOOL(hAPP_nat_bool(Pa,I_1)).
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))|N=hAPP_nat_nat(suc,hAPP_nat_nat(plus_plus_nat(M),$f129(M,N))).
% 8.10/8.09 0 [] hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f130(Na,N_1)),N_1))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,N_1)).
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f130(Na,N_1)),Na))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,N_1)).
% 8.10/8.09 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f132(I_1,J_1,F)),$f131(I_1,J_1,F)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_1),J_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(F,I_1)),hAPP_nat_nat(F,J_1))).
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(F,$f132(I_1,J_1,F))),hAPP_nat_nat(F,$f131(I_1,J_1,F))))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_1),J_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(F,I_1)),hAPP_nat_nat(F,J_1))).
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,I)),K))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),$f133(I,K))).
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,I)),K))|K=hAPP_nat_nat(suc,$f133(I,K)).
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),K))|K=hAPP_nat_nat(suc,I)|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),$f134(I,K))).
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),K))|K=hAPP_nat_nat(suc,I)|K=hAPP_nat_nat(suc,$f134(I,K)).
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),zero_zero_nat)).
% 8.10/8.09 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),N)).
% 8.10/8.09 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(suc,N))).
% 8.10/8.09 0 [] hAPP_nat_nat(plus_plus_nat(M_1),Na)!=hAPP_nat_nat(suc,zero_zero_nat)|M_1=hAPP_nat_nat(suc,zero_zero_nat)|M_1=zero_zero_nat.
% 8.10/8.09 0 [] hAPP_nat_nat(plus_plus_nat(M_1),Na)!=hAPP_nat_nat(suc,zero_zero_nat)|M_1=hAPP_nat_nat(suc,zero_zero_nat)|Na=hAPP_nat_nat(suc,zero_zero_nat).
% 8.10/8.09 0 [] hAPP_nat_nat(plus_plus_nat(M_1),Na)!=hAPP_nat_nat(suc,zero_zero_nat)|Na=zero_zero_nat|M_1=zero_zero_nat.
% 8.10/8.09 0 [] hAPP_nat_nat(plus_plus_nat(M_1),Na)!=hAPP_nat_nat(suc,zero_zero_nat)|Na=zero_zero_nat|Na=hAPP_nat_nat(suc,zero_zero_nat).
% 8.10/8.09 0 [] hAPP_nat_nat(plus_plus_nat(M_1),Na)=hAPP_nat_nat(suc,zero_zero_nat)|M_1!=hAPP_nat_nat(suc,zero_zero_nat)|Na!=zero_zero_nat.
% 8.10/8.09 0 [] hAPP_nat_nat(plus_plus_nat(M_1),Na)=hAPP_nat_nat(suc,zero_zero_nat)|M_1!=zero_zero_nat|Na!=hAPP_nat_nat(suc,zero_zero_nat).
% 8.10/8.09 0 [] hAPP_nat_nat(suc,zero_zero_nat)!=hAPP_nat_nat(plus_plus_nat(M_1),Na)|M_1=hAPP_nat_nat(suc,zero_zero_nat)|M_1=zero_zero_nat.
% 8.10/8.09 0 [] hAPP_nat_nat(suc,zero_zero_nat)!=hAPP_nat_nat(plus_plus_nat(M_1),Na)|M_1=hAPP_nat_nat(suc,zero_zero_nat)|Na=hAPP_nat_nat(suc,zero_zero_nat).
% 8.10/8.09 0 [] hAPP_nat_nat(suc,zero_zero_nat)!=hAPP_nat_nat(plus_plus_nat(M_1),Na)|Na=zero_zero_nat|M_1=zero_zero_nat.
% 8.10/8.09 0 [] hAPP_nat_nat(suc,zero_zero_nat)!=hAPP_nat_nat(plus_plus_nat(M_1),Na)|Na=zero_zero_nat|Na=hAPP_nat_nat(suc,zero_zero_nat).
% 8.10/8.09 0 [] hAPP_nat_nat(suc,zero_zero_nat)=hAPP_nat_nat(plus_plus_nat(M_1),Na)|M_1!=hAPP_nat_nat(suc,zero_zero_nat)|Na!=zero_zero_nat.
% 8.10/8.09 0 [] hAPP_nat_nat(suc,zero_zero_nat)=hAPP_nat_nat(plus_plus_nat(M_1),Na)|M_1!=zero_zero_nat|Na!=hAPP_nat_nat(suc,zero_zero_nat).
% 8.10/8.09 0 [] hAPP_nat_nat(minus_minus_nat(N),hAPP_nat_nat(plus_plus_nat(N),M))=zero_zero_nat.
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))|hAPP_nat_nat(minus_minus_nat(M),N)=zero_zero_nat.
% 8.10/8.09 0 [] hAPP_nat_nat(minus_minus_nat(M_1),Na)!=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),Na)).
% 8.10/8.09 0 [] hAPP_nat_nat(minus_minus_nat(M_1),Na)=zero_zero_nat| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),Na)).
% 8.10/8.09 0 [] one_one_nat=hAPP_nat_nat(suc,zero_zero_nat).
% 8.10/8.09 0 [] hAPP_nat_nat(minus_minus_nat(M),N)!=zero_zero_nat|hAPP_nat_nat(minus_minus_nat(N),M)!=zero_zero_nat|M=N.
% 8.10/8.09 0 [] hAPP_nat_nat(minus_minus_nat(M),M)=zero_zero_nat.
% 8.10/8.09 0 [] hAPP_nat_nat(minus_minus_nat(M),zero_zero_nat)=M.
% 8.10/8.09 0 [] hAPP_nat_nat(minus_minus_nat(zero_zero_nat),N)=zero_zero_nat.
% 8.10/8.09 0 [] hAPP_nat_nat(suc,M)!=zero_zero_nat.
% 8.10/8.09 0 [] zero_zero_nat!=hAPP_nat_nat(suc,M).
% 8.10/8.09 0 [] hAPP_nat_nat(suc,Nat_1)!=zero_zero_nat.
% 8.10/8.09 0 [] hAPP_nat_nat(suc,M)!=zero_zero_nat.
% 8.10/8.09 0 [] zero_zero_nat!=hAPP_nat_nat(suc,Nat).
% 8.10/8.09 0 [] zero_zero_nat!=hAPP_nat_nat(suc,M).
% 8.10/8.09 0 [] bot_bot_nat=zero_zero_nat.
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Na),zero_zero_nat))|Na=zero_zero_nat.
% 8.10/8.09 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Na),zero_zero_nat))|Na!=zero_zero_nat.
% 8.10/8.09 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),N)).
% 8.10/8.09 0 [] -hBOOL(hAPP_bool_bool(fNot,P))| -hBOOL(P).
% 8.10/8.09 0 [] hBOOL(P)|hBOOL(hAPP_bool_bool(fNot,P)).
% 8.10/8.09 0 [] -hBOOL(P)| -hBOOL(Q)|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,P),Q)).
% 8.10/8.09 0 [] -hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,P),Q))|hBOOL(P).
% 8.10/8.09 0 [] -hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,P),Q))|hBOOL(Q).
% 8.10/8.09 0 [] -hBOOL(P)|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,P),Q)).
% 8.10/8.09 0 [] -hBOOL(Q)|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,P),Q)).
% 8.10/8.09 0 [] -hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,P),Q))|hBOOL(P)|hBOOL(Q).
% 8.10/8.09 0 [] -hBOOL(fFalse).
% 8.10/8.09 0 [] -is_bool(P)|P=fTrue|P=fFalse.
% 8.10/8.09 0 [] hBOOL(P)|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,P),Q)).
% 8.10/8.09 0 [] -hBOOL(Q)|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,P),Q)).
% 8.10/8.09 0 [] -hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,P),Q))| -hBOOL(P)|hBOOL(Q).
% 8.10/8.09 0 [] -is_a(X)| -is_a(Y)| -hBOOL(hAPP_a_bool(hAPP_a_fun_a_bool(fe_qual_a,X),Y))|X=Y.
% 8.10/8.09 0 [] X!=Y|hBOOL(hAPP_a_bool(hAPP_a_fun_a_bool(fe_qual_a,X),Y)).
% 8.10/8.09 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fe_qual_nat,X),Y))|X=Y.
% 8.10/8.09 0 [] X!=Y|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fe_qual_nat,X),Y)).
% 8.10/8.09 0 [] -is_pname(X)| -is_pname(Y)| -hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fe_qual_pname,X),Y))|X=Y.
% 8.10/8.09 0 [] X!=Y|hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fe_qual_pname,X),Y)).
% 8.10/8.09 0 [] -is_bool(P)|hAPP_a_bool(cOMBK_bool_a(P),Q)=P.
% 8.10/8.09 0 [] -is_a(P)|hAPP_pname_a(cOMBK_a_pname(P),Q)=P.
% 8.10/8.09 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).
% 8.10/8.09 0 [] -is_bool(P)|hAPP_nat_bool(cOMBK_bool_nat(P),Q)=P.
% 8.10/8.09 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.
% 8.10/8.09 0 [] X!=Y|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(fe_qual_fun_a_bool,X),Y)).
% 8.10/8.09 0 [] -is_bool(P)|hAPP_pname_bool(cOMBK_bool_pname(P),Q)=P.
% 8.10/8.09 0 [] hAPP_a_bool(hAPP_nat_fun_a_bool(cOMBC_a_nat_bool(P),Q),R)=hAPP_nat_bool(hAPP_a_fun_nat_bool(P,R),Q).
% 8.10/8.09 0 [] hAPP_nat_bool(hAPP_a_fun_nat_bool(cOMBC_nat_a_bool(P),Q),R)=hAPP_a_bool(hAPP_nat_fun_a_bool(P,R),Q).
% 8.10/8.09 0 [] hAPP_a_bool(cOMBB_bool_bool_a(P,Q),R)=hAPP_bool_bool(P,hAPP_a_bool(Q,R)).
% 8.10/8.09 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)).
% 8.10/8.09 0 [] hAPP_a_bool(hAPP_p1534023578a_bool(cOMBC_a_pname_bool(P),Q),R)=hAPP_pname_bool(hAPP_a93125764e_bool(P,R),Q).
% 8.10/8.09 0 [] hAPP_pname_bool(hAPP_a93125764e_bool(cOMBC_pname_a_bool(P),Q),R)=hAPP_a_bool(hAPP_p1534023578a_bool(P,R),Q).
% 8.10/8.09 0 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(fe_qual_fun_nat_bool,X),Y))|X=Y.
% 8.10/8.09 0 [] X!=Y|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(fe_qual_fun_nat_bool,X),Y)).
% 8.10/8.09 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.
% 8.10/8.09 0 [] X!=Y|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(fe_qual533582459e_bool,X),Y)).
% 8.10/8.09 0 [] hAPP_a_fun_a_bool(cOMBB_a_fun_a_bool_a(P,Q),R)=hAPP_a_fun_a_bool(P,hAPP_a_a(Q,R)).
% 8.10/8.09 0 [] hAPP_nat_bool(hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(P),Q),R)=hAPP_nat_bool(hAPP_n1699378549t_bool(P,R),Q).
% 8.10/8.09 0 [] hAPP_nat_bool(cOMBB_bool_bool_nat(P,Q),R)=hAPP_bool_bool(P,hAPP_nat_bool(Q,R)).
% 8.10/8.09 0 [] -is_bool(P)|hAPP_fun_a_bool_bool(cOMBK_324466864a_bool(P),Q)=P.
% 8.10/8.09 0 [] hAPP_nat_bool(cOMBS_nat_bool_bool(P,Q),R)=hAPP_bool_bool(hAPP_n1006566506l_bool(P,R),hAPP_nat_bool(Q,R)).
% 8.10/8.09 0 [] hAPP_pname_bool(hAPP_n1025906991e_bool(cOMBC_pname_nat_bool(P),Q),R)=hAPP_nat_bool(hAPP_p1499970991t_bool(P,R),Q).
% 8.10/8.09 0 [] hAPP_nat_bool(hAPP_p1499970991t_bool(cOMBC_nat_pname_bool(P),Q),R)=hAPP_pname_bool(hAPP_n1025906991e_bool(P,R),Q).
% 8.10/8.09 0 [] hAPP_pname_bool(cOMBB_647938656_pname(P,Q),R)=hAPP_bool_bool(P,hAPP_pname_bool(Q,R)).
% 8.10/8.09 0 [] hAPP_pname_bool(cOMBS_568398431l_bool(P,Q),R)=hAPP_bool_bool(hAPP_p393069232l_bool(P,R),hAPP_pname_bool(Q,R)).
% 8.10/8.09 0 [] hAPP_pname_bool(hAPP_p61793385e_bool(cOMBC_1149511130e_bool(P),Q),R)=hAPP_pname_bool(hAPP_p61793385e_bool(P,R),Q).
% 8.10/8.09 0 [] hAPP_nat_fun_a_bool(cOMBB_1885489796ol_nat(P,Q),R)=hAPP_a_fun_a_bool(P,hAPP_nat_a(Q,R)).
% 8.10/8.09 0 [] hAPP_a_bool(hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(P),Q),R)=hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(P,R),Q).
% 8.10/8.09 0 [] hAPP_p1534023578a_bool(cOMBB_1897541054_pname(P,Q),R)=hAPP_a_fun_a_bool(P,hAPP_pname_a(Q,R)).
% 8.10/8.09 0 [] -is_bool(P)|hAPP_f54304608l_bool(cOMBK_1994329625t_bool(P),Q)=P.
% 8.10/8.09 0 [] -is_bool(P)|hAPP_f1664156314l_bool(cOMBK_1857069011e_bool(P),Q)=P.
% 8.10/8.09 0 [] hAPP_a_fun_nat_bool(cOMBB_1321347587bool_a(P,Q),R)=hAPP_n1699378549t_bool(P,hAPP_a_nat(Q,R)).
% 8.10/8.09 0 [] hAPP_a_bool(hAPP_f1549043526a_bool(cOMBC_777206479l_bool(P),Q),R)=hAPP_f54304608l_bool(hAPP_a1392362872l_bool(P,R),Q).
% 8.10/8.09 0 [] hAPP_nat_bool(hAPP_f282463732t_bool(cOMBC_1928494297l_bool(P),Q),R)=hAPP_fun_a_bool_bool(hAPP_n1414589940l_bool(P,R),Q).
% 8.10/8.09 0 [] hAPP_fun_a_bool_bool(hAPP_n1414589940l_bool(cOMBC_619334683t_bool(P),Q),R)=hAPP_nat_bool(hAPP_f282463732t_bool(P,R),Q).
% 8.10/8.09 0 [] hAPP_fun_a_bool_bool(cOMBB_2140588453a_bool(P,Q),R)=hAPP_bool_bool(P,hAPP_fun_a_bool_bool(Q,R)).
% 8.10/8.09 0 [] hAPP_a_fun_bool_bool(cOMBB_1972296269bool_a(P,Q),R)=hAPP_b589554111l_bool(P,hAPP_a_bool(Q,R)).
% 8.10/8.09 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)).
% 8.10/8.09 0 [] hAPP_a_bool(hAPP_f1051908748a_bool(cOMBC_1834145417l_bool(P),Q),R)=hAPP_f1664156314l_bool(hAPP_a217006258l_bool(P,R),Q).
% 8.10/8.09 0 [] hAPP_pname_bool(hAPP_f1794073134e_bool(cOMBC_445755039l_bool(P),Q),R)=hAPP_fun_a_bool_bool(hAPP_p1824510254l_bool(P,R),Q).
% 8.10/8.09 0 [] hAPP_fun_a_bool_bool(hAPP_p1824510254l_bool(cOMBC_1738168533e_bool(P),Q),R)=hAPP_pname_bool(hAPP_f1794073134e_bool(P,R),Q).
% 8.10/8.09 0 [] hAPP_a93125764e_bool(cOMBB_610033911bool_a(P,Q),R)=hAPP_p61793385e_bool(P,hAPP_a_pname(Q,R)).
% 8.10/8.09 0 [] hAPP_n1699378549t_bool(cOMBB_800536526ol_nat(P,Q),R)=hAPP_n1699378549t_bool(P,hAPP_nat_nat(Q,R)).
% 8.10/8.09 0 [] hAPP_nat_bool(hAPP_f800510211t_bool(cOMBC_226598744l_bool(P),Q),R)=hAPP_f54304608l_bool(hAPP_n215258509l_bool(P,R),Q).
% 8.10/8.09 0 [] hAPP_f54304608l_bool(hAPP_n215258509l_bool(cOMBC_385542954t_bool(P),Q),R)=hAPP_nat_bool(hAPP_f800510211t_bool(P,R),Q).
% 8.10/8.09 0 [] hAPP_f54304608l_bool(cOMBB_238756964t_bool(P,Q),R)=hAPP_bool_bool(P,hAPP_f54304608l_bool(Q,R)).
% 8.10/8.09 0 [] hAPP_n1006566506l_bool(cOMBB_1015721476ol_nat(P,Q),R)=hAPP_b589554111l_bool(P,hAPP_nat_bool(Q,R)).
% 8.10/8.09 0 [] hAPP_p1499970991t_bool(cOMBB_523834888_pname(P,Q),R)=hAPP_n1699378549t_bool(P,hAPP_pname_nat(Q,R)).
% 8.10/8.09 0 [] hAPP_f54304608l_bool(cOMBS_1187019125l_bool(P,Q),R)=hAPP_bool_bool(hAPP_f1748468828l_bool(P,R),hAPP_f54304608l_bool(Q,R)).
% 8.10/8.09 0 [] hAPP_pname_bool(hAPP_f654413245e_bool(cOMBC_267053842l_bool(P),Q),R)=hAPP_f54304608l_bool(hAPP_p130839763l_bool(P,R),Q).
% 8.10/8.09 0 [] hAPP_nat_bool(hAPP_f1066163005t_bool(cOMBC_386238098l_bool(P),Q),R)=hAPP_f1664156314l_bool(hAPP_n850744903l_bool(P,R),Q).
% 8.10/8.09 0 [] hAPP_f1664156314l_bool(hAPP_n850744903l_bool(cOMBC_1666426608t_bool(P),Q),R)=hAPP_nat_bool(hAPP_f1066163005t_bool(P,R),Q).
% 8.10/8.09 0 [] hAPP_f54304608l_bool(hAPP_p130839763l_bool(cOMBC_615407716e_bool(P),Q),R)=hAPP_pname_bool(hAPP_f654413245e_bool(P,R),Q).
% 8.10/8.09 0 [] hAPP_n1025906991e_bool(cOMBB_1212655066ol_nat(P,Q),R)=hAPP_p61793385e_bool(P,hAPP_nat_pname(Q,R)).
% 8.10/8.09 0 [] hAPP_f1664156314l_bool(cOMBB_307249310e_bool(P,Q),R)=hAPP_bool_bool(P,hAPP_f1664156314l_bool(Q,R)).
% 8.10/8.09 0 [] hAPP_p393069232l_bool(cOMBB_675860798_pname(P,Q),R)=hAPP_b589554111l_bool(P,hAPP_pname_bool(Q,R)).
% 8.10/8.09 0 [] hAPP_f1664156314l_bool(cOMBS_350070575l_bool(P,Q),R)=hAPP_bool_bool(hAPP_f1476298914l_bool(P,R),hAPP_f1664156314l_bool(Q,R)).
% 8.10/8.09 0 [] hAPP_pname_bool(hAPP_f759274231e_bool(cOMBC_1058051404l_bool(P),Q),R)=hAPP_f1664156314l_bool(hAPP_p338031245l_bool(P,R),Q).
% 8.10/8.09 0 [] hAPP_f1664156314l_bool(hAPP_p338031245l_bool(cOMBC_1004116266e_bool(P),Q),R)=hAPP_pname_bool(hAPP_f759274231e_bool(P,R),Q).
% 8.10/8.09 0 [] hAPP_p61793385e_bool(cOMBB_542850580_pname(P,Q),R)=hAPP_p61793385e_bool(P,hAPP_pname_pname(Q,R)).
% 8.10/8.09 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).
% 8.10/8.09 0 [] hAPP_f282463732t_bool(cOMBB_164527437a_bool(P,Q),R)=hAPP_n1699378549t_bool(P,hAPP_fun_a_bool_nat(Q,R)).
% 8.10/8.09 0 [] hAPP_f198738859l_bool(cOMBB_338059395a_bool(P,Q),R)=hAPP_b589554111l_bool(P,hAPP_fun_a_bool_bool(Q,R)).
% 8.10/8.09 0 [] hAPP_f1794073134e_bool(cOMBB_1693087065a_bool(P,Q),R)=hAPP_p61793385e_bool(P,hAPP_f1128469712_pname(Q,R)).
% 8.10/8.09 0 [] hAPP_f800510211t_bool(cOMBB_1250273980t_bool(P,Q),R)=hAPP_n1699378549t_bool(P,hAPP_f22106695ol_nat(Q,R)).
% 8.10/8.09 0 [] hAPP_a85458249l_bool(cOMBB_472261505bool_a(P,Q),R)=hAPP_f1631501043l_bool(P,hAPP_a_fun_a_bool(Q,R)).
% 8.10/8.09 0 [] hAPP_f54304608l_bool(hAPP_f103356543l_bool(cOMBC_1693257480l_bool(P),Q),R)=hAPP_f54304608l_bool(hAPP_f103356543l_bool(P,R),Q).
% 8.10/8.09 0 [] hAPP_f1748468828l_bool(cOMBB_444170502t_bool(P,Q),R)=hAPP_b589554111l_bool(P,hAPP_f54304608l_bool(Q,R)).
% 8.10/8.09 0 [] hAPP_f1066163005t_bool(cOMBB_1896684278e_bool(P,Q),R)=hAPP_n1699378549t_bool(P,hAPP_f921600141ol_nat(Q,R)).
% 8.10/8.09 0 [] hAPP_f654413245e_bool(cOMBB_141086128t_bool(P,Q),R)=hAPP_p61793385e_bool(P,hAPP_f1291551745_pname(Q,R)).
% 8.10/8.09 0 [] hAPP_f1476298914l_bool(cOMBB_2095475776e_bool(P,Q),R)=hAPP_b589554111l_bool(P,hAPP_f1664156314l_bool(Q,R)).
% 8.10/8.09 0 [] hAPP_f1664156314l_bool(hAPP_f434788991l_bool(cOMBC_1284144636l_bool(P),Q),R)=hAPP_f1664156314l_bool(hAPP_f434788991l_bool(P,R),Q).
% 8.10/8.09 0 [] hAPP_f759274231e_bool(cOMBB_598082538e_bool(P,Q),R)=hAPP_p61793385e_bool(P,hAPP_f1297739591_pname(Q,R)).
% 8.10/8.09 0 [] hAPP_n1414589940l_bool(cOMBB_1823939024ol_nat(P,Q),R)=hAPP_f1631501043l_bool(P,hAPP_nat_fun_a_bool(Q,R)).
% 8.10/8.09 0 [] hAPP_fun_a_bool_bool(hAPP_f2117159681l_bool(cOMBC_1880041174l_bool(P),Q),R)=hAPP_f621171935l_bool(hAPP_f285962445l_bool(P,R),Q).
% 8.10/8.09 0 [] hAPP_p1824510254l_bool(cOMBB_392435466_pname(P,Q),R)=hAPP_f1631501043l_bool(P,hAPP_p1534023578a_bool(Q,R)).
% 8.10/8.09 0 [] hAPP_a1392362872l_bool(cOMBB_743407885bool_a(P,Q),R)=hAPP_f103356543l_bool(P,hAPP_a_fun_nat_bool(Q,R)).
% 8.10/8.09 0 [] hAPP_a217006258l_bool(cOMBB_1137537805bool_a(P,Q),R)=hAPP_f434788991l_bool(P,hAPP_a93125764e_bool(Q,R)).
% 8.10/8.09 0 [] hAPP_n215258509l_bool(cOMBB_2026977092ol_nat(P,Q),R)=hAPP_f103356543l_bool(P,hAPP_n1699378549t_bool(Q,R)).
% 8.10/8.09 0 [] hAPP_f54304608l_bool(hAPP_f1246832597l_bool(cOMBC_1245412066l_bool(P),Q),R)=hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(P,R),Q).
% 8.10/8.09 0 [] hAPP_p130839763l_bool(cOMBB_928955006_pname(P,Q),R)=hAPP_f103356543l_bool(P,hAPP_p1499970991t_bool(Q,R)).
% 8.10/8.09 0 [] hAPP_n850744903l_bool(cOMBB_2117322052ol_nat(P,Q),R)=hAPP_f434788991l_bool(P,hAPP_n1025906991e_bool(Q,R)).
% 8.10/8.09 0 [] hAPP_f1664156314l_bool(hAPP_f559147733l_bool(cOMBC_1988546018l_bool(P),Q),R)=hAPP_f1935102916l_bool(hAPP_f556039215l_bool(P,R),Q).
% 8.10/8.09 0 [] hAPP_p338031245l_bool(cOMBB_408569982_pname(P,Q),R)=hAPP_f434788991l_bool(P,hAPP_p61793385e_bool(Q,R)).
% 8.10/8.09 0 [] hAPP_f621171935l_bool(hAPP_f1434722111l_bool(cOMBC_331553030l_bool(P),Q),R)=hAPP_f621171935l_bool(hAPP_f1434722111l_bool(P,R),Q).
% 8.10/8.09 0 [] hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(cOMBC_595898202l_bool(P),Q),R)=hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(P,R),Q).
% 8.10/8.09 0 [] hAPP_f1935102916l_bool(hAPP_f510955609l_bool(cOMBC_7971162l_bool(P),Q),R)=hAPP_f1935102916l_bool(hAPP_f510955609l_bool(P,R),Q).
% 8.10/8.09 0 [] hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,u)).
% 8.10/8.09 0 [] hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),image_pname_a(mgt_call,u))).
% 8.10/8.09 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)))).
% 8.10/8.09 0 [] hAPP_fun_a_bool_nat(finite_card_a,g)=hAPP_nat_nat(minus_minus_nat(hAPP_fun_a_bool_nat(finite_card_a,image_pname_a(mgt_call,u))),hAPP_nat_nat(suc,na)).
% 8.10/8.10 0 [] hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)).
% 8.10/8.10 0 [] -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(mgt_call,pn)),g)).
% 8.10/8.10 0 [] -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(hAPP_pname_a(mgt_call,pn),g)),image_pname_a(mgt_call,u))).
% 8.10/8.10 end_of_list.
% 8.10/8.10
% 8.10/8.10 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 8.10/8.10
% 8.10/8.10 This ia a non-Horn set with equality. The strategy will be
% 8.10/8.10 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 8.10/8.10 deletion, with positive clauses in sos and nonpositive
% 8.10/8.10 clauses in usable.
% 8.10/8.10
% 8.10/8.10 dependent: set(knuth_bendix).
% 8.10/8.10 dependent: set(anl_eq).
% 8.10/8.10 dependent: set(para_from).
% 8.10/8.10 dependent: set(para_into).
% 8.10/8.10 dependent: clear(para_from_right).
% 8.10/8.10 dependent: clear(para_into_right).
% 8.10/8.10 dependent: set(para_from_vars).
% 8.10/8.10 dependent: set(eq_units_both_ways).
% 8.10/8.10 dependent: set(dynamic_demod_all).
% 8.10/8.10 dependent: set(dynamic_demod).
% 8.10/8.10 dependent: set(order_eq).
% 8.10/8.10 dependent: set(back_demod).
% 8.10/8.10 dependent: set(lrpo).
% 8.10/8.10 dependent: set(hyper_res).
% 8.10/8.10 dependent: set(unit_deletion).
% 8.10/8.10 dependent: set(factor).
% 8.10/8.10
% 8.10/8.10 ------------> process usable:
% 8.10/8.10 ** KEPT (pick-wt=6): 1 [] -is_fun_a_bool(A)|is_fun_a_bool(cOMBB_bool_bool_a(B,A)).
% 8.10/8.10 ** KEPT (pick-wt=6): 2 [] -is_fun_pname_bool(A)|is_fun_pname_bool(cOMBB_647938656_pname(B,A)).
% 8.10/8.10 ** KEPT (pick-wt=6): 3 [] -is_fun949378684l_bool(A)|is_fun949378684l_bool(cOMBB_2140588453a_bool(B,A)).
% 8.10/8.10 ** KEPT (pick-wt=6): 4 [] -is_fun1661590463l_bool(A)|is_fun1661590463l_bool(cOMBB_307249310e_bool(B,A)).
% 8.10/8.10 ** KEPT (pick-wt=5): 5 [] -is_bool(A)|is_fun_a_bool(cOMBK_bool_a(A)).
% 8.10/8.10 ** KEPT (pick-wt=5): 6 [] -is_bool(A)|is_fun_pname_bool(cOMBK_bool_pname(A)).
% 8.10/8.10 ** KEPT (pick-wt=5): 7 [] -is_bool(A)|is_fun949378684l_bool(cOMBK_324466864a_bool(A)).
% 8.10/8.10 ** KEPT (pick-wt=5): 8 [] -is_bool(A)|is_fun1661590463l_bool(cOMBK_1857069011e_bool(A)).
% 8.10/8.10 ** KEPT (pick-wt=6): 9 [] -is_fun_a_bool(A)|is_fun_a_bool(cOMBS_a_bool_bool(B,A)).
% 8.10/8.10 ** KEPT (pick-wt=6): 10 [] -is_fun_pname_bool(A)|is_fun_pname_bool(cOMBS_568398431l_bool(B,A)).
% 8.10/8.10 ** KEPT (pick-wt=6): 11 [] -is_fun949378684l_bool(A)|is_fun949378684l_bool(cOMBS_1035972772l_bool(B,A)).
% 8.10/8.10 ** KEPT (pick-wt=6): 12 [] -is_fun1661590463l_bool(A)|is_fun1661590463l_bool(cOMBS_350070575l_bool(B,A)).
% 8.10/8.10 ** KEPT (pick-wt=5): 13 [] -is_fun_a_bool(A)|is_fun_a_bool(collect_a(A)).
% 8.10/8.10 ** KEPT (pick-wt=5): 14 [] -is_fun_pname_bool(A)|is_fun_pname_bool(collect_pname(A)).
% 8.10/8.10 ** KEPT (pick-wt=5): 15 [] -is_fun949378684l_bool(A)|is_fun949378684l_bool(collect_fun_a_bool(A)).
% 8.10/8.10 ** KEPT (pick-wt=5): 16 [] -is_fun1661590463l_bool(A)|is_fun1661590463l_bool(collec1974731493e_bool(A)).
% 8.10/8.10 ** KEPT (pick-wt=6): 17 [] -is_fun_a_bool(A)|is_fun_a_bool(image_a_a(B,A)).
% 8.10/8.10 ** KEPT (pick-wt=6): 18 [] -is_fun_a_bool(A)|is_fun_pname_bool(image_a_pname(B,A)).
% 8.10/8.10 ** KEPT (pick-wt=6): 19 [] -is_fun_a_bool(A)|is_fun949378684l_bool(image_a_fun_a_bool(B,A)).
% 8.10/8.10 ** KEPT (pick-wt=6): 20 [] -is_fun_a_bool(A)|is_fun1661590463l_bool(image_819518260e_bool(B,A)).
% 8.10/8.10 ** KEPT (pick-wt=6): 21 [] -is_fun_pname_bool(A)|is_fun_a_bool(image_pname_a(B,A)).
% 8.10/8.10 ** KEPT (pick-wt=6): 22 [] -is_fun_pname_bool(A)|is_fun_pname_bool(image_pname_pname(B,A)).
% 8.10/8.10 ** KEPT (pick-wt=6): 23 [] -is_fun_pname_bool(A)|is_fun949378684l_bool(image_112932426a_bool(B,A)).
% 8.10/8.10 ** KEPT (pick-wt=6): 24 [] -is_fun_pname_bool(A)|is_fun1661590463l_bool(image_47868345e_bool(B,A)).
% 8.10/8.10 ** KEPT (pick-wt=6): 25 [] -is_fun949378684l_bool(A)|is_fun_a_bool(image_fun_a_bool_a(B,A)).
% 8.10/8.10 ** KEPT (pick-wt=6): 26 [] -is_fun949378684l_bool(A)|is_fun_pname_bool(image_1854862208_pname(B,A)).
% 8.10/8.10 ** KEPT (pick-wt=6): 27 [] -is_fun1661590463l_bool(A)|is_fun_a_bool(image_876012084bool_a(B,A)).
% 8.10/8.10 ** KEPT (pick-wt=6): 28 [] -is_fun1661590463l_bool(A)|is_fun_pname_bool(image_1283814551_pname(B,A)).
% 8.10/8.10 ** KEPT (pick-wt=8): 29 [] -is_a(A)| -is_fun_a_bool(B)|is_fun_a_bool(insert_a(A,B)).
% 8.10/8.10 ** KEPT (pick-wt=8): 30 [] -is_pname(A)| -is_fun_pname_bool(B)|is_fun_pname_bool(insert_pname(A,B)).
% 8.10/8.10 ** KEPT (pick-wt=8): 31 [] -is_fun_a_bool(A)| -is_fun949378684l_bool(B)|is_fun949378684l_bool(insert_fun_a_bool(A,B)).
% 8.10/8.10 ** KEPT (pick-wt=8): 32 [] -is_fun_pname_bool(A)| -is_fun1661590463l_bool(B)|is_fun1661590463l_bool(insert1325755072e_bool(A,B)).
% 8.10/8.10 ** KEPT (pick-wt=6): 33 [] -is_a(A)|is_a(hAPP_a_a(B,A)).
% 8.10/8.10 ** KEPT (pick-wt=6): 34 [] -is_a(A)|is_pname(hAPP_a_pname(B,A)).
% 8.10/8.10 ** KEPT (pick-wt=8): 35 [] -is_fun_a_bool(A)| -is_a(B)|is_bool(hAPP_a_bool(A,B)).
% 8.10/8.10 ** KEPT (pick-wt=6): 36 [] -is_a(A)|is_fun_a_bool(hAPP_a_fun_a_bool(B,A)).
% 8.10/8.10 ** KEPT (pick-wt=6): 37 [] -is_a(A)|is_fun_pname_bool(hAPP_a93125764e_bool(B,A)).
% 8.10/8.10 ** KEPT (pick-wt=6): 38 [] -is_a(A)|is_fun949378684l_bool(hAPP_a85458249l_bool(B,A)).
% 8.10/8.10 ** KEPT (pick-wt=6): 39 [] -is_a(A)|is_fun1661590463l_bool(hAPP_a217006258l_bool(B,A)).
% 8.10/8.10 ** KEPT (pick-wt=6): 40 [] -is_pname(A)|is_a(hAPP_pname_a(B,A)).
% 8.10/8.10 ** KEPT (pick-wt=6): 41 [] -is_pname(A)|is_pname(hAPP_pname_pname(B,A)).
% 8.10/8.10 ** KEPT (pick-wt=8): 42 [] -is_fun_pname_bool(A)| -is_pname(B)|is_bool(hAPP_pname_bool(A,B)).
% 8.10/8.10 ** KEPT (pick-wt=6): 43 [] -is_pname(A)|is_fun_a_bool(hAPP_p1534023578a_bool(B,A)).
% 8.10/8.10 ** KEPT (pick-wt=6): 44 [] -is_pname(A)|is_fun_pname_bool(hAPP_p61793385e_bool(B,A)).
% 8.10/8.10 ** KEPT (pick-wt=6): 45 [] -is_pname(A)|is_fun949378684l_bool(hAPP_p1824510254l_bool(B,A)).
% 8.10/8.10 ** KEPT (pick-wt=6): 46 [] -is_pname(A)|is_fun1661590463l_bool(hAPP_p338031245l_bool(B,A)).
% 8.10/8.10 ** KEPT (pick-wt=6): 47 [] -is_bool(A)|is_bool(hAPP_bool_bool(B,A)).
% 8.10/8.10 ** KEPT (pick-wt=6): 48 [] -is_fun_a_bool(A)|is_pname(hAPP_f1128469712_pname(B,A)).
% 8.10/8.10 ** KEPT (pick-wt=8): 49 [] -is_fun949378684l_bool(A)| -is_fun_a_bool(B)|is_bool(hAPP_fun_a_bool_bool(A,B)).
% 8.10/8.10 ** KEPT (pick-wt=6): 50 [] -is_fun_a_bool(A)|is_fun_a_bool(hAPP_f2050579477a_bool(B,A)).
% 8.10/8.10 ** KEPT (pick-wt=6): 51 [] -is_fun_a_bool(A)|is_fun_pname_bool(hAPP_f1794073134e_bool(B,A)).
% 8.10/8.10 ** KEPT (pick-wt=6): 52 [] -is_fun_a_bool(A)|is_fun949378684l_bool(hAPP_f1631501043l_bool(B,A)).
% 8.10/8.10 ** KEPT (pick-wt=6): 53 [] -is_fun_pname_bool(A)|is_pname(hAPP_f1297739591_pname(B,A)).
% 8.10/8.10 ** KEPT (pick-wt=8): 54 [] -is_fun1661590463l_bool(A)| -is_fun_pname_bool(B)|is_bool(hAPP_f1664156314l_bool(A,B)).
% 8.10/8.10 ** KEPT (pick-wt=6): 55 [] -is_fun_pname_bool(A)|is_fun_a_bool(hAPP_f1051908748a_bool(B,A)).
% 8.10/8.10 ** KEPT (pick-wt=6): 56 [] -is_fun_pname_bool(A)|is_fun_pname_bool(hAPP_f759274231e_bool(B,A)).
% 8.10/8.10 ** KEPT (pick-wt=6): 57 [] -is_fun_pname_bool(A)|is_fun1661590463l_bool(hAPP_f434788991l_bool(B,A)).
% 8.10/8.10 ** KEPT (pick-wt=6): 58 [] -is_fun949378684l_bool(A)|is_bool(hAPP_f621171935l_bool(B,A)).
% 8.10/8.10 ** KEPT (pick-wt=6): 59 [] -is_fun949378684l_bool(A)|is_fun949378684l_bool(hAPP_f2117159681l_bool(B,A)).
% 8.10/8.10 ** KEPT (pick-wt=6): 60 [] -is_fun1661590463l_bool(A)|is_bool(hAPP_f1935102916l_bool(B,A)).
% 8.10/8.10 ** KEPT (pick-wt=6): 61 [] -is_fun1661590463l_bool(A)|is_fun1661590463l_bool(hAPP_f559147733l_bool(B,A)).
% 8.10/8.10 ** KEPT (pick-wt=5): 62 [] -is_fun_a_bool(A)|is_fun949378684l_bool(p(A)).
% 8.10/8.10 ** KEPT (pick-wt=11): 63 [] -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B))|hBOOL(hAPP_fun_a_bool_bool(p(B),A)).
% 8.10/8.10 ** KEPT (pick-wt=12): 64 [] -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)))).
% 8.10/8.10 ** KEPT (pick-wt=12): 65 [] -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)))).
% 8.10/8.10 ** KEPT (pick-wt=12): 66 [] -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)))).
% 8.10/8.10 ** KEPT (pick-wt=12): 67 [] -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)))).
% 8.10/8.10 ** KEPT (pick-wt=12): 68 [] -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)))).
% 8.10/8.10 ** KEPT (pick-wt=12): 69 [] -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)))).
% 8.10/8.10 ** KEPT (pick-wt=10): 70 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))|hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_2129980159t_bool(B,A))).
% 8.10/8.10 ** KEPT (pick-wt=10): 71 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_47868345e_bool(B,A))).
% 8.10/8.10 ** KEPT (pick-wt=10): 72 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_112932426a_bool(B,A))).
% 8.10/8.10 ** KEPT (pick-wt=10): 73 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_nat_a(B,A))).
% 8.10/8.10 ** KEPT (pick-wt=10): 74 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))|hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_26036933t_bool(B,A))).
% 8.10/8.10 ** KEPT (pick-wt=10): 75 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_1655916159e_bool(B,A))).
% 8.10/8.10 ** KEPT (pick-wt=10): 76 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_nat_fun_a_bool(B,A))).
% 8.10/8.10 ** KEPT (pick-wt=10): 77 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_a_pname(B,A))).
% 8.10/8.10 ** KEPT (pick-wt=10): 78 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1921560913_pname(B,A))).
% 8.10/8.10 ** KEPT (pick-wt=10): 79 [] -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1283814551_pname(B,A))).
% 8.10/8.10 ** KEPT (pick-wt=10): 80 [] -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1854862208_pname(B,A))).
% 8.10/8.10 ** KEPT (pick-wt=10): 81 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_a_nat(B,A))).
% 8.10/8.10 ** KEPT (pick-wt=10): 82 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_496248727ol_nat(B,A))).
% 8.10/8.10 ** KEPT (pick-wt=10): 83 [] -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_1551609309ol_nat(B,A))).
% 8.10/8.10 ** KEPT (pick-wt=10): 84 [] -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_fun_a_bool_nat(B,A))).
% 8.10/8.10 ** KEPT (pick-wt=10): 85 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_pname_a(B,A))).
% 8.10/8.10 ** KEPT (pick-wt=10): 86 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A))|hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,insert_fun_nat_bool(B,A))).
% 8.10/8.10 ** KEPT (pick-wt=10): 87 [] -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,insert1325755072e_bool(B,A))).
% 8.10/8.10 ** KEPT (pick-wt=10): 88 [] -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,insert_fun_a_bool(B,A))).
% 8.10/8.10 ** KEPT (pick-wt=10): 89 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,insert_pname(B,A))).
% 8.10/8.10 ** KEPT (pick-wt=10): 90 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,insert_nat(B,A))).
% 8.10/8.10 ** KEPT (pick-wt=10): 91 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,insert_a(B,A))).
% 8.10/8.10 ** KEPT (pick-wt=16): 92 [] -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))).
% 8.10/8.10 ** KEPT (pick-wt=16): 93 [] -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))).
% 8.10/8.10 ** KEPT (pick-wt=16): 94 [] -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))).
% 8.10/8.10 ** KEPT (pick-wt=16): 95 [] -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))).
% 8.10/8.10 ** KEPT (pick-wt=16): 96 [] -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))).
% 8.10/8.10 ** KEPT (pick-wt=16): 97 [] -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))).
% 8.10/8.10 ** KEPT (pick-wt=16): 98 [] -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))).
% 8.10/8.10 ** KEPT (pick-wt=16): 99 [] -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))).
% 8.10/8.10 ** KEPT (pick-wt=16): 100 [] -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))).
% 8.10/8.10 ** KEPT (pick-wt=16): 101 [] -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))).
% 8.10/8.10 ** KEPT (pick-wt=16): 102 [] -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))).
% 8.10/8.10 ** KEPT (pick-wt=16): 103 [] -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))).
% 8.10/8.10 ** 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_fun_a_bool_nat(finite_card_a,image_pname_a(B,A))),hAPP_f921600141ol_nat(finite_card_pname,A))).
% 8.10/8.10 ** KEPT (pick-wt=20): 105 [] -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))).
% 8.10/8.10 ** KEPT (pick-wt=20): 106 [] -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))).
% 8.10/8.10 ** KEPT (pick-wt=20): 107 [] -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))).
% 8.10/8.10 ** KEPT (pick-wt=20): 108 [] -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))).
% 8.10/8.10 ** KEPT (pick-wt=20): 109 [] -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))).
% 8.10/8.10 ** KEPT (pick-wt=20): 110 [] -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))).
% 8.10/8.10 ** KEPT (pick-wt=23): 111 [] -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.
% 8.10/8.10 ** KEPT (pick-wt=27): 112 [] -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.
% 8.10/8.10 ** KEPT (pick-wt=27): 113 [] -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.
% 8.10/8.10 ** KEPT (pick-wt=27): 114 [] -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.
% 8.10/8.10 ** KEPT (pick-wt=27): 115 [] -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.
% 8.10/8.10 ** KEPT (pick-wt=23): 116 [] -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.
% 8.10/8.10 ** KEPT (pick-wt=16): 117 [] -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,insert_fun_nat_bool(B,A)))).
% 8.10/8.10 ** KEPT (pick-wt=16): 118 [] -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,insert1325755072e_bool(B,A)))).
% 8.10/8.10 ** KEPT (pick-wt=16): 119 [] -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,insert_fun_a_bool(B,A)))).
% 8.10/8.10 ** KEPT (pick-wt=16): 120 [] -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,insert_pname(B,A)))).
% 8.10/8.10 ** KEPT (pick-wt=16): 121 [] -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,insert_nat(B,A)))).
% 8.10/8.10 ** KEPT (pick-wt=16): 122 [] -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,insert_a(B,A)))).
% 8.10/8.10 ** KEPT (pick-wt=19): 123 [] -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,insert_fun_nat_bool(B,A))=hAPP_f696928925ol_nat(finite346522414t_bool,A).
% 8.10/8.10 ** KEPT (pick-wt=21): 124 [] -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,insert_fun_nat_bool(B,A))=hAPP_nat_nat(suc,hAPP_f696928925ol_nat(finite346522414t_bool,A)).
% 8.10/8.10 ** KEPT (pick-wt=19): 125 [] -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A))| -hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,B),A))|hAPP_f55526627ol_nat(finite1340463720e_bool,insert1325755072e_bool(B,A))=hAPP_f55526627ol_nat(finite1340463720e_bool,A).
% 8.10/8.10 ** KEPT (pick-wt=21): 126 [] -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A))|hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,B),A))|hAPP_f55526627ol_nat(finite1340463720e_bool,insert1325755072e_bool(B,A))=hAPP_nat_nat(suc,hAPP_f55526627ol_nat(finite1340463720e_bool,A)).
% 8.10/8.10 ** KEPT (pick-wt=19): 127 [] -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,insert_fun_a_bool(B,A))=hAPP_f2009550088ol_nat(finite1306199131a_bool,A).
% 8.10/8.10 ** KEPT (pick-wt=21): 128 [] -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,insert_fun_a_bool(B,A))=hAPP_nat_nat(suc,hAPP_f2009550088ol_nat(finite1306199131a_bool,A)).
% 8.10/8.10 ** KEPT (pick-wt=19): 129 [] -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,insert_nat(B,A))=hAPP_f22106695ol_nat(finite_card_nat,A).
% 8.10/8.10 ** KEPT (pick-wt=21): 130 [] -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,insert_nat(B,A))=hAPP_nat_nat(suc,hAPP_f22106695ol_nat(finite_card_nat,A)).
% 8.10/8.10 ** KEPT (pick-wt=19): 131 [] -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,insert_pname(B,A))=hAPP_f921600141ol_nat(finite_card_pname,A).
% 8.10/8.10 ** KEPT (pick-wt=21): 132 [] -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,insert_pname(B,A))=hAPP_nat_nat(suc,hAPP_f921600141ol_nat(finite_card_pname,A)).
% 8.10/8.10 ** KEPT (pick-wt=19): 133 [] -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,insert_a(B,A))=hAPP_fun_a_bool_nat(finite_card_a,A).
% 8.10/8.10 ** KEPT (pick-wt=21): 134 [] -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,insert_a(B,A))=hAPP_nat_nat(suc,hAPP_fun_a_bool_nat(finite_card_a,A)).
% 8.10/8.10 Following clause subsumed by 124 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,insert_fun_nat_bool(B,A))=hAPP_nat_nat(suc,hAPP_f696928925ol_nat(finite346522414t_bool,A)).
% 8.10/8.10 Following clause subsumed by 126 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,insert1325755072e_bool(B,A))=hAPP_nat_nat(suc,hAPP_f55526627ol_nat(finite1340463720e_bool,A)).
% 8.10/8.10 Following clause subsumed by 128 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,insert_fun_a_bool(B,A))=hAPP_nat_nat(suc,hAPP_f2009550088ol_nat(finite1306199131a_bool,A)).
% 8.10/8.10 Following clause subsumed by 130 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,insert_nat(B,A))=hAPP_nat_nat(suc,hAPP_f22106695ol_nat(finite_card_nat,A)).
% 8.10/8.10 Following clause subsumed by 132 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,insert_pname(B,A))=hAPP_nat_nat(suc,hAPP_f921600141ol_nat(finite_card_pname,A)).
% 8.10/8.10 Following clause subsumed by 134 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,insert_a(B,A))=hAPP_nat_nat(suc,hAPP_fun_a_bool_nat(finite_card_a,A)).
% 8.10/8.10 ** KEPT (pick-wt=14): 135 [] -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)))).
% 8.10/8.10 ** KEPT (pick-wt=14): 136 [] -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)))).
% 8.10/8.10 ** KEPT (pick-wt=14): 137 [] -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)))).
% 8.10/8.10 ** KEPT (pick-wt=14): 138 [] -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)))).
% 8.10/8.10 ** KEPT (pick-wt=14): 139 [] -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)))).
% 8.10/8.10 ** KEPT (pick-wt=14): 140 [] -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)))).
% 8.10/8.10 ** KEPT (pick-wt=14): 141 [] -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)))).
% 8.10/8.10 ** KEPT (pick-wt=14): 142 [] -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)))).
% 8.10/8.10 ** KEPT (pick-wt=14): 143 [] -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)))).
% 8.10/8.10 ** KEPT (pick-wt=14): 144 [] -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)))).
% 8.10/8.10 ** KEPT (pick-wt=14): 145 [] -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)))).
% 8.10/8.10 ** KEPT (pick-wt=14): 146 [] -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)))).
% 8.10/8.10 ** KEPT (pick-wt=19): 147 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(suc,B)),A)=hAPP_nat_nat(suc,hAPP_nat_nat(minus_minus_nat(B),A)).
% 8.10/8.10 ** KEPT (pick-wt=10): 148 [] hAPP_nat_nat(suc,A)!=hAPP_nat_nat(suc,B)|A=B.
% 8.10/8.10 Following clause subsumed by 148 during input processing: 0 [] hAPP_nat_nat(suc,A)!=hAPP_nat_nat(suc,B)|A=B.
% 8.10/8.10 ** KEPT (pick-wt=10): 149 [] hAPP_nat_nat(suc,A)=hAPP_nat_nat(suc,B)|A!=B.
% 8.10/8.10 ** KEPT (pick-wt=5): 150 [] hAPP_nat_nat(suc,A)!=A.
% 8.10/8.10 Following clause subsumed by 150 during input processing: 0 [flip.1] hAPP_nat_nat(suc,A)!=A.
% 8.10/8.10 ** KEPT (pick-wt=15): 151 [] -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.
% 8.10/8.10 ** KEPT (pick-wt=18): 152 [] -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)).
% 8.10/8.10 ** KEPT (pick-wt=9): 153 [] A!=B|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B)).
% 8.10/8.10 ** KEPT (pick-wt=14): 154 [] -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))).
% 8.10/8.10 ** KEPT (pick-wt=14): 155 [] -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))).
% 8.10/8.10 ** KEPT (pick-wt=19): 156 [] 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))).
% 8.10/8.10 ** KEPT (pick-wt=14): 157 [] -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))).
% 8.10/8.10 ** KEPT (pick-wt=14): 158 [] -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))).
% 8.10/8.10 ** KEPT (pick-wt=19): 159 [] 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))).
% 8.10/8.10 ** KEPT (pick-wt=14): 160 [] -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))).
% 8.10/8.10 ** KEPT (pick-wt=14): 161 [] -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))).
% 8.10/8.10 ** KEPT (pick-wt=19): 162 [] 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))).
% 8.10/8.10 ** KEPT (pick-wt=14): 163 [] -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))).
% 8.10/8.10 ** KEPT (pick-wt=14): 164 [] -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))).
% 8.10/8.10 ** KEPT (pick-wt=19): 165 [] 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))).
% 8.10/8.10 ** KEPT (pick-wt=14): 166 [] -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))).
% 8.10/8.10 ** KEPT (pick-wt=14): 167 [] -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))).
% 8.10/8.10 ** KEPT (pick-wt=19): 168 [] 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))).
% 8.10/8.10 ** KEPT (pick-wt=14): 169 [] -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))).
% 8.10/8.10 ** KEPT (pick-wt=14): 170 [] -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))).
% 8.10/8.10 ** KEPT (pick-wt=19): 171 [] 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))).
% 8.10/8.10 ** KEPT (pick-wt=10): 172 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,insert_fun_nat_bool(A,B)))|hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B)).
% 8.10/8.10 Following clause subsumed by 86 during input processing: 0 [] hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,insert_fun_nat_bool(A,B)))| -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B)).
% 8.10/8.10 ** KEPT (pick-wt=10): 173 [] -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,insert1325755072e_bool(A,B)))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B)).
% 8.10/8.10 Following clause subsumed by 87 during input processing: 0 [] hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,insert1325755072e_bool(A,B)))| -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B)).
% 8.10/8.10 ** KEPT (pick-wt=10): 174 [] -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,insert_fun_a_bool(A,B)))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B)).
% 8.10/8.10 Following clause subsumed by 88 during input processing: 0 [] hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,insert_fun_a_bool(A,B)))| -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B)).
% 8.10/8.10 ** KEPT (pick-wt=10): 175 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,insert_pname(A,B)))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B)).
% 8.10/8.10 Following clause subsumed by 89 during input processing: 0 [] hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,insert_pname(A,B)))| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B)).
% 8.10/8.10 ** KEPT (pick-wt=10): 176 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,insert_nat(A,B)))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B)).
% 8.10/8.10 Following clause subsumed by 90 during input processing: 0 [] hBOOL(hAPP_f54304608l_bool(finite_finite_nat,insert_nat(A,B)))| -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B)).
% 8.10/8.10 ** KEPT (pick-wt=10): 177 [] -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,insert_a(A,B)))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B)).
% 8.10/8.10 Following clause subsumed by 91 during input processing: 0 [] hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,insert_a(A,B)))| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B)).
% 8.10/8.10 ** KEPT (pick-wt=14): 178 [] -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)).
% 8.10/8.10 ** KEPT (pick-wt=14): 179 [] -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)).
% 8.10/8.10 ** KEPT (pick-wt=14): 180 [] -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)).
% 8.10/8.10 ** KEPT (pick-wt=14): 181 [] -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)).
% 8.10/8.10 ** KEPT (pick-wt=14): 182 [] -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)).
% 8.10/8.10 ** KEPT (pick-wt=14): 183 [] -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)).
% 8.10/8.10 Following clause subsumed by 178 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)).
% 8.10/8.10 Following clause subsumed by 179 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)).
% 8.10/8.10 Following clause subsumed by 180 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)).
% 8.10/8.10 Following clause subsumed by 181 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)).
% 8.10/8.10 Following clause subsumed by 182 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)).
% 8.10/8.10 Following clause subsumed by 183 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)).
% 8.10/8.10 ** KEPT (pick-wt=14): 184 [] -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)).
% 8.10/8.10 ** KEPT (pick-wt=19): 185 [] -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).
% 8.10/8.10 ** KEPT (pick-wt=14): 186 [] -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))).
% 8.10/8.10 ** KEPT (pick-wt=16): 187 [] -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)).
% 8.10/8.10 ** KEPT (pick-wt=16): 188 [] 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)).
% 8.10/8.10 Following clause subsumed by 185 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).
% 8.10/8.10 Following clause subsumed by 186 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)).
% 8.10/8.10 Following clause subsumed by 153 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).
% 8.10/8.10 ** KEPT (pick-wt=14): 189 [] -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)).
% 8.10/8.10 ** KEPT (pick-wt=8): 190 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,A)),A)).
% 8.10/8.10 ** KEPT (pick-wt=30): 191 [] -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(minus_minus_nat(B),A)),hAPP_nat_nat(minus_minus_nat(C),A)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),C)).
% 8.10/8.10 ** KEPT (pick-wt=30): 192 [] -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(minus_minus_nat(B),A)),hAPP_nat_nat(minus_minus_nat(C),A)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),C)).
% 8.10/8.10 ** KEPT (pick-wt=27): 193 [] -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(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(B),A)),hAPP_nat_nat(minus_minus_nat(C),A))=hAPP_nat_nat(minus_minus_nat(B),C).
% 8.10/8.10 ** KEPT (pick-wt=24): 194 [] -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(minus_minus_nat(B),A)!=hAPP_nat_nat(minus_minus_nat(C),A)|B=C.
% 8.10/8.10 ** KEPT (pick-wt=24): 195 [] -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(minus_minus_nat(B),A)=hAPP_nat_nat(minus_minus_nat(C),A)|B!=C.
% 8.10/8.10 ** KEPT (pick-wt=15): 196 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|hAPP_nat_nat(minus_minus_nat(B),hAPP_nat_nat(minus_minus_nat(B),A))=A.
% 8.10/8.10 ** KEPT (pick-wt=18): 197 [] -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(minus_minus_nat(A),C)),hAPP_nat_nat(minus_minus_nat(B),C))).
% 8.10/8.10 ** KEPT (pick-wt=18): 198 [] -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(minus_minus_nat(C),B)),hAPP_nat_nat(minus_minus_nat(C),A))).
% 8.10/8.10 ** KEPT (pick-wt=16): 199 [] -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)).
% 8.10/8.10 ** KEPT (pick-wt=16): 200 [] -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)).
% 8.10/8.10 ** KEPT (pick-wt=16): 201 [] -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)).
% 8.10/8.10 ** KEPT (pick-wt=16): 202 [] -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)).
% 8.10/8.10 ** KEPT (pick-wt=16): 203 [] -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)).
% 8.10/8.10 ** KEPT (pick-wt=16): 204 [] -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)).
% 8.10/8.10 ** KEPT (pick-wt=16): 205 [] -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)).
% 8.10/8.10 ** KEPT (pick-wt=16): 206 [] -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)).
% 8.10/8.10 ** KEPT (pick-wt=16): 207 [] -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),image_pname_nat(C,A)))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B)).
% 8.10/8.10 ** KEPT (pick-wt=16): 208 [] -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)).
% 8.10/8.10 ** KEPT (pick-wt=16): 209 [] -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)).
% 8.10/8.10 ** KEPT (pick-wt=16): 210 [] -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)).
% 8.10/8.10 ** KEPT (pick-wt=16): 211 [] -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)).
% 8.10/8.10 ** KEPT (pick-wt=16): 212 [] -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)).
% 8.10/8.10 ** KEPT (pick-wt=16): 213 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),image_nat_nat(C,A)))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B)).
% 8.10/8.10 ** KEPT (pick-wt=16): 214 [] -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)).
% 8.10/8.10 ** KEPT (pick-wt=16): 215 [] -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)).
% 8.10/8.10 ** KEPT (pick-wt=16): 216 [] -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)).
% 8.10/8.10 ** KEPT (pick-wt=16): 217 [] -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)).
% 8.10/8.10 ** KEPT (pick-wt=16): 218 [] -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)).
% 8.10/8.10 ** KEPT (pick-wt=16): 219 [] -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)).
% 8.10/8.10 ** KEPT (pick-wt=16): 220 [] -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)).
% 8.10/8.10 ** KEPT (pick-wt=16): 221 [] -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)).
% 8.10/8.10 ** KEPT (pick-wt=16): 222 [] -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)).
% 8.10/8.10 ** KEPT (pick-wt=23): 223 [] -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,$f1(B,C,A)),C)).
% 8.10/8.10 ** KEPT (pick-wt=21): 224 [] -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,$f1(B,C,A))).
% 8.10/8.10 ** KEPT (pick-wt=22): 226 [copy,225,flip.4] -is_fun_a_bool(A)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),image_fun_nat_bool_a(B,C)))|image_fun_nat_bool_a(B,$f1(B,C,A))=A.
% 8.10/8.10 ** KEPT (pick-wt=19): 227 [] -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($f2(B,C,A)).
% 8.10/8.10 ** KEPT (pick-wt=23): 228 [] -is_fun_a_bool(A)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),image_876012084bool_a(B,C)))|hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,$f2(B,C,A)),C)).
% 8.10/8.10 ** KEPT (pick-wt=21): 229 [] -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,$f2(B,C,A))).
% 8.10/8.10 ** KEPT (pick-wt=22): 231 [copy,230,flip.4] -is_fun_a_bool(A)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),image_876012084bool_a(B,C)))|image_876012084bool_a(B,$f2(B,C,A))=A.
% 8.10/8.10 ** KEPT (pick-wt=19): 232 [] -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($f3(B,C,A)).
% 8.10/8.10 ** KEPT (pick-wt=23): 233 [] -is_fun_a_bool(A)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),image_fun_a_bool_a(B,C)))|hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,$f3(B,C,A)),C)).
% 8.10/8.10 ** KEPT (pick-wt=21): 234 [] -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,$f3(B,C,A))).
% 8.10/8.10 ** KEPT (pick-wt=22): 236 [copy,235,flip.4] -is_fun_a_bool(A)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),image_fun_a_bool_a(B,C)))|image_fun_a_bool_a(B,$f3(B,C,A))=A.
% 8.10/8.10 ** KEPT (pick-wt=19): 237 [] -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($f4(B,C,A)).
% 8.10/8.10 ** KEPT (pick-wt=23): 238 [] -is_fun_a_bool(A)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),image_a_a(B,C)))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,$f4(B,C,A)),C)).
% 8.10/8.10 ** KEPT (pick-wt=21): 239 [] -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,$f4(B,C,A))).
% 8.10/8.10 ** KEPT (pick-wt=22): 241 [copy,240,flip.4] -is_fun_a_bool(A)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),image_a_a(B,C)))|image_a_a(B,$f4(B,C,A))=A.
% 8.10/8.10 ** KEPT (pick-wt=17): 242 [] -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($f5(B,C,A)).
% 8.10/8.10 ** KEPT (pick-wt=21): 243 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A))| -hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,A),image_a_fun_nat_bool(B,C)))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,$f5(B,C,A)),C)).
% 8.10/8.10 ** KEPT (pick-wt=19): 244 [] -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,$f5(B,C,A))).
% 8.10/8.10 ** KEPT (pick-wt=20): 246 [copy,245,flip.3] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A))| -hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,A),image_a_fun_nat_bool(B,C)))|image_a_fun_nat_bool(B,$f5(B,C,A))=A.
% 8.10/8.10 ** KEPT (pick-wt=19): 247 [] -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($f6(B,C,A)).
% 8.10/8.10 ** KEPT (pick-wt=23): 248 [] -is_fun1661590463l_bool(A)| -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A))| -hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,A),image_819518260e_bool(B,C)))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,$f6(B,C,A)),C)).
% 8.10/8.10 ** KEPT (pick-wt=21): 249 [] -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,$f6(B,C,A))).
% 8.10/8.10 ** KEPT (pick-wt=22): 251 [copy,250,flip.4] -is_fun1661590463l_bool(A)| -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A))| -hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,A),image_819518260e_bool(B,C)))|image_819518260e_bool(B,$f6(B,C,A))=A.
% 8.10/8.10 ** KEPT (pick-wt=19): 252 [] -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($f7(B,C,A)).
% 8.10/8.10 ** KEPT (pick-wt=23): 253 [] -is_fun949378684l_bool(A)| -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A))| -hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,A),image_a_fun_a_bool(B,C)))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,$f7(B,C,A)),C)).
% 8.10/8.10 ** KEPT (pick-wt=21): 254 [] -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,$f7(B,C,A))).
% 8.10/8.10 ** KEPT (pick-wt=22): 256 [copy,255,flip.4] -is_fun949378684l_bool(A)| -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A))| -hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,A),image_a_fun_a_bool(B,C)))|image_a_fun_a_bool(B,$f7(B,C,A))=A.
% 8.10/8.10 ** KEPT (pick-wt=19): 257 [] -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)))|is_fun_a_bool($f8(B,C,A)).
% 8.10/8.10 ** KEPT (pick-wt=23): 258 [] -is_fun_pname_bool(A)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),image_a_pname(B,C)))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,$f8(B,C,A)),C)).
% 8.10/8.10 ** KEPT (pick-wt=21): 259 [] -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,$f8(B,C,A))).
% 8.10/8.10 ** KEPT (pick-wt=22): 261 [copy,260,flip.4] -is_fun_pname_bool(A)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),image_a_pname(B,C)))|image_a_pname(B,$f8(B,C,A))=A.
% 8.10/8.10 ** KEPT (pick-wt=23): 262 [] -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,$f9(B,C,A)),C)).
% 8.10/8.10 ** KEPT (pick-wt=21): 263 [] -is_fun_pname_bool(A)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),image_1921560913_pname(B,C)))|hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,$f9(B,C,A))).
% 8.10/8.10 ** KEPT (pick-wt=22): 265 [copy,264,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_1921560913_pname(B,C)))|image_1921560913_pname(B,$f9(B,C,A))=A.
% 8.10/8.10 ** KEPT (pick-wt=19): 266 [] -is_fun_pname_bool(A)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),image_1283814551_pname(B,C)))|is_fun1661590463l_bool($f10(B,C,A)).
% 8.10/8.10 ** KEPT (pick-wt=23): 267 [] -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_1283814551_pname(B,C)))|hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,$f10(B,C,A)),C)).
% 8.10/8.10 ** KEPT (pick-wt=21): 268 [] -is_fun_pname_bool(A)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),image_1283814551_pname(B,C)))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,$f10(B,C,A))).
% 8.10/8.10 ** KEPT (pick-wt=22): 270 [copy,269,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_1283814551_pname(B,C)))|image_1283814551_pname(B,$f10(B,C,A))=A.
% 8.10/8.10 ** KEPT (pick-wt=19): 271 [] -is_fun_pname_bool(A)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),image_1854862208_pname(B,C)))|is_fun949378684l_bool($f11(B,C,A)).
% 8.10/8.10 ** KEPT (pick-wt=23): 272 [] -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_1854862208_pname(B,C)))|hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,$f11(B,C,A)),C)).
% 8.10/8.10 ** KEPT (pick-wt=21): 273 [] -is_fun_pname_bool(A)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),image_1854862208_pname(B,C)))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,$f11(B,C,A))).
% 8.10/8.10 ** KEPT (pick-wt=22): 275 [copy,274,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_1854862208_pname(B,C)))|image_1854862208_pname(B,$f11(B,C,A))=A.
% 8.10/8.10 ** KEPT (pick-wt=17): 276 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),image_a_nat(B,C)))|is_fun_a_bool($f12(B,C,A)).
% 8.10/8.10 ** KEPT (pick-wt=21): 277 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),image_a_nat(B,C)))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,$f12(B,C,A)),C)).
% 8.10/8.10 ** KEPT (pick-wt=19): 278 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),image_a_nat(B,C)))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,$f12(B,C,A))).
% 8.10/8.10 ** KEPT (pick-wt=20): 280 [copy,279,flip.3] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),image_a_nat(B,C)))|image_a_nat(B,$f12(B,C,A))=A.
% 8.10/8.10 ** KEPT (pick-wt=21): 281 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),image_496248727ol_nat(B,C)))|hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,$f13(B,C,A)),C)).
% 8.10/8.10 ** KEPT (pick-wt=19): 282 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),image_496248727ol_nat(B,C)))|hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,$f13(B,C,A))).
% 8.10/8.10 ** KEPT (pick-wt=20): 284 [copy,283,flip.3] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),image_496248727ol_nat(B,C)))|image_496248727ol_nat(B,$f13(B,C,A))=A.
% 8.10/8.10 ** KEPT (pick-wt=17): 285 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),image_1551609309ol_nat(B,C)))|is_fun1661590463l_bool($f14(B,C,A)).
% 8.10/8.10 ** KEPT (pick-wt=21): 286 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),image_1551609309ol_nat(B,C)))|hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,$f14(B,C,A)),C)).
% 8.10/8.10 ** KEPT (pick-wt=19): 287 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),image_1551609309ol_nat(B,C)))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,$f14(B,C,A))).
% 8.10/8.10 ** KEPT (pick-wt=20): 289 [copy,288,flip.3] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),image_1551609309ol_nat(B,C)))|image_1551609309ol_nat(B,$f14(B,C,A))=A.
% 8.10/8.10 ** KEPT (pick-wt=17): 290 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),image_fun_a_bool_nat(B,C)))|is_fun949378684l_bool($f15(B,C,A)).
% 8.10/8.10 ** KEPT (pick-wt=21): 291 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),image_fun_a_bool_nat(B,C)))|hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,$f15(B,C,A)),C)).
% 8.10/8.10 ** KEPT (pick-wt=19): 292 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),image_fun_a_bool_nat(B,C)))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,$f15(B,C,A))).
% 8.10/8.10 ** KEPT (pick-wt=20): 294 [copy,293,flip.3] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),image_fun_a_bool_nat(B,C)))|image_fun_a_bool_nat(B,$f15(B,C,A))=A.
% 8.10/8.10 ** KEPT (pick-wt=17): 295 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A))| -hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,A),image_2129980159t_bool(B,C)))|is_fun_pname_bool($f16(B,C,A)).
% 8.10/8.10 ** KEPT (pick-wt=21): 296 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A))| -hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,A),image_2129980159t_bool(B,C)))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,$f16(B,C,A)),C)).
% 8.10/8.10 ** KEPT (pick-wt=19): 297 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A))| -hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,A),image_2129980159t_bool(B,C)))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,$f16(B,C,A))).
% 8.10/8.10 ** KEPT (pick-wt=20): 299 [copy,298,flip.3] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A))| -hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,A),image_2129980159t_bool(B,C)))|image_2129980159t_bool(B,$f16(B,C,A))=A.
% 8.10/8.10 ** KEPT (pick-wt=19): 300 [] -is_fun1661590463l_bool(A)| -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A))| -hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,A),image_47868345e_bool(B,C)))|is_fun_pname_bool($f17(B,C,A)).
% 8.10/8.10 ** KEPT (pick-wt=23): 301 [] -is_fun1661590463l_bool(A)| -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A))| -hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,A),image_47868345e_bool(B,C)))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,$f17(B,C,A)),C)).
% 8.10/8.10 ** KEPT (pick-wt=21): 302 [] -is_fun1661590463l_bool(A)| -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A))| -hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,A),image_47868345e_bool(B,C)))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,$f17(B,C,A))).
% 8.10/8.10 ** KEPT (pick-wt=22): 304 [copy,303,flip.4] -is_fun1661590463l_bool(A)| -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A))| -hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,A),image_47868345e_bool(B,C)))|image_47868345e_bool(B,$f17(B,C,A))=A.
% 8.10/8.11 ** KEPT (pick-wt=19): 305 [] -is_fun949378684l_bool(A)| -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A))| -hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,A),image_112932426a_bool(B,C)))|is_fun_pname_bool($f18(B,C,A)).
% 8.10/8.11 ** KEPT (pick-wt=23): 306 [] -is_fun949378684l_bool(A)| -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A))| -hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,A),image_112932426a_bool(B,C)))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,$f18(B,C,A)),C)).
% 8.10/8.11 ** KEPT (pick-wt=21): 307 [] -is_fun949378684l_bool(A)| -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A))| -hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,A),image_112932426a_bool(B,C)))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,$f18(B,C,A))).
% 8.10/8.11 ** KEPT (pick-wt=22): 309 [copy,308,flip.4] -is_fun949378684l_bool(A)| -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A))| -hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,A),image_112932426a_bool(B,C)))|image_112932426a_bool(B,$f18(B,C,A))=A.
% 8.10/8.11 ** KEPT (pick-wt=19): 310 [] -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_pname_pname(B,C)))|is_fun_pname_bool($f19(B,C,A)).
% 8.10/8.11 ** KEPT (pick-wt=23): 311 [] -is_fun_pname_bool(A)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),image_pname_pname(B,C)))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,$f19(B,C,A)),C)).
% 8.10/8.11 ** KEPT (pick-wt=21): 312 [] -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_pname_pname(B,C)))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,$f19(B,C,A))).
% 8.10/8.11 ** KEPT (pick-wt=22): 314 [copy,313,flip.4] -is_fun_pname_bool(A)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),image_pname_pname(B,C)))|image_pname_pname(B,$f19(B,C,A))=A.
% 8.10/8.11 ** KEPT (pick-wt=17): 315 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),image_pname_nat(B,C)))|is_fun_pname_bool($f20(B,C,A)).
% 8.10/8.11 ** KEPT (pick-wt=21): 316 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),image_pname_nat(B,C)))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,$f20(B,C,A)),C)).
% 8.10/8.11 ** KEPT (pick-wt=19): 317 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),image_pname_nat(B,C)))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,$f20(B,C,A))).
% 8.10/8.11 ** KEPT (pick-wt=20): 319 [copy,318,flip.3] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),image_pname_nat(B,C)))|image_pname_nat(B,$f20(B,C,A))=A.
% 8.10/8.11 ** KEPT (pick-wt=23): 320 [] -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_nat_a(B,C)))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,$f21(B,C,A)),C)).
% 8.10/8.11 ** KEPT (pick-wt=21): 321 [] -is_fun_a_bool(A)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),image_nat_a(B,C)))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,$f21(B,C,A))).
% 8.10/8.11 ** KEPT (pick-wt=22): 323 [copy,322,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_nat_a(B,C)))|image_nat_a(B,$f21(B,C,A))=A.
% 8.10/8.11 ** KEPT (pick-wt=21): 324 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A))| -hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,A),image_26036933t_bool(B,C)))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,$f22(B,C,A)),C)).
% 8.10/8.11 ** KEPT (pick-wt=19): 325 [] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A))| -hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,A),image_26036933t_bool(B,C)))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,$f22(B,C,A))).
% 8.10/8.11 ** KEPT (pick-wt=20): 327 [copy,326,flip.3] -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A))| -hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,A),image_26036933t_bool(B,C)))|image_26036933t_bool(B,$f22(B,C,A))=A.
% 8.10/8.11 ** KEPT (pick-wt=23): 328 [] -is_fun1661590463l_bool(A)| -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A))| -hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,A),image_1655916159e_bool(B,C)))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,$f23(B,C,A)),C)).
% 8.10/8.11 ** KEPT (pick-wt=21): 329 [] -is_fun1661590463l_bool(A)| -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A))| -hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,A),image_1655916159e_bool(B,C)))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,$f23(B,C,A))).
% 8.10/8.11 ** KEPT (pick-wt=22): 331 [copy,330,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_1655916159e_bool(B,C)))|image_1655916159e_bool(B,$f23(B,C,A))=A.
% 8.10/8.11 ** KEPT (pick-wt=23): 332 [] -is_fun949378684l_bool(A)| -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A))| -hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,A),image_nat_fun_a_bool(B,C)))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,$f24(B,C,A)),C)).
% 8.10/8.11 ** KEPT (pick-wt=21): 333 [] -is_fun949378684l_bool(A)| -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A))| -hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,A),image_nat_fun_a_bool(B,C)))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,$f24(B,C,A))).
% 8.10/8.11 ** KEPT (pick-wt=22): 335 [copy,334,flip.4] -is_fun949378684l_bool(A)| -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A))| -hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,A),image_nat_fun_a_bool(B,C)))|image_nat_fun_a_bool(B,$f24(B,C,A))=A.
% 8.10/8.11 ** KEPT (pick-wt=23): 336 [] -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_nat_pname(B,C)))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,$f25(B,C,A)),C)).
% 8.10/8.11 ** KEPT (pick-wt=21): 337 [] -is_fun_pname_bool(A)| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),image_nat_pname(B,C)))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,$f25(B,C,A))).
% 8.10/8.11 ** KEPT (pick-wt=22): 339 [copy,338,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_nat_pname(B,C)))|image_nat_pname(B,$f25(B,C,A))=A.
% 8.10/8.11 ** KEPT (pick-wt=21): 340 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),image_nat_nat(B,C)))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,$f26(B,C,A)),C)).
% 8.10/8.11 ** KEPT (pick-wt=19): 341 [] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),image_nat_nat(B,C)))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,$f26(B,C,A))).
% 8.10/8.11 ** KEPT (pick-wt=20): 343 [copy,342,flip.3] -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),image_nat_nat(B,C)))|image_nat_nat(B,$f26(B,C,A))=A.
% 8.10/8.11 ** KEPT (pick-wt=19): 344 [] -is_fun_a_bool(A)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite
% 8.10/8.11 Search stopped in tp_alloc by max_mem option.
% 8.10/8.11 _a,A))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),image_pname_a(B,C)))|is_fun_pname_bool($f27(B,C,A)).
% 8.10/8.11 ** KEPT (pick-wt=23): 345 [] -is_fun_a_bool(A)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),image_pname_a(B,C)))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,$f27(B,C,A)),C)).
% 8.10/8.11 ** KEPT (pick-wt=21): 346 [] -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_pname_a(B,C)))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,$f27(B,C,A))).
% 8.10/8.11 ** KEPT (pick-wt=22): 348 [copy,347,flip.4] -is_fun_a_bool(A)| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),image_pname_a(B,C)))|image_pname_a(B,$f27(B,C,A))=A.
% 8.10/8.11 ** KEPT (pick-wt=34): 349 [] -hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,hAPP_nat_bool(A,$f28(B,C,A))),hAPP_nat_bool(A,hAPP_nat_nat(suc,$f28(B,C,A)))))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),C))|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,hAPP_nat_bool(A,B)),hAPP_nat_bool(A,C))).
% 8.10/8.11 ** KEPT (pick-wt=34): 350 [] -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_n1025906991e_bool(A,$f29(B,C,A))),hAPP_n1025906991e_bool(A,hAPP_nat_nat(suc,$f29(B,C,A)))))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),C))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_n1025906991e_bool(A,B)),hAPP_n1025906991e_bool(A,C))).
% 8.10/8.11 ** KEPT (pick-wt=34): 351 [] -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_n1699378549t_bool(A,$f30(B,C,A))),hAPP_n1699378549t_bool(A,hAPP_nat_nat(suc,$f30(B,C,A)))))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),C))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_n1699378549t_bool(A,B)),hAPP_n1699378549t_bool(A,C))).
% 8.10/8.11 ** KEPT (pick-wt=34): 352 [] -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_nat_fun_a_bool(A,$f31(B,C,A))),hAPP_nat_fun_a_bool(A,hAPP_nat_nat(suc,$f31(B,C,A)))))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),C))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_nat_fun_a_bool(A,B)),hAPP_nat_fun_a_bool(A,C))).
% 8.10/8.11 ** KEPT (pick-wt=34): 353 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(A,$f32(B,C,A))),hAPP_nat_nat(A,hAPP_nat_nat(suc,$f32(B,C,A)))))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(A,B)),hAPP_nat_nat(A,C))).
% 8.10/8.11 ** KEPT (pick-wt=18): 354 [] hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_nat_pname(B,A)))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,$f33(B,A)),A)).
% 8.10/8.11 ** KEPT (pick-wt=31): 355 [] hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_nat_pname(B,A)))| -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),A)),hAPP_p1499970991t_bool(cOMBC_nat_pname_bool(cOMBB_1212655066ol_nat(fe_qual_pname,B)),hAPP_nat_pname(B,$f33(B,A))))))).
% 8.10/8.11 ** KEPT (pick-wt=14): 356 [] hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_a_pname(B,A)))|is_a($f34(B,A)).
% 8.10/8.11 ** KEPT (pick-wt=18): 357 [] hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_a_pname(B,A)))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,$f34(B,A)),A)).
% 8.10/8.11
% 8.10/8.11 Search stopped in tp_alloc by max_mem option.
% 8.10/8.11
% 8.10/8.11 ============ end of search ============
% 8.10/8.11
% 8.10/8.11 -------------- statistics -------------
% 8.10/8.11 clauses given 0
% 8.10/8.11 clauses generated 0
% 8.10/8.11 clauses kept 330
% 8.10/8.11 clauses forward subsumed 23
% 8.10/8.11 clauses back subsumed 0
% 8.10/8.11 Kbytes malloced 11718
% 8.10/8.11
% 8.10/8.11 ----------- times (seconds) -----------
% 8.10/8.11 user CPU time 0.15 (0 hr, 0 min, 0 sec)
% 8.10/8.11 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 8.10/8.11 wall-clock time 8 (0 hr, 0 min, 8 sec)
% 8.10/8.11
% 8.10/8.11 Process 3998 finished Wed Jul 27 03:15:19 2022
% 8.10/8.11 Otter interrupted
% 8.10/8.11 PROOF NOT FOUND
%------------------------------------------------------------------------------